@article{12920,
  abstract     = {The multicomponent approach allows to incorporate several functionalities into a single covalent organic framework (COF) and consequently allows the construction of bifunctional materials for cooperative catalysis. The well-defined structure of such multicomponent COFs is furthermore ideally suited for structure-activity relationship studies. We report a series of multicomponent COFs that contain acridine- and 2,2’-bipyridine linkers connected through 1,3,5-benzenetrialdehyde derivatives. The acridine motif is responsible for broad light absorption, while the bipyridine unit enables complexation of nickel catalysts. These features enable the usage of the framework materials as catalysts for light-mediated carbon−heteroatom cross-couplings. Variation of the node units shows that the catalytic activity correlates to the keto-enamine tautomer isomerism. This allows switching between high charge-carrier mobility and persistent, localized charge-separated species depending on the nodes, a tool to tailor the materials for specific reactions. Moreover, nickel-loaded COFs are recyclable and catalyze cross-couplings even using red light irradiation.},
  author       = {Traxler, Michael and Reischauer, Susanne and Vogl, Sarah and Roeser, Jérôme and Rabeah, Jabor and Penschke, Christopher and Saalfrank, Peter and Pieber, Bartholomäus and Thomas, Arne},
  issn         = {1521-3765},
  journal      = {Chemistry – A European Journal},
  keywords     = {General Chemistry, Catalysis, Organic Chemistry},
  number       = {4},
  publisher    = {Wiley},
  title        = {{Programmable photocatalytic activity of multicomponent covalent organic frameworks used as metallaphotocatalysts}},
  doi          = {10.1002/chem.202202967},
  volume       = {29},
  year         = {2023},
}

@article{12921,
  abstract     = {Visible-light photocatalysis provides numerous useful methodologies for synthetic organic chemistry. However, the mechanisms of these reactions are often not fully understood. Common mechanistic experiments mainly aim to characterize excited state properties of photocatalysts and their interaction with other species. Recently, in situ reaction monitoring using dedicated techniques was shown to be well-suited for the identification of intermediates and to obtain kinetic insights, thereby providing more holistic pictures of the reactions of interest. This minireview surveys these technologies and discusses selected examples where reaction monitoring was used to elucidate the mechanism of photocatalytic reactions.},
  author       = {Madani, Amiera and Pieber, Bartholomäus},
  issn         = {1867-3899},
  journal      = {ChemCatChem},
  keywords     = {Inorganic Chemistry, Organic Chemistry, Physical and Theoretical Chemistry, Catalysis},
  number       = {7},
  publisher    = {Wiley},
  title        = {{In situ reaction monitoring in photocatalytic organic synthesis}},
  doi          = {10.1002/cctc.202201583},
  volume       = {15},
  year         = {2023},
}

@article{12922,
  abstract     = {The influence of structural modifications on the catalytic activity of carbon materials is poorly understood. A collection of carbonaceous materials with different pore networks and high nitrogen content was characterized and used to catalyze four reactions to deduce structure–activity relationships. The CO2 cycloaddition and Knoevenagel reaction depend on Lewis basic sites (electron-rich nitrogen species). The absence of large conjugated carbon domains resulting from the introduction of large amounts of nitrogen in the carbon network is responsible for poor redox activity, as observed through the catalytic reduction of nitrobenzene with hydrazine and the catalytic oxidation of 3,3′,5,5′-tetramethylbenzidine using hydroperoxide. The material with the highest activity towards Lewis acid catalysis (in the hydrolysis of (dimethoxymethyl)benzene to benzaldehyde) is the most effective for small molecule activation and presents the highest concentration of electron-poor nitrogen species.},
  author       = {Lepre, Enrico and Rat, Sylvain and Cavedon, Cristian and Seeberger, Peter H. and Pieber, Bartholomäus and Antonietti, Markus and López‐Salas, Nieves},
  issn         = {1521-3773},
  journal      = {Angewandte Chemie International Edition},
  keywords     = {General Chemistry, Catalysis},
  number       = {2},
  publisher    = {Wiley},
  title        = {{Catalytic properties of high nitrogen content carbonaceous materials}},
  doi          = {10.1002/anie.202211663},
  volume       = {62},
  year         = {2023},
}

@misc{12945,
  abstract     = {basic data for use in code for experimental data analysis for manuscript under revision: 
Dynamic pathogen detection and social feedback shape collective hygiene in ants
Casillas-Pérez B, Boďová K, Grasse AV, Tkačik G, Cremer S},
  author       = {Cremer, Sylvia},
  keywords     = {collective behavior, host-pathogen interactions, social immunity, epidemiology, social insects, probabilistic modeling},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Data from: "Dynamic pathogen detection and social feedback shape collective hygiene in ants" }},
  doi          = {10.15479/AT:ISTA:12945},
  year         = {2023},
}

@misc{12949,
  abstract     = {The classical infinitesimal model is a simple and robust model for the inheritance of quantitative traits. In this model, a quantitative trait is expressed as the sum of a genetic and a non-genetic (environmental) component and the genetic component of offspring traits within a family follows a normal distribution around the average of the parents’ trait values, and has a variance that is independent of the trait values of the parents. Although the trait distribution across the whole population can be far from normal, the trait distributions within families are normally distributed with a variance-covariance matrix that is determined entirely by that in  the ancestral population and the probabilities of identity determined by the pedigree. Moreover, conditioning on some of the trait values within the pedigree has predictable effects on the mean and variance within and between families. In previous work, Barton et al. (2017), we showed that when trait values are determined by the sum of a large number of Mendelian factors, each  of small effect, one can justify the infinitesimal model as limit of Mendelian inheritance. It was also shown that under some forms of epistasis, trait values within a family are still normally distributed.},
  author       = {Barton, Nicholas H},
  keywords     = {Quantitative genetics, infinitesimal model},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{The infinitesimal model with dominance}},
  doi          = {10.15479/AT:ISTA:12949},
  year         = {2023},
}

@article{12959,
  abstract     = {This paper deals with the large-scale behaviour of dynamical optimal transport on Zd
-periodic graphs with general lower semicontinuous and convex energy densities. Our main contribution is a homogenisation result that describes the effective behaviour of the discrete problems in terms of a continuous optimal transport problem. The effective energy density can be explicitly expressed in terms of a cell formula, which is a finite-dimensional convex programming problem that depends non-trivially on the local geometry of the discrete graph and the discrete energy density. Our homogenisation result is derived from a Γ
-convergence result for action functionals on curves of measures, which we prove under very mild growth conditions on the energy density. We investigate the cell formula in several cases of interest, including finite-volume discretisations of the Wasserstein distance, where non-trivial limiting behaviour occurs.},
  author       = {Gladbach, Peter and Kopfer, Eva and Maas, Jan and Portinale, Lorenzo},
  issn         = {1432-0835},
  journal      = {Calculus of Variations and Partial Differential Equations},
  number       = {5},
  publisher    = {Springer Nature},
  title        = {{Homogenisation of dynamical optimal transport on periodic graphs}},
  doi          = {10.1007/s00526-023-02472-z},
  volume       = {62},
  year         = {2023},
}

@article{12960,
  abstract     = {Isomanifolds are the generalization of isosurfaces to arbitrary dimension and codimension, i.e., submanifolds of Rd defined as the zero set of some multivariate multivalued smooth function f:Rd→Rd−n, where n is the intrinsic dimension of the manifold. A natural way to approximate a smooth isomanifold M=f−1(0) is to consider its piecewise linear (PL) approximation M^
 based on a triangulation T of the ambient space Rd. In this paper, we describe a simple algorithm to trace isomanifolds from a given starting point. The algorithm works for arbitrary dimensions n and d, and any precision D. Our main result is that, when f (or M) has bounded complexity, the complexity of the algorithm is polynomial in d and δ=1/D (and unavoidably exponential in n). Since it is known that for δ=Ω(d2.5), M^ is O(D2)-close and isotopic to M
, our algorithm produces a faithful PL-approximation of isomanifolds of bounded complexity in time polynomial in d. Combining this algorithm with dimensionality reduction techniques, the dependency on d in the size of M^ can be completely removed with high probability. We also show that the algorithm can handle isomanifolds with boundary and, more generally, isostratifolds. The algorithm for isomanifolds with boundary has been implemented and experimental results are reported, showing that it is practical and can handle cases that are far ahead of the state-of-the-art. },
  author       = {Boissonnat, Jean Daniel and Kachanovich, Siargey and Wintraecken, Mathijs},
  issn         = {1095-7111},
  journal      = {SIAM Journal on Computing},
  number       = {2},
  pages        = {452--486},
  publisher    = {Society for Industrial and Applied Mathematics},
  title        = {{Tracing isomanifolds in Rd in time polynomial in d using Coxeter–Freudenthal–Kuhn triangulations}},
  doi          = {10.1137/21M1412918},
  volume       = {52},
  year         = {2023},
}

@article{12961,
  abstract     = {Two notes separated by a doubling in frequency sound similar to humans. This “octave equivalence” is critical to perception and production of music and speech and occurs early in human development. Because it also occurs cross-culturally, a biological basis of octave equivalence has been hypothesized. Members of our team previousy suggested four human traits are at the root of this phenomenon: (1) vocal learning, (2) clear octave information in vocal harmonics, (3) differing vocal ranges, and (4) vocalizing together. Using cross-species studies, we can test how relevant these respective traits are, while controlling for enculturation effects and addressing questions of phylogeny. Common marmosets possess forms of three of the four traits, lacking differing vocal ranges. We tested 11 common marmosets by adapting an established head-turning paradigm, creating a parallel test to an important infant study. Unlike human infants, marmosets responded similarly to tones shifted by an octave or other intervals. Because previous studies with the same head-turning paradigm produced differential results to discernable acoustic stimuli in common marmosets, our results suggest that marmosets do not perceive octave equivalence. Our work suggests differing vocal ranges between adults and children and men and women and the way they are used in singing together may be critical to the development of octave equivalence.},
  author       = {Wagner, Bernhard and Šlipogor, Vedrana and Oh, Jinook and Varga, Marion and Hoeschele, Marisa},
  issn         = {1467-7687},
  journal      = {Developmental Science},
  number       = {5},
  publisher    = {Wiley},
  title        = {{A comparison between common marmosets (Callithrix jacchus) and human infants sheds light on traits proposed to be at the root of human octave equivalence}},
  doi          = {10.1111/desc.13395},
  volume       = {26},
  year         = {2023},
}

@article{12972,
  abstract     = {Embroidery is a long-standing and high-quality approach to making logos and images on textiles. Nowadays, it can also be performed via automated machines that weave threads with high spatial accuracy. A characteristic feature of the appearance of the threads is a high degree of anisotropy. The anisotropic behavior is caused by depositing thin but long strings of thread. As a result, the stitched patterns convey both color and direction. Artists leverage this anisotropic behavior to enhance pure color images with textures, illusions of motion, or depth cues. However, designing colorful embroidery patterns with prescribed directionality is a challenging task, one usually requiring an expert designer. In this work, we propose an interactive algorithm that generates machine-fabricable embroidery patterns from multi-chromatic images equipped with user-specified directionality fields.We cast the problem of finding a stitching pattern into vector theory. To find a suitable stitching pattern, we extract sources and sinks from the divergence field of the vector field extracted from the input and use them to trace streamlines. We further optimize the streamlines to guarantee a smooth and connected stitching pattern. The generated patterns approximate the color distribution constrained by the directionality field. To allow for further artistic control, the trade-off between color match and directionality match can be interactively explored via an intuitive slider. We showcase our approach by fabricating several embroidery paths.},
  author       = {Liu, Zhenyuan and Piovarci, Michael and Hafner, Christian and Charrondiere, Raphael and Bickel, Bernd},
  issn         = {1467-8659},
  journal      = {Computer Graphics Forum},
  keywords     = {embroidery, design, directionality, density, image},
  location     = {Saarbrucken, Germany},
  number       = {2},
  pages        = {397--409},
  publisher    = {Wiley},
  title        = {{Directionality-aware design of embroidery patterns}},
  doi          = {10.1111/cgf.14770 },
  volume       = {42},
  year         = {2023},
}

@inproceedings{12976,
  abstract     = {3D printing based on continuous deposition of materials, such as filament-based 3D printing, has seen widespread adoption thanks to its versatility in working with a wide range of materials. An important shortcoming of this type of technology is its limited multi-material capabilities. While there are simple hardware designs that enable multi-material printing in principle, the required software is heavily underdeveloped. A typical hardware design fuses together individual materials fed into a single chamber from multiple inlets before they are deposited. This design, however, introduces a time delay between the intended material mixture and its actual deposition. In this work, inspired by diverse path planning research in robotics, we show that this mechanical challenge can be addressed via improved printer control. We propose to formulate the search for optimal multi-material printing policies in a reinforcement
learning setup. We put forward a simple numerical deposition model that takes into account the non-linear material mixing and delayed material deposition. To validate our system we focus on color fabrication, a problem known for its strict requirements for varying material mixtures at a high spatial frequency. We demonstrate that our learned control policy outperforms state-of-the-art hand-crafted algorithms.},
  author       = {Liao, Kang and Tricard, Thibault and Piovarci, Michael and Seidel, Hans-Peter and Babaei, Vahid},
  booktitle    = {2023 IEEE International Conference on Robotics and Automation},
  issn         = {1050-4729},
  keywords     = {reinforcement learning, deposition, control, color, multi-filament},
  location     = {London, United Kingdom},
  pages        = {12345--12352},
  publisher    = {IEEE},
  title        = {{Learning deposition policies for fused multi-material 3D printing}},
  doi          = {10.1109/ICRA48891.2023.10160465},
  volume       = {2023},
  year         = {2023},
}

@inproceedings{12979,
  abstract     = {Color and gloss are fundamental aspects of surface appearance. State-of-the-art fabrication techniques can manipulate both properties of the printed 3D objects. However, in the context of appearance reproduction, perceptual aspects of color and gloss are usually handled separately, even though previous perceptual studies suggest their interaction. Our work is motivated by previous studies demonstrating a perceived color shift due to a change in the object's gloss, i.e., two samples with the same color but different surface gloss appear as they have different colors. In this paper, we conduct new experiments which support this observation and provide insights into the magnitude and direction of the perceived color change. We use the observations as guidance to design a new method that estimates and corrects the color shift enabling the fabrication of objects with the same perceived color but different surface gloss. We formulate the problem as an optimization procedure solved using differentiable rendering. We evaluate the effectiveness of our method in perceptual experiments with 3D objects fabricated using a multi-material 3D printer and demonstrate potential applications. },
  author       = {Condor, Jorge and Piovarci, Michael and Bickel, Bernd and Didyk, Piotr},
  booktitle    = {SIGGRAPH ’23 Conference Proceedings},
  isbn         = {9798400701597},
  keywords     = {color, gloss, perception, color compensation, color management},
  location     = {Los Angeles, CA, United States},
  publisher    = {Association for Computing Machinery},
  title        = {{Gloss-aware color correction for 3D printing}},
  doi          = {10.1145/3588432.3591546},
  year         = {2023},
}

@article{12984,
  abstract     = {Tattoos are a highly popular medium, with both artistic and medical applications. Although the mechanical process of tattoo application has evolved historically, the results are reliant on the artisanal skill of the artist. This can be especially challenging for some skin tones, or in cases where artists lack experience. We provide the first systematic overview of tattooing as a computational fabrication technique. We built an automated tattooing rig and a recipe for the creation of silicone sheets mimicking realistic skin tones, which allowed us to create an accurate model predicting tattoo appearance. This enables several exciting applications including tattoo previewing, color retargeting, novel ink spectra optimization, color-accurate prosthetics, and more.},
  author       = {Piovarci, Michael and Chapiro, Alexandre and Bickel, Bernd},
  issn         = {1557-7368},
  journal      = {ACM Transactions on Graphics},
  keywords     = {appearance, modeling, reproduction, tattoo, skin color, gamut mapping, ink-optimization, prosthetic},
  location     = {Los Angeles, CA, United States},
  number       = {4},
  publisher    = {Association for Computing Machinery},
  title        = {{Skin-Screen: A computational fabrication framework for color tattoos}},
  doi          = {10.1145/3592432},
  volume       = {42},
  year         = {2023},
}

@article{13033,
  abstract     = {Current methods for assessing cell proliferation in 3D scaffolds rely on changes in metabolic activity or total DNA, however, direct quantification of cell number in 3D scaffolds remains a challenge. To address this issue, we developed an unbiased stereology approach that uses systematic-random sampling and thin focal-plane optical sectioning of the scaffolds followed by estimation of total cell number (StereoCount). This approach was validated against an indirect method for measuring the total DNA (DNA content); and the Bürker counting chamber, the current reference method for quantifying cell number. We assessed the total cell number for cell seeding density (cells per unit volume) across four values and compared the methods in terms of accuracy, ease-of-use and time demands. The accuracy of StereoCount markedly outperformed the DNA content for cases with ~ 10,000 and ~ 125,000 cells/scaffold. For cases with ~ 250,000 and ~ 375,000 cells/scaffold both StereoCount and DNA content showed lower accuracy than the Bürker but did not differ from each other. In terms of ease-of-use, there was a strong advantage for the StereoCount due to output in terms of absolute cell numbers along with the possibility for an overview of cell distribution and future use of automation for high throughput analysis. Taking together, the StereoCount method is an efficient approach for direct cell quantification in 3D collagen scaffolds. Its major benefit is that automated StereoCount could accelerate research using 3D scaffolds focused on drug discovery for a wide variety of human diseases.},
  author       = {Zavadakova, Anna and Vistejnova, Lucie and Belinova, Tereza and Tichanek, Filip and Bilikova, Dagmar and Mouton, Peter R.},
  issn         = {2045-2322},
  journal      = {Scientific Reports},
  keywords     = {Multidisciplinary},
  number       = {1},
  publisher    = {Springer Nature},
  title        = {{Novel stereological method for estimation of cell counts in 3D collagen scaffolds}},
  doi          = {10.1038/s41598-023-35162-z},
  volume       = {13},
  year         = {2023},
}

@article{13039,
  abstract     = {We calculate reflectivities of dynamically compressed water, water-ethanol mixtures, and ammonia at infrared and optical wavelengths with density functional theory and molecular dynamics simulations. The influence of the exchange-correlation functional on the results is examined in detail. Our findings indicate that the consistent use of the HSE hybrid functional reproduces experimental results much better than the commonly used PBE functional. The HSE functional offers not only a more accurate description of the electronic band gap but also shifts the onset of molecular dissociation in the molecular dynamics simulations to significantly higher pressures. We also highlight the importance of using accurate reference standards in reflectivity experiments and reanalyze infrared and optical reflectivity data from recent experiments. Thus, our combined theoretical and experimental work explains and resolves lingering discrepancies between calculations and measurements for the investigated molecular substances under shock compression.},
  author       = {French, Martin and Bethkenhagen, Mandy and Ravasio, Alessandra and Hernandez, Jean Alexis},
  issn         = {2469-9969},
  journal      = {Physical Review B},
  number       = {13},
  publisher    = {American Physical Society},
  title        = {{Ab initio calculation of the reflectivity of molecular fluids under shock compression}},
  doi          = {10.1103/PhysRevB.107.134109},
  volume       = {107},
  year         = {2023},
}

@article{13041,
  abstract     = {A series of triarylamines was synthesised and screened for their suitability as catholytes in redox flow batteries using cyclic voltammetry (CV). Tris(4-aminophenyl)amine was found to be the strongest candidate. Solubility and initial electrochemical performance were promising; however, polymerisation was observed during electrochemical cycling leading to rapid capacity fade prescribed to a loss of accessible active material and the limitation of ion transport processes within the cell. A mixed electrolyte system of H3PO4 and HCl was found to inhibit polymerisation producing oligomers that consumed less active material reducing rates of degradation in the redox flow battery. Under these conditions Coulombic efficiency improved by over 4 %, the maximum number of cycles more than quadrupled and an additional theoretical capacity of 20 % was accessed. This paper is, to our knowledge, the first example of triarylamines as catholytes in all-aqueous redox flow batteries and emphasises the impact supporting electrolytes can have on electrochemical performance.},
  author       = {Farag, Nadia L. and Jethwa, Rajesh B and Beardmore, Alice E. and Insinna, Teresa and O'Keefe, Christopher A. and Klusener, Peter A.A. and Grey, Clare P. and Wright, Dominic S.},
  issn         = {1864-564X},
  journal      = {ChemSusChem},
  number       = {13},
  publisher    = {Wiley},
  title        = {{Triarylamines as catholytes in aqueous organic redox flow batteries}},
  doi          = {10.1002/cssc.202300128},
  volume       = {16},
  year         = {2023},
}

@article{13042,
  abstract     = {Let Lc,n denote the size of the longest cycle in G(n, c/n),c >1 constant.  We show that there exists a continuous function f(c) such that Lc,n/n→f(c) a.s.  for c>20,  thus  extending  a  result  of  Frieze  and  the  author  to  smaller  values  of c. Thereafter,  for c>20,  we  determine  the  limit  of  the  probability  that G(n, c/n)contains  cycles  of  every  length  between  the  length  of  its  shortest  and  its  longest cycles as n→∞.},
  author       = {Anastos, Michael},
  issn         = {1077-8926},
  journal      = {Electronic Journal of Combinatorics},
  number       = {2},
  publisher    = {Electronic Journal of Combinatorics},
  title        = {{A note on long cycles in sparse random graphs}},
  doi          = {10.37236/11471},
  volume       = {30},
  year         = {2023},
}

@article{13043,
  abstract     = {We derive a weak-strong uniqueness principle for BV solutions to multiphase mean curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit construction
of a gradient flow calibration in the sense of the recent work of Fischer et al. (2020) for any such
cluster. This extends the two-dimensional construction to the three-dimensional case of surfaces
meeting along triple junctions.},
  author       = {Hensel, Sebastian and Laux, Tim},
  issn         = {1463-9971},
  journal      = {Interfaces and Free Boundaries},
  number       = {1},
  pages        = {37--107},
  publisher    = {EMS Press},
  title        = {{Weak-strong uniqueness for the mean curvature flow of double bubbles}},
  doi          = {10.4171/IFB/484},
  volume       = {25},
  year         = {2023},
}

@inproceedings{13048,
  abstract     = {In this paper we introduce a pruning of the medial axis called the (λ,α)-medial axis (axλα). We prove that the (λ,α)-medial axis of a set K is stable in a Gromov-Hausdorff sense under weak assumptions. More formally we prove that if K and K′ are close in the Hausdorff (dH) sense then the (λ,α)-medial axes of K and K′ are close as metric spaces, that is the Gromov-Hausdorff distance (dGH) between the two is 1/4-Hölder in the sense that dGH (axλα(K),axλα(K′)) ≲ dH(K,K′)1/4. The Hausdorff distance between the two medial axes is also bounded, by dH (axλα(K),λα(K′)) ≲ dH(K,K′)1/2. These quantified stability results provide guarantees for practical computations of medial axes from approximations. Moreover, they provide key ingredients for studying the computability of the medial axis in the context of computable analysis.},
  author       = {Lieutier, André and Wintraecken, Mathijs},
  booktitle    = {Proceedings of the 55th Annual ACM Symposium on Theory of Computing},
  isbn         = {9781450399135},
  location     = {Orlando, FL, United States},
  pages        = {1768--1776},
  publisher    = {Association for Computing Machinery},
  title        = {{Hausdorff and Gromov-Hausdorff stable subsets of the medial axis}},
  doi          = {10.1145/3564246.3585113},
  year         = {2023},
}

@inbook{13052,
  abstract     = {Imaging of the immunological synapse (IS) between dendritic cells (DCs) and T cells in suspension is hampered by suboptimal alignment of cell-cell contacts along the vertical imaging plane. This requires optical sectioning that often results in unsatisfactory resolution in time and space. Here, we present a workflow where DCs and T cells are confined between a layer of glass and polydimethylsiloxane (PDMS) that orients the cells along one, horizontal imaging plane, allowing for fast en-face-imaging of the DC-T cell IS.},
  author       = {Leithner, Alexander F and Merrin, Jack and Sixt, Michael K},
  booktitle    = {The Immune Synapse},
  editor       = {Baldari, Cosima and Dustin, Michael},
  isbn         = {9781071631348},
  issn         = {1940-6029},
  pages        = {137--147},
  publisher    = {Springer Nature},
  title        = {{En-Face Imaging of T Cell-Dendritic Cell Immunological Synapses}},
  doi          = {10.1007/978-1-0716-3135-5_9},
  volume       = {2654},
  year         = {2023},
}

@article{13091,
  abstract     = {We use a function field version of the Hardy–Littlewood circle method to study the locus of free rational curves on an arbitrary smooth projective hypersurface of sufficiently low degree. On the one hand this allows us to bound the dimension of the singular locus of the moduli space of rational curves on such hypersurfaces and, on the other hand, it sheds light on Peyre’s reformulation of the Batyrev–Manin conjecture in terms of slopes with respect to the tangent bundle.},
  author       = {Browning, Timothy D and Sawin, Will},
  issn         = {1944-7833},
  journal      = {Algebra and Number Theory},
  number       = {3},
  pages        = {719--748},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{Free rational curves on low degree hypersurfaces and the circle method}},
  doi          = {10.2140/ant.2023.17.719},
  volume       = {17},
  year         = {2023},
}

