---
APC_amount: 2748 EUR
OA_place: publisher
OA_type: hybrid
_id: '17634'
abstract:
- lang: eng
  text: System behaviors are traditionally evaluated through binary classifications
    of correctness, which do not suffice for properties involving quantitative aspects
    of systems and executions. Quantitative automata offer a more nuanced approach,
    mapping each execution to a real number by incorporating weighted transitions
    and value functions generalizing acceptance conditions. In this paper, we introduce
    QuAK, the first tool designed to automate the analysis of quantitative automata.
    QuAK currently supports a variety of quantitative automaton types, including Inf,
    Sup, LimInf, LimSup, LimInfAvg, and LimSupAvg automata, and implements decision
    procedures for problems such as emptiness, universality, inclusion, equivalence,
    as well as for checking whether an automaton is safe, live, or constant. Additionally,
    QuAK is able to compute extremal values when possible, construct safety-liveness
    decompositions, and monitor system behaviors. We demonstrate the effectiveness
    of QuAK through experiments focusing on the inclusion, constant-function check,
    and monitoring problems.
acknowledgement: This work was supported in part by the ERC-2020-AdG 101020093. N.
  Mazzocchi was affiliated with ISTA when his collaboration started.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
arxiv: 1
author:
- first_name: Marek
  full_name: Chalupa, Marek
  id: 87e34708-d6c6-11ec-9f5b-9391e7be2463
  last_name: Chalupa
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Nicolas Adrien
  full_name: Mazzocchi, Nicolas Adrien
  id: b26baa86-3308-11ec-87b0-8990f34baa85
  last_name: Mazzocchi
- first_name: Naci E
  full_name: Sarac, Naci E
  id: 8C6B42F8-C8E6-11E9-A03A-F2DCE5697425
  last_name: Sarac
citation:
  ama: 'Chalupa M, Henzinger TA, Mazzocchi NA, Sarac NE. QuAK: Quantitative Automata
    Kit. In: <i>12th International Symposium on Leveraging Applications of Formal
    Methods, Verification and Validation</i>. Vol 15222. Springer Nature; 2024:3-20.
    doi:<a href="https://doi.org/10.1007/978-3-031-75387-9_1">10.1007/978-3-031-75387-9_1</a>'
  apa: 'Chalupa, M., Henzinger, T. A., Mazzocchi, N. A., &#38; Sarac, N. E. (2024).
    QuAK: Quantitative Automata Kit. In <i>12th International Symposium on Leveraging
    Applications of Formal Methods, Verification and Validation</i> (Vol. 15222, pp.
    3–20). Crete, Greece: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-75387-9_1">https://doi.org/10.1007/978-3-031-75387-9_1</a>'
  chicago: 'Chalupa, Marek, Thomas A Henzinger, Nicolas Adrien Mazzocchi, and Naci
    E Sarac. “QuAK: Quantitative Automata Kit.” In <i>12th International Symposium
    on Leveraging Applications of Formal Methods, Verification and Validation</i>,
    15222:3–20. Springer Nature, 2024. <a href="https://doi.org/10.1007/978-3-031-75387-9_1">https://doi.org/10.1007/978-3-031-75387-9_1</a>.'
  ieee: 'M. Chalupa, T. A. Henzinger, N. A. Mazzocchi, and N. E. Sarac, “QuAK: Quantitative
    Automata Kit,” in <i>12th International Symposium on Leveraging Applications of
    Formal Methods, Verification and Validation</i>, Crete, Greece, 2024, vol. 15222,
    pp. 3–20.'
  ista: 'Chalupa M, Henzinger TA, Mazzocchi NA, Sarac NE. 2024. QuAK: Quantitative
    Automata Kit. 12th International Symposium on Leveraging Applications of Formal
    Methods, Verification and Validation. ISoLA: International Symposium on Leveraging
    Applications, LNCS, vol. 15222, 3–20.'
  mla: 'Chalupa, Marek, et al. “QuAK: Quantitative Automata Kit.” <i>12th International
    Symposium on Leveraging Applications of Formal Methods, Verification and Validation</i>,
    vol. 15222, Springer Nature, 2024, pp. 3–20, doi:<a href="https://doi.org/10.1007/978-3-031-75387-9_1">10.1007/978-3-031-75387-9_1</a>.'
  short: M. Chalupa, T.A. Henzinger, N.A. Mazzocchi, N.E. Sarac, in:, 12th International
    Symposium on Leveraging Applications of Formal Methods, Verification and Validation,
    Springer Nature, 2024, pp. 3–20.
conference:
  end_date: 2024-10-31
  location: Crete, Greece
  name: 'ISoLA: International Symposium on Leveraging Applications'
  start_date: 2024-10-27
corr_author: '1'
date_created: 2024-09-05T14:27:08Z
date_published: 2024-10-26T00:00:00Z
date_updated: 2026-07-27T12:48:18Z
day: '26'
ddc:
- '000'
department:
- _id: GradSch
- _id: ToHe
doi: 10.1007/978-3-031-75387-9_1
ec_funded: 1
external_id:
  arxiv:
  - '2409.03569'
  isi:
  - '001419008700001'
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isi: 1
language:
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license: https://creativecommons.org/licenses/by/4.0/
month: '10'
oa: 1
oa_version: Published Version
page: 3-20
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 12th International Symposium on Leveraging Applications of Formal Methods,
  Verification and Validation
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031753862'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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    status: public
scopus_import: '1'
status: public
title: 'QuAK: Quantitative Automata Kit'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 15222
year: '2024'
...
---
_id: '18121'
abstract:
- lang: eng
  text: It is known that sparsity can improve interpretability for deep neural networks.
    However, existing methods in the area either require networks that are pre-trained
    with sparsity constraints, or impose sparsity after the fact, altering the network’s
    general behavior. In this paper, we demonstrate, for the first time, that sparsity
    can instead be incorporated into the interpretation process itself, as a sample-specific
    preprocessing step. Unlike previous work, this approach, which we call SPADE,
    does not place constraints on the trained model and does not affect its behavior
    during inference on the sample. Given a trained model and a target sample, SPADE
    uses sample-targeted pruning to provide a "trace" of the network’s execution on
    the sample, reducing the network to the most important connections prior to computing
    an interpretation. We demonstrate that preprocessing with SPADE significantly
    increases the accuracy of image saliency maps across several interpretability
    methods. Additionally, SPADE improves the usefulness of neuron visualizations,
    aiding humans in reasoning about network behavior. Our code is available at https://github.com/IST-DASLab/SPADE.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: The authors would like to thank Stephen Casper and Tony Wang for
  their feedback on this work, and Eldar Kurtic for his advice on aspects of the project.
  This research was supported by the Scientific Service Units (SSU) of IST Austria
  through resources provided by Scientific Computing (SciComp). EI was supported in
  part by the FWF DK VGSCO, grant agreement number W1260-N35.
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Arshia Soltani
  full_name: Moakhar, Arshia Soltani
  last_name: Moakhar
- first_name: Eugenia B
  full_name: Iofinova, Eugenia B
  id: f9a17499-f6e0-11ea-865d-fdf9a3f77117
  last_name: Iofinova
  orcid: 0000-0002-7778-3221
- first_name: Elias
  full_name: Frantar, Elias
  id: 09a8f98d-ec99-11ea-ae11-c063a7b7fe5f
  last_name: Frantar
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
citation:
  ama: 'Moakhar AS, Iofinova EB, Frantar E, Alistarh D-A. SPADE: Sparsity-guided debugging
    for deep neural networks. In: <i>Proceedings of the 41st International Conference
    on Machine Learning</i>. Vol 235. ML Research Press; 2024:45955-45987.'
  apa: 'Moakhar, A. S., Iofinova, E. B., Frantar, E., &#38; Alistarh, D.-A. (2024).
    SPADE: Sparsity-guided debugging for deep neural networks. In <i>Proceedings of
    the 41st International Conference on Machine Learning</i> (Vol. 235, pp. 45955–45987).
    Vienna, Austria: ML Research Press.'
  chicago: 'Moakhar, Arshia Soltani, Eugenia B Iofinova, Elias Frantar, and Dan-Adrian
    Alistarh. “SPADE: Sparsity-Guided Debugging for Deep Neural Networks.” In <i>Proceedings
    of the 41st International Conference on Machine Learning</i>, 235:45955–87. ML
    Research Press, 2024.'
  ieee: 'A. S. Moakhar, E. B. Iofinova, E. Frantar, and D.-A. Alistarh, “SPADE: Sparsity-guided
    debugging for deep neural networks,” in <i>Proceedings of the 41st International
    Conference on Machine Learning</i>, Vienna, Austria, 2024, vol. 235, pp. 45955–45987.'
  ista: 'Moakhar AS, Iofinova EB, Frantar E, Alistarh D-A. 2024. SPADE: Sparsity-guided
    debugging for deep neural networks. Proceedings of the 41st International Conference
    on Machine Learning. ICML: International Conference on Machine Learning, PMLR,
    vol. 235, 45955–45987.'
  mla: 'Moakhar, Arshia Soltani, et al. “SPADE: Sparsity-Guided Debugging for Deep
    Neural Networks.” <i>Proceedings of the 41st International Conference on Machine
    Learning</i>, vol. 235, ML Research Press, 2024, pp. 45955–87.'
  short: A.S. Moakhar, E.B. Iofinova, E. Frantar, D.-A. Alistarh, in:, Proceedings
    of the 41st International Conference on Machine Learning, ML Research Press, 2024,
    pp. 45955–45987.
conference:
  end_date: 2024-07-27
  location: Vienna, Austria
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2024-07-21
corr_author: '1'
date_created: 2024-09-22T22:01:46Z
date_published: 2024-09-01T00:00:00Z
date_updated: 2026-07-27T12:50:03Z
day: '01'
department:
- _id: DaAl
external_id:
  arxiv:
  - '2310.04519'
intvolume: '       235'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2310.04519
month: '09'
oa: 1
oa_version: Preprint
page: 45955-45987
project:
- _id: 9B9290DE-BA93-11EA-9121-9846C619BF3A
  grant_number: W1260-N35
  name: Vienna Graduate School on Computational Optimization
publication: Proceedings of the 41st International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/IST-DASLab/SPADE
  record:
  - id: '21854'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'SPADE: Sparsity-guided debugging for deep neural networks'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 235
year: '2024'
...
---
APC_amount: 3149,96 EUR
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '15297'
abstract:
- lang: eng
  text: Populations evolve by accumulating advantageous mutations. Every population
    has some spatial structure that can be modeled by an underlying network. The network
    then influences the probability that new advantageous mutations fixate. Amplifiers
    of selection are networks that increase the fixation probability of advantageous
    mutants, as compared to the unstructured fully-connected network. Whether or not
    a network is an amplifier depends on the choice of the random process that governs
    the evolutionary dynamics. Two popular choices are Moran process with Birth-death
    updating and Moran process with death-Birth updating. Interestingly, while some
    networks are amplifiers under Birth-death updating and other networks are amplifiers
    under death-Birth updating, so far no spatial structures have been found that
    function as an amplifier under both types of updating simultaneously. In this
    work, we identify networks that act as amplifiers of selection under both versions
    of the Moran process. The amplifiers are robust, modular, and increase fixation
    probability for any mutant fitness advantage in a range r ∈ (1, 1.2). To complement
    this positive result, we also prove that for certain quantities closely related
    to fixation probability, it is impossible to improve them simultaneously for both
    versions of the Moran process. Together, our results highlight how the two versions
    of the Moran process differ and what they have in common.
acknowledgement: "We thank Gavin Rees for helpful discussions. J.S., S.J., and K.C
  were supported by\r\nEuropean Research Council (ERC) CoG 863818 (ForM-SMArt). J.T
  was supported by Center for Foundations of Modern Computer Science (Charles University
  project UNCE/SCI/004) and by the project PRIMUS/24/SCI/012 from Charles University. "
article_number: e1012008
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Soham Shrikant
  full_name: Joshi, Soham Shrikant
  id: f97aac0e-f57c-11ee-93d0-a5a82d8df168
  last_name: Joshi
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Svoboda J, Joshi SS, Tkadlec J, Chatterjee K. Amplifiers of selection for the
    Moran process with both Birth-death and death-Birth updating. <i>PLoS Computational
    Biology</i>. 2024;20(3). doi:<a href="https://doi.org/10.1371/journal.pcbi.1012008">10.1371/journal.pcbi.1012008</a>
  apa: Svoboda, J., Joshi, S. S., Tkadlec, J., &#38; Chatterjee, K. (2024). Amplifiers
    of selection for the Moran process with both Birth-death and death-Birth updating.
    <i>PLoS Computational Biology</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1012008">https://doi.org/10.1371/journal.pcbi.1012008</a>
  chicago: Svoboda, Jakub, Soham Shrikant Joshi, Josef Tkadlec, and Krishnendu Chatterjee.
    “Amplifiers of Selection for the Moran Process with Both Birth-Death and Death-Birth
    Updating.” <i>PLoS Computational Biology</i>. Public Library of Science, 2024.
    <a href="https://doi.org/10.1371/journal.pcbi.1012008">https://doi.org/10.1371/journal.pcbi.1012008</a>.
  ieee: J. Svoboda, S. S. Joshi, J. Tkadlec, and K. Chatterjee, “Amplifiers of selection
    for the Moran process with both Birth-death and death-Birth updating,” <i>PLoS
    Computational Biology</i>, vol. 20, no. 3. Public Library of Science, 2024.
  ista: Svoboda J, Joshi SS, Tkadlec J, Chatterjee K. 2024. Amplifiers of selection
    for the Moran process with both Birth-death and death-Birth updating. PLoS Computational
    Biology. 20(3), e1012008.
  mla: Svoboda, Jakub, et al. “Amplifiers of Selection for the Moran Process with
    Both Birth-Death and Death-Birth Updating.” <i>PLoS Computational Biology</i>,
    vol. 20, no. 3, e1012008, Public Library of Science, 2024, doi:<a href="https://doi.org/10.1371/journal.pcbi.1012008">10.1371/journal.pcbi.1012008</a>.
  short: J. Svoboda, S.S. Joshi, J. Tkadlec, K. Chatterjee, PLoS Computational Biology
    20 (2024).
corr_author: '1'
date_created: 2024-04-07T22:00:55Z
date_published: 2024-03-29T00:00:00Z
date_updated: 2026-07-27T12:52:03Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1012008
ec_funded: 1
external_id:
  arxiv:
  - '2401.14914'
  isi:
  - '001194482400002'
file:
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  checksum: a511cf369d9172beb123fe73f291b5cc
  content_type: application/pdf
  creator: dernst
  date_created: 2024-08-20T10:52:28Z
  date_updated: 2024-08-20T10:52:28Z
  file_id: '17450'
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  file_size: 1425292
  relation: main_file
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file_date_updated: 2024-08-20T10:52:28Z
has_accepted_license: '1'
intvolume: '        20'
isi: 1
issue: '3'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: PLoS Computational Biology
publication_identifier:
  eissn:
  - 1553-7358
  issn:
  - 1553-734X
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
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  - id: '20138'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Amplifiers of selection for the Moran process with both Birth-death and death-Birth
  updating
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 20
year: '2024'
...
---
APC_amount: 3143,76 EUR
OA_place: publisher
OA_type: hybrid
_id: '18703'
abstract:
- lang: eng
  text: 'Spatial games provide a simple and elegant mathematical model to study the
    evolution of cooperation in networks. In spatial games, individuals reside in
    vertices, adopt simple strategies, and interact with neighbors to receive a payoff.
    Depending on their own and neighbors’ payoffs, individuals can change their strategy.
    The payoff is determined by the Prisoners’ Dilemma, a classical matrix game, where
    players cooperate or defect. While cooperation is the desired behavior, defection
    provides a higher payoff for a selfish individual. There are many theoretical
    and empirical studies related to the role of the network in the evolution of cooperation.
    However, the fundamental question of whether there exist networks that for low
    initial cooperation rate ensure a high chance of fixation, i.e., cooperation spreads
    across the whole population, has remained elusive for spatial games with strong
    selection. In this work, we answer this fundamental question in the affirmative
    by presenting network structures that ensure high fixation probability for cooperators
    in the strong selection regime. Besides, our structures have many desirable properties:
    (a) they ensure the spread of cooperation even for a low initial density of cooperation
    and high temptation of defection, (b) they have constant degrees, and (c) the
    number of steps, until cooperation spreads, is at most quadratic in the size of
    the network.'
acknowledgement: J.S. and K.C. were supported by the European Research Council CoG
  863818 (ForM-SMArt) and Austrian Science Fund 10.55776/COE12.
article_number: e2405605121
article_processing_charge: Yes
article_type: original
author:
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Svoboda J, Chatterjee K. Density amplifiers of cooperation for spatial games.
    <i>Proceedings of the National Academy of Sciences of the United States of America</i>.
    2024;121(50). doi:<a href="https://doi.org/10.1073/pnas.2405605121">10.1073/pnas.2405605121</a>
  apa: Svoboda, J., &#38; Chatterjee, K. (2024). Density amplifiers of cooperation
    for spatial games. <i>Proceedings of the National Academy of Sciences of the United
    States of America</i>. National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.2405605121">https://doi.org/10.1073/pnas.2405605121</a>
  chicago: Svoboda, Jakub, and Krishnendu Chatterjee. “Density Amplifiers of Cooperation
    for Spatial Games.” <i>Proceedings of the National Academy of Sciences of the
    United States of America</i>. National Academy of Sciences, 2024. <a href="https://doi.org/10.1073/pnas.2405605121">https://doi.org/10.1073/pnas.2405605121</a>.
  ieee: J. Svoboda and K. Chatterjee, “Density amplifiers of cooperation for spatial
    games,” <i>Proceedings of the National Academy of Sciences of the United States
    of America</i>, vol. 121, no. 50. National Academy of Sciences, 2024.
  ista: Svoboda J, Chatterjee K. 2024. Density amplifiers of cooperation for spatial
    games. Proceedings of the National Academy of Sciences of the United States of
    America. 121(50), e2405605121.
  mla: Svoboda, Jakub, and Krishnendu Chatterjee. “Density Amplifiers of Cooperation
    for Spatial Games.” <i>Proceedings of the National Academy of Sciences of the
    United States of America</i>, vol. 121, no. 50, e2405605121, National Academy
    of Sciences, 2024, doi:<a href="https://doi.org/10.1073/pnas.2405605121">10.1073/pnas.2405605121</a>.
  short: J. Svoboda, K. Chatterjee, Proceedings of the National Academy of Sciences
    of the United States of America 121 (2024).
corr_author: '1'
date_created: 2024-12-22T23:01:47Z
date_published: 2024-12-10T00:00:00Z
date_updated: 2026-07-27T12:52:03Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1073/pnas.2405605121
ec_funded: 1
external_id:
  isi:
  - '001379596100014'
  pmid:
  - '39642209'
file:
- access_level: open_access
  checksum: 0115e9090b478e0644308c6dab58605b
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-02T12:14:15Z
  date_updated: 2025-01-02T12:14:15Z
  file_id: '18721'
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  file_size: 2491151
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file_date_updated: 2025-01-02T12:14:15Z
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intvolume: '       121'
isi: 1
issue: '50'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '12'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the National Academy of Sciences of the United States
  of America
publication_identifier:
  eissn:
  - 1091-6490
  issn:
  - 0027-8424
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
related_material:
  record:
  - id: '20138'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Density amplifiers of cooperation for spatial games
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 121
year: '2024'
...
---
OA_place: repository
_id: '18689'
abstract:
- lang: eng
  text: Multiplexed fluorescence microscopy imaging is widely used in biomedical applications.
    However, simultaneous imaging of multiple fluorophores can result in spectral
    leaks and overlapping, which greatly degrades image quality and subsequent analysis.
    Existing popular spectral unmixing methods are mainly based on computational intensive
    linear models and the performance is heavily dependent on the reference spectra,
    which may greatly preclude its further applications. In this paper, we propose
    a deep learning-based blindly spectral unmixing method, termed AutoUnmix, to imitate
    the physical spectral mixing process. A tranfer learning framework is further
    devised to allow our AutoUnmix adapting to a variety of imaging systems without
    retraining the network. Our proposed method has demonstrated real-time unmixing
    capabilities, surpassing existing methods by up to 100-fold in terms of unmixing
    speed. We further validate the reconstruction performance on both synthetic datasets
    and biological samples. The unmixing results of AutoUnmix achieve a highest SSIM
    of 0.99 in both three- and four-color imaging, with nearly up to 20% higher than
    other popular unmixing methods. Due to the desirable property of data independency
    and superior blind unmixing performance, we believe AutoUnmix is a powerful tool
    to study the interaction process of different organelles labeled by multiple fluorophores.
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
- _id: M-Shop
- _id: E-Lib
acknowledgement: "We gratefully acknowledge support by the Scientific Service Units
  at ISTA, including the Imaging and Optics and Lab Support facilities and the mechanical
  workshop and Library. We thank Philipp Velicky for STED microscope alignment.\r\n\r\nThis
  project has received funding from the Austrian Science Fund (FWF): I 3630-B25 (J.G.D)
  and the European Research Council (ERC) under the European Union’s Horizon 2020
  research and innovation programme (grant agreement No 742985, J.F.). It has also
  received funding from the European Union’s Horizon 2020 research and innovation
  programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. S.T. has
  received funding as an ISTplus Fellow from the European Union’s Horizon 2020 Research
  and Innovation Programme under Marie Skłodowska-Curie grant agreement no. 754411
  and from an EMBO Long-Term Fellowship (grant number ALTF 679-2018). It has further
  received funding from the Austrian Science Fund (FWF) grant DK W1232 (M.T, N.A-D.,
  J.G.D). W.J. received funding via a Human Frontier Science Program postdoctoral
  fellowship LT000557/2018.\r\n\r\nThe funders had no role in study design, data collection
  and analysis, decision to publish or preparation of the manuscript."
article_processing_charge: No
author:
- first_name: Michelle C
  full_name: Gallei, Michelle C
  id: 35A03822-F248-11E8-B48F-1D18A9856A87
  last_name: Gallei
  orcid: 0000-0003-1286-7368
- first_name: Sven M
  full_name: Truckenbrodt, Sven M
  id: 45812BD4-F248-11E8-B48F-1D18A9856A87
  last_name: Truckenbrodt
- first_name: Caroline
  full_name: Kreuzinger, Caroline
  id: 382077BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kreuzinger
- first_name: Syamala
  full_name: Inumella, Syamala
  id: F8660870-D756-11E9-98C5-34DFE5697425
  last_name: Inumella
  orcid: 0009-0002-5890-120X
- first_name: Vitali
  full_name: Vistunou, Vitali
  id: 7e146587-8972-11ed-ae7b-d7a32ea86a81
  last_name: Vistunou
- first_name: Christoph M
  full_name: Sommer, Christoph M
  id: 4DF26D8C-F248-11E8-B48F-1D18A9856A87
  last_name: Sommer
  orcid: 0000-0003-1216-9105
- first_name: Mojtaba
  full_name: Tavakoli, Mojtaba
  id: 3A0A06F4-F248-11E8-B48F-1D18A9856A87
  last_name: Tavakoli
  orcid: 0000-0002-7667-6854
- first_name: Nathalie
  full_name: Agudelo Duenas, Nathalie
  id: 40E7F008-F248-11E8-B48F-1D18A9856A87
  last_name: Agudelo Duenas
- first_name: Jakob
  full_name: Vorlaufer, Jakob
  id: 937696FA-C996-11E9-8C7C-CF13E6697425
  last_name: Vorlaufer
  orcid: 0009-0000-7590-3501
- first_name: Wiebke
  full_name: Jahr, Wiebke
  id: 425C1CE8-F248-11E8-B48F-1D18A9856A87
  last_name: Jahr
  orcid: 0000-0003-0201-2315
- first_name: Marek
  full_name: Randuch, Marek
  id: 6ac4636d-15b2-11ec-abd3-fb8df79972ae
  last_name: Randuch
- first_name: Alexander J
  full_name: Johnson, Alexander J
  id: 46A62C3A-F248-11E8-B48F-1D18A9856A87
  last_name: Johnson
  orcid: 0000-0002-2739-8843
- first_name: Eva
  full_name: Benková, Eva
  id: 38F4F166-F248-11E8-B48F-1D18A9856A87
  last_name: Benková
  orcid: 0000-0002-8510-9739
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Johann G
  full_name: Danzl, Johann G
  id: 42EFD3B6-F248-11E8-B48F-1D18A9856A87
  last_name: Danzl
  orcid: 0000-0001-8559-3973
citation:
  ama: Gallei MC, Truckenbrodt SM, Kreuzinger C, et al. Super-resolution expansion
    microscopy in plant roots. <i>bioRxiv</i>. doi:<a href="https://doi.org/10.1101/2024.02.21.581330">10.1101/2024.02.21.581330</a>
  apa: Gallei, M. C., Truckenbrodt, S. M., Kreuzinger, C., Inumella, S., Vistunou,
    V., Sommer, C. M., … Danzl, J. G. (n.d.). Super-resolution expansion microscopy
    in plant roots. <i>bioRxiv</i>. <a href="https://doi.org/10.1101/2024.02.21.581330">https://doi.org/10.1101/2024.02.21.581330</a>
  chicago: Gallei, Michelle C, Sven M Truckenbrodt, Caroline Kreuzinger, Syamala Inumella,
    Vitali Vistunou, Christoph M Sommer, Mojtaba Tavakoli, et al. “Super-Resolution
    Expansion Microscopy in Plant Roots.” <i>BioRxiv</i>, n.d. <a href="https://doi.org/10.1101/2024.02.21.581330">https://doi.org/10.1101/2024.02.21.581330</a>.
  ieee: M. C. Gallei <i>et al.</i>, “Super-resolution expansion microscopy in plant
    roots,” <i>bioRxiv</i>. .
  ista: Gallei MC, Truckenbrodt SM, Kreuzinger C, Inumella S, Vistunou V, Sommer CM,
    Tavakoli M, Agudelo Duenas N, Vorlaufer J, Jahr W, Randuch M, Johnson AJ, Benková
    E, Friml J, Danzl JG. Super-resolution expansion microscopy in plant roots. bioRxiv,
    <a href="https://doi.org/10.1101/2024.02.21.581330">10.1101/2024.02.21.581330</a>.
  mla: Gallei, Michelle C., et al. “Super-Resolution Expansion Microscopy in Plant
    Roots.” <i>BioRxiv</i>, doi:<a href="https://doi.org/10.1101/2024.02.21.581330">10.1101/2024.02.21.581330</a>.
  short: M.C. Gallei, S.M. Truckenbrodt, C. Kreuzinger, S. Inumella, V. Vistunou,
    C.M. Sommer, M. Tavakoli, N. Agudelo Duenas, J. Vorlaufer, W. Jahr, M. Randuch,
    A.J. Johnson, E. Benková, J. Friml, J.G. Danzl, BioRxiv (n.d.).
corr_author: '1'
date_created: 2024-12-19T12:28:00Z
date_published: 2024-02-21T00:00:00Z
date_updated: 2026-07-28T08:33:52Z
day: '21'
department:
- _id: EvBe
- _id: JoDa
- _id: JiFr
doi: 10.1101/2024.02.21.581330
ec_funded: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1101/2024.02.21.581330
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '742985'
  name: Tracing Evolution of Auxin Transport and Polarity in Plants
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 26AA4EF2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: W1232-B24
  name: Molecular Drug Targets
- _id: 269B5B22-B435-11E9-9278-68D0E5697425
  grant_number: ALTF 679-2018
  name: UltraX - achieving sub-nanometer resolution in light microscopy using iterative
    X10 microscopy in combination with nanobodies and STED
publication: bioRxiv
publication_status: draft
related_material:
  record:
  - id: '19003'
    relation: later_version
    status: public
  - id: '18681'
    relation: dissertation_contains
    status: public
status: public
title: Super-resolution expansion microscopy in plant roots
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
OA_place: repository
_id: '18688'
abstract:
- lang: eng
  text: The human brain has remarkable computational power. It generates sophisticated
    behavioral sequences, stores engrams over an individual’s lifetime, and produces
    higher cognitive functions up to the level of consciousness. However, so little
    of our neuroscience knowledge covers the human brain, and it remains unknown whether
    this organ is truly unique, or is a scaled version of the extensively studied
    rodent brain. To address this fundamental question, we determined the cellular,
    synaptic, and connectivity rules of the hippocampal CA3 recurrent circuit using
    multicellular patch clamp-recording. This circuit is the largest autoassociative
    network in the brain, and plays a key role in memory and higher-order computations
    such as pattern separation and pattern completion. We demonstrate that human hippocampal
    CA3 employs sparse connectivity, in stark contrast to neocortical recurrent networks.
    Connectivity sparsifies from rodents to humans, providing a circuit architecture
    that maximizes associational power. Unitary synaptic events at human CA3–CA3 synapses
    showed both distinct species-specific and circuit-dependent properties, with high
    reliability, unique amplitude precision, and long integration times. We also identify
    differential scaling rules between hippocampal pathways from rodents to humans,
    with a moderate increase in the convergence of CA3 inputs per cell, but a marked
    increase in human mossy fiber innervation. Anatomically guided full-scale modeling
    suggests that the human brain’s sparse connectivity, expanded neuronal number,
    and reliable synaptic signaling combine to enhance the associative memory storage
    capacity of CA3. Together, our results reveal unique rules of connectivity and
    synaptic signaling in the human hippocampus, demonstrating the absolute necessity
    of human brain research and beginning to unravel the remarkable performance of
    our autoassociative memory circuits.
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
- _id: M-Shop
- _id: PreCl
- _id: ScienComp
acknowledgement: We thank Florian Marr for excellent technical assistance, Christina
  Altmutter and Julia Flor for technical support, Alois Schlögl for programming, Todor
  Asenov for development of the transportation box for human brain tissue, Tim Vogels
  for guidance on simulations, Marcus Huber for mathematical advice, and Eleftheria
  Kralli-Beller for manuscript editing. This research was supported by the Scientific
  Services Units (SSUs) of ISTA, and we are particularly grateful for assistance from
  Christoph Sommer and the Imaging and Optics Facility, Preclinical Facility, Life
  Science Facility, Miba Machine Shop, and Scientific Computing. We also acknowledge
  the excellent support of the Medical University of Vienna Department of Neurosurgery
  staff, Romana Hoeftberger and the Division of Neuropathology and Neurochemistry,
  and Gregor Kasprian and the Division of Neuroradiology and Musculoskeletal Radiology.
  The project received funding from the European Research Council (ERC) under the
  European Union’s Horizon 2020 research and innovation programme (Marie Skłodowska-Curie
  Actions Individual Fellowship no. 101026635 to J.F.W.), the Austrian Science Fund
  (FWF; grant PAT 4178023 to P.J.; grant DK W1232 to M.R.T. and J.G.D.) and the Austrian
  Academy of Sciences (DOC fellowship 26137 to M.R.T.).
article_processing_charge: No
author:
- first_name: Jake F.
  full_name: Watson, Jake F.
  last_name: Watson
- first_name: Victor
  full_name: Vargas-Barroso, Victor
  last_name: Vargas-Barroso
- first_name: Rebecca J.
  full_name: Morse-Mora, Rebecca J.
  last_name: Morse-Mora
- first_name: Andrea
  full_name: Navas-Olive, Andrea
  last_name: Navas-Olive
- first_name: Mojtaba
  full_name: Tavakoli, Mojtaba
  id: 3A0A06F4-F248-11E8-B48F-1D18A9856A87
  last_name: Tavakoli
  orcid: 0000-0002-7667-6854
- first_name: Johann G
  full_name: Danzl, Johann G
  id: 42EFD3B6-F248-11E8-B48F-1D18A9856A87
  last_name: Danzl
  orcid: 0000-0001-8559-3973
- first_name: Matthias
  full_name: Tomschik, Matthias
  last_name: Tomschik
- first_name: Karl
  full_name: Rössler, Karl
  last_name: Rössler
- first_name: Peter M
  full_name: Jonas, Peter M
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
citation:
  ama: Watson JF, Vargas-Barroso V, Morse-Mora RJ, et al. Human hippocampal CA3 uses
    specific functional connectivity rules for efficient associative memory. <i>bioRxiv</i>.
    doi:<a href="https://doi.org/10.1101/2024.05.02.592169">10.1101/2024.05.02.592169</a>
  apa: Watson, J. F., Vargas-Barroso, V., Morse-Mora, R. J., Navas-Olive, A., Tavakoli,
    M., Danzl, J. G., … Jonas, P. M. (n.d.). Human hippocampal CA3 uses specific functional
    connectivity rules for efficient associative memory. <i>bioRxiv</i>. <a href="https://doi.org/10.1101/2024.05.02.592169">https://doi.org/10.1101/2024.05.02.592169</a>
  chicago: Watson, Jake F., Victor Vargas-Barroso, Rebecca J. Morse-Mora, Andrea Navas-Olive,
    Mojtaba Tavakoli, Johann G Danzl, Matthias Tomschik, Karl Rössler, and Peter M
    Jonas. “Human Hippocampal CA3 Uses Specific Functional Connectivity Rules for
    Efficient Associative Memory.” <i>BioRxiv</i>, n.d. <a href="https://doi.org/10.1101/2024.05.02.592169">https://doi.org/10.1101/2024.05.02.592169</a>.
  ieee: J. F. Watson <i>et al.</i>, “Human hippocampal CA3 uses specific functional
    connectivity rules for efficient associative memory,” <i>bioRxiv</i>. .
  ista: Watson JF, Vargas-Barroso V, Morse-Mora RJ, Navas-Olive A, Tavakoli M, Danzl
    JG, Tomschik M, Rössler K, Jonas PM. Human hippocampal CA3 uses specific functional
    connectivity rules for efficient associative memory. bioRxiv, <a href="https://doi.org/10.1101/2024.05.02.592169">10.1101/2024.05.02.592169</a>.
  mla: Watson, Jake F., et al. “Human Hippocampal CA3 Uses Specific Functional Connectivity
    Rules for Efficient Associative Memory.” <i>BioRxiv</i>, doi:<a href="https://doi.org/10.1101/2024.05.02.592169">10.1101/2024.05.02.592169</a>.
  short: J.F. Watson, V. Vargas-Barroso, R.J. Morse-Mora, A. Navas-Olive, M. Tavakoli,
    J.G. Danzl, M. Tomschik, K. Rössler, P.M. Jonas, BioRxiv (n.d.).
corr_author: '1'
date_created: 2024-12-19T11:35:08Z
date_published: 2024-05-02T00:00:00Z
date_updated: 2026-07-28T08:33:51Z
day: '02'
department:
- _id: JoDa
- _id: PeJo
doi: 10.1101/2024.05.02.592169
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1101/2024.05.02.592169
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: fc2be41b-9c52-11eb-aca3-faa90aa144e9
  call_identifier: H2020
  grant_number: '101026635'
  name: Synaptic computations of the hippocampal CA3 circuitry
- _id: 26AA4EF2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: W1232-B24
  name: Molecular Drug Targets
- _id: 6285a163-2b32-11ec-9570-8e204ca2dba5
  grant_number: '26137'
  name: Studying Organelle Structure and Function at Nanoscale Resolution with Expansion
    Microscopy
publication: bioRxiv
publication_status: draft
related_material:
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  - id: '18879'
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    status: public
  - id: '18681'
    relation: dissertation_contains
    status: public
status: public
title: Human hippocampal CA3 uses specific functional connectivity rules for efficient
  associative memory
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
OA_embargo: '20'
OA_place: publisher
_id: '18681'
acknowledged_ssus:
- _id: Bio
- _id: PreCl
- _id: LifeSc
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Mojtaba
  full_name: Tavakoli, Mojtaba
  id: 3A0A06F4-F248-11E8-B48F-1D18A9856A87
  last_name: Tavakoli
  orcid: 0000-0002-7667-6854
citation:
  ama: 'Tavakoli M. Developing molecular and structural tools for studying brain architecture
    with super resolution expansion microscopy. LICONN: Molecularly-informed connectomics
    reconstruction with light microscopy. 2024. doi:<a href="https://doi.org/10.15479/at:ista:18681">10.15479/at:ista:18681</a>'
  apa: 'Tavakoli, M. (2024). <i>Developing molecular and structural tools for studying
    brain architecture with super resolution expansion microscopy. LICONN: Molecularly-informed
    connectomics reconstruction with light microscopy</i>. Institute of Science and
    Technology Austria. <a href="https://doi.org/10.15479/at:ista:18681">https://doi.org/10.15479/at:ista:18681</a>'
  chicago: 'Tavakoli, Mojtaba. “Developing Molecular and Structural Tools for Studying
    Brain Architecture with Super Resolution Expansion Microscopy. LICONN: Molecularly-Informed
    Connectomics Reconstruction with Light Microscopy.” Institute of Science and Technology
    Austria, 2024. <a href="https://doi.org/10.15479/at:ista:18681">https://doi.org/10.15479/at:ista:18681</a>.'
  ieee: 'M. Tavakoli, “Developing molecular and structural tools for studying brain
    architecture with super resolution expansion microscopy. LICONN: Molecularly-informed
    connectomics reconstruction with light microscopy,” Institute of Science and Technology
    Austria, 2024.'
  ista: 'Tavakoli M. 2024. Developing molecular and structural tools for studying
    brain architecture with super resolution expansion microscopy. LICONN: Molecularly-informed
    connectomics reconstruction with light microscopy. Institute of Science and Technology
    Austria.'
  mla: 'Tavakoli, Mojtaba. <i>Developing Molecular and Structural Tools for Studying
    Brain Architecture with Super Resolution Expansion Microscopy. LICONN: Molecularly-Informed
    Connectomics Reconstruction with Light Microscopy</i>. Institute of Science and
    Technology Austria, 2024, doi:<a href="https://doi.org/10.15479/at:ista:18681">10.15479/at:ista:18681</a>.'
  short: 'M. Tavakoli, Developing Molecular and Structural Tools for Studying Brain
    Architecture with Super Resolution Expansion Microscopy. LICONN: Molecularly-Informed
    Connectomics Reconstruction with Light Microscopy, Institute of Science and Technology
    Austria, 2024.'
corr_author: '1'
das_tickbox: '1'
date_created: 2024-12-19T02:30:39Z
date_published: 2024-12-20T00:00:00Z
date_updated: 2026-07-28T08:33:52Z
day: '20'
ddc:
- '600'
- '570'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JoDa
doi: 10.15479/at:ista:18681
doi_confirm: '1'
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month: '12'
oa_version: Published Version
page: '230'
project:
- _id: 6285a163-2b32-11ec-9570-8e204ca2dba5
  grant_number: '26137'
  name: Studying Organelle Structure and Function at Nanoscale Resolution with Expansion
    Microscopy
- _id: 26AA4EF2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: W1232-B24
  name: Molecular Drug Targets
publication_identifier:
  isbn:
  - 978-3-99078-048-0
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
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supervisor:
- first_name: Johann G
  full_name: Danzl, Johann G
  id: 42EFD3B6-F248-11E8-B48F-1D18A9856A87
  last_name: Danzl
  orcid: 0000-0001-8559-3973
title: 'Developing molecular and structural tools for studying brain architecture
  with super resolution expansion microscopy. LICONN: Molecularly-informed connectomics
  reconstruction with light microscopy'
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: repository
_id: '18677'
abstract:
- lang: eng
  text: The information-processing capability of the brain’s cellular network depends
    on the physical wiring pattern between neurons and their molecular and functional
    characteristics. Mapping neurons and resolving their individual synaptic connections
    can be achieved by volumetric imaging at nanoscale resolution with dense cellular
    labeling. Light microscopy is uniquely positioned to visualize specific molecules
    but dense, synapse-level circuit reconstruction by light microscopy has been out
    of reach due to limitations in resolution, contrast, and volumetric imaging capability.
    Here we developed light-microscopy based connectomics (LICONN). We integrated
    specifically engineered hydrogel embedding and expansion with comprehensive deep-learning
    based segmentation and analysis of connectivity, thus directly incorporating molecular
    information in synapse-level brain tissue reconstructions. LICONN will allow synapse-level
    brain tissue phenotyping in biological experiments in a readily adoptable manner.
acknowledged_ssus:
- _id: E-Lib
- _id: M-Shop
- _id: LifeSc
- _id: Bio
- _id: ScienComp
acknowledgement: "We thank Sven Dorkenwald and Peter Li for critical reading of the\r\nmanuscript.
  We acknowledge expert support by ISTA’s scientific service units: Imaging and\r\nOptics,
  Lab Support, Scientific Computing, Preclinical Facility, Miba Machine Shop, and
  Library.\r\nWe gratefully acknowledge funding by the following sources:\r\nAustrian
  Science Fund (FWF) grant DK W1232 (JGD, MRT)\r\nAustrian Academy of Sciences DOC
  fellowship 26137 (MRT)\r\nEU Horizon 2020 program, Marie Skłodowska-Curie Actions
  Fellowship 665385 (JL)\r\nGesellschaft für Forschungsförderung NÖ (NFB) grant LSC18-022
  (JGD)\r\nEuropean Union’s Horizon 2020 research and innovation programme, European
  Research\r\nCouncil (ERC) grant 101044865 “SecretAutism.”\r\n"
article_processing_charge: No
author:
- first_name: Mojtaba
  full_name: Tavakoli, Mojtaba
  id: 3A0A06F4-F248-11E8-B48F-1D18A9856A87
  last_name: Tavakoli
  orcid: 0000-0002-7667-6854
- first_name: Julia
  full_name: Lyudchik, Julia
  id: 46E28B80-F248-11E8-B48F-1D18A9856A87
  last_name: Lyudchik
- first_name: Michał
  full_name: Januszewski, Michał
  last_name: Januszewski
- first_name: Vitali
  full_name: Vistunou, Vitali
  id: 7e146587-8972-11ed-ae7b-d7a32ea86a81
  last_name: Vistunou
- first_name: Nathalie
  full_name: Agudelo Duenas, Nathalie
  id: 40E7F008-F248-11E8-B48F-1D18A9856A87
  last_name: Agudelo Duenas
- first_name: Jakob
  full_name: Vorlaufer, Jakob
  id: 937696FA-C996-11E9-8C7C-CF13E6697425
  last_name: Vorlaufer
  orcid: 0009-0000-7590-3501
- first_name: Christoph M
  full_name: Sommer, Christoph M
  id: 4DF26D8C-F248-11E8-B48F-1D18A9856A87
  last_name: Sommer
  orcid: 0000-0003-1216-9105
- first_name: Caroline
  full_name: Kreuzinger, Caroline
  id: 382077BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kreuzinger
- first_name: Bárbara
  full_name: Oliveira, Bárbara
  id: 3B03AA1A-F248-11E8-B48F-1D18A9856A87
  last_name: Oliveira
- first_name: Alban
  full_name: Cenameri, Alban
  id: 9ac8f577-2357-11eb-997a-e566c5550886
  last_name: Cenameri
- first_name: Gaia
  full_name: Novarino, Gaia
  id: 3E57A680-F248-11E8-B48F-1D18A9856A87
  last_name: Novarino
  orcid: 0000-0002-7673-7178
- first_name: Viren
  full_name: Jain, Viren
  last_name: Jain
- first_name: Johann G
  full_name: Danzl, Johann G
  id: 42EFD3B6-F248-11E8-B48F-1D18A9856A87
  last_name: Danzl
  orcid: 0000-0001-8559-3973
citation:
  ama: Tavakoli M, Lyudchik J, Januszewski M, et al. Light-microscopy based dense
    connectomic reconstruction of mammalian brain tissue. <i>bioRxiv</i>. doi:<a href="https://doi.org/10.1101/2024.03.01.582884">10.1101/2024.03.01.582884</a>
  apa: Tavakoli, M., Lyudchik, J., Januszewski, M., Vistunou, V., Agudelo Duenas,
    N., Vorlaufer, J., … Danzl, J. G. (n.d.). Light-microscopy based dense connectomic
    reconstruction of mammalian brain tissue. <i>bioRxiv</i>. <a href="https://doi.org/10.1101/2024.03.01.582884">https://doi.org/10.1101/2024.03.01.582884</a>
  chicago: Tavakoli, Mojtaba, Julia Lyudchik, Michał Januszewski, Vitali Vistunou,
    Nathalie Agudelo Duenas, Jakob Vorlaufer, Christoph M Sommer, et al. “Light-Microscopy
    Based Dense Connectomic Reconstruction of Mammalian Brain Tissue.” <i>BioRxiv</i>,
    n.d. <a href="https://doi.org/10.1101/2024.03.01.582884">https://doi.org/10.1101/2024.03.01.582884</a>.
  ieee: M. Tavakoli <i>et al.</i>, “Light-microscopy based dense connectomic reconstruction
    of mammalian brain tissue,” <i>bioRxiv</i>. .
  ista: Tavakoli M, Lyudchik J, Januszewski M, Vistunou V, Agudelo Duenas N, Vorlaufer
    J, Sommer CM, Kreuzinger C, Oliveira B, Cenameri A, Novarino G, Jain V, Danzl
    JG. Light-microscopy based dense connectomic reconstruction of mammalian brain
    tissue. bioRxiv, <a href="https://doi.org/10.1101/2024.03.01.582884">10.1101/2024.03.01.582884</a>.
  mla: Tavakoli, Mojtaba, et al. “Light-Microscopy Based Dense Connectomic Reconstruction
    of Mammalian Brain Tissue.” <i>BioRxiv</i>, doi:<a href="https://doi.org/10.1101/2024.03.01.582884">10.1101/2024.03.01.582884</a>.
  short: M. Tavakoli, J. Lyudchik, M. Januszewski, V. Vistunou, N. Agudelo Duenas,
    J. Vorlaufer, C.M. Sommer, C. Kreuzinger, B. Oliveira, A. Cenameri, G. Novarino,
    V. Jain, J.G. Danzl, BioRxiv (n.d.).
corr_author: '1'
date_created: 2024-12-18T14:48:24Z
date_published: 2024-07-08T00:00:00Z
date_updated: 2026-07-28T08:33:51Z
day: '08'
department:
- _id: GaNo
- _id: JoDa
doi: 10.1101/2024.03.01.582884
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1101/2024.03.01.582884
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 6285a163-2b32-11ec-9570-8e204ca2dba5
  grant_number: '26137'
  name: Studying Organelle Structure and Function at Nanoscale Resolution with Expansion
    Microscopy
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 34ba8964-11ca-11ed-8bc3-e15864e7e9a6
  grant_number: '101044865'
  name: Toward an understanding of the brain interstitial system and the extracellular
    proteome in health and autism spectrum disorders
- _id: 26AA4EF2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: W1232-B24
  name: Molecular Drug Targets
publication: bioRxiv
publication_status: draft
related_material:
  record:
  - id: '18674'
    relation: dissertation_contains
    status: public
  - id: '19704'
    relation: later_version
    status: public
  - id: '18681'
    relation: dissertation_contains
    status: public
status: public
title: Light-microscopy based dense connectomic reconstruction of mammalian brain
  tissue
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
APC_amount: 6468 EUR
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '14793'
abstract:
- lang: eng
  text: Superconductor/semiconductor hybrid devices have attracted increasing interest
    in the past years. Superconducting electronics aims to complement semiconductor
    technology, while hybrid architectures are at the forefront of new ideas such
    as topological superconductivity and protected qubits. In this work, we engineer
    the induced superconductivity in two-dimensional germanium hole gas by varying
    the distance between the quantum well and the aluminum. We demonstrate a hard
    superconducting gap and realize an electrically and flux tunable superconducting
    diode using a superconducting quantum interference device (SQUID). This allows
    to tune the current phase relation (CPR), to a regime where single Cooper pair
    tunneling is suppressed, creating a sin(2y) CPR. Shapiro experiments complement
    this interpretation and the microwave drive allows to create a diode with ≈ 100%
    efficiency. The reported results open up the path towards integration of spin
    qubit devices, microwave resonators and (protected) superconducting qubits on  the
    same silicon technology compatible platform.
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
acknowledgement: "We acknowledge Alexander Brinkmann, Alessandro Crippa, Francesco
  Giazotto, Andrew Higginbotham, Andrea Iorio, Giordano Scappucci, Christian Schonenberger,
  and Lukas Splitthoff for helpful discussions. We thank Marcel Verheijen for the
  support in the TEM analysis. This research and related results were made possible
  with the support of the NOMIS\r\nFoundation. It was supported by the Scientific
  Service Units of ISTA through resources provided by the MIBA Machine Shop and the
  nanofabrication facility, the European Union’s Horizon 2020 research andinnovation
  programme under Grant Agreement No 862046, the HORIZONRIA\r\n101069515 project,
  the European Innovation Council Pathfinder grant no. 101115315 (QuKiT), and the
  FWF Projects #P-32235, #P-36507 and #F-8606. For the purpose of open access, the
  authors have applied a CC BY public copyright licence to any Author Accepted Manuscript
  version arising from this submission. R.S.S. acknowledges Spanish CM “Talento Program\"\r\nProject
  No. 2022-T1/IND-24070. J.J. acknowledges European Research Council TOCINA 834290."
article_number: '169'
article_processing_charge: Yes
article_type: original
author:
- first_name: Marco
  full_name: Valentini, Marco
  id: C0BB2FAC-D767-11E9-B658-BC13E6697425
  last_name: Valentini
- first_name: Oliver
  full_name: Sagi, Oliver
  id: 71616374-A8E9-11E9-A7CA-09ECE5697425
  last_name: Sagi
- first_name: Levon
  full_name: Baghumyan, Levon
  id: 7aa1f788-b527-11ee-aa9e-e6111a79e0c7
  last_name: Baghumyan
- first_name: Thijs
  full_name: de Gijsel, Thijs
  id: a0ece13c-b527-11ee-929d-bad130106eee
  last_name: de Gijsel
- first_name: Jason
  full_name: Jung, Jason
  id: 4C9ACE7A-F248-11E8-B48F-1D18A9856A87
  last_name: Jung
- first_name: Stefano
  full_name: Calcaterra, Stefano
  last_name: Calcaterra
- first_name: Andrea
  full_name: Ballabio, Andrea
  last_name: Ballabio
- first_name: Juan L
  full_name: Aguilera Servin, Juan L
  id: 2A67C376-F248-11E8-B48F-1D18A9856A87
  last_name: Aguilera Servin
  orcid: 0000-0002-2862-8372
- first_name: Kushagra
  full_name: Aggarwal, Kushagra
  id: b22ab905-3539-11eb-84c3-fc159dcd79cb
  last_name: Aggarwal
  orcid: 0000-0001-9985-9293
- first_name: Marian
  full_name: Janik, Marian
  id: 396A1950-F248-11E8-B48F-1D18A9856A87
  last_name: Janik
  orcid: 0009-0003-9037-8831
- first_name: Thomas
  full_name: Adletzberger, Thomas
  id: 38756BB2-F248-11E8-B48F-1D18A9856A87
  last_name: Adletzberger
- first_name: Rubén
  full_name: Seoane Souto, Rubén
  last_name: Seoane Souto
- first_name: Martin
  full_name: Leijnse, Martin
  last_name: Leijnse
- first_name: Jeroen
  full_name: Danon, Jeroen
  last_name: Danon
- first_name: Constantin
  full_name: Schrade, Constantin
  last_name: Schrade
- first_name: Erik
  full_name: Bakkers, Erik
  last_name: Bakkers
- first_name: Daniel
  full_name: Chrastina, Daniel
  last_name: Chrastina
- first_name: Giovanni
  full_name: Isella, Giovanni
  last_name: Isella
- first_name: Georgios
  full_name: Katsaros, Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
  orcid: 0000-0001-8342-202X
citation:
  ama: Valentini M, Sagi O, Baghumyan L, et al. Parity-conserving Cooper-pair transport
    and ideal superconducting diode in planar germanium. <i>Nature Communications</i>.
    2024;15. doi:<a href="https://doi.org/10.1038/s41467-023-44114-0">10.1038/s41467-023-44114-0</a>
  apa: Valentini, M., Sagi, O., Baghumyan, L., de Gijsel, T., Jung, J., Calcaterra,
    S., … Katsaros, G. (2024). Parity-conserving Cooper-pair transport and ideal superconducting
    diode in planar germanium. <i>Nature Communications</i>. Springer Nature. <a href="https://doi.org/10.1038/s41467-023-44114-0">https://doi.org/10.1038/s41467-023-44114-0</a>
  chicago: Valentini, Marco, Oliver Sagi, Levon Baghumyan, Thijs de Gijsel, Jason
    Jung, Stefano Calcaterra, Andrea Ballabio, et al. “Parity-Conserving Cooper-Pair
    Transport and Ideal Superconducting Diode in Planar Germanium.” <i>Nature Communications</i>.
    Springer Nature, 2024. <a href="https://doi.org/10.1038/s41467-023-44114-0">https://doi.org/10.1038/s41467-023-44114-0</a>.
  ieee: M. Valentini <i>et al.</i>, “Parity-conserving Cooper-pair transport and ideal
    superconducting diode in planar germanium,” <i>Nature Communications</i>, vol.
    15. Springer Nature, 2024.
  ista: Valentini M, Sagi O, Baghumyan L, de Gijsel T, Jung J, Calcaterra S, Ballabio
    A, Aguilera Servin JL, Aggarwal K, Janik M, Adletzberger T, Seoane Souto R, Leijnse
    M, Danon J, Schrade C, Bakkers E, Chrastina D, Isella G, Katsaros G. 2024. Parity-conserving
    Cooper-pair transport and ideal superconducting diode in planar germanium. Nature
    Communications. 15, 169.
  mla: Valentini, Marco, et al. “Parity-Conserving Cooper-Pair Transport and Ideal
    Superconducting Diode in Planar Germanium.” <i>Nature Communications</i>, vol.
    15, 169, Springer Nature, 2024, doi:<a href="https://doi.org/10.1038/s41467-023-44114-0">10.1038/s41467-023-44114-0</a>.
  short: M. Valentini, O. Sagi, L. Baghumyan, T. de Gijsel, J. Jung, S. Calcaterra,
    A. Ballabio, J.L. Aguilera Servin, K. Aggarwal, M. Janik, T. Adletzberger, R.
    Seoane Souto, M. Leijnse, J. Danon, C. Schrade, E. Bakkers, D. Chrastina, G. Isella,
    G. Katsaros, Nature Communications 15 (2024).
corr_author: '1'
date_created: 2024-01-14T23:00:56Z
date_published: 2024-01-02T00:00:00Z
date_updated: 2026-07-29T07:04:56Z
day: '02'
ddc:
- '530'
department:
- _id: GeKa
doi: 10.1038/s41467-023-44114-0
ec_funded: 1
external_id:
  isi:
  - '001142794000839'
  pmid:
  - '38167818'
file:
- access_level: open_access
  checksum: ef79173b45eeaf984ffa61ef2f8a52ab
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-17T11:03:00Z
  date_updated: 2024-01-17T11:03:00Z
  file_id: '14825'
  file_name: 2024_NatureComm_Valentini.pdf
  file_size: 2336595
  relation: main_file
  success: 1
file_date_updated: 2024-01-17T11:03:00Z
has_accepted_license: '1'
intvolume: '        15'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 237E5020-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '862046'
  name: TOPOLOGICALLY PROTECTED AND SCALABLE QUANTUM BITS
- _id: 34c0acea-11ca-11ed-8bc3-8775e10fd452
  grant_number: '101069515'
  name: Integrated Germanium Quantum Technology
- _id: bdc2ca30-d553-11ed-ba76-cf164a5bb811
  grant_number: '101115315'
  name: Quantum bits with Kitaev Transmons
- _id: 237B3DA4-32DE-11EA-91FC-C7463DDC885E
  call_identifier: FWF
  grant_number: P32235
  name: Towards scalable hut wire quantum devices
- _id: bd8bd29e-d553-11ed-ba76-f0070d4b237a
  grant_number: P36507
  name: Merging spin and superconducting qubits in planar Ge
- _id: 34a66131-11ca-11ed-8bc3-a31681c6b03e
  grant_number: F8606
  name: 'Center for Correlated Quantum Materials and Solid State Quantum Systems:
    Conventional  and unconventional topological superconductors'
- _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
  call_identifier: FWF
  name: FWF Open Access Fund
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '13312'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Parity-conserving Cooper-pair transport and ideal superconducting diode in
  planar germanium
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2024'
...
---
_id: '12312'
abstract:
- lang: eng
  text: "Let $\\ell$ be a prime number. We classify the subgroups $G$ of $\\operatorname{Sp}_4(\\mathbb{F}_\\ell)$
    and $\\operatorname{GSp}_4(\\mathbb{F}_\\ell)$ that act irreducibly on $\\mathbb{F}_\\ell^4$,
    but such that every element of $G$ fixes an $\\mathbb{F}_\\ell$-vector subspace
    of dimension 1. We use this classification to prove that the local-global principle
    for isogenies of degree $\\ell$ between abelian surfaces over number fields holds
    in many cases -- in particular, whenever the abelian surface has non-trivial endomorphisms
    and $\\ell$ is large enough with respect to the field of definition. Finally,
    we prove that there exist arbitrarily large primes $\\ell$ for which some abelian
    surface\r\n$A/\\mathbb{Q}$ fails the local-global principle for isogenies of degree
    $\\ell$."
acknowledgement: "It is a pleasure to thank Samuele Anni for his interest in this
  project and for several discussions on the topic of this paper, which led in particular
  to Remark 6.30 and to a better understanding of the difficulties with [6]. We also
  thank John Cullinan for correspondence about [6] and Barinder Banwait for his many
  insightful comments on the first version of this paper. Finally, we thank the referee
  for their thorough reading of the manuscript.\r\nOpen access funding provided by
  Università di Pisa within the CRUI-CARE Agreement. The authors have been partially
  supported by MIUR (Italy) through PRIN 2017 “Geometric, algebraic and analytic methods
  in arithmetic\" and PRIN 2022 “Semiabelian varieties, Galois representations and
  related Diophantine problems\", and by the University of Pisa through PRA 2018-19
  and 2022 “Spazi di moduli, rappresentazioni e strutture combinatorie\". The first
  author is a member of the INdAM group GNSAGA."
article_number: '18'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Davide
  full_name: Lombardo, Davide
  last_name: Lombardo
- first_name: Matteo
  full_name: Verzobio, Matteo
  id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
  last_name: Verzobio
  orcid: 0000-0002-0854-0306
citation:
  ama: Lombardo D, Verzobio M. On the local-global principle for isogenies of abelian
    surfaces. <i>Selecta Mathematica</i>. 2024;30(2). doi:<a href="https://doi.org/10.1007/s00029-023-00908-0">10.1007/s00029-023-00908-0</a>
  apa: Lombardo, D., &#38; Verzobio, M. (2024). On the local-global principle for
    isogenies of abelian surfaces. <i>Selecta Mathematica</i>. Springer Nature. <a
    href="https://doi.org/10.1007/s00029-023-00908-0">https://doi.org/10.1007/s00029-023-00908-0</a>
  chicago: Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for
    Isogenies of Abelian Surfaces.” <i>Selecta Mathematica</i>. Springer Nature, 2024.
    <a href="https://doi.org/10.1007/s00029-023-00908-0">https://doi.org/10.1007/s00029-023-00908-0</a>.
  ieee: D. Lombardo and M. Verzobio, “On the local-global principle for isogenies
    of abelian surfaces,” <i>Selecta Mathematica</i>, vol. 30, no. 2. Springer Nature,
    2024.
  ista: Lombardo D, Verzobio M. 2024. On the local-global principle for isogenies
    of abelian surfaces. Selecta Mathematica. 30(2), 18.
  mla: Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for Isogenies
    of Abelian Surfaces.” <i>Selecta Mathematica</i>, vol. 30, no. 2, 18, Springer
    Nature, 2024, doi:<a href="https://doi.org/10.1007/s00029-023-00908-0">10.1007/s00029-023-00908-0</a>.
  short: D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024).
corr_author: '1'
das_tickbox: '0'
date_created: 2023-01-16T11:45:53Z
date_published: 2024-01-26T00:00:00Z
date_updated: 2026-07-29T09:53:10Z
day: '26'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1007/s00029-023-00908-0
external_id:
  arxiv:
  - '2206.15240'
  isi:
  - '001148959100001'
file:
- access_level: open_access
  checksum: ae75441420aabd80c5828bce38272ba1
  content_type: application/pdf
  creator: dernst
  date_created: 2024-07-22T09:33:58Z
  date_updated: 2024-07-22T09:33:58Z
  file_id: '17298'
  file_name: 2024_SelectaMath_Lombardo.pdf
  file_size: 1301415
  relation: main_file
  success: 1
file_date_updated: 2024-07-22T09:33:58Z
has_accepted_license: '1'
intvolume: '        30'
isi: 1
issue: '2'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
publication: Selecta Mathematica
publication_identifier:
  eissn:
  - 1420-9020
  issn:
  - 1022-1824
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: On the local-global principle for isogenies of abelian surfaces
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 30
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '19425'
abstract:
- lang: eng
  text: "We demonstrate that periodically driven quantum rotors provide a promising
    and broadly applicable platform to implement multi-gap topological phases, where
    groups of bands can acquire topological invariants due to non-Abelian braiding
    of band degeneracies. By adiabatically varying the periodic kicks to the rotor
    we find nodal-line braiding, which causes sign flips of topological charges of
    band nodes and can prevent them from annihilating, indicated by non-zero values
    of the %non-Abelian patch Euler class. In particular, we report\r\non the emergence
    of an anomalous Dirac string phase arising in the strongly driven regime, a truly
    out-of-equilibrium phase of the quantum rotor. This phase emanates from braiding
    processes involving all (quasienergy) gaps and manifests itself with edge states
    at zero angular momentum. Our results reveal direct applications in state-of-the-art
    experiments of quantum rotors, such as linear molecules driven by periodic far-off-resonant
    laser pulses or artificial\r\nquantum rotors in optical lattices, whose extensive
    versatility offers precise modification and observation of novel non-Abelian topological
    properties. "
acknowledgement: "We thank G. M. Koutentakis, S. Wimberger, J. G. E. Harris, T. Enss
  and A. Ghazaryan for fruitful discussions. M.L. acknowledges support by the European
  Research Council (ERC) Starting Grant No. 801770 (ANGULON). R.-J. S. acknowledges
  funding from a EPSRC ERC underwrite grant EP/X025829/1, a EPSRC New Investigator
  Award grant EP/W00187X/1, as well as Trinity College, Cambridge. F.N.U. acknowledges
  support from the Marie ¨Sk lodowska-Curie programme of the European Commission [Grant
  No. 893915], Simons Investigator Award\r\n[Grant No. 511029] and Trinity College
  Cambridge."
article_number: '2408.16848'
article_processing_charge: No
arxiv: 1
author:
- first_name: Volker
  full_name: Karle, Volker
  id: D7C012AE-D7ED-11E9-95E8-1EC5E5697425
  last_name: Karle
  orcid: 0000-0002-6963-0129
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Adrien
  full_name: Bouhon, Adrien
  last_name: Bouhon
- first_name: Robert-Jan
  full_name: Slager, Robert-Jan
  last_name: Slager
- first_name: F. Nur
  full_name: Ünal, F. Nur
  last_name: Ünal
citation:
  ama: Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological
    phases in periodically driven quantum  rotors. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2408.16848">10.48550/arXiv.2408.16848</a>
  apa: Karle, V., Lemeshko, M., Bouhon, A., Slager, R.-J., &#38; Ünal, F. N. (n.d.).
    Anomalous multi-gap topological phases in periodically driven quantum  rotors.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2408.16848">https://doi.org/10.48550/arXiv.2408.16848</a>
  chicago: Karle, Volker, Mikhail Lemeshko, Adrien Bouhon, Robert-Jan Slager, and
    F. Nur Ünal. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum 
    Rotors.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2408.16848">https://doi.org/10.48550/arXiv.2408.16848</a>.
  ieee: V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, and F. N. Ünal, “Anomalous
    multi-gap topological phases in periodically driven quantum  rotors,” <i>arXiv</i>.
    .
  ista: Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological
    phases in periodically driven quantum  rotors. arXiv, 2408.16848.
  mla: Karle, Volker, et al. “Anomalous Multi-Gap Topological Phases in Periodically
    Driven Quantum  Rotors.” <i>ArXiv</i>, 2408.16848, doi:<a href="https://doi.org/10.48550/arXiv.2408.16848">10.48550/arXiv.2408.16848</a>.
  short: V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, F.N. Ünal, ArXiv (n.d.).
date_created: 2025-03-20T07:48:23Z
date_published: 2024-08-29T00:00:00Z
date_updated: 2026-07-29T08:59:31Z
day: '29'
department:
- _id: MiLe
doi: 10.48550/arXiv.2408.16848
ec_funded: 1
external_id:
  arxiv:
  - '2408.16848'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2408.16848
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '801770'
  name: 'Angulon: physics and applications of a new quasiparticle'
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '19393'
    relation: dissertation_contains
    status: public
  - id: '21009'
    relation: later_version
    status: public
status: public
title: Anomalous multi-gap topological phases in periodically driven quantum  rotors
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
_id: '17127'
abstract:
- lang: eng
  text: "Let  P(x)∈Z[x] be a polynomial with at least two distinct complex roots.
    We prove that the number of solutions  (x1,…,xk,y1,…,yk)∈[N]2k to the equation\r\n∏1≤i≤kP(xi)=∏1≤j≤kP(yj)≠0\r\n(for
    any  k≥1 ) is asymptotically  k!Nk  as  N→+∞. This solves a question first proposed
    and studied by Najnudel. The result can also be interpreted as saying that all
    even moments of random partial sums  1N√∑n≤Nf(P(n)) match standard complex Gaussian
    moments as  N→+∞\r\n , where  f is the Steinhaus random multiplicative function."
acknowledgement: 'We thank Oleksiy Klurman, Ilya Shkredov, and Igor Shparlinski for
  helpful comments on earlier versions of the paper, and thank Yotam Hendel for providing
  a reference for Lemma 2.1. We also thank the anonymous referee for their generous
  corrections and comments. The first author has received funding from the European
  Union''s Horizon 2020 Research and Innovation Program under the Marie Skłodowska-Curie
  Grant Agreement Number: 101034413. The second author is partially supported by the
  Cuthbert C. Hurd Graduate Fellowship in the Mathematical Sciences, Stanford.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Victor
  full_name: Wang, Victor
  id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
  last_name: Wang
  orcid: 0000-0002-0704-7026
- first_name: Max Wenqiang
  full_name: Xu, Max Wenqiang
  last_name: Xu
citation:
  ama: Wang V, Xu MW. Paucity phenomena for polynomial products. <i>Bulletin of the
    London Mathematical Society</i>. 2024;56(8):2718-2726. doi:<a href="https://doi.org/10.1112/blms.13095">10.1112/blms.13095</a>
  apa: Wang, V., &#38; Xu, M. W. (2024). Paucity phenomena for polynomial products.
    <i>Bulletin of the London Mathematical Society</i>. London Mathematical Society.
    <a href="https://doi.org/10.1112/blms.13095">https://doi.org/10.1112/blms.13095</a>
  chicago: Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.”
    <i>Bulletin of the London Mathematical Society</i>. London Mathematical Society,
    2024. <a href="https://doi.org/10.1112/blms.13095">https://doi.org/10.1112/blms.13095</a>.
  ieee: V. Wang and M. W. Xu, “Paucity phenomena for polynomial products,” <i>Bulletin
    of the London Mathematical Society</i>, vol. 56, no. 8. London Mathematical Society,
    pp. 2718–2726, 2024.
  ista: Wang V, Xu MW. 2024. Paucity phenomena for polynomial products. Bulletin of
    the London Mathematical Society. 56(8), 2718–2726.
  mla: Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.”
    <i>Bulletin of the London Mathematical Society</i>, vol. 56, no. 8, London Mathematical
    Society, 2024, pp. 2718–26, doi:<a href="https://doi.org/10.1112/blms.13095">10.1112/blms.13095</a>.
  short: V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726.
das_tickbox: '0'
date_created: 2024-06-09T22:01:03Z
date_published: 2024-08-01T00:00:00Z
date_updated: 2026-07-29T09:57:59Z
day: '01'
ddc:
- '512'
department:
- _id: TiBr
doi: 10.1112/blms.13095
ec_funded: 1
external_id:
  arxiv:
  - '2211.02908'
  isi:
  - '001235729900001'
file:
- access_level: open_access
  checksum: ae386a4031856efac23c7cdcb53b559b
  content_type: application/pdf
  creator: vwang
  date_created: 2024-08-20T08:36:32Z
  date_updated: 2024-08-20T08:36:32Z
  file_id: '17446'
  file_name: Paucity_phenomena_for_polynomial_products__Wang_Xu_ (7).pdf
  file_size: 331775
  relation: main_file
  success: 1
file_date_updated: 2024-08-20T08:36:32Z
has_accepted_license: '1'
intvolume: '        56'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2211.02908
month: '08'
oa: 1
oa_version: Submitted Version
page: 2718-2726
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Bulletin of the London Mathematical Society
publication_identifier:
  eissn:
  - 1469-2120
  issn:
  - 0024-6093
publication_status: published
publisher: London Mathematical Society
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Paucity phenomena for polynomial products
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 56
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '15338'
abstract:
- lang: eng
  text: We introduce a new class of generalised quadratic forms over totally real
    number fields, which is rich enough to capture the arithmetic of arbitrary systems
    of quadrics over the rational numbers. We explore this connection through a version
    of the Hardy–Littlewood circle method over number fields.
acknowledgement: The authors are grateful to Jayce Getz for asking questions that
  set this project in motion and to the anonymous referee for useful comments. T.B.
  was supported by a FWF grant (DOI 10.55776/P32428) and by a grant from the Institute
  for Advanced Study School of Mathematics. L.B.P. was partially supported by NSF
  DMS-2200470 and DMS-1652173, and thanks the Hausdorff Centre for Mathematics for
  hosting research visits.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Lillian B.
  full_name: Pierce, Lillian B.
  last_name: Pierce
- first_name: Damaris
  full_name: Schindler, Damaris
  last_name: Schindler
citation:
  ama: Browning TD, Pierce LB, Schindler D. Generalised quadratic forms over totally
    real number fields. <i>Journal of the Institute of Mathematics of Jussieu</i>.
    2024;23(6):2859-2912. doi:<a href="https://doi.org/10.1017/S1474748024000161">10.1017/S1474748024000161</a>
  apa: Browning, T. D., Pierce, L. B., &#38; Schindler, D. (2024). Generalised quadratic
    forms over totally real number fields. <i>Journal of the Institute of Mathematics
    of Jussieu</i>. Cambridge University Press. <a href="https://doi.org/10.1017/S1474748024000161">https://doi.org/10.1017/S1474748024000161</a>
  chicago: Browning, Timothy D, Lillian B. Pierce, and Damaris Schindler. “Generalised
    Quadratic Forms over Totally Real Number Fields.” <i>Journal of the Institute
    of Mathematics of Jussieu</i>. Cambridge University Press, 2024. <a href="https://doi.org/10.1017/S1474748024000161">https://doi.org/10.1017/S1474748024000161</a>.
  ieee: T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms
    over totally real number fields,” <i>Journal of the Institute of Mathematics of
    Jussieu</i>, vol. 23, no. 6. Cambridge University Press, pp. 2859–2912, 2024.
  ista: Browning TD, Pierce LB, Schindler D. 2024. Generalised quadratic forms over
    totally real number fields. Journal of the Institute of Mathematics of Jussieu.
    23(6), 2859–2912.
  mla: Browning, Timothy D., et al. “Generalised Quadratic Forms over Totally Real
    Number Fields.” <i>Journal of the Institute of Mathematics of Jussieu</i>, vol.
    23, no. 6, Cambridge University Press, 2024, pp. 2859–912, doi:<a href="https://doi.org/10.1017/S1474748024000161">10.1017/S1474748024000161</a>.
  short: T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics
    of Jussieu 23 (2024) 2859–2912.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-04-21T22:00:53Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2026-07-29T09:57:08Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1017/S1474748024000161
external_id:
  arxiv:
  - '2212.11038'
  isi:
  - '001200337400001'
file:
- access_level: open_access
  checksum: b300541d581a71d92314df5ae8c4cc09
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-09T08:56:33Z
  date_updated: 2025-01-09T08:56:33Z
  file_id: '18793'
  file_name: 2024_JournInstMathJussieu_Browning.pdf
  file_size: 690974
  relation: main_file
  success: 1
file_date_updated: 2025-01-09T08:56:33Z
has_accepted_license: '1'
intvolume: '        23'
isi: 1
issue: '6'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 2859-2912
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: Journal of the Institute of Mathematics of Jussieu
publication_identifier:
  eissn:
  - 1475-3030
  issn:
  - 1474-7480
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Generalised quadratic forms over totally real number fields
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 23
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '15337'
abstract:
- lang: eng
  text: We prove the Manin–Peyre conjecture for the number of rational points of bounded
    height outside of a thin subset on a family of Fano threefolds of bidegree (1,
    2).
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria).The authors are grateful to Florian Wilsch for useful comments. While
  working on this paper the authors were supported by FWF grant P 32428.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Dante
  full_name: Bonolis, Dante
  id: 6A459894-5FDD-11E9-AF35-BB24E6697425
  last_name: Bonolis
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Zhizhong
  full_name: Huang, Zhizhong
  id: 21f1b52f-2fd1-11eb-a347-a4cdb9b18a51
  last_name: Huang
citation:
  ama: Bonolis D, Browning TD, Huang Z. Density of rational points on some quadric
    bundle threefolds. <i>Mathematische Annalen</i>. 2024;390:4123-4207. doi:<a href="https://doi.org/10.1007/s00208-024-02854-4">10.1007/s00208-024-02854-4</a>
  apa: Bonolis, D., Browning, T. D., &#38; Huang, Z. (2024). Density of rational points
    on some quadric bundle threefolds. <i>Mathematische Annalen</i>. Springer Nature.
    <a href="https://doi.org/10.1007/s00208-024-02854-4">https://doi.org/10.1007/s00208-024-02854-4</a>
  chicago: Bonolis, Dante, Timothy D Browning, and Zhizhong Huang. “Density of Rational
    Points on Some Quadric Bundle Threefolds.” <i>Mathematische Annalen</i>. Springer
    Nature, 2024. <a href="https://doi.org/10.1007/s00208-024-02854-4">https://doi.org/10.1007/s00208-024-02854-4</a>.
  ieee: D. Bonolis, T. D. Browning, and Z. Huang, “Density of rational points on some
    quadric bundle threefolds,” <i>Mathematische Annalen</i>, vol. 390. Springer Nature,
    pp. 4123–4207, 2024.
  ista: Bonolis D, Browning TD, Huang Z. 2024. Density of rational points on some
    quadric bundle threefolds. Mathematische Annalen. 390, 4123–4207.
  mla: Bonolis, Dante, et al. “Density of Rational Points on Some Quadric Bundle Threefolds.”
    <i>Mathematische Annalen</i>, vol. 390, Springer Nature, 2024, pp. 4123–207, doi:<a
    href="https://doi.org/10.1007/s00208-024-02854-4">10.1007/s00208-024-02854-4</a>.
  short: D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-04-21T22:00:53Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2026-07-29T09:56:42Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1007/s00208-024-02854-4
external_id:
  arxiv:
  - '2204.09322'
  isi:
  - '001204670500001'
file:
- access_level: open_access
  checksum: 5dd51531deb1e4760c38c3c0c7d5aedc
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-09T09:08:14Z
  date_updated: 2025-01-09T09:08:14Z
  file_id: '18796'
  file_name: 2024_MathAnnalen_Bonolis.pdf
  file_size: 1019116
  relation: main_file
  success: 1
file_date_updated: 2025-01-09T09:08:14Z
has_accepted_license: '1'
intvolume: '       390'
isi: 1
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 4123-4207
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: Mathematische Annalen
publication_identifier:
  eissn:
  - 1432-1807
  issn:
  - 0025-5831
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: no
title: Density of rational points on some quadric bundle threefolds
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 390
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '18930'
abstract:
- lang: eng
  text: "We study sumsets \U0001D49C + ℬ in the set of squares \U0001D4AE (and, more
    generally, in the set of kth powers \U0001D4AEk, where k ≥2 is an integer). It
    is known by a result of Gyarmati that \U0001D49C + ℬ ⊂ \U0001D4AEk ∩[1,N] implies
    that min(|\U0001D49C|,|ℬ|) =Ok(logN). Here, we study how the upper bound on |ℬ|
    decreases, when the size of |\U0001D49C| increases (or vice versa). In particular,
    if |\U0001D49C| ≥ Ck1m m(logN)1m , then |ℬ| = Ok(m2logN), for sufficiently large
    N, a positive integer m and an explicit constant C > 0. For example, with m ∼
    loglogN this gives: If |\U0001D49C| ≥ CkloglogN,then |ℬ| = Ok(logN(loglogN)2)."
acknowledgement: This manuscript grew out of the second author’s MSc Thesis at Graz
  University of Technology [34]. C. Elsholtz is supported by a joint FWF-ANR project
  ArithRand, grant numbers FWF I 4945-N and ANR-20-CE91-0006. Both authors would like
  to thank Igor Shparlinski for drawing our attention to related character sum estimates.
  Furthermore, we would like to thank the referee for a careful reading of the paper.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Christian
  full_name: Elsholtz, Christian
  last_name: Elsholtz
- first_name: Lena
  full_name: Wurzinger, Lena
  id: 50c57d72-32a8-11ee-aeea-d652094d2ccd
  last_name: Wurzinger
  orcid: 0009-0004-5360-0074
citation:
  ama: Elsholtz C, Wurzinger L. Sumsets in the set of squares. <i>The Quarterly Journal
    of Mathematics</i>. 2024;75(4):1243-1254. doi:<a href="https://doi.org/10.1093/qmath/haae044">10.1093/qmath/haae044</a>
  apa: Elsholtz, C., &#38; Wurzinger, L. (2024). Sumsets in the set of squares. <i>The
    Quarterly Journal of Mathematics</i>. Oxford University Press. <a href="https://doi.org/10.1093/qmath/haae044">https://doi.org/10.1093/qmath/haae044</a>
  chicago: Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.”
    <i>The Quarterly Journal of Mathematics</i>. Oxford University Press, 2024. <a
    href="https://doi.org/10.1093/qmath/haae044">https://doi.org/10.1093/qmath/haae044</a>.
  ieee: C. Elsholtz and L. Wurzinger, “Sumsets in the set of squares,” <i>The Quarterly
    Journal of Mathematics</i>, vol. 75, no. 4. Oxford University Press, pp. 1243–1254,
    2024.
  ista: Elsholtz C, Wurzinger L. 2024. Sumsets in the set of squares. The Quarterly
    Journal of Mathematics. 75(4), 1243–1254.
  mla: Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” <i>The
    Quarterly Journal of Mathematics</i>, vol. 75, no. 4, Oxford University Press,
    2024, pp. 1243–54, doi:<a href="https://doi.org/10.1093/qmath/haae044">10.1093/qmath/haae044</a>.
  short: C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024)
    1243–1254.
corr_author: '1'
das_tickbox: '0'
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abstract:
- lang: eng
  text: The question of whether or not a given integral polynomial takes infinitely
    many square-free values has only been addressed unconditionally for polynomials
    of degree at most 3. We address this question, on average, for polynomials of
    arbitrary degree.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Igor E.
  full_name: Shparlinski, Igor E.
  last_name: Shparlinski
citation:
  ama: Browning TD, Shparlinski IE. Square-free values of random polynomials. <i>Journal
    of Number Theory</i>. 2024;261:220-240. doi:<a href="https://doi.org/10.1016/j.jnt.2024.02.013">10.1016/j.jnt.2024.02.013</a>
  apa: Browning, T. D., &#38; Shparlinski, I. E. (2024). Square-free values of random
    polynomials. <i>Journal of Number Theory</i>. Elsevier. <a href="https://doi.org/10.1016/j.jnt.2024.02.013">https://doi.org/10.1016/j.jnt.2024.02.013</a>
  chicago: Browning, Timothy D, and Igor E. Shparlinski. “Square-Free Values of Random
    Polynomials.” <i>Journal of Number Theory</i>. Elsevier, 2024. <a href="https://doi.org/10.1016/j.jnt.2024.02.013">https://doi.org/10.1016/j.jnt.2024.02.013</a>.
  ieee: T. D. Browning and I. E. Shparlinski, “Square-free values of random polynomials,”
    <i>Journal of Number Theory</i>, vol. 261. Elsevier, pp. 220–240, 2024.
  ista: Browning TD, Shparlinski IE. 2024. Square-free values of random polynomials.
    Journal of Number Theory. 261, 220–240.
  mla: Browning, Timothy D., and Igor E. Shparlinski. “Square-Free Values of Random
    Polynomials.” <i>Journal of Number Theory</i>, vol. 261, Elsevier, 2024, pp. 220–40,
    doi:<a href="https://doi.org/10.1016/j.jnt.2024.02.013">10.1016/j.jnt.2024.02.013</a>.
  short: T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-04-14T22:01:00Z
date_published: 2024-08-01T00:00:00Z
date_updated: 2026-07-29T09:55:38Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1016/j.jnt.2024.02.013
external_id:
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  - '2305.15493'
  isi:
  - '001220725000001'
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oa_version: Published Version
page: 220-240
publication: Journal of Number Theory
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title: Square-free values of random polynomials
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...
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OA_type: hybrid
_id: '19051'
abstract:
- lang: eng
  text: This paper corrects an error in an earlier work of the author.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. The polynomial sieve and equal sums of like polynomials. <i>International
    Mathematics Research Notices</i>. 2024;2024(13):10165-10168. doi:<a href="https://doi.org/10.1093/imrn/rnae066">10.1093/imrn/rnae066</a>
  apa: Browning, T. D. (2024). The polynomial sieve and equal sums of like polynomials.
    <i>International Mathematics Research Notices</i>. Oxford University Press. <a
    href="https://doi.org/10.1093/imrn/rnae066">https://doi.org/10.1093/imrn/rnae066</a>
  chicago: Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.”
    <i>International Mathematics Research Notices</i>. Oxford University Press, 2024.
    <a href="https://doi.org/10.1093/imrn/rnae066">https://doi.org/10.1093/imrn/rnae066</a>.
  ieee: T. D. Browning, “The polynomial sieve and equal sums of like polynomials,”
    <i>International Mathematics Research Notices</i>, vol. 2024, no. 13. Oxford University
    Press, pp. 10165–10168, 2024.
  ista: Browning TD. 2024. The polynomial sieve and equal sums of like polynomials.
    International Mathematics Research Notices. 2024(13), 10165–10168.
  mla: Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.”
    <i>International Mathematics Research Notices</i>, vol. 2024, no. 13, Oxford University
    Press, 2024, pp. 10165–68, doi:<a href="https://doi.org/10.1093/imrn/rnae066">10.1093/imrn/rnae066</a>.
  short: T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-02-18T07:15:50Z
date_published: 2024-07-01T00:00:00Z
date_updated: 2026-07-29T09:59:57Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1093/imrn/rnae066
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- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 10165-10168
publication: International Mathematics Research Notices
publication_identifier:
  eissn:
  - 1687-0247
  issn:
  - 1073-7928
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publisher: Oxford University Press
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title: The polynomial sieve and equal sums of like polynomials
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...
---
_id: '10018'
abstract:
- lang: eng
  text: In order to study integral points of bounded log-anticanonical height on weak
    del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example,
    we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove
    an analogue of Manin's conjecture for integral points with respect to its singularities
    and its lines.
acknowledgement: The first author was partly supported by grant DE 1646/4-2 of the
  Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant
  P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques
  de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Ulrich
  full_name: Derenthal, Ulrich
  last_name: Derenthal
- first_name: Florian Alexander
  full_name: Wilsch, Florian Alexander
  id: 560601DA-8D36-11E9-A136-7AC1E5697425
  last_name: Wilsch
  orcid: 0000-0001-7302-8256
citation:
  ama: Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. <i>Journal
    of the Institute of Mathematics of Jussieu</i>. 2024;23(3):1259-1294. doi:<a href="https://doi.org/10.1017/S1474748022000482">10.1017/S1474748022000482</a>
  apa: Derenthal, U., &#38; Wilsch, F. A. (2024). Integral points on singular del
    Pezzo surfaces. <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge
    University Press. <a href="https://doi.org/10.1017/S1474748022000482">https://doi.org/10.1017/S1474748022000482</a>
  chicago: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular
    Del Pezzo Surfaces.” <i>Journal of the Institute of Mathematics of Jussieu</i>.
    Cambridge University Press, 2024. <a href="https://doi.org/10.1017/S1474748022000482">https://doi.org/10.1017/S1474748022000482</a>.
  ieee: U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,”
    <i>Journal of the Institute of Mathematics of Jussieu</i>, vol. 23, no. 3. Cambridge
    University Press, pp. 1259–1294, 2024.
  ista: Derenthal U, Wilsch FA. 2024. Integral points on singular del Pezzo surfaces.
    Journal of the Institute of Mathematics of Jussieu. 23(3), 1259–1294.
  mla: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular
    Del Pezzo Surfaces.” <i>Journal of the Institute of Mathematics of Jussieu</i>,
    vol. 23, no. 3, Cambridge University Press, 2024, pp. 1259–94, doi:<a href="https://doi.org/10.1017/S1474748022000482">10.1017/S1474748022000482</a>.
  short: U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu
    23 (2024) 1259–1294.
corr_author: '1'
das_tickbox: '0'
date_created: 2021-09-15T10:06:48Z
date_published: 2024-05-10T00:00:00Z
date_updated: 2026-07-29T10:00:51Z
day: '10'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1017/S1474748022000482
external_id:
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  - '2109.06778'
  isi:
  - '000881319200001'
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has_accepted_license: '1'
intvolume: '        23'
isi: 1
issue: '3'
keyword:
- Integral points
- del Pezzo surface
- universal torsor
- Manin’s conjecture
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 1259-1294
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: Journal of the Institute of Mathematics of Jussieu
publication_identifier:
  eissn:
  - '1475-3030 '
  issn:
  - 1474-7480
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
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supplementarymaterial: no
title: Integral points on singular del Pezzo surfaces
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  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
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year: '2024'
...
---
_id: '17447'
abstract:
- lang: eng
  text: Let  F be a diagonal cubic form over Z in six variables. From the dual variety
    in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally
    extract a weighted count of certain special integral zeros of F in regions of
    diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis
    differs and captures some novel features. We also put forth an axiomatic framework
    for more general F.
acknowledgement: This paper is an important component of the thesis work described
  in [25]; many of my acknowledgements there apply here as well. I also thank my advisor,
  Peter Sarnak, for many helpful suggestions and questions on the exposition, references,
  assumptions, and scope of (various drafts of) the present work. I am also grateful
  to Trevor Wooley for providing some helpful general comments on special subvarieties
  and the reference [24]. I thank Tim Browning for inspiring part of the current title
  of the paper. Finally, thanks are due to the referee for providing many helpful
  suggestions. This work was partially supported by NSF grant DMS-1802211, and the
  European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
  Grant AgreementNo. 101034413.
article_number: e12975
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Victor
  full_name: Wang, Victor
  id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
  last_name: Wang
  orcid: 0000-0002-0704-7026
citation:
  ama: Wang V. Special cubic zeros and the dual variety. <i>Journal of the London
    Mathematical Society</i>. 2024;110(3). doi:<a href="https://doi.org/10.1112/jlms.12975">10.1112/jlms.12975</a>
  apa: Wang, V. (2024). Special cubic zeros and the dual variety. <i>Journal of the
    London Mathematical Society</i>. Wiley. <a href="https://doi.org/10.1112/jlms.12975">https://doi.org/10.1112/jlms.12975</a>
  chicago: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” <i>Journal of
    the London Mathematical Society</i>. Wiley, 2024. <a href="https://doi.org/10.1112/jlms.12975">https://doi.org/10.1112/jlms.12975</a>.
  ieee: V. Wang, “Special cubic zeros and the dual variety,” <i>Journal of the London
    Mathematical Society</i>, vol. 110, no. 3. Wiley, 2024.
  ista: Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London
    Mathematical Society. 110(3), e12975.
  mla: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” <i>Journal of the
    London Mathematical Society</i>, vol. 110, no. 3, e12975, Wiley, 2024, doi:<a
    href="https://doi.org/10.1112/jlms.12975">10.1112/jlms.12975</a>.
  short: V. Wang, Journal of the London Mathematical Society 110 (2024).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-08-20T08:41:40Z
date_published: 2024-08-14T00:00:00Z
date_updated: 2026-07-29T10:02:22Z
day: '14'
ddc:
- '512'
department:
- _id: TiBr
doi: 10.1112/jlms.12975
ec_funded: 1
external_id:
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  - '2108.03396'
  isi:
  - '001310529600001'
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issue: '3'
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- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Journal of the London Mathematical Society
publication_identifier:
  eissn:
  - 1469-7750
  issn:
  - 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
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status: public
supplementarymaterial: no
title: Special cubic zeros and the dual variety
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type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 110
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '17323'
abstract:
- lang: eng
  text: We investigate strong divisibility sequences and produce lower and upper bounds
    for the density of integers in the sequence that only have (somewhat) large prime
    factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility
    sequences, discussing the limitations of our methods. At the end of the paper,
    there is an appendix by Sandro Bettin on divisor closed sets that we use to study
    the density of prime terms that appear in strong divisibility sequences.
acknowledgement: The authors are very grateful to Andrew Granville, Dimitris Koukoulopoulos,
  Davide Lombardo,Florian Luca, Igor Shparlinski and Joni Teräväinen for useful comments.
  While working on thispaper, the first author was supported by a FWF Grant (DOI 10.55776/P36278)
  and the secondauthor was supported by the European Union’s Horizon 2020 research
  and innovation programunder the Marie Skłodowska-Curie Grant Agreement Number 101034413.
article_number: e12269
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Matteo
  full_name: Verzobio, Matteo
  id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
  last_name: Verzobio
  orcid: 0000-0002-0854-0306
citation:
  ama: Browning TD, Verzobio M. Strong divisibility sequences and sieve methods. <i>Mathematika</i>.
    2024;70(4). doi:<a href="https://doi.org/10.1112/mtk.12269">10.1112/mtk.12269</a>
  apa: Browning, T. D., &#38; Verzobio, M. (2024). Strong divisibility sequences and
    sieve methods. <i>Mathematika</i>. London Mathematical Society. <a href="https://doi.org/10.1112/mtk.12269">https://doi.org/10.1112/mtk.12269</a>
  chicago: Browning, Timothy D, and Matteo Verzobio. “Strong Divisibility Sequences
    and Sieve Methods.” <i>Mathematika</i>. London Mathematical Society, 2024. <a
    href="https://doi.org/10.1112/mtk.12269">https://doi.org/10.1112/mtk.12269</a>.
  ieee: T. D. Browning and M. Verzobio, “Strong divisibility sequences and sieve methods,”
    <i>Mathematika</i>, vol. 70, no. 4. London Mathematical Society, 2024.
  ista: Browning TD, Verzobio M. 2024. Strong divisibility sequences and sieve methods.
    Mathematika. 70(4), e12269.
  mla: Browning, Timothy D., and Matteo Verzobio. “Strong Divisibility Sequences and
    Sieve Methods.” <i>Mathematika</i>, vol. 70, no. 4, e12269, London Mathematical
    Society, 2024, doi:<a href="https://doi.org/10.1112/mtk.12269">10.1112/mtk.12269</a>.
  short: T.D. Browning, M. Verzobio, Mathematika 70 (2024).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-07-28T22:01:08Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-07-29T10:01:24Z
day: '01'
ddc:
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department:
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doi: 10.1112/mtk.12269
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intvolume: '        70'
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month: '10'
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  name: Rational curves via function field analytic number theory
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
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publication: Mathematika
publication_identifier:
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  issn:
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publication_status: published
publisher: London Mathematical Society
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supplementarymaterial: no
title: Strong divisibility sequences and sieve methods
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volume: 70
year: '2024'
...
