Hausel Group Geometry and its Interfaces

Publications

  1. 51. Hausel, T. Center of Kostant algebra — (to appear in “Géométrie Algébrique et Programme de Langlands — un volume en l’honneur de Gérard Laumon”) arXiv:2509.20159
  2. 50. Hausel, T. Commutative avatars of representations of semisimple Lie groups — Proc Natl Acad Sci USA 121 (38), 2024 arXiv:2311.02711 DOI
  3. 49. Gonzalez M., Hausel, T. Hitchin map on even very stable upward flows — Internat. J. Math., 35(9):Paper No. 12591, 2024 arXiv:2303.01404
  4. 48. Hausel, T., Rychlewicz, K. Spectrum of equivariant cohomology as fixed point scheme — Epijournal de Géom. Algébr., EPIGA, 9:57, 2025. Id/No 1 arXiv:2212.11836
  5. 47. Hausel, T., Mellit, A. , Minets, A. , Schiffmann O. P=W via H_2 arXiv:2209.05429
  6. 46. Hausel, T. Enhanced mirror symmetry for Langlands dual Hitchin systems — Proc. Int. Cong. Math. 2022, Vol. 3, pp. 2228–2249 DOI
  7. 45. Hausel, T., Hitchin, N. Very stable Higgs bundles, equivariant multiplicity and mirror symmetry — Inventiones 228, pages 893–989 (2022) arXiv:2101.08583 DOI
  8. 44. Hausel, T., Chiorello, S. M., Szenes, A. Enumerative approach to P=W arXiv:2002.08929
  9. 43. Hausel, T., Letellier, E., R. Villegas, F. Locally free representations of quivers over commutative Frobenius algebras — Selecta Mathematica, Volume 30, article 20, (2024) arXiv:1810.01818 DOI
  10. 42. Hausel, T., Wong M., Wyss D. Arithmetic and metric aspects of open de Rham spaces — PLMS (3) 2023, 1-70 DOI
  11. 41. Hausel, T., Mellit, A., Pei, D. Mirror symmetry with branes by equivariant Verlinde formulae — in: Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218 arXiv:1712.04408
  12. 40. Hausel, T., Mereb M., Wong M. Arithmetic and representation theory of wild character varieties — Journal of the European Mathematical Society Volume 21, Issue 10, 2019, pp. 2995-3052 arXiv:1604.03382
  13. 39. Hausel, T., R. Villegas, F. Cohomology of large semiprojective hyperkaehler varieties — Astérisque No. 370 (2015), 113–156 arXiv:1309.4914
  14. 38. Hausel, T. Letellier, E., R. Villegas, F. Positivity for Kac polynomials and DT-invariants of quivers — Annals of Mathematics, 177 (2013) 1147-1168, Issue 3 arXiv:1204.2375
  15. 37. Hausel, T., Letellier, E., R. Villegas, F. Arithmetic harmonic analysis on character and quiver varieties II — Advances in Mathematics, Volume 234, 2013, 85-128 arXiv:1109.5202
  16. 36. Hausel, T. Global topology of the Hitchin system — in Handbook of Moduli II, editors: Gavril Farkas and Ian Morrison, International Press, 2013 arXiv:1102.1717
  17. 35. Hausel, T, Pauly, C Prym varieties of spectral covers — Geometry and Topology, 16 (2012) 1609–1638 arXiv:1012.4748
  18. 34. de Cataldo, M, Hausel, T.,Migliorini, L. Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces — Journal of Singularities , volume 7 (2013), 23-38 arXiv:1012.2583
  19. 33. de Cataldo, M, Hausel, T.,Migliorini, L Topology of Hitchin systems and Hodge theory of character varieties: the case A_1 — Annals of Mathematics, Volume 175 (2012), Issue 3 , 1329–1407 arXiv:1004.1420
  20. 32. Hausel, T. Letellier, E., R. Villegas, F. Topology of character varieties and representations of quivers — Comptes Rendus Mathematique, Volume 348, Issues 3-4, February 2010, Pages 131-135 arXiv:0905.3491 DOI
  21. 31. Hausel, T. Kac conjecture from Nakajima quiver varieties — Inventiones Mathematicae, Volume 181, Number 1, 2010, 21-37 arXiv:0811.1569
  22. 30. Hausel, T. Letellier, E., R. Villegas, F. Arithmetic harmonic analysis on character and quiver varieties — Duke Mathematical Journal, Volume 160, Number 2 (2011), 323-400 arXiv:0810.2076
  23. 29. Hausel, T. S-duality in hyperkähler Hodge theory — in The many facets of geometry – A tribute to Nigel Hitchin , OUP 2010 arXiv:0709.0504
  24. 28. Hausel, T., Rodriguez-Villegas, F. Mixed Hodge polynomials of character varieties — Inventiones Mathematicae, 174, no. 3, (2008), 555–624 arXiv:math.AG/0612668
  25. 27. Hausel, T. Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform — Proceedings of the National Academy of Sciences of the United States of America 103, no. 16, 6120–6124 arXiv:math.AG/0511163
  26. 26. Hausel, T. Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve — in Geometric Methods in Algebra and Number Theory Series: Progress in Mathematics, Vol. 235 Bogomolov, Fedor; Tschinkel, Yuri (Eds.) 2005 arXiv:math.AG/0406380
  27. 25. Hausel, T., Proudfoot, N. Abelianization for hyperkähler quotients — Topology, 44 (2005) 231-248 arXiv:math.SG/0310141
  28. 24. Hausel, T. Quaternionic Geometry of Matroids — Central European Journal of Mathematics, 3 (1), (2005), 26–38 arXiv:math.AG/0308146
  29. 23. Hausel, T.,Swartz, E. Intersection forms of toric hyperkähler varieties — Proceedings of the American Mathematical Society, 134, (2006), 2403-2409 arXiv:math.AG/0306369
  30. 22. Etesi, G., Hausel, T. On Yang-Mills-instantons on multi-centered metrics — Communications in Mathematical Physics, 235 No. 2 , (2003) 275-288 arXiv:hep-th/0207196
  31. 21. Hausel, T., Hunsicker, E., Mazzeo, R. Hodge cohomology of gravitational instantons — Duke Mathematical Journal, 122 Issue 3, (2004) 485-548 arXiv:math.DG/0207169
  32. 20. Etesi, G., Hausel, T. Geometric construction of new Yang-Mills instantons over Taub-NUT space — Physics Letters B , 514 (1-2) (2001), 189-199 arXiv:hep-th/0105118
  33. 19. Hausel, T., Sturmfels, B. Toric hyperkaehler varieties — Documenta Mathematica, 7 (2002), 495-534 arXiv:math.AG/0203096
  34. 18. Hausel, T., Thaddeus, M. Examples of mirror partners arising from integrable systems — Comptes Rendus des Séances de l’Académie des Sciences. Série I. Mathématique, 333 (4) (2001) 313-318 arXiv:math.AG/0106140
  35. 17. Hausel, T., Thaddeus, M. Mirror symmetry, Langlands duality and Hitchin systems — Inventiones Mathematicae, 153, No. 1, 2003, 197-229 arXiv:math.AG/0205236
  36. 16. Etesi, G., Hausel, T. Geometric interpretation of Schwarzschild instantons — Journal of Geometry and Physics , 37 (2001) 126-136 arXiv:hep-th/0003239
  37. 15. Hausel, T., Thaddeus, M. Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles — Proceedings of the London Mathematical Society 88 (2004) 632-658 arXiv:math.AG/0003093
  38. 14. Hausel, T., Thaddeus, M. Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles — Journal of the American Mathematical Society, 16 (2003), 303-329 arXiv:math.AG/0003094
  39. 13. Hausel, T. Geometric quantization and Jones-Witten theory — (in Hungarian) in Algebraic topology and geometry in Physics, (lecture notes of Summer school for Hungarian Physics students, Óbánya, 1997), MAFIHE, Budapest, 1999
  40. 12. Hausel, T. Geometry of the moduli space of Higgs bundles — thesis for Ph.D. in Pure Mathematics, DPMMS, Cambridge University, August 1998 arXiv:math.AG/0107040
  41. 11. Hausel, T. Vanishing of intersection numbers on the moduli space of Higgs bundles — Adv. Theor. and Math. Phys. , 2 (1998) 1011-1040 arXiv:math.AG/9805071
  42. 10. Hausel, T. Compactification of moduli of Higgs bundles — Journal für die reine und angewandte Mathematik , Volume 503 (1998) 169-192 arXiv:math.AG/9804083
  43. 9. Hausel, T., Makai, E. jr.,Szûcs, A. Inscribing cubes and covering by rhombic dodecahedrons via equivariant topology — Mathematika 47 (2000), 371-397 arXiv:math.MG/9906066
  44. 8. Hausel, T., Makai, E. jr.,Szûcs A. Polyhedra inscribed and circumscribed to convex bodies — General Mathematics , 1997, Proc. of 3rd Internat. Workshop on Diff. Geom. and its Appls. and the 1st German-Romanian Seminar on Geometry, 1997, Sibiu, Romania
  45. 7. Hausel, T. Moment map, toric varieties and mixed volumes — dissertation for diploma in Department of Mathematics, Eötvös Loránd University , December 1995
  46. 6. Hausel, T. On a Gallai-type problem for lattices — Acta Mathematica Hungarica (66) (1995), no.1-2, 127-145
  47. 5. Bezdek K.,Hausel, T. On the number of lattice hyperplanes which are needed to cover the lattice points of a convex body — Intuitive Geometry (Szeged,1991), 27-31, Colloq. Math. Soc. János Bolyai, 63, North-Holland, Amsterdam, 1994
  48. 4. Bezdek K.,Hausel, T. Coating by cubes — Beiträge zur Algebra und Geometrie 35 (1994), no.1, 119-123
  49. 3. Hausel, T. Transillumination of lattice packing of balls — Studia Sci. Math. Hungar 27 (1992), no.1-2, 241-242
  50. 2. Hausel, T. On a two dimensional problem in lattice geometry — (in Hungarian) KÖMAL (Journal of Mathematics and Physics for Secondary Schools) (1989), no. 3, 103-107
  51. 1. Hausel, T. Pedal triangle and convergent sequences — (in Hungarian) KÖMAL (Journal of Mathematics and Physics for Secondary Schools) (1988) no. 10, 433-437