G. Korchmáros, G. P. Nagy, M. Timpanella: Codes and gap sequences of Hermitian curves. IEEE Transactions on Information Theory, 2020.
G. Ivanyos, P. Kutas, L. Rónyai: Computing explicit isomorphisms with full matrix algebras over Fq(x). Foundations of Computational Mathematics 18(2), 381–397, 2018.
A. Kornai: Truth or dare. Tokens of Meaning: Papers in Honor of Lauri Karttunen, CSLI Publications, 2018.
T. Breuer, L. Héthelyi, E. Horváth, B. Külshammer: The Loewy structure of certain fixpoint algebras, Part I. Journal of Algebra 558, 2020.
Four closely connected research directions — from the theory of abstract structures to algorithms and language technology applications.
01
Coding theory and cryptography
The connection of codes and finite geometries, codes associated with Hermitian curves and their gap sequences, and the mathematical background of cryptographic constructions.
02
Abstract algebra and logic
Group theory and group representations, semigroup theory, number theory, mathematical logic and automorphism groups of homogeneous structures.
03
Computer algebra
Algorithms for algebraic and arithmetic structures, computing explicit isomorphisms, complexity theory.
04
Mathematical linguistics
Mathematical and computational linguistics, language technology, word embeddings and meaning representation.