The research at our department covers various topics in algebra, mathematical logic, number theory and their applications in computer science. Below, there is a list our major research topics, including contact persons, grant projects and links to specialized seminars. Contacts and specializations of our staff can be found in section People.

Homological algebra and representation theory

  • contact persons: Jan Trlifaj, Jan Šťovíček, Liran Shaul
  • seminars: Algebra seminar, Commutative homological algebra seminar
  • grants: [GAČR] Symmetry, dualities and approximations in derived algebraic geometry and representation theory (Jan Šťovíček), [GAČR Junior] Cohen-Macaulay rings and their applications in higher algebra and topology (Liran Shaul)

Universal algebra, mathematical logic and computational complexity

Number theory

  • contact person: Víťa Kala
  • seminars: Number Theory Seminar
  • grants: [GAČR Junior Star] Universal quadratic forms and class numbers (Víťa Kala), [Primus] Universal quadratic forms: geometry and analysis (Víťa Kala), [GAUK] Number systems in lattices and number field orders (Jakub Krásenský)

Nonassociative algebraic structures

Computational aspects of algebra and geometry

  • contact persons: Štěpán Holub (words, formalization), Faruk Göloglu (cryptography), Zuzaná Patáková (computational geometry)
  • seminars: Seminar on combinatorial, algorithmic and finitary algebra
  • grants: [GAČR] Formalization of combinatorics on words (Štěpán Holub), [GAČR] Cryptography based on finite fields (Faruk Göloglu), [Primus] Algebraic methods in discrete geometry and topology (Zuzana Patáková)

The Department of Algebra participates on several institutional projects: UNCE for young researchers (Jan Krajíček), SVV for doctoral students (Jan Žemlička), Progres Q-49 for the development of the school of mathematics (Vít Dolejší).