Geometry and Topology
Geometry is the branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures, and topology is the branch concerned with the properties of a geometric object that are preserved under continuous deformations. Our expert faculty advance both fields, exploring the deep connections between them and their far-reaching applications across mathematics and the sciences.
Members
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Quantum information, quantum field theory, quantum gravity
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Geometric aspects of quantum field theory and string theory
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Index theory, determinants of elliptic operators, topological insulators
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Algebraic geometry, string geometry, and mathematical physics
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Geometric and combinatorial representation theory, knot theory
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Categorification, low-dimensional topology, representation theory
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Differential topology, algebraic topology
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Complex analytic singularities
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Applied algebraic and geometric topology, data science
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Optimization, Riemannian geometry, statistical estimation, semidefinite programming, trustworthy autonomous systems
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Discrete and combinatorial geometry, combinatorics, group theory
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Algebraic and geometric topology
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Global analysis, Hamiltonian PDEs, integrable systems, Riemannian geometry
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Quantum field theory, symplectic geometry
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Discrete geometry
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Representation theory, cluster algebras, tensor categories, Poisson geometry
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Geometric analysis, partial differential equations
Related Seminars
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509 Lake Hall | Fridays, 12:15 p.m. ET
Organizer: Maxim Braverman -
Organizers: Matan Harel, Matt Hogancamp, Jonathan Weitsman
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509 Lake Hall | Mondays, 12:15-1:15 p.m. ET
Organizers: Chris Beasley, Harm Derksen, Iva Halacheva, Anthony Iarrobino, Elias Mochan, Oana Veliche -
509 Lake Hall | Thursdays, 3:00-4:00 p.m. ET
Organizers: Do Kien Hoang, Pablo Boixeda Alvarez, Iva Halacheva, Sasha Pevzner, Valerio Toledano Laredo -
509 Lake Hall | Fridays (alternating), 1:30-2:30 p.m. ET
Organizers: Alia Yusaini Arturo Ortiz San Miguel -
509 Lake Hall and Zoom | Tuesdays, 10:30-11:30 a.m. ET
Organizers: Anh Hoang, Jose Perea, Alex Suciu