Home — 2003

Home — 2003

Home — 2003

Home — 2003

Jim Carlson was President of the Clay Mathematics Institute 2003-2012.

Home — 2003

Home — 2003

Home — 2003

The 2003 Clay Research Award was made to Terry Tao 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, a fundamental problem about hermitian matrices that goes back to questions posed by Hermann Weyl in 1912.

Home — 2003

The 2003 Clay Research Award was made to Richard Hamilton for his discovery of the Ricci Flow Equation and its development into one of the most powerful tools of geometric analysis. Hamilton conceived of his work as a way to approach both the Poincaré Conjecture and the Thurston Geometrization Conjecture.

Home — 2003

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.

Home — 2003

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.

Home — 2003

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.

Home — 2003

Elon Lindenstrauss received his PhD in 1999 from the Hebrew University under the supervision of Benjamin Weiss. His research focuses on the interface between dynamics and other fields, in particular number theory. Using ergodic theoretic and other techniques, he studied the problem of Arithmetic Quantum Unique Ergodicity, a problem at the interface between the theory of automorphic forms and mathematical physics. Elon was appointed as a Clay Research Fellow for a term of two years from September 2003.