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University Library, University of Illinois at Urbana-Champaign

Geometry and Topology at the University of Illinois at 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

Ando, Matthew: Homotopy theory, formal groups, analysis on loop spaces, elliptic cohomology and representation theory.
MathSciNet MR Author ID: 365556 | Scopus Author ID: 7402881353

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

Bergvelt, Maarten: Completely integrable systems, Infinite dimensional Grassmannians, vector bundles and gauge theory.
MathSciNet MR Author ID: 221212 | Scopus Author ID: 6508160379

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

Borman, Strom: Symplectic topology and geometry.
MathSciNet MR Author ID: 856850 | Scopus Author ID: 55190855300

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

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

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

Leininger, Christopher: Mapping class groups, Teichmüller theory, knot theory and three-manifolds, and hyperbolic geometry.
MathSciNet MR Author ID: 688414 | Scopus Author ID: 6603467337

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

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

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

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