main research talks cv papers seminars

Conferences, Talks and Visits

video/audio of talks online:
  • Symmetries of SL_n Hitchin fibres, BIRS, Banff, March 2012
  • Arithmetic and physics of Higgs moduli spaces, Kavli Institute for theoretical physics, Santa Barbara, July 2011
  • Arithmetic and physics of Higgs moduli spaces, Newton Institute, Cambridge, June 2011
  • Arithmetic and physics of Higgs moduli spaces, Simons Center Stony Brook, May 2011
  • Mirror symmetry, Langlands duality and the Hitchin system, Simons Lecture Series, Stony Brook, Oct 2010
  • Toric non-Abelian Hodge theory, Fields Institute, Toronto, Jan 2008
  • Mixed Hodge Polynomials of Character Varieties, (slides) Center for the topology and quantization of moduli spaces, Aarhus, June 2007
  • Intersection theory on the moduli space of Higgs bundles, MSRI, March 2002
  • Intersection theory on toric hyperkahler varieties, MSRI, March 2002
    Talks available in pdf:
  • Arithmetic and physics in discrete algebraic geometry, March 2012 Calgary
  • Symmetries of SL(n) Hitchin fibers, March 2012, Banff (Cardiff, Hamburg)
  • Symmetries of SL(n) Hitchin fibers, Deember 2011, Zurich, (Madrid, Oxford)
  • Arithmetic and physics of Higgs moduli spaces, July 2011, Leeds (Santa Barbara, Cambridge, Oxford, Jussieu, Columbia, Stony Brook, Imperial)
  • Quiver representations and the cohomology of Hitchin fibers, Oberwolfach
  • Mirror symmetry, Langlands duality and the Hitchin system, Simons lecture series, Lecture 1, Lecture 2, Lecture 3, October 2010, Stony Brook
  • Global Topology of the Hitchin System, (5 lecture course) Problem sheet, July 2010, Bonn
  • Mirror symmetry, Langlands duality and the Hitchin system (5 lecture course), March 2010, Barcelona
  • Kac's conjectures via arithmetic harmonic analysis Lecture 1 Lecture 2, Lecture 3,September 2009, Luminy
  • Kac's conjectures via arithmetic harmonic analysis (5 hours lecture course), July 2009, Cologne
  • Arithmetic harmonic analysis on holomorphic symplectic quotients, April 2009, Seoul (Sheffield)
  • Topology of the Hithin map and the arithmetic of the character variety, November 2008, Cambridge
  • Topology of the Hithin map and the arithmetic of the character variety, October 2008, Oxford (Edinburgh, York)
  • Arithmetic harmonic analysis on holomorphic symplectic quotients, June 2008 Barcelona (Bonn, Geneva)
  • Toric Non-Abelian Hodge Theory, January 2008, Toronto (Glasgow, Oxford, Kyoto, Tokyo)
  • Mixed Hodge polynomials of character varieties, June 2007, Aarhus
  • S-duality in hyperkähler Hodge theory, September 2006, Madrid
  • Cohomology of hyperkähler moduli spaces via arithmetic harmonic analysis (90 minutes talk), November 2005, Kyoto (various subsets in Oxford, Leeds, Glasgow, Edinburgh, Nagoya)
  • Betti numbers of hyperkähler manifolds via arithmetic harmonic analysis, (two talks) November 2005, Budapest, (various subsets in Paris, Grenoble, Montpellier, Oxford, Cambridge, London)
  • Cohomology of hyperkähler moduli spaces via arithmetic harmonic analysis, July 2005, Seattle
  • Cohomology of hyperkähler spaces in gauge theory, May 2005, Banff
  • Quaternionic Geometry of Matroids, May 2005, Calgary
  • Arithmetic harmonic analysis and cohomology of hyperkähler manifolds, April 2005, Santa Barbara, Urbana-Champaign, Toronto, Budapest
  • Cohomology of hyperkähler quotients, August 2004, Palo Alto
  • Quaternionic Geometry of Everything, April 2004, Houston

    2013

  • 2-7 June, Refined invariants in geometry, topology and string theory, BIRS, Banff

    2012

  • 15-18 October, Fields Medal Symposium in honour of Ngo Bao Chau, Fields Institute, Toronto
  • 7 - 13 July, Representation Theory and Symplectic Algebraic Geometry, CIRM Luminy
  • 25-29 June, "De la géométrie algébrique aux formes automorphes: une conférence en l'honneur de Gérard Laumon", Orsay
  • 30 May, Algebra and Geometry seminar, University of Rome "La Sapienza"
  • 21-23 May, "Intégrales orbitales, fibration de Hitchin, et caractéres des groupes reductifs finis", University of Caen
  • 11-16 March, Advances in hyperkahler and holomorphic symplectic geometry, BIRS, Banff
  • 9 March, "Arithmetic and physics in discrete algebraic geometry" Fejes-Tóth Lecture, Centre for Computational Discrete Geometry, University of Calgary
  • 1 March, Pure Mathematics/Mathematical Physics seminar, University of Cardiff
  • 12 January, Colloquium at Center for Mathematical Physics, Hamburg

    2011

  • 9 Dec, Algebraic Geometry / Moduli seminar, ETH, Zurich
  • 17 Oct, Symmetries of SL(n) Hitchin fibers, Geometry and Analysis seminar, Oxford
  • 12-16 Sep, Conference on principal G-bundles, ICMAT, Madrid
  • 18 July-5 Aug, Nonperturbative Effects and Dualities in QFT and Integrable Systems, KITP, Santa Barbara
  • 4-7 July, Gauge theory and complex geometry, University of Leeds
  • 27-30 June, VBAC2011, closing conference of Moduli Spaces Newton Institute, Cambridge
  • 9 June, Arithmetic and physics of Higgs moduli spaces, Seminaire de geometrie algebrique, Jussieu
  • 23-28 May, Arithmetic and physics of Higgs moduli spaces, Moduli Spaces and Moduli Stacks, Columbia University
  • 18-20 May, Equivariant Quantum Cohomology, Mirror Symmetry, and Symplectic Geometry, Simons Center, Stony Brook
  • 25 March, Arithmetic and physics of Higgs moduli spaces, London topology and geometry seminar, Imperial College
  • 14-18 March, Representations of Surface Groups and Higgs Bundles, Oxford; satellite workshop of Moduli Spaces Newton Institute, Cambridge
  • 20-26 February, Quiver representations and cohomology of Hitchin fibers, Representation theory of quivers and finite dimensional algebras, Oberwolfach

    2010

  • 25-29 Oct, Simons lecture series (3 lectures) Stony Brook
  • 18 Oct, From S-duality to the Fundamental Lemma, Geometry and Analysis seminar, Oxford
  • 26-30 July, 4-5 lecture minicourse at Summer School on the Hitchin fibration, University of Bonn
  • 5-9 July, NON-EUCLIDEAN GEOMETRY AND ITS APPLICATIONS, Cluj-Napoca (Kolozsvár)
  • 19 April - 23 April, Simons lecture series (3 lectures) Stony Brook (cancelled due to flight restrictions - delivered by Simon Donaldson instead)
  • 16 April, GQT colloquium at The Interface of Integrability and Quantization , Lorentz Center, Leiden
  • 14 April, Arithmetic harmonic analysis on symplectic quotients, Colloquium, University of Amsterdam
  • 1 April, Mirror symmetry, Langlands duality and the Hitchin system, Colloquium, Uttrecht
  • 27 March - 17 April, visiting Geometry and Quantum Field theory cluster, University of Amsterdam
  • 17-26 March, 5 lecture mini-course at school on Geometric Langlands and gauge theory, CRM Barcelona
  • 24 February, Mirror symmetry, Langlands duality and the Hitchin system, Algebra, Geometry and Integrable Systems Colloquium, Leeds
  • Hilary Term, Mirror symmetry, Langlands duality and the Hitchin system, 5 lecture mini-course in Mathematical Institute, Oxford

    2009

  • 22 December, Mirror symmetry, Langlands duality and the Hitchin system II, Algebraic Geometry and Differential Topology seminar, Renyi Institute, Budeapest
  • 11 December, Mirror symmetry, Langlands duality and the Hitchin system, Mathematisches Kolloquium, University of Bonn
  • 1 December, Habilitation Jury for Chaudouard, Orsay
  • 5 November, Mirror symmetry, Langlands duality and the Hitchin system, COW seminar, Cambridge
  • 27 October, Mirror symmetry, Langlands duality and the Hitchin system, Algebra Seminar, Edinburgh
  • 12 October, Mirror symmetry, Langlands duality and the Hitchin system, Geometry and Analysis Seminar, Oxford
  • 14-18 September, 3 lecture mini-course at Quiver varieties, Donaldson-Thomas invariants and instantons, CIRM Luminy
  • 21 Aug - 13 September, visiting University of Montpellier
  • 26 July-1 August, 4 lecture mini-course at Summer school on Geometry of Representations, Cologne
  • June 22-26, workshop on Mirror symmetry, symplectic geometry and related topics, MIT
  • April 22-23, University of Tokyo, geometry seminar: "Toric non-Abelian Hodge Theory"
  • April 19-21, University of Kyoto
  • April 12-18, Seoul National University, seminar:"Mirror symmetry and Langlands duality" , colloquium: "Arithmetic harmonic analysis on holomorphic symplectic quotients"
  • 10 March, "Topology of the Hitchin map and the arithmetic of the character variety", SAGA Orsay
  • 18 February, "The Hitchin fibration" number theory study seminar, UCL, London

    2008

  • Nov 4, "Topology of the Hithin map and the arithmetic of the character variety", Mathematical Physics seminar, Cambridge
  • Oct 14, "Topology of the Hithin map and the arithmetic of the character variety" Geometry and Analysis seminar, Oxford
  • Oct 10, "Topology of the Hithin map and the arithmetic of the character variety" Geometry Seminar, Edinburgh
  • Oct 9, "Topology of the Hithin map and the arithmetic of the character variety", Yorkshire-Durham geometry day, York
  • Sep 23, "Arithmetic harmonic analysis on holomorphic symplectic quotients", University of Geneva
  • June 25-28,Conference on Moment Maps,Centre de Recerca Matemática, Barcelona
  • June 19, Seminar Algebraic Geometry , MPI Bonn
  • April 5-20 Research in Pairs with Letellier and Villegas, Oberwolfach
  • March 12, London Number Theory seminar
  • Jan 14-17 Conference on Mathematical Physics and Geometric Analysis, Fields Institute, Toronto

    2007

  • Dec 5, Pure Mathematics Colloquium, University of Sheffield
  • Nov 15, "Toric Non-Abelian Hodge Theory", Quaternionic structures in algebraic geometry, University of Glasgow
  • Oct 15, "Toric Non-Abelian Hodge Theory", Geometry and Analysis Seminar, University of Oxford
  • June 10-Aug 10, Rényi Institute, Budapest, Hungary
  • June 23 THÉORIE DE LIE, GÉOMÉTRIE ET REPRÉSENTATIONS, Colloque International, Institut de Mathématiques de Jussieu, Paris, France
  • June 18-22 Geometry and TQFT Aarhus, Denmark
  • June 4-8, Arithmetic harmonic analysis on character and quiver varieties, American Institute of Mathematics, Palo Alto, California

    2006

  • Dec 1, Kac's conjectures on quiver representations via arithmetic harmonic analysis, Algebraic Geometry seminar, Columbia University
  • Oct 9, Arithmetic of the Riemann-Hilbert monodromy map, Geometry seminar, University of Oxford
  • Oct 3, Kac's conjectures on quiver representations via arithmetic harmonic analysis, Algebraic Geometry seminar, University of Oxford
  • Sep 14, Mixed Hodge polynomials of character varieties, Trinity College, Dublin
  • Sep 4-8, "S-duality in hyperkähler Hodge theory" Madrid, Geometry Conference in honour of Nigel Hitchin poster
  • Aug, "Kac's conjectures on quiver representations via arithmetic harmonic analysis" (in Hungarian), Algebraic Geometry seminar, Rényi Institute , Budapest
  • Jan, "Kac's conjectures on quiver representations via arithmetic harmonic analysis", GADGET seminar UT Austin

    2005

  • December 6, Nagoya University
  • November 28 -December 10, Department of Mathematics, Kyoto University, visiting Hiraku Nakajima
  • November 24, Geometry seminar, University of Edinburgh
  • November 23, Joint Algebra and Geometry and Topology seminar University of Glasgow
  • November 21, Algebra seminar, University of Leeds
  • November 17, Representation theory seminar, University of Oxford
  • November 11," Cohomology of hyperkahler manifolds via arithmetic harmonic analysis" Topology and Geometry seminar, Imperial College, London
  • November 9, Geometry seminar, University of Cambridge
  • November 3-6, Workshop on the Topology of hyperkähler manifolds, Rényi Institute, Budapest
  • October 28, "Hyperkähler geometry and moduli spaces" (in Hungarian), Algebraic Geometry and Differential Topology Seminar, Renyi Institute, Budapest
  • October 24, Geometry and analysis seminar, University of Oxford
  • October 20, Algébre Géométrie Algébrique Topologie Algébraique séminaire, University of Montpellier
  • October 17, l'Institut Fourier, Grenoble
  • October 13, " Arithmetic harmonic analysis, Macdonald polynomials and the topology of the Riemann-Hilbert monodromy map" Seminaire Chevalley, Paris
  • Sep 14, "The Hitchin map (T and Langlands duality)" Geometry and string theory seminar, UT Austin
  • Sep 7, "The Hitchin space (non-abelian Hodge theory)" Geometry and string theory seminar, UT Austin
  • July 25-29, Moduli of Sheaves and cohomological methods, Summer Institute in Algebraic Geometry, University of Washington at Seattle
  • June 10, "Aritmetikus harmonikus analizis es hyperkahler sokasagok kohomologiaja" (Arithmetic harmonic analysis and the cohomology of hyperkahler manifolds) Algebraic Geometry seminar, Renyi Institute, Budapest
  • May 21-25 Moment maps in various geometries, Banff International Research Station
  • May 15-19, Densest Packing of Spheres, Banff International Research Station
  • May 13-14, "Quaternionic geometry of matroids", Calgary workshop in Discrete geometry
  • May 10-11, Symplectic Geometry Seminar, University of Toronto
  • April 21, "Topology of the Riemann-Hilbert monodromy map via arithmetic haRmonic analysis ", Differential Geometry seminar; University of Illinois, Urbana-Champaign
  • April 17, "Mirror symmetry and Langlands duality in the mixed Hodge structure of charaCter varieties of Riemann surfaces", Special Session on Geometry and Physics, AMS sectional meeting, Santa Barbara
  • February 22, "Topology of the Riemann-Hilbert monodromy map via arithematic harmonic analysis" , GADGET seminar, UT Austin

    2004

  • August 9-13, "Cohomology of hyperkahler quotients", Moment Maps and Surjectivity in Various Geometries, American Institute of Mathematics, Palo Alto
  • April 15, Geometry seminar, UT Austin: "On a conjecture on the mixed Hodge polynomial of the GL(n,C)-character variety of a Riemann surface "
  • April 8, Colloquium at Rice University, Houston: "Quaternionic geometry of everything".
  • March 17-21,L^2 harmonic forms in geometry and string theory , American Institute of Mathematics, Palo Alto

    2003

  • December 19, Geometric Methods in Algebra and Number Theory, University of Miami: "Mirror symmetry, Langlands duality and representations of finite groups of Lie type"
  • September 18, 2003 Geometry Seminar, UT Austin: Integrals on the moduli of Higgs bundles
  • Feb. 21-23, Houston, Texas Geometry and Topology Conference, Mirror symmetry, Langlands duality and representations of finite groups of Lie type
  • Feb 11, Number theory seminar, UT Austin: Mirror symmetry, Langlands duality and representations of finite groups of Lie type

    2002

  • Oct 8, 12 30 GADGET Seminar, UT Austin: Introduction to problems in quaternionic geometry III. Problems in quaternionic geometry
  • Oct 1, 12 30 GADGET Seminar, UT Austin: Introduction to problems in quaternionic geometry II. Introduction to hyperkähler (quaternionic, N=4 supersymmetric) geometry
  • Sep 24, 12 30 GADGET Seminar, UT Austin: Introduction to problems in quaternionic geometry I. The Kähler package
  • April 9, Miller Institute for Basic Reaserch in Science: Problem solving by geometrization and algebraization: Present day implementation of Descartes's program
  • Mar 29, MSRI, Berkeley, Non-Abelian Hodge Theory, Part I: Higgs bundles and applications workshop: Intersection theory on the moduli space of Higgs bundles
  • Mar 13, 2-3pm, MSRI, Berkeley, Intersection Theory on Stacks workshop: Intersection theory on toric hyperkahler varieties
  • Feb 8, Berkeley Compactifications seminar: Why compactify?

    2001

  • Dec 17, 16.00 Budapesti Mûszaki Egyetem (Technical University of Budapest), H. 306: Matroidok Kvaternió Geometriája (Quaternionic Geometry of Matroids)
  • Dec 14, 10.15 Rényi Institute, Budapest: Tükör szimmetria, Langlands dualitás és Hitchin rendszerek, (Mirror symmetry, Langlands duality and Hitchin systems)
  • Nov 27, Upenn Math-Physics joint seminar: Mirror symmetry, Langlands duality and Hitchin systems
  • Nov 19, Stanford Algebraic methods seminar: Quaternionic geometry of matroids
  • Nov 10-11, 2001 Fall Western Section Meeting Irvine, CA , Extremal Metrics and Moduli Spaces: Mirror symmetry, Langlands duality and Hitchin systems
  • Oct 15, Berkeley Combinatorics seminar titled: Quaternionic geometry of matroids
  • Oct 4, Austin Geometry seminar titled: Quaternionic geometry and dualities in mathematics and physics
  • Sep 11, Seminars on hyperKähler manifolds , Kyoto University: Yang-Mills instantons on Taub-NUT space
  • Sep 10, Seminars on hyperKähler manifolds, Kyoto University: Cohomology rings of quiver varieties
  • Sep 6, ``Geometry of Moduli spaces and Integrable Systems'', Workshop in RIMS, Kyoto University, Japan : Mirror symmetry, Langlands duality and Hitchin systems
  • June 1, Workshop on New Interfaces between Geometry and Physics, Miraflores de la Sierra, Madrid (Spain): Cohomology ring of Nakajima's quiver varieties;
  • April 20, joint Berkeley Differential Geometry and String Theory seminar: L^2 cohomology and Schwarzschild instantons;
  • April 10, Stanford Topology seminar titled Mirror symmetry, Langlands duality and Hitchin systems ;
  • April 2, Northern California Symplectic Geometry seminar: Cohomology ring of hyperkaehler quotients ;
  • March 21, Berkeley Infinite dimensional algebras seminar: Mirror symmetry, Langlands duality and Hitchin systems ;
  • March 19, Berkeley Combinatorics seminar : Combinatorics via topology of moduli spaces .