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个人简介

Employment Princeton University: Instructor 1971-1972 Lecturer 1972-1973 Assistant Professor 1973-1974 University of Michigan: Associate Professor 1974-1976 University of Chicago: Associate Professor 1976-1979 Professor 1979- 1994 R. M. Hutchins Distinguished Service Professor 1994- Editorial positions American Journal of Mathematics 1982-1988 Compositio Mathematica 1982-1988 Bulletin of the American Math. Soc. 1982-1988 Communications in Algebra 1982-1988 Editor: AMS Bowdoin conference in Algebraic Geometry 1985 K-Theory 1987 - Journal of Algebraic Geometry 1990 - 1995 Mathematical Research Letters 1994 - Professional Honors Sloan fellowship Nato fellowship CNRS fellowship ICM speaker; Helsinki, Finland 1978 ICM hour speaker; Kyoto, Japan 1990 Takagi Lecturer; Kyoto, Japan 2006 Visiting professorships: Paris, Bonn, Tokyo, Cologne, Cambridge Sloan Foundation Mathematics Fellowship Committee 1990-1996 Member: National Academy of Sciences 1994- Member: National Academy of Arts and Sciences 2009- Humboldt Prize 1996 Visiting Committees: Iowa, Minnesota, Notre Dame, Brown

研究领域

Algebraic Geometry

近期论文

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Lectures on Mixed Motives (given in Santa Cruz, 1995) The Character of the Infinite Wedge Representation (with A. Okounkov) Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory (with H. Esnault) Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles (with H. Esnault) Gauss-Manin Connections for Rank 1 Irregular Connections on Curves (with H. Esnault) Relative Algebraic Differential Characters (with H. Esnault) Gau\ss-Manin Determinant Connections and Periods for Irregular Connections (with H. Esnault) A Formula for Gau\ss-Manin Determinants (with H. Esnault) Homology for Irregular Connections (with H. Esnault) Enriched Hodge Structures (with V. Srinivas) Crystals and de Rham-Witt Connections An Additive Version of Higher Chow Groups (with H. Esnault) Epsilon Factors for Gauss-Manin Determinants (with A. Beilinson and H. Esnault) The Additive Dilogarithm (with H. Esnault) Congruences for the number of rational points, Hodge type and motivic conjectures for Fano varieties (with H. Esnault) Decomposition of the diagonal and eigenvalues of frobenius for Fano hypersurfaces (with H. Esnault and M. Levine) Local Fourier Transforms and Rigidity for D-Modules (with H. Esnault) Some notes on elementary properties of higher chow groups, including functoriality properties and cubical chow groups (not for publication) K\"unneth Projectors and Correspondences for Open Varieties (with H. Esnault) On motives associated to graph polynomials (with H. Esnault and D. Kreimer) On Witt Vector Cohomology for Singular Varieties (with P. Berthelot and H. Esnault) Addendum to my lectures on the paper of Deligne and Goncharov on mixed Tate motives manuscript on motive of birational cover of graph hypersurface given by projectivized nullspace of symmetric matrix Transparencies for talk on Feynman graphs and motives, IHES, March, 2006. Transparencies for 2 talks on Feynman graphs and motives, IHES, June, 2006. Report on additive chow groups, Lecture Oberwolfach, July, 2006. Motives Associated to Graphs, Takagi Lectures, Kyoto, November, 2006. Mixed Hodge Structures and Renormalization in Physics (with D. Kreimer) Motives Associated to Graph Sums Feynman amplitudes and Landau singularities for 1-loop graphs (with D. Kreimer) Transparencies for talk on Motivic Cohomology, IHES Conference in honor of Grothendieck, January 2009. Transparencies for talk on Graph hypersurfaces, IHES Conference on polylogarithms and physics, June 2009. p-adic Deformation of Algebraic Cycle Classes (with H. Esnault and M. Kerz) Notes on twistor integrals Holonomic Rank Problem (with Huang, Lian, Yau, Srinivas) Lectures on Twistors (Bingen, March 2013) proof of Patterson's thm. (letter to F. Brown) The elliptic Dilogarithm for the Sunset Graph (with Pierre Vanhove) Albert lectures on algebraic cycles 1 Albert lectures 2; Periods associated to cycles Albert lectures 3; Deformations of Hodge classes A Feynman Integral via Higher Normal Functions (with Matt Kerr and Pierre Vanhove) Feynman Amplitudes in Mathematics and Physics, (lectures at CMI conference at ICMAT, Madrid, Spain, August 2014) Motivic Gamma Functions, (3 lectures, Brandeis U. November 2018) Gamma Functions, Monodromy, and Ap\'ery Constants (with Masha Vlasenko) Letter to Vlasenko on deforming local exponents

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