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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.


Employees and PhD students

  • dr hab. Maciej Borodzik

    Curves on surfaces, deformations of curves singularities, connections with knot theory, lattice homology

  • dr Weronika Buczyńska

    Toric geometry, secant varieties, rank of tensors

  • dr Maria Donten-Bury

    Cox rings, resolution of singularities, hyperkaehler manifolds, combinatorial algebraic geometry

  • dr hab. Joachim Jelisiejew

    Finite schemes, Hilbert chemes, tropical geometry

  • dr Oskar Kędzierski

    Toric geometry, G-Hilbert schemes, quiver representations

  • prof. dr hab. Adrian Langer

    Moduli spaces, surfaces and higher dimensional varieties, algebraic geometry over fields of positive characteristic

  • dr hab. Tomasz Maszczyk

    Complex algebraic geometry, non-commutative geometry

  • dr hab. Andrzej Weber, prof. UW

    Topology of algebraic varieties: intersection cohomology, weight filtration, equivariant cohomology, Thom polynomials and equivariant characteristic classes of singularities

  • prof. dr hab. Jarosław Wiśniewski

    Fano manifolds, varieties with group actions.

  • prof. dr hab. Henryk Żołądek

    Jacobian conjecture, connections of ODE's with algebraic geometry.