Knot theory and its applications, low-dimensional topology, especially
hyperbolic 3-manifolds, applications of topology.
Arthur T. Benjamin
Combinatorics, game theory, Fibonacci numbers.
Kenneth S. Berenhaut
Applied probability; convergence rates; mathematical inequalities; difference equations;
statistical methodology; matrix inequalities; analytic, probabilistic and combinatorial
number theory; discrete structures.
Martin Bohner
Differential equations, difference equations, dynamic equations on time scales,
eigenvalue problems, boundary value problems, oscillation, Hamiltonian systems,
Sturm–Liouville equations, dynamical systems, mathematical biology,
mathematical economics, inequalities, functional equations, control theory,
quantum calculus.
Amarjit S. Budhiraja
Nonlinear filtering, stochastic control theory, stochastic networks, large deviations,
stochastic analysis.
Scott Chapman
Commutative algebra, finite abelian groups, combinatorics, number theory.
Joshua N. Cooper
Quasirandomness, spectral (hyper)graph theory, discrete geometry, universal cycles,
combinatorial number theory, coding theory, extremal permutations, and
permutation patterns.
Michael Dorff
Complex analysis, minimal surfaces, geometry.
Sever S. Dragomir
Classical mathematical analysis, convex functions, best approximations,
numerical integration, geometry of Banach spaces, operator theory,
variational methods, Volterra integral equations, qualitative theory of
differential equations, theory and coding, guessing theory,
adaptive quadrature rules, adaptive cubature rules, numerical methods for
differential equations, numerical methods for PDE's, game theory,
Kolmogorov complex.
Malena I. Espanol
Numerical analysis, numerical linear algebra, inverse problems,
applications to materials science and image processing.
Sampling designs, time series forecasting, biostatistics.
Jim Haglund
Algebraic and enumerative combinatorics.
Glenn H. Hurlbert
Graph theory, graph pebbling, combinatorics, universal cycles,
extremal set theory, partially ordered sets, linear optimization,
combinatorial optimization.
Michael Jablonski
Homogeneous Einstein manifolds and Ricci solitons,
geometry of nilpotent and solvable Lie groups,
representations of Lie and algebraic groups,
geometric invariant theory and applications to the geometry of Lie groups.
Markov chains, statistical climatology, time series.
Gaven J. Martin
Geometric function theory (quasiconformal mappings and non-linear analysis) and
discrete groups and hyperbolic geometry (low-dimensional topology and geometry).
Frank Morgan
Geometry, minimal surfaces, geometric measure theory, calculus of variations.
Mohammad Sal Moslehian
Functional equations, structure of normed linear spaces and Hilbert spaces,
Banach algebras and C*-algebras, operator inequalities, homology of Banach algebras.
Ken Ono
Combinatorics and number theory involving elliptic curves, L-functions, modular forms,
Maass forms, and partitions.
Vadim Ponomarenko
Additive combinatorics, semigroup theory, commutative algebra,
linear algebra, number theory, matroid theory.
Bjorn Poonen
Rational points on varieties, explicit methods, connections between arithmetic
geometry and logic.
Shawn D. Ryan
Applied and computational mathematics, mathematical biology,
self-organization or collective motion in active biosystems/biomaterials,
scientific machine learning.
Józef H. Przytycki
Topology, knot theory, algebraic topology based on knots.
Filip Saidak
Analytic number theory, probabilistic number theory, algebraic number theory,
elementary number theory, computational number theory.
Jesse Thorner
Analytic number theory, L-functions, prime numbers, automorphic forms,
elliptic curves, number fields.
Ann Trenk
Graph theory, partially ordered sets.
Ravi Vakil
Deformation theory, Schubert varieties, geometric invariant theory,
moduli of curves, Gromov–Witten theory,
fundamental groups and universal covers.