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 Algebra, Algebraic Geometry

The UBC Mathematics Department has a strong group in Algebra and Algebraic Geometry which has several faculty members, postdocs, and graduate students and runs a weekly seminar.


Faculty Research Email*
Kai Behrend Algebraic geometry: moduli problems, algebraic stacks. Foundational questions in Donaldson-Thomas theory. Derived geometry and derived symplectic geometry.

behrend
Jim Bryan Algebraic geometry related to high energy physics: moduli spaces, computational Donaldson-Thomas and Gromov-Witten theory, K3 surfaces, Calabi-Yau threefolds, enumerative geometry.

jbryan
Sabin Cautis Geometric representation theory and algebraic geometry related to questions in categorification, mathematical physics and low dimensional topology, such as the study of knot homologies.

cautis
Kalle Karu Combinatorial algebraic geometry: varieties with torus action, intersection cohomology, algebraic cobordism theory, combinatorics of polytopes and polyhedral complexes.

karu
Dale Peterson Lie theory

peterson
Zinovy Reichstein Algebraic groups and related topics: invariant theory, Galois cohomology, central simple algebras, Lie theory, representation theory.

reichst
Postdocs Research Email*
Uriya First Algebraic groups, quadratic and hermitian forms, central simple algebras and their involutions, Bruhat-Tits theory, representation theory of groups acting on buildings.

ufirst
Balin Fleming Jet schemes, arc schemes, toric varieties.

bkflem
Clemens Koppensteiner Algebraic geometry inspired by geometric representation theory: singular support of coherent sheaves and D-modules in Geometric Langlands, Hochschild cohomology of categories of sheaves, perverse coherent sheaves.

clemens
Nicolo Sibilla Algebraic and symplectic geometry, with special emphasis on mirror symmetry. Log geometry, derived geometry and higher category theory.

sibilla
Mattia Talpo Algebraic geometry, mostly moduli theory: moduli problems and algebraic stacks, logarithmic geometry and its applications, parabolic sheaves on logarithmic schemes and their moduli spaces.

mtalpo
Emeriti Research Email*
James Carrell Algebraic groups and algebraic geometry.

carrell
William Casselman Algebraic geometry, modular function theory, infinite dimensional representations of Lie groups.

cass

*Please add @math.ubc.ca to complete Email entries.

 
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