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Dr Tamas Hausel
- Royal Society University Research Fellow
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Tutorial Fellow in Mathematics at Wadham College
Personal Web Page
eMail:
Tamas [dot] Hausel [-at-] maths [dot] ox [dot] ac [dot] uk Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: +44 1865 273590
Office:
SGF12
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Algebraic, Combinatorial and Differential Geometry and Topology. Detailed study of global analysis, geometry, topology and arithmetic of hyperkaehler manifolds of non-compact type, which appear in the study of Yang-Mills instantons, in non-Abelian Hodge theory, in the Geometric Langlands program, and in representation theory of quivers and Kac-Moody algebras. Applications of these studies have been found in enumerative combinatorics, commutative algebra, finite geometries, global analysis, mathematical physics, string theory, symmetric functions, number theory and representation theory of quivers, Kac-Moody algebras and finite groups and algebras of Lie type.
Prizes, Awards and Scholarships:
Simons Lectures, Stony Brook 2010, LMS Whitehead Prize 2008 , Royal Society University Research Fellowship 2005-2013, Sloan Research Fellowship 2005-2007, Miller Research Fellowship 1999-2002,
Recent Publications (from MathSciNet):
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MR2681702 (2011h:53054) Hausel, Tamás $S$S-duality in hyperkähler Hodge theory.
The many facets of geometry,
324–345, Oxford Univ. Press, Oxford, 2010. (Reviewer: Justin Sawon), 53C26 (14C30 14D21 32S35 53D20 58A14 58D27)
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MR2651380 (2011d:14033) Hausel, Tamás Kac's conjecture from Nakajima quiver varieties.
Invent. Math. 181 (2010), no. 1, 21–37. (Reviewer: Nicholas J. Proudfoot), 14F25 (14L24 16G20 17B67)
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MR2600063 Hausel, Tamás; Letellier, Emmanuel; Rodriguez Villegas, Fernando Topology of character varieties and representation of quivers.
C. R. Math. Acad. Sci. Paris 348 (2010), no. 3-4, 131–135, 14C30 (16G20)
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MR2453601 (2010b:14094) Hausel, Tamás; Rodriguez-Villegas, Fernando Mixed Hodge polynomials of character varieties.
With an appendix by Nicholas M. Katz.
Invent. Math. 174 (2008), no. 3, 555–624. (Reviewer: Sean Lawton), 14L30 (14D20 14F43)
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MR2213714 (2006m:53070) Hausel, Tamás; Swartz, Edward Intersection forms of toric hyperkähler varieties.
Proc. Amer. Math. Soc. 134 (2006), no. 8, 2403–2409 (electronic). (Reviewer: Justin Sawon), 53C26 (58A12 58A14)
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MR2221039 (2007m:53109) Hausel, Tamás Betti numbers of holomorphic symplectic quotients via arithmetic
Fourier transform.
Proc. Natl. Acad. Sci. USA 103 (2006), no. 16, 6120–6124 (electronic), 53D20 (14C05 16G20)
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MR2166085 (2006h:14055) Hausel, Tamás Mirror symmetry and Langlands duality in the non-abelian Hodge theory
of a curve.
Geometric methods in algebra and number theory,
193–217, Progr. Math., 235, Birkhäuser Boston, Boston, MA, 2005. (Reviewer: Nicholas J. Proudfoot), 14J32 (14C30 14D20 20C33)
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MR2110782 (2005m:53070) Hausel, Tamás Quaternionic geometry of matroids.
Cent. Eur. J. Math. 3 (2005), no. 1, 26–38 (electronic). (Reviewer: Margaret M. Bayer), 53C26 (14M25 52B40 52C26)
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MR2104010 (2005j:53052) Hausel, Tamás; Proudfoot, Nicholas Abelianization for hyperkähler quotients.
Topology 44 (2005), no. 1, 231–248. (Reviewer: Catalin Zara), 53C26 (53D20 55N25 57N65 57R19)
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MR2057017 (2005d:58039) Hausel, Tamás; Hunsicker, Eugenie; Mazzeo, Rafe Hodge cohomology of gravitational instantons.
Duke Math. J. 122 (2004), no. 3, 485–548. (Reviewer: Andrew W. Hassell), 58J10 (32S60 53C26 58A14 81T30)
More publications
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