Algebraic Topology

Description

Algebraic K-theory, homotopy theory, topology of transformation groups, homological algebra, knot theory and topology of algebraic varieties.

Seminars

• Seminar Algebraic Topology

Employees and PhD students

• prof. dr hab. Stanisław Betley

  Algebraic K-theory, homotopy theory and homological algebra in functor categories

• dr hab. Marcin Chałupnik

  Homological algebra and representation theory, in particular homological properties of modular representations of general linear groups via functor categories

• prof. dr hab. Stefan Jackowski

  Homotopy theory of classifying spaces of compact Lie groups and related spaces, homological algebra in functor categories, equivariant topology

• dr Andrzej Kozłowski

  Homotopy theory of classifying spaces of holomorphic and algebraic transformations

• dr Piotr Kucharski

  Knot theory, string theory, quantum topology, knot-quiver correspondence

• dr hab. Tomasz Maszczyk
• dr Bruno Stonek

  Stable homotopy theory (algebra over ring spectra), abstract homotopy theory (∞-categories, model categories)

• dr hab. Andrzej Weber, prof. UW

  Topology of algebraic varieties: in particular intersection homology, weight filtration, equivariant cohomology, Thom polynomials and other homological or numerical invariants of singularities

• dr Olga Ziemiańska

  Homotopy theory and group actions; geometric group theory

• dr Krzysztof Ziemiański

  Homotopy theory of classifying spaces of compact Lie groups, combinatorial topology , directed algebraic topology, knot theory