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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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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

Employees

  • Universal algebra, in particular: theory of partial algebras, lattice theory, subalgebra and congruence lattices of an algebra
  • Universal algebra, term rewriting
  • Ring theory; selected problems in group theory and number theory
  • Noncommutative rings, representation theory, homological algebra
  • Noncommutative algebra, group rings, cohomology of groups
  • Noncommutative geometry
  • Ring theory, Hopf algebras
  • Ring theory, Theory of semigroups, Finite dimensional algebras
  • Noncommutative rings, theory of semigroups, theory of matrices
  • Universal algebra, in particular: theory of partial algebras, lattice theory, subalgebra and congruence lattices of an algebra, graph representation of an algebra
  • Elementary and analytic number theory, cryptography, some aspects of computational complexity theory
  • Associative rings, theory of modules and lattices
  • Lie algebras, graded manifolds, supergeometry
  • Operator algebras, topological quantum groups
  • Number theory: polynomial and exponential congruences, multiplicative diophantine equations, elliptic curves, arithmetic properties of digital expansions, geometry of numbers
  • Group rings, group theory
  • Algebra, ring and group theory
  • Algorithmic number theory, public-key cryptography