Vesna Stojanoska - Homotopy theory and its relations to arithmetic.Īlexander Tumanov - Complex analysis and geometry. James Pascaleff - Symplectic topology and mirror symmetry. Igor Mineyev - Geometric group theory, large-scale geometry, hyperbolic groups, various types of homology and cohomology of groups and spaces, topology of manifolds and cell complexes, metric conformal structures, metric geometry. Randy McCarthy - Spectra, Calculus of Functors, K-theory. Jeremiah Heller -Motivic homotopy theory, algebraic cycles and K-theory.Įly Kerman - Hamiltonian dynamics and symplectic topology.Įugene Lerman - Symplectic geometry, symmetric Hamiltonian systems. Rui Loja Fernandes - Differential geometry, Poisson geometry, integrable systems and Lie theory. Nathan Dunfield - 3-dimensional geometry and topology, hyperbolic geometry, geometric group theory, experimental mathematics, connections to number theory. Steven Bradlow - Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces.
Yuliy Baryshnikov -Applications of topology in engineering, stochastic geometry and topology.ĭan Berwick-Evans - Quantum field theory and algebraic topology. Matthew Ando - Homotopy theory, formal groups, analysis on loop spaces, elliptic cohomology and representation theory. Pierre Albin - Analytic representations of topological invariants, analysis on non-compact or singular spaces, spectral geometry.
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