## Arthur Jaffe

Arthur Jaffe was President of the Clay Mathematics Institute 1998-2002.

Home — 2002

Arthur Jaffe was President of the Clay Mathematics Institute 1998-2002.

Home — 2002

Home — 2002

Home — 2002

The 2002 Clay Research Award was made to Oded Schramm for his work in combining analytic power with geometric insights in the field of random walks, pecolation, and probability theory in general, especially for formulating stochastic Loewner evolution. His work opens new doors and reinvigorates research in these fields.

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The 2002 Clay Research Award was made to Manindra Agrawal for his work on primality testing; for finding, jointly with two undergraduate students, an algorithm that solves a modern version of a problem going back to the ancient Chinese and Greeks about how one can determine whether a number is prime in a time that increases polynomially with the size of the number; presented on October 30, 2002 in Cambridge, MA.

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Terence Tao received his PhD from Princeton University in 1996 under the supervision of Elias Stein. His research is split between real-variable harmonic analysis (especially the study of maximal functions, multilinear operators, and oscillatory integrals), the analysis of non-linear dispersive and wave equations (especially at or near the critical regularity), and the combinatorics arising from the representation theory and symplectic geometry of U(n) (and in particular, the study of honeycombs). Terry was appointed as a Clay Research Fellow for a term of three years beginning in 2001.

The 2003 Clay Research Award was made to Terry for his groundbreaking work in analysis, notably his optimal restriction theorems in Fourier analysis, his work on the wave map equations, his global existence theorems for KdV type equations, as well as for significant work in quite distant areas of mathematics, such as his solution with Allen Knutson of Horn’s conjecture.

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Igor Rodnianski received his PhD from Kansas State University in 1999 under the supervision of Lev Kapitanskii. His research spans the subjects of partial differential equations, harmonic analysis, and geometry. Igor was appointed as a Clay Research Fellow for a term of two years beginning July 2002.

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Mircea Mustaƫă received his PhD from the University of California, Berkeley in 2001 under the supervision of David Eisenbud. His research interest is in algebraic geometry. More precisely, he is interested in singularities (connections between jet schemes of algebraic varieties and properties of the singularities, via motivic integration), free resolutions (especially for general sets of points on projective curves and connections with properties of vector bundles on these curves) and toric varieties. Mircea was appointed as a Clay Research Fellow for a term of three years beginning 2001.

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Sergei Gukov received his PhD from Princeton University in 2001 under the supervision of Edward Witten. Motivated by phenomenological applications, he works on understanding string compactifications on manifolds of reduced holonomy, such as Calabi-Yau four-folds. Sergei was appointed as a Clay Research Fellow for a term of five years beginning 2001.

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Daniel Gottesman received his PhD from the California Institute of Technology in 1997 under the supervision of John Preskill. Daniel started off working on black hole evaporation before becoming interested in quantum computers. His work focuses on quantum error-correcting codes. In particular, he studied a class of codes called stabilizer codes and showed that any stabilizer code could be used to perform fault tolerant quantum computation. Daniel was appointed as a Clay Research Fellow for a term of 20 months beginning January 2001.

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Dennis Gaitsgory received his PhD from Tel Aviv University in 1997 under the supervision of Joseph Bernstein. His thesis, *Automorphic sheaves and Eisenstein series*, develops ideas of A. Beilinson, V. Drinfeld and G. Laumon that deal with the geometrization of the theory of automorphic forms. Dennis was appointed as a Clay Research Fellow for a term of four years beginning 2000.

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Alexei Borodin received his PhD from the University of Pennsylvania in 2001 under the supervision of Alexandre Kirillov. His research concentrates around asymptotic problems of representation theory of growing families of groups (like symmetric groups or unitary groups), and connections with enumerative combinatorics, random matrix theory, and integrable systems. Alexei was appointed as a Clay Research Fellow for a term of four years beginning July 2001.