معرفی
Tamás Keleti is a Professor in the Department of Analysis at Eötvös Loránd University (ELTE) in Budapest, Hungary. He has been actively teaching various mathematics courses since at least 2006, including Univariate Analysis, Multivariate Analysis, Real Function Theory, Geometric Measure Theory, and Descriptive Set Theory. His office is located at Pázmány Péter sétány 1/c, Budapest, 1117 Hungary, with contact information including phone (36-1)-209-0555 / ext. 8510.
Professor Keleti's research primarily focuses on Geometric Measure Theory, with special emphasis on Hausdorff Dimension and dimensional properties of sets in Euclidean spaces. His work investigates how dimension behaves under transformations, projections, and other operations, making significant contributions to understanding sets avoiding certain patterns and structures. He has developed deep connections between geometric measure theory, combinatorial geometry, and harmonic analysis.
Analysis of his recent publication record reveals a consistent research trajectory in dimensional properties, with particular attention to Fubini-type theorems for Hausdorff dimension, Kakeya-type problems, and tiling problems with connections to Diophantine approximation. His work often bridges pure mathematical theory with applications in fractal geometry and combinatorial number theory.
Scientific Awards and Achievements:
- Led ELTE's team to win the International Mathematics Competition for University Students in 2007
- Led ELTE's team to win the International Mathematics Competition for University Students in 2008
As an advisor and mentor, Keleti has cultivated exceptional mathematical talent. In the 2007 and 2008 International Mathematics Competitions, his students Endre Csóka, Demeter Kiss, Péter Pál Pach, Roland Paulin, András Béla Rácz, and Balázs Strenner won first prizes, while Márton Hablicsek won a second prize. Several achieved remarkable individual rankings, with Roland Paulin placing 3rd overall and András Béla Rácz 5th in 2008.
Professor Keleti has developed extensive course materials and problem sets for his analysis courses, contributing significantly to mathematics education at ELTE. His teaching spans from introductory analysis for first-year mathematics teacher training students to advanced topics like Geometric Measure Theory and Descriptive Set Theory for specialized students, demonstrating his commitment to both research and education.
