 John Ball
Elasticity theory, calculus of variations, infinitedimensional dynamical systems
 Guram Bezhanishvili
Topology, Algebra, Categories in Logic
 Dan Burghelea
Differential topology, geometric analysis, Ktheory
 Alberto Cattaneo
Symplectic and Poisson geometry,
homotopical algebra in mathematical physics
 Vasily Dolgushev
Homotopy algebras, noncommutative geometry, category theory and mathematical physics
 Sever Dragomir
Pure Mathematics 
Classical Mathematical Analysis, Convex Functions, Best Approximation, Numerical Integration, Geometry of Banach Spaces, Operator Theory, Variational Methods, Volterra Integral Equations, Qualitative Theory of Differential Equations
Applied Mathematics 
Theory and Coding, Guessing Theory, Adaptive Quadrature Rules, Adaptive Cubature Rules, Numerical Methods for Differential Equations, Numerical Methods for PDE's, Game Theory, Kolmogorov Complexity
 Roland Duduchava
Boundary value problems for partial differential equations, equations of mathematical physics, elasticity theory, Maxwell equations, pseudodifferential equations, nonlinear Boltzman equations, one and multilinear singular integral equations, discrete and integral convolution equations, approximate solutions of integral equations
 Wojciech Gajda
Arithmetic algebraic geometry, algebraic Ktheory, number theory
 Hvedri Inassaridze
Homotopical algebra, Ktheory, noncommutative geometry
 George Janelidze
Category theory, Galois theory
 Palle E. T Jorgensen
functional analysis, operator algebras, harmonic analysis, applied: mathematical physics (quantum theory), engineering (signal/image processing), and statistics (Gaussian processes).
 Giorgi Khimshiashvili
Topology, real algebraic geometry, singularity theory, nonlinear analysis
 Emzar Khmaladze
Homological and homotopical algebra
 Mark Kon
Mathematical physics, functional analysis, mathematical learning theory
 Kohji Matsumoto
Number theory, zeta theory
 Alexander Meskhi
Harmonic analysis and applications in partial differential equations
 Bojan Mohar
Graph theory
 Hari M. Srivastava
Real and Complex Analysis, Fractional Calculus and Its Applications, Integral Equations and Transforms, Higher Transcendental Functions and Their Applications, qSeries and qPolynomials, Analytic Number Theory, Analytic and Geometric Inequalities, Probability and Statistics, Inventory Modelling and Optimization.
 Matti Vuorinen
Analysis, geometric function theory
 Ryszard Nest
Homological algebra, Noncommutative geometry, Ktheory.
 Yuli Rudyak
Algebraic topology, differential topology, symplectic topology.
 David Natroshvili
Theory of elasticity, wave propagation (scattering) problems, potential theory and
integral equations, equations of mathematical physics.
 Roger Plymen
Noncommutative geometry, representation theory
 Tomas Recio
Automated theorem proving, computer algebra, dynamic geometry, computational geometry, computational algebraic geometry, real algebraic and analytic geometry, mathematics education
 Efim Zelmanov
Group theory, ring theory, Lie algebras
 Marta Lewicka
Calculus of Variations, PDEs, Topological Methods in Nonlinear Analysis
 Benedikt Löwe
Mathematical logic, foundations of mathematics, mathematical foundations of computer science
 Kirill Mackenzie
Lie algebroids and Lie groupoids, Poisson geometry and associated structures

 Malkhaz Bakuradze
Algebraic topology, cobordism theory, Morava Ktheory
 Vladimer Baladze
Dimension theory, geometric topology, algebraic topology, theory of continuous transformations groups.
 Peter Bates
Infinitedimensional dynamical systems, nonlinear elliptic and parabolic partial
differential equations, phase transitions, mathematical biology
 Victor Buchstaber
Algebraic topology, groups actions, functional equations, abelian functions in
mathematical physics
 Marta Bunge
Category theory, topos theory, synthetic differential geometry and topology
 Christophe Cheverry
Linear and nonlinear hyperbolic partial differential equations, propagation of
singularities, nonlinear geometric optics
 Ross Geoghegan
Topology and geometric group theory
 Rostom Getsadze
Mathematical analysis
 Jan Lang
Operator theory, harmonic analysis, function spaces, PDE
 Marco Grandis
Category theory, homotopy theory
 Joseph Gubeladze
Combinatorial commutative algebra, Homological and Ktheoretical aspects
of algebraic combinatorics, Lattice polytopes and related discrete
structures
 Graham Hall
Mathematical relativity theory, differential geometry
 John E. Harper
Homotopy theory, algebraic topology, structured ring spectra, Goodwillie calculus
 Olga Holtz
Numerical analysis, matrix theory, algebra and combinatorics, computational complexity
 Nick Inassaridze
Homological and homotopical algebra, cyclic homology
 Manfred Kolster
Algebraic number theory, algebraic Ktheory
 Pekka Koskela
Geometric analysis
 Temur Kutsia
Unification, rulebased programming, rewriting, automated reasoning, symbolic computation techniques for unranked terms and hedges
 Tenreiro Machado
Nonlinear Dynamics, Fractional Calculus, Modeling, Control, Evolutionary Computing, Complex Systems
 Graham Ellis
Homological akgebra programming
 Matthias Baaz
Proof theory, proof complexity, general logics, juridical logic
 Franz Winkler
Symbolic and algebraic computation (computer algebra), algebraic and differential elimination theory, algorithms in algebraic geometry, term rewriting systems, equational theorem proving
