Tamas Hausel

Hausel Group

40 Publications

Mark all

[40]
2025 | Published | Journal Article | IST-REx-ID: 19071 | OA
Spectrum of equivariant cohomology as a fixed point scheme
T. Hausel, K.P. Rychlewicz, Epijournal de Geometrie Algebrique 9 (2025).
[Published Version] View | Files available | DOI | arXiv
 
[39]
2024 | Published | Journal Article | IST-REx-ID: 18970 | OA
Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture
T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, J. Shen, Oberwolfach Reports 21 (2024) 949–1004.
[Published Version] View | DOI | Download Published Version (ext.)
 
[38]
2024 | Published | Journal Article | IST-REx-ID: 18108 | OA
Commutative avatars of representations of semisimple Lie groups
T. Hausel, Proceedings of the National Academy of Sciences of the United States of America 121 (2024).
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[37]
2024 | Published | Journal Article | IST-REx-ID: 14930
Locally free representations of quivers over commutative Frobenius algebras
T. Hausel, E. Letellier, F. Rodriguez-Villegas, Selecta Mathematica 30 (2024).
View | DOI
 
[36]
2024 | Published | Journal Article | IST-REx-ID: 15339 | OA
Hitchin map on even very stable upward flows
M. González, T. Hausel, International Journal of Mathematics 35 (2024).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2023 | Published | Journal Article | IST-REx-ID: 14244 | OA
Arithmetic and metric aspects of open de Rham spaces
T. Hausel, M.L. Wong, D. Wyss, Proceedings of the London Mathematical Society 127 (2023) 958–1027.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[34]
2022 | Published | Journal Article | IST-REx-ID: 10704 | OA
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
T. Hausel, N. Hitchin, Inventiones Mathematicae 228 (2022) 893–989.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[33]
2022 | Draft | Preprint | IST-REx-ID: 17157 | OA
Spectrum of equivariant cohomology as a fixed point scheme
T. Hausel, K.P. Rychlewicz, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[32]
2020 | Published | Journal Article | IST-REx-ID: 15070
Geometry and physics of Higgs bundles
L. Anderson, T. Hausel, R. Mazzeo, L. Schaposnik, Oberwolfach Reports 16 (2020) 1357–1417.
View | DOI
 
[31]
2019 | Published | Journal Article | IST-REx-ID: 439 | OA
Arithmetic and representation theory of wild character varieties
T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society 21 (2019) 2995–3052.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2018 | Published | Book Chapter | IST-REx-ID: 6525
Mirror symmetry with branes by equivariant verlinde formulas
T. Hausel, A. Mellit, D. Pei, in:, Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218.
View | DOI
 
[29]
2015 | Published | Book Review | IST-REx-ID: 1473 | OA
Cohomology of large semiprojective hyperkähler varieties
T. Hausel, F. Rodríguez Villegas, Asterisque 2015 (2015) 113–156.
View | Download (ext.)
 
[28]
2013 | Published | Journal Article | IST-REx-ID: 1442 | OA
Positivity for Kac polynomials and DT-invariants of quivers
T. Hausel, E. Letellier, F. Rodríguez Villegas, Annals of Mathematics 177 (2013) 1147–1168.
View | DOI | Download (ext.)
 
[27]
2013 | Published | Book Chapter | IST-REx-ID: 1443 | OA
Global topology of the Hitchin system
T. Hausel, in:, Handbook of Moduli: Volume II, International Press, 2013, pp. 29–70.
View | Download (ext.)
 
[26]
2013 | Published | Journal Article | IST-REx-ID: 1469
Arithmetic harmonic analysis on character and quiver varieties II
T. Hausel, E. Letellier, F. Rodríguez Villegas, Advances in Mathematics 234 (2013) 85–128.
View | DOI
 
[25]
2013 | Published | Journal Article | IST-REx-ID: 1470 | OA
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
M. De Cataldo, T. Hausel, L. Migliorini, Journal of Singularities 7 (2013) 23–38.
View | DOI | Download (ext.)
 
[24]
2012 | Published | Journal Article | IST-REx-ID: 1471 | OA
Prym varieties of spectral covers
T. Hausel, C. Pauly, Geometry and Topology 16 (2012) 1609–1638.
View | DOI | Download (ext.)
 
[23]
2012 | Published | Journal Article | IST-REx-ID: 1472 | OA
Topology of hitchin systems and Hodge theory of character varieties: The case A 1
M. De Cataldo, T. Hausel, L. Migliorini, Annals of Mathematics 175 (2012) 1329–1407.
View | DOI | Download (ext.)
 
[22]
2011 | Published | Journal Article | IST-REx-ID: 1467 | OA
Arithmetic harmonic analysis on character and quiver varieties
T. Hausel, E. Letellier, F. Rodríguez Villegas, Duke Mathematical Journal 160 (2011) 323–400.
View | DOI | Download (ext.)
 
[21]
2010 | Published | Journal Article | IST-REx-ID: 1465 | OA
Kac's conjecture from Nakajima quiver varieties
T. Hausel, Inventiones Mathematicae 181 (2010) 21–37.
View | DOI | Download (ext.)
 
[20]
2010 | Published | Journal Article | IST-REx-ID: 1466 | OA
Topology of character varieties and representations of quivers
T. Hausel, E. Letellier, F. Rodríguez Villegas, Comptes Rendus Mathematique 348 (2010) 131–135.
View | DOI | Download (ext.)
 
[19]
2010 | Published | Book Chapter | IST-REx-ID: 1468 | OA
S-Duality in HyperkäHler Hodge Theory
T. Hausel, in:, The Many Facets of Geometry: A Tribute to Nigel Hitchin, Oxford University Press, 2010.
View | DOI | Download (ext.)
 
[18]
2008 | Published | Journal Article | IST-REx-ID: 1460 | OA
Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz
T. Hausel, F. Rodríguez Villegas, Inventiones Mathematicae 174 (2008) 555–624.
View | DOI | Download (ext.)
 
[17]
2006 | Published | Journal Article | IST-REx-ID: 1461 | OA
Intersection forms of toric hyperkähler varieties
T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134 (2006) 2403–2409.
View | DOI | Download (ext.)
 
[16]
2006 | Published | Journal Article | IST-REx-ID: 1462 | OA
Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform
T. Hausel, PNAS 103 (2006) 6120–6124.
View | DOI | Download (ext.)
 
[15]
2005 | Published | Book Chapter | IST-REx-ID: 1444 | OA
Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve
T. Hausel, in:, Geometric Methods in Algebra and Number Theory, Springer, 2005, pp. 193–217.
View | DOI | Download (ext.)
 
[14]
2005 | Published | Journal Article | IST-REx-ID: 1447 | OA
Quaternionic geometry of matroids
T. Hausel, Open Mathematics 3 (2005) 26–38.
View | DOI | Download (ext.)
 
[13]
2005 | Published | Journal Article | IST-REx-ID: 1463 | OA
Abelianization for hyperkähler quotients
T. Hausel, N. Proudfoot, Topology 44 (2005) 231–248.
View | DOI | Download (ext.)
 
[12]
2004 | Published | Journal Article | IST-REx-ID: 1456 | OA
Hodge cohomology of gravitational instantons
T. Hausel, E. Hunsicker, R. Mazzeo, Duke Mathematical Journal 122 (2004) 485–548.
View | DOI | Download (ext.)
 
[11]
2004 | Published | Journal Article | IST-REx-ID: 1464 | OA
Generators for the cohomology ring of the moduli space of rank 2 higgs bundles
T. Hausel, M. Thaddeus, Proceedings of the London Mathematical Society 88 (2004) 632–658.
View | DOI | Download (ext.)
 
[10]
2003 | Published | Journal Article | IST-REx-ID: 1457 | OA
Mirror symmetry, langlands duality, and the Hitchin system
T. Hausel, M. Thaddeus, Inventiones Mathematicae 153 (2003) 197–229.
View | DOI | Download (ext.)
 
[9]
2003 | Published | Journal Article | IST-REx-ID: 1458 | OA
Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
T. Hausel, M. Thaddeus, Journal of the American Mathematical Society 16 (2003) 303–329.
View | DOI | Download (ext.)
 
[8]
2003 | Published | Journal Article | IST-REx-ID: 1459 | OA
On Yang-Mills instantons over multi-centered gravitational instantons
G. Etesi, T. Hausel, Communications in Mathematical Physics 235 (2003) 275–288.
View | DOI | Download (ext.)
 
[7]
2002 | Published | Journal Article | IST-REx-ID: 1451 | OA
Toric hyperkähler varieties
T. Hausel, B. Sturmfels, Documenta Mathematica 7 (2002) 495–534.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 1452 | OA
Examples of mirror partners arising from integrable systems
T. Hausel, M. Thaddeus, Comptes Rendus de l’Academie Des Sciences - Series I: Mathematics 333 (2001) 313–318.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 1453 | OA
Geometric construction of new Yang-Mills instantons over Taub-NUT space
G. Etesi, T. Hausel, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 514 (2001) 189–199.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2001 | Published | Journal Article | IST-REx-ID: 1454 | OA
Geometric interpretation of Schwarzschild instantons
G. Etesi, T. Hausel, Journal of Geometry and Physics 37 (2001) 126–136.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2000 | Published | Journal Article | IST-REx-ID: 1455 | OA
Inscribing cubes and covering by rhombic dodecahedra via equivariant topology
T. Hausel, E. Makai, A. Szücs, Mathematika 47 (2000) 371–397.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
1998 | Published | Journal Article | IST-REx-ID: 1449 | OA
Compactification of moduli of Higgs bundles
T. Hausel, Journal Fur Die Reine Und Angewandte Mathematik 1998 (1998) 169–192.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
1998 | Published | Journal Article | IST-REx-ID: 1450 | OA
Vanishing of intersection numbers on the moduli space of Higgs bundles
T. Hausel, Advances in Theoretical and Mathematical Physics 2 (1998) 1011–1040.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: Default

Export / Embed

3 Grants


Arithmetic and physics of Higgs moduli spaces (AriPhyHiMo)

2016-09-01 – 2018-08-31
European Research Council

Arithmetic quantization of character and quiver varities

2016-09-01 – 2017-07-31
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Geometry of the tip of the global nilpotent cone

2022-10-01 – 2025-09-30
Austrian Science Fund

40 Publications

Mark all

[40]
2025 | Published | Journal Article | IST-REx-ID: 19071 | OA
Spectrum of equivariant cohomology as a fixed point scheme
T. Hausel, K.P. Rychlewicz, Epijournal de Geometrie Algebrique 9 (2025).
[Published Version] View | Files available | DOI | arXiv
 
[39]
2024 | Published | Journal Article | IST-REx-ID: 18970 | OA
Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture
T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, J. Shen, Oberwolfach Reports 21 (2024) 949–1004.
[Published Version] View | DOI | Download Published Version (ext.)
 
[38]
2024 | Published | Journal Article | IST-REx-ID: 18108 | OA
Commutative avatars of representations of semisimple Lie groups
T. Hausel, Proceedings of the National Academy of Sciences of the United States of America 121 (2024).
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[37]
2024 | Published | Journal Article | IST-REx-ID: 14930
Locally free representations of quivers over commutative Frobenius algebras
T. Hausel, E. Letellier, F. Rodriguez-Villegas, Selecta Mathematica 30 (2024).
View | DOI
 
[36]
2024 | Published | Journal Article | IST-REx-ID: 15339 | OA
Hitchin map on even very stable upward flows
M. González, T. Hausel, International Journal of Mathematics 35 (2024).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2023 | Published | Journal Article | IST-REx-ID: 14244 | OA
Arithmetic and metric aspects of open de Rham spaces
T. Hausel, M.L. Wong, D. Wyss, Proceedings of the London Mathematical Society 127 (2023) 958–1027.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[34]
2022 | Published | Journal Article | IST-REx-ID: 10704 | OA
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
T. Hausel, N. Hitchin, Inventiones Mathematicae 228 (2022) 893–989.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[33]
2022 | Draft | Preprint | IST-REx-ID: 17157 | OA
Spectrum of equivariant cohomology as a fixed point scheme
T. Hausel, K.P. Rychlewicz, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[32]
2020 | Published | Journal Article | IST-REx-ID: 15070
Geometry and physics of Higgs bundles
L. Anderson, T. Hausel, R. Mazzeo, L. Schaposnik, Oberwolfach Reports 16 (2020) 1357–1417.
View | DOI
 
[31]
2019 | Published | Journal Article | IST-REx-ID: 439 | OA
Arithmetic and representation theory of wild character varieties
T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society 21 (2019) 2995–3052.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2018 | Published | Book Chapter | IST-REx-ID: 6525
Mirror symmetry with branes by equivariant verlinde formulas
T. Hausel, A. Mellit, D. Pei, in:, Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218.
View | DOI
 
[29]
2015 | Published | Book Review | IST-REx-ID: 1473 | OA
Cohomology of large semiprojective hyperkähler varieties
T. Hausel, F. Rodríguez Villegas, Asterisque 2015 (2015) 113–156.
View | Download (ext.)
 
[28]
2013 | Published | Journal Article | IST-REx-ID: 1442 | OA
Positivity for Kac polynomials and DT-invariants of quivers
T. Hausel, E. Letellier, F. Rodríguez Villegas, Annals of Mathematics 177 (2013) 1147–1168.
View | DOI | Download (ext.)
 
[27]
2013 | Published | Book Chapter | IST-REx-ID: 1443 | OA
Global topology of the Hitchin system
T. Hausel, in:, Handbook of Moduli: Volume II, International Press, 2013, pp. 29–70.
View | Download (ext.)
 
[26]
2013 | Published | Journal Article | IST-REx-ID: 1469
Arithmetic harmonic analysis on character and quiver varieties II
T. Hausel, E. Letellier, F. Rodríguez Villegas, Advances in Mathematics 234 (2013) 85–128.
View | DOI
 
[25]
2013 | Published | Journal Article | IST-REx-ID: 1470 | OA
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
M. De Cataldo, T. Hausel, L. Migliorini, Journal of Singularities 7 (2013) 23–38.
View | DOI | Download (ext.)
 
[24]
2012 | Published | Journal Article | IST-REx-ID: 1471 | OA
Prym varieties of spectral covers
T. Hausel, C. Pauly, Geometry and Topology 16 (2012) 1609–1638.
View | DOI | Download (ext.)
 
[23]
2012 | Published | Journal Article | IST-REx-ID: 1472 | OA
Topology of hitchin systems and Hodge theory of character varieties: The case A 1
M. De Cataldo, T. Hausel, L. Migliorini, Annals of Mathematics 175 (2012) 1329–1407.
View | DOI | Download (ext.)
 
[22]
2011 | Published | Journal Article | IST-REx-ID: 1467 | OA
Arithmetic harmonic analysis on character and quiver varieties
T. Hausel, E. Letellier, F. Rodríguez Villegas, Duke Mathematical Journal 160 (2011) 323–400.
View | DOI | Download (ext.)
 
[21]
2010 | Published | Journal Article | IST-REx-ID: 1465 | OA
Kac's conjecture from Nakajima quiver varieties
T. Hausel, Inventiones Mathematicae 181 (2010) 21–37.
View | DOI | Download (ext.)
 
[20]
2010 | Published | Journal Article | IST-REx-ID: 1466 | OA
Topology of character varieties and representations of quivers
T. Hausel, E. Letellier, F. Rodríguez Villegas, Comptes Rendus Mathematique 348 (2010) 131–135.
View | DOI | Download (ext.)
 
[19]
2010 | Published | Book Chapter | IST-REx-ID: 1468 | OA
S-Duality in HyperkäHler Hodge Theory
T. Hausel, in:, The Many Facets of Geometry: A Tribute to Nigel Hitchin, Oxford University Press, 2010.
View | DOI | Download (ext.)
 
[18]
2008 | Published | Journal Article | IST-REx-ID: 1460 | OA
Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz
T. Hausel, F. Rodríguez Villegas, Inventiones Mathematicae 174 (2008) 555–624.
View | DOI | Download (ext.)
 
[17]
2006 | Published | Journal Article | IST-REx-ID: 1461 | OA
Intersection forms of toric hyperkähler varieties
T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134 (2006) 2403–2409.
View | DOI | Download (ext.)
 
[16]
2006 | Published | Journal Article | IST-REx-ID: 1462 | OA
Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform
T. Hausel, PNAS 103 (2006) 6120–6124.
View | DOI | Download (ext.)
 
[15]
2005 | Published | Book Chapter | IST-REx-ID: 1444 | OA
Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve
T. Hausel, in:, Geometric Methods in Algebra and Number Theory, Springer, 2005, pp. 193–217.
View | DOI | Download (ext.)
 
[14]
2005 | Published | Journal Article | IST-REx-ID: 1447 | OA
Quaternionic geometry of matroids
T. Hausel, Open Mathematics 3 (2005) 26–38.
View | DOI | Download (ext.)
 
[13]
2005 | Published | Journal Article | IST-REx-ID: 1463 | OA
Abelianization for hyperkähler quotients
T. Hausel, N. Proudfoot, Topology 44 (2005) 231–248.
View | DOI | Download (ext.)
 
[12]
2004 | Published | Journal Article | IST-REx-ID: 1456 | OA
Hodge cohomology of gravitational instantons
T. Hausel, E. Hunsicker, R. Mazzeo, Duke Mathematical Journal 122 (2004) 485–548.
View | DOI | Download (ext.)
 
[11]
2004 | Published | Journal Article | IST-REx-ID: 1464 | OA
Generators for the cohomology ring of the moduli space of rank 2 higgs bundles
T. Hausel, M. Thaddeus, Proceedings of the London Mathematical Society 88 (2004) 632–658.
View | DOI | Download (ext.)
 
[10]
2003 | Published | Journal Article | IST-REx-ID: 1457 | OA
Mirror symmetry, langlands duality, and the Hitchin system
T. Hausel, M. Thaddeus, Inventiones Mathematicae 153 (2003) 197–229.
View | DOI | Download (ext.)
 
[9]
2003 | Published | Journal Article | IST-REx-ID: 1458 | OA
Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
T. Hausel, M. Thaddeus, Journal of the American Mathematical Society 16 (2003) 303–329.
View | DOI | Download (ext.)
 
[8]
2003 | Published | Journal Article | IST-REx-ID: 1459 | OA
On Yang-Mills instantons over multi-centered gravitational instantons
G. Etesi, T. Hausel, Communications in Mathematical Physics 235 (2003) 275–288.
View | DOI | Download (ext.)
 
[7]
2002 | Published | Journal Article | IST-REx-ID: 1451 | OA
Toric hyperkähler varieties
T. Hausel, B. Sturmfels, Documenta Mathematica 7 (2002) 495–534.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 1452 | OA
Examples of mirror partners arising from integrable systems
T. Hausel, M. Thaddeus, Comptes Rendus de l’Academie Des Sciences - Series I: Mathematics 333 (2001) 313–318.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 1453 | OA
Geometric construction of new Yang-Mills instantons over Taub-NUT space
G. Etesi, T. Hausel, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 514 (2001) 189–199.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2001 | Published | Journal Article | IST-REx-ID: 1454 | OA
Geometric interpretation of Schwarzschild instantons
G. Etesi, T. Hausel, Journal of Geometry and Physics 37 (2001) 126–136.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2000 | Published | Journal Article | IST-REx-ID: 1455 | OA
Inscribing cubes and covering by rhombic dodecahedra via equivariant topology
T. Hausel, E. Makai, A. Szücs, Mathematika 47 (2000) 371–397.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
1998 | Published | Journal Article | IST-REx-ID: 1449 | OA
Compactification of moduli of Higgs bundles
T. Hausel, Journal Fur Die Reine Und Angewandte Mathematik 1998 (1998) 169–192.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
1998 | Published | Journal Article | IST-REx-ID: 1450 | OA
Vanishing of intersection numbers on the moduli space of Higgs bundles
T. Hausel, Advances in Theoretical and Mathematical Physics 2 (1998) 1011–1040.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: Default

Export / Embed