معرفی
János Tóth is University Professor and Rector of Selye János University in Komárno, Slovakia. He simultaneously heads the Department of Mathematics within the Faculty of Economics and Informatics.
Education
- 1986 – MSc in Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Bratislava
- 1998 – PhD in Algebra and Number Theory, Faculty of Mathematics and Physics, Comenius University, Bratislava
- 1999 – RNDr. (rigorosum), Constantine the Philosopher University, Nitra
- 1998 – Habilitation (docent), Constantine the Philosopher University, Nitra
- 2018 – Full Professorship (prof.), Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava
Research interests
Professor Tóth’s core research lies in number-theoretic aspects of density and distribution of sequences, including asymptotic and weighted densities, ratio sets and their distribution functions. He has extended these investigations into fuzzy measures and the theory of maldistributed sequences. Parallel to this, he maintains an active line of research in mathematics education, focusing on the didactics of mathematics and informatics at both undergraduate and doctoral levels.
Publication trends
His 126 registered outputs (200+ citations) concentrate on four interconnected strands: (i) asymptotic and weighted densities, (ii) distribution functions of ratio and block sequences, (iii) fuzzy measures and their limit behaviour, and (iv) applications of these theories in Diophantine approximation and probabilistic number theory. The work is published in leading journals such as Acta Arithmetica, Journal of Number Theory, Journal of Mathematical Analysis and Applications and Rocky Mountain Journal of Mathematics.
Grants & leadership
- Principal investigator on VEGA grants 1/4006/07, 1/0753/10, 1/1022/12, KEGA 3/3080/05, APVV SK-HU-0009-08, SK-CZ-0075-11 and others (2005–2023)
- Team member or leader on Czech GAČR projects 201/01/0471, 201/04/0381, 201/07/0199 and on the research intent VZ MSM 6198898701
- Current rector of Selye János University (2025– ) and earlier vice-rector for development (2017–2025)
Laboratories & teams
Professor Tóth leads the research group in Number Theory and Mathematical Analysis at the Department of Mathematics, coordinates the doctoral programme in Theory of Teaching Mathematics and Informatics, and oversees the university-wide research support infrastructure as institutional leader.
