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# Research

## GENERAL FACTS

- Publications in highly ranked international research journals
- Teaching of the university and doctoral students in Mathematics, Engineering, and Computer Science
- International relations, cooperations, and incoming guests with European, US, and international (Brazil, China, etc.) partners
- The team led by G.P. Nagy (head of the department) won Gold Medal at the Seventh International Olympiad in Cryptography NSUCRYPTO’2020 and NSUCRYPTO'2021, in the professional category

## DOMAINS OF INTEREST

- The mathematical theory of coding theory and cryptography
- Abstract algebra, group theory, number theory, mathematical logic
- Computational algebra, algorithms, complexity theory
- Mathematical and computer linguistics, language technologies

## Selected publications

- G. Korchmáros, G. P. Nagy and M. Timpanella, "Codes and gap sequences of Hermitian curves," in IEEE Transactions on Information Theory (2020).
- Ivanyos, Gábor; Kutas, Péter; Rónyai, Lajos, "Computing explicit isomorphisms with full matrix algebras over $\mathbb{F}_q(x)$," Foundations of Compututations and Mathematics 18 (2018), no. 2, 381–397.
- Kornai, András (2018) "Truth or dare. In: Tokens of Meaning: Papers in Honor of Lauri Karttunen." CSLI Publications, Stanford (CA).
- T. Breuer, L. Héthelyi, E. Horváth, B. Külshammer. "The Loewy structure of certain fixpoint algebras, Part I." Journal of Algebra 558 (2020).
- Kiss, Sándor; Sándor, Csaba, "Generalized asymptotic Sidon basis," Discrete Mathematics 344 (2021).

## PROJECTS

- 2016-2021: Algebra and algorithms (pricipal invesigator Lajos Rónyai) NKFIH-OTKA 115288