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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
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Algebraic Geometry

Description

Algebraic group actions, moduli problems, toric geometry, surfaces and higher dimensional algebraic varieties, affine geometry, secant varieties, Hilbert schemes, geometry over fields of positive characteristic, relations to algebraic topology.

Seminars

Employees

  • Andrzej Białynicki-Birula
    Algebraic group actions and quotients
  • Maciej Borodzik
    Curves on surfaces, deformations of curves singularities, connections with knot theory, lattice homology
  • Weronika Buczyńska
    Toric geometry, secant varieties, rank of tensors
  • Jarosław Buczyński
    Secantt varieties, ranks of tensors and polynomials, Hilbert schemes, actions of groups on varities, toric geometry, Mori Dream spaces and Cox rings, complex contact manifolds
  • Maria Donten-Bury
    Cox rings, resolution of singularities, hyperkaehler manifolds, combinatorial algebraic geometry
  • Joachim Jelisiejew
    Finite schemes, Hilbert chemes, tropical geometry
  • Oskar Kędzierski
    Toric geometry, G-Hilbert schemes, quiver representations
  • Adrian Langer
    Moduli spaces, surfaces and higher dimensional varieties, algebraic geometry over fields of positive characteristic
  • Tomasz Maszczyk
    Complex algebraic geometry, non-commutative geometry
  • Andrzej Weber
    Topology of algebraic varieties: intersection cohomology, weight filtration, equivariant cohomology, Thom polynomials and equivariant characteristic classes of singularities
  • Jarosław Wiśniewski
    Fano manifolds, varieties with group actions.
  • Henryk Żołądek
    Jacobian conjecture, connections of ODE's with algebraic geometry.