Algebra and Number Theory

Description

Ring theory (mainly associative), module theory, group theory. Lie algebras and related topics. Semigroup theory and universal algebra. Number theory and its applications to cryptography.

Seminars

• Seminar Algebra

Employees and PhD students

• dr hab. Joachim Jelisiejew

  Homologiczne niezmienniki tensorów, algebry i moduły zerowymiarowe, algebry Gorensteina

• dr Łukasz Kubat

  Non-commutative rings, representation theory, Yang–Baxter equation and related structures

• prof. dr hab. Zbigniew Marciniak

  Noncommutative algebra, group rings, cohomology of groups

• dr hab. Tomasz Maszczyk

  Noncommutative geometry

• dr hab. Jerzy Matczuk, prof. UW

  Ring theory, Hopf algebras

• dr Arkadiusz Męcel

  Ring theory, Theory of semigroups, Finite dimensional algebras

• prof. dr hab. Jan Okniński

  Noncommutative rings, theory of semigroups, theory of matrices

• dr Konrad Pióro

  Universal algebra, in particular: theory of partial algebras, lattice theory, subalgebra and congruence lattices of an algebra, graph representation of an algebra

• dr Mikołaj Rotkiewicz

  Lie algebras, graded manifolds, supergeometry

• dr hab. Mariusz Skałba, prof. UW

  Number theory: polynomial and exponential congruences, multiplicative diophantine equations, elliptic curves, arithmetic properties of digital expansions, geometry of numbers

• dr Magdalena Wiertel

  Noncommutative ring theory, semigroup theory, algebraic structures related to the Yang-Baxter equation

• dr Bartosz Źrałek

  Algorithmic number theory, public-key cryptography