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Most significant publications

  • Piotr Miska, Maciej Ulas, On consecutive 1's in continued fractions expansions of square roots of prime numbers, Experimental Mathematics 31 (1) (2022), 238-251
  • Szabolcs Tengely, Maciej Ulas, Equal values of certain partition functions via Diophantine equations, Research in Number Theory 7 (4) (2021), Article number: 67, 21 pages
  • Szabolcs Tengely, Maciej Ulas, Jakub Zygadło, On a Diophantine equation of Erdos and Graham, Journal of Number Theory 217 (2020), 445-459
  • Szabolcs Tengely, Maciej Ulas, On the Diophantine equation $F_n=P(x)$, International Journal of Number Theory 16 (9) (2020), 2095-2111
  • Piotr Miska, Maciej Ulas, On some properties of the number of permutations being products of pairwise disjoint d-cycles, Monatshefte für Mathematik 192 (2020), 125-183

Recent publications

  • Krystian Gajdzica, Piotr Miska, Maciej Ulas, On a general approach to Bessenrodt-Ono type inequalities and log-concavity properties, Annals of Combinatorics (2024),
  • Maciej Ulas, Construction of diagonal quintic threefolds with infinitely many rational points, Mathematics of Computation (2024), accepted
  • Piotr Miska, Maciej Ulas, On the Diophantine equation \sigma_{2}(X)=\sigma_{n}(X), International Journal of Number Theory 20 (5) (2024), 1287-1306
  • Maciej Ulas, Geometric progressions in the sets of values of rational functions, Indagationes Mathematicae 35 (4) (2023), 622-637
  • Maciej Ulas, Representing generalized derangements as sums of three squares, Fibonacci Quarterly 61 (3) (2023), 231-240

Interests

My research interests focus on number theory and its applications. In particular, I deal with the problems related to the existence and characterization of rational and integer points on algebraic varietes of diophantine origin. I am also researching number sequences of combinatorial origin.

Major awards and honours

  • Stypendium Ministra Nauki i Szkolnictwa Wyższego dla wybitnych młodych naukowców, 2014, Minister Nauki i Szkolnictwa Wyższego
avatar for Maciej Ulas

Maciej Ulas

academic degree/title Doctor of Science position
research and faculty staff member group, university professor
unit
  • Department of Algebraic Geometry and Number Theory
  • Institute of Mathematics
ORCID
0000-0002-1927-4453
contact
maciej.ulas@uj.edu.pl