Volume 12 Number 7
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To Appear
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)

Richard E. Borcherds
Automorphic forms, Lie groups and Lie
algebras
Antoine Chambert-Loir
Diophantine geometry, heights,
Arakelov geometry, Algebraic geometry,
especially non-archimedean geometry,
tropical geometry

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

Samit Dasgupta
Algebraic number theory,
arithmetic geometry, L-functions
(classical, p-adic, special values),
automorphic forms, Iwasawa 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)

Gavril Farkas
Algebraic geometry, moduli spaces,
algebraic curves and abelian varieties.

Hubert Flenner
Affine algebraic geometry, connections
between commutative algebra
and algebraic geometry, deformation
theory

Sergey Fomin
Combinatorics, and its connections with
other areas of mathematics

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

Roger Heath-Brown
Elementary and analytic number theory,
including their applications to
Diophantine geometry

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

Kiran S. Kedlaya
Arithmetic geometry, nonarchimedean
analysis and analytic geometry,
computational and algorithmic
number theory

János Kollár
Algebraic geometry, especially
higher dimensional questions

Philippe Michel
Analytic number theory
Susan Montgomery
Non-commutative algebras, Hopf algebras
Shigefumi Mori
Martin Olsson
Algebraic and arithmetic geometry
Raman Parimala
Quadratic forms, Brauer groups,
Linear algebraic groups and homogeneous
spaces

Jonathan Pila
Connections between model theory,
diophantine geometry,
and transcendental number theory.

Anand Pillay
Model theory and connections with group theory,
geometry, 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)

Michael Rapoport
Arithmetic geometry, Shimura varieties and
moduli schemes of abelian varieties,
algebraic groups

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

Christopher Skinner
algebraic number theory, arithmetic geometry,
Galois representations, automorphic forms,
L-values
Vasudevan Srinivas
Algebraic cycles, geometric commutative
algebra, algebraic K-theory, homological
algebra, characteristic p methods

J. Toby Stafford
Noncommutative algebra, noncommutative
algebraic geometry

Pham Huu Tiep
Group theory, representation 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

Shou-Wu Zhang
Arithmetic geometry (rational points,
algebraic cycles, L-functions, and
Arakelov theory), Special varieties
(curves and their moduli, abelian
varieties and Shimura varieties,
algebraic dynamical systems).