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Geometry and Topology at the University of Illinois Urbana-Champaign: Faculty

Geometry and Topology Faculty

Albin, Pierre: Analytic representations of topological invariants, analysis on non-compact or singular spaces, spectral geometry.
MathSciNet MR Author ID: 816329 | Scopus Author ID: 16232252400

Baryshnikov, Yuliy: Applications of topology in engineering, stochastic geometry and topology.
MathSciNet MR Author ID: 220634 | Scopus Author ID:35612374200

Berwick-Evans, Dan: Quantum field theory and algebraic topology.
MathSciNet MR Author ID: 1099418 | Scopus Author ID: 56538735300

Bradlow, Steven: Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces.
MathSciNet MR Author ID: 304864 | Scopus Author ID: 6602585851

Di Francesco, Philippe: Mathematical Physics, Physical Combinatorics, Integrable Systems
MathSciNet MR Author ID: 243495 | Scopus Author ID: 7005681973

Dunfield, Nathan: 3-dimensional geometry and topology, hyperbolic geometry, geometric group theory, experimental mathematics, connections to number theory.
MathSciNet MR Author ID: 341957 | Scopus Author ID: 6603329906

Fernandes, Rui Loja: Differential geometry, Poisson geometry, integrable systems and Lie theory.
MathSciNet MR Author ID: 341522 | Scopus Author ID: 7103259676

Heller, Jeremiah: Motivic homotopy theory, algebraic cycles and K-theory.
MathSciNet MR Author ID: 901183 | Scopus Author ID: 55241931000

Hinkkanen, Aimo: One complex variable, Möbius groups, quasiconformal maps, complex dynamics.
MathSciNet MR Author ID: 86135 | Scopus Author ID: 7003685881

Hirani, Anil: Geometry and Topology (applied and computational), Numerical Analysis, Computational Physics.
MathSciNet MR Author ID: 306216 | Scopus Author ID: 6602279610

Ivanov, Sergei V: Algebra, topology, and combinatorial group theory and its applications.
MathSciNet MR Author ID: 221040 | Scopus Author ID: 35746046500

Kerman, Ely: Hamiltonian dynamics and symplectic topology.
MathSciNet MR Author ID: 654469 | Scopus Author ID: 6507665237

Lerman, Eugene: Symplectic geometry, symmetric Hamiltonian systems.
MathSciNet MR Author ID: 112815 | Scopus Author ID: 26643082700

McCarthy, Randy: Symplectic geometry, symmetric Hamiltonian systems.
MathSciNet MR Author ID: 255186 | Scopus Author ID: 7202095308

Mineyev, Igor: 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.
MathSciNet MR Author ID: 649227 | Scopus Author ID: 6602270466

Nikolaev, Igor: Quasiconformal mappings, Monge-Ampere equations, regularity problems in Riemannian geometry.
MathSciNet MR Author ID: 225039 | Scopus Author ID: 16430355400

Pascaleff, James: Symplectic topology and mirror symmetry.
MathSciNet MR Author ID: 943757 | Scopus Author ID: 56453312700

Rasmussen, Jake: Low-dimensional topology.
MathSciNet MR Author ID: 702055 | Scopus Author ID: 7402620598

Rezk, Charles: Algebraic topology.
MathSciNet MR Author ID: 638495 | Scopus Author ID: 6506950242

Stojanoska, Vesna: Homotopy theory and its relations to arithmetic.
MathSciNet MR Author ID: 857759 | Scopus Author ID: 56449204000

Tolman, Susan: Symplectic geometry.
MathSciNet MR Author ID: 342525 | Scopus Author ID: 6602752030

Tumanov, Alexander: Complex analysis and geometry.
MathSciNet MR Author ID: 189281 | Scopus Author ID: 7007037522

Tyson, Jeremy: Geometric function theory, quasiconformal maps, analysis in nonsmooth metric spaces, sub-Riemannian geometry.
MathSciNet MR Author ID: 625886 | Scopus Author ID: 7201985979

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