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Wizytówka - Wydział Matematyki i Informatyki

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

  • Maciej Ulas, On the Diophantine equation x^3\pmy^3=a^k\pmb^k, Proceedings of the American Mathematical Society 154 (2026), 913-925
  • Piotr Miska, Bartosz Sobolewski, Maciej Ulas, Binary sequences meet the Fibonacci sequence, Advances in Applied Mathematics 169 (2025), 102914
  • Bartosz Głowacki, Maciej Ulas, Geometric progressions in the sets of values of reducible cubic forms, vol. Springer Proceedings in Mathematics & Statistics 464 (2025), "Combinatorial and Additive Number Theory VI", Springer
  • Lajos Hajdu, Florian Luca, Szabolcs Tengely, Maciej Ulas, Products of Catalan numbers which are squares, Archiv der Mathematik 124 (2025), 265-281
  • Filip Gawron, Maciej Ulas, Signs behaviour of sums of weighted numbers of compositions, Ramanujan Journal 66 (2025), 32

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