Algebra and Number Theory

Description

Ring theory (mainly associative), module theory, group theory, semigroup theory and number theory. Lattice theoretical approach to algebraic structures and other branches of universal algebra, including partial algebras.

Seminars

• Seminar Algebra

Employees and PhD students

• dr hab. Norbert Dojer

  Universal algebra, term rewriting

• dr Łukasz Kubat

  Noncommutative rings, representation theory, homological algebra

• 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

• prof. dr hab. Jacek Pomykała

  Elementary and analytic number theory, cryptography, some aspects of computational complexity theory

• 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 Andrzej Strojnowski

  Group rings, group theory

• dr Bartosz Źrałek

  Algorithmic number theory, public-key cryptography