General topology and homotopy theory, fibrations and classifying spaces, abstract homotopy

Complex analysis

Functional Analysis with applications to summability, FK topologies, algebras of bounded linear operators on certain sequence spaces

Commutative algebra: Noetherian rings of geometric, algebraic or arithmetic type; polynomial and power series algebras over such rings

Nathaniel A. Friedman, Ph.D., Brown University. Isomorphism problems in ergodic theory, higher order mixing, higher order sweeping out, mixing on sequences, sweeping out on sequences

William F. Hammond, Ph.D., Johns Hopkins University. Number theory and algebraic geometry, theta functions, Hilbert modular surfaces. Email: hammond @ albany.edu

Markov processes, time series

Central limit theorem

Analytic and harmonic functions in the disc, zero sets, boundary distributions, factorization, structure of closed ideals

Statistical theory, survival distributions, analysis of clinical trials

Classical complex analysis, geometric function theory; specialty: extreme points and extremal problems for families of univalent functions

Tiling, foundations of geometry

Several complex variables, real submanifolds of complex manifolds, partial differential equations

Differential equations

Real analysis and integration theory, inequalities, rearrangement-invariant function spaces, interpolation of operators

Edward C. Turner, Ph.D., University of California, Los Angeles. PL and smooth topology, combinatorial group theory

Donald R. Wilken, Ph.D., Tulane University. Extremal problems of families of univalent functions, algebras of analytic functions