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Editors’ Interests |
| Georgia Benkart
Lie theory, representation theory,
quantum groups, combinatorics |
Dave Benson
Cohomology of finite and compact Lie
groups, modular representation theory, algebraic topology, invariant theory for finite groups |
| Richard E. Borcherds
Automorphic forms, Lie groups and Lie
algebras |
John H. Coates
Iwasawa theory, arithmetic geometry,
L-functions |
| Jean-Louis Colliot-Thélène
Rational points, algebraic cycles,
Galois cohomology, linear algebraic groups, rationally connected varieties |
Brian Conrad
Group schemes, rigid geometry,
abelian varieties, deformation theory |
| David Eisenbud
Classical Algebraic Geometry, especially
the theory of curves and their moduli and deformations; Commutative Algebra, especially free resolutions and Castelnuovo-Mumford regularity; Singularity theory; Computational methods applied to all these fields |
Hélène Esnault
Cohomology theories (motivic, Hodge
theory, l-adic), rational points (finite fields), connections (characteristic classes, Tannaka groups) |
| Hubert Flenner
Affine algebraic geometry, connections
between commutative algebra and algebraic geometry, deformation theory |
Edward Frenkel
Representation theory and Mathematical
Physics |
| Andrew Granville
Analytic and multiplicative number
theory, elementary and algorithmic number theory, additive combinatorics, the abc-conjecture and consequences |
Joseph Gubeladze
Homological and K-theoretic aspects of
algebraic combinatorics, toric varieties lattice polytopes and related discrete structures |
| Ehud Hrushovski
Connections of geometry with model
theory |
Craig Huneke
Characteristic p methods in commutative
algebra and algebraic geometry, local cohomology, homological methods, liaison, syzygies, and computational commutative algebra |
| Mikhail Kapranov |
Yujiro Kawamata
Birational geometry (Kodaira dimension,
minimal models and derived categories) |
| János Kollár
Algebraic geometry, especially
higher dimensional questions |
Yuri Manin |
| Barry Mazur |
Philippe Michel
Analytic number theory
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| Susan Montgomery
Non-commutative algebras, Hopf algebras
|
Shigefumi Mori |
| Raman Parimala
Quadratic forms, Brauer groups,
Linear algebraic groups and homogeneous spaces |
Jonathan Pila
Connections between model theory,
diophantine geometry, and transcendental number theory. |
| Bjorn Poonen
Rational points on varieties,
explicit methods, connections between arithmetic geometry and logic |
Victor Reiner
Algebraic, topological, geometric
combinatorics (e.g. combinatorial commutative algebra and representation theory) |
| Karl Rubin
Elliptic curves, Iwasawa theory,
special values of L-functions |
Peter Sarnak |
| Joseph H. Silverman
Elliptic curves, Diophantine geometry,
arithmetic and p-adic dynamics |
Michael Singer
Algebraic theory of differential and
difference equations and connections with logic, symbolic computation |
| Ronald Solomon |
Vasudevan Srinivas
Algebraic cycles, geometric commutative
algebra, algebraic K-theory, homological algebra, characteristic p methods |
| J. Toby Stafford
Noncommutative algebra, noncommutative
algebraic geometry |
Bernd Sturmfels
Applied and computational aspects of
commutative algebra, combinatorics and algebraic geometry. |
| Richard Taylor
Galois representations, arithmetic theory
of automorphic forms, applications to number theory |
Ravi Vakil
Algebraic geometry (including
moduli spaces and related topics) |
| Michel van den Bergh |
Marie-France Vignéras
Modular representations of
reductive p-adic groups, local Langlands correspondence, automorphic representations |
| Kei-Ichi Watanabe
Commutative ring theory, related
to singularity theory and algebraic geometry; characteristic p method to analyze singularities; invariant theory of finite groups |
Andrei Zelevinsky
Algebraic and combinatorial
methods in representation theory and algebraic geometry |
| Efim Zelmanov |
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