dr hab. Maciej Ulas, prof. UJ
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Matematyki
- Katedra Geometrii Algebraicznej i Teorii Liczb
Doktorat Otwarcie: 2006-06-26, Zamknięcie: 2008-09-25
Habilitacja Otwarcie: 2015-12-17, Zamknięcie: 2016-04-28
Publikacje:
84.
Binary sequences meet the Fibonacci sequence, Advances in Applied Mathematics vol. 169 (2025), 102914
83.
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
82.
Lajos Hajdu, Florian Luca, Szabolcs Tengely, Maciej Ulas
Products of Catalan numbers which are squares, Archiv der Mathematik vol. 124 (2025), 265–281
81.
80.
79.
Construction of diagonal quintic threefolds with infinitely many rational points, Mathematics of Computation vol. 93 (349) (2024), 2502-2511
78.
On the Diophantine equation \sigma_{2}(X)=\sigma_{n}(X), International Journal of Number Theory vol. 20 (5) (2024), 1287-1306
77.
Geometric progressions in the sets of values of rational functions, Indagationes Mathematicae vol. 35 (4) (2024), 622-637
76.
Representing generalized derangements as sums of three squares, Fibonacci Quarterly vol. 61 (3) (2023), 231-240
75.
Values of Binary Partition Function Represented by a Sum of Three Squares, Results in Mathematics vol. 78 (2023), Article number: 188
74.
Solutions of certain meta-Fibonacci recurrences, Acta Arithmetica vol. 209 (2023), 269-289
73.
Sign behaviour of sums of weighted numbers of partitions, Ramanujan Journal vol. 60 (2023), 571–584
72.
Eryk Lipka, Maciej Ulas
A Fibonacci type sequence with Prouhet-Thue-Morse coefficients, Journal of Difference Equations and Applications vol. 28 (5) (2022), 695-715
71.
Szabolcs Tengely, Maciej Ulas
Diophantine problems related to cyclic cubic and quartic fields, Journal of Number Theory vol. 240 (2022), 656 - 684
70.
Karl Dilcher, Maciej Ulas
Divisibility and Arithmetic Properties of a Class of Sparse Polynomials, Integers vol. 22 (2022), A8
69.
Karl Dilcher, Maciej Ulas
Some Properties of a Class of Sparse Polynomials, Journal of Mathematical Analysis and Applications vol. 505 (1) (2022), 125449
68.
On consecutive 1's in continued fractions expansions of square roots of prime numbers, Experimental Mathematics vol. 31 (1) (2022), 238-251
67.
Szabolcs Tengely, Maciej Ulas
Equal values of certain partition functions via Diophantine equations, Research in Number Theory vol. 7 (4) (2021), Article number: 67, 21 pages
66.
65.
Karl Dilcher, Maciej Ulas
64.
Maciej Ulas, Błażej Żmija
On p-adic valuations of certain m colored p-ary partition functions, Ramanujan Journal vol. 55 (2021), 623-660
63.
Szabolcs Tengely, Maciej Ulas, Jakub Zygadło
On a Diophantine equation of Erdos and Graham, Journal of Number Theory vol. 217 (2020), 445-459
62.
61.
Strong arithmetic property of certain Stern polynomials, Publicationes Mathematicae vol. 96 (3-4) (2020), 401-422
60.
Szabolcs Tengely, Maciej Ulas
On the Diophantine equation $F_n=P(x)$, International Journal of Number Theory vol. 16 (9) (2020), 2095-2111
59.
58.
Homero R. Gallegos-Ruiz, Nikolaos Katspis, Szabolcs Tengely, Maciej Ulas
On the Diophantine equation $\binom{n}{k}=\binom{m}{l}+d$, Journal of Number Theory vol. 208 (2020), 418-440
57.
Maciej Ulas, Błażej Żmija
On arithmetic properties of binary partition polynomials, Advances in Applied Mathematics vol. 110 (2019), 153-179
56.
Pairs of Pythagorean triangles with given ratios between catheti, Rocky Mountain Journal of Mathematics vol. 49 (8) (2019), 2779-2789
55.
54.
53.
Szabolcs Tengely, Maciej Ulas
Power values of sums of certain products of consecutive integers and related results, Journal of Number Theory vol. 197(4) (2019), 341-360
52.
Maciej Ulas, Błażej Żmija
On $p$-adic valuations of colored $p$-ary partitions, Monatshefte für Mathematik vol. 188 (2019), 351-368
51.
50.
Szabolcs Tengely, Maciej Ulas
On a problem of Pethő , Journal of Symbolic Computation vol. 89 (2018), 216-226
49.
48.
Andrew Bremner, Maciej Ulas
On representing coordinates of points on elliptic curves by quadratic forms, Acta Arithmetica vol. 179 (1) (2017), 55-78
47.
Szabolcs Tengely, Maciej Ulas
On certain Diophantine equations of the form z^2 = f(x)^2 ± g(y)^2, Journal of Number Theory vol. 174 (5) (2017), 239–257
46.
Szabolcs Tengely, Maciej Ulas
On products of disjoint blocks of arithmetic progressions and related equations, Journal of Number Theory vol. 165(8) (2016), 67-83
45.
On formal inverse of the Prouhet–Thue–Morse sequence, Discrete Mathematics vol. 339 (5) (2016), 1459-1470
44.
43.
Andrew Bremner, Maciej Ulas
Points at rational distances from the vertices ofcertain geometric objects, Journal of Number Theory vol. 158 (2016), 104–133
42.
Some identities involving the Prouhet–Thue–Morse sequence and its relatives, Acta Mathematica Hungarica vol. 147 (2) (2015), 438-456
41.
Andrew Bremner, Maciej Ulas
Some observations concerning reducibility of quadrinomials, Acta Mathematica Hungarica vol. 145 (2) (2015), 320-349
40.
Some experiments with Ramanujan-Nagell type Diophantine equations, Glasnik Matematicki vol. 49 (2) (2014), 287-302
39.
Rational solutions of certain Diophantine equations involving norms, Acta Arithmetica vol. 165 (1) (2014), 47-56
38.
Andrew Bremner, Ajai Choudhry, Maciej Ulas
Constructions of diagonal quartic and sextic surfaces with infinitely many rational points, International Journal of Number Theory vol. 10 (7) (2014), 1675–1698
37.
On some Diophantine systems involving symmetric polynomials , Mathematics of Computation vol. 83 (2014), 1915-1930
36.
Tomasz Jędrzejak, Maciej Ulas
Variations on twists of tuples of hyperelliptic curves and related results, Journal of Number Theory vol. 137 (4) (2014), 222–240
35.
Andrew Bremner, Maciej Ulas
On certain diophantine equations of diagonal type, Journal of Number Theory vol. 136 (3) (2014), 46-64
34.
Variations on twists of elliptic curves, Rocky Mountain Journal of Mathematics vol. 43 (2) (2013), 645-660
33.
A note on Diophantine systems involving three symmetric polynomials, Journal of Number Theory vol. 133 (10) (2013), 3283-3295
32.
Andrew Bremner, Maciej Ulas
Rational points in geometric progressions on certain hyperelliptic curves, Publicationes Mathematicae vol. 82 / 3-4 (2013), 669-683
31.
30.
Andrzej Dąbrowski, Maciej Ulas
Variations on the Brocard-Ramanujan equation, Journal of Number Theory vol. 133 (4) (2013), 1168-1185
29.
Andrew Bremner, Maciej Ulas
On the reducibility type of trinomials, Acta Arithmetica vol. 153 (4) (2012), 349-372
28.
Gokhan Soydan, Maciej Ulas, Hui Lin Zhu
On the Diophantine equation x^2+2^a19^b=y^n, Indian Journal of Pure and Applied Mathematics vol. 43 (3) (2012), 251-261
27.
26.
25.
Rational points in arithmetic progressions on y2=x^n+k, Canadian Mathematical Bulletin vol. 55 (1) (2012), 193-207
24.
Andrew Bremner, Maciej Ulas
On x^a +- y^b +- z^c +- w^d = 0, 1/a + 1/b + 1/c + 1/d = 1, International Journal of Number Theory vol. 7 (8) (2011), 2081-2090
23.
On certain arithmetic properties of Stern polynomials, Publicationes Mathematicae vol. 79/1-2 (2011), 55-81
22.
Andrew Bremner, Maciej Ulas
Rational points on some hyper- and superelliptic curves, International Journal of Number Theory vol. 7 (1) (2011), 115-132
21.
Tomasz Jędrzejak, Jaap Top , Maciej Ulas
Tuples of hyperelliptic curves y2=x^n+a, Acta Arithmetica vol. 150 (2) (2011), 105-113
20.
19.
Tomasz Jędrzejak, Maciej Ulas
Characterization of the torsion of the Jacobian of y2=x^5+Ax and some applications, Acta Arithmetica vol. 144 (2010), 183-191
18.
Bo He , Alain Togbe, Maciej Ulas
On the diophantine equation z^2=f(x)^2+f(y)^2, II, Bulletin of the Australian Mathematical Society vol. 82 (2) (2010), 187-204
17.
Variations on higher twists of pairs of elliptic curves, International Journal of Number Theory vol. 5 (6) (2010), 1183-1189
16.
A note on higher twists of elliptic curves, Glasgow Mathematical Journal vol. 52 (2010), 371-381
15.
Alain Togbe, Maciej Ulas
On the diophantine equation z^2=f(x)^2pm f(y)^2, Publicationes Mathematicae vol. 76 (1-2) (2010), 183-201
14.
Rational points on certain quintic hypersurfaces, Acta Arithmetica vol. 138 (4) (2009), 347-356
13.
O pewnym kontrprzykładzie, Matematyka-społeczeństwo-nauczanie vol. 43 (7) (2009), 5-9
12.
On arithmetic progressions on genus two curves, Rocky Mountain Journal of Mathematics vol. 39 (3) (2009), 971-980
11.
A note on Sierpiński's question related to triangular numbers, Colloquium Mathematicum vol. 117 (2) (2009), 165-173
10.
On certain diophantine equations related to triangular and tetrahedral numbers, Xi International Workshop for Young Mathematicans, Number Theory, Kraków, 14-20 September 2008 (2009), 211-22
9.
On the diophantine equation (x^2+k)(y^2+k)=(z^2+k)^2, Rocky Mountain Journal of Mathematics vol. 38 (6) (2008), 2091-2099
8.
Rational points on certain del Pezzo surfaces of degree one, Glasgow Mathematical Journal vol. 50 (2008), 557-564
7.
Zastosowanie krzywych eliptycznych w teorii liczb, W Nauka i Biznes: Innowacyjne Projekty Doktorantów Uj, Cittru, Kraków (2007), 165-167
6.
Rational points on certain elliptic surfaces, Acta Arithmetica vol. 129 (2007), 167-185
5.
4.
On the diophantine equation f(x)f(y)=f(z)^2, Colloquium Mathematicum vol. 107 (2007), 1-6
3.
On torsion points on an elliptic curves via division polynomials, UNIV. IAGEL. ACTA MATH. 43 (2005), 103-108
2.
On products of disjoint blocks of consecutive integers, ENSEIGN. MATH. 51 (2005), 331-334
1.
A note on arithmetic progressions on quartic elliptic curves, J. INTEGER SEQ. 8 (2005), np. 3, Article 05.3.1
Konferencje:
31.
Zbigniew Hajto, Krzysztof Nowak, Rafał Czyż, Jakub Byszewski, Wojciech Kucharz, Maciej Ulas, Piotr Miska, Bartosz Sobolewski, Paweł Raźny, Krystian Gajdzica, Ramzen Dzhafarov, Michał Kosiba.
9. Forum Matematyków Polskich, Polskie Towarzystwo Matematyczne, Katowice, Polska, 2024-09-09 - 2024-09-13
30.
“On the Diophantine equation x 3 ± y 3 = a k ± b k, CUNY, New York, USA, 2024-05-22 - 2024-05-24
29.
Southern Regional Number Theory Conference 2024, Louisiana State University Baton Rouge, LA, Lousiana, USA, 2024-03-09 - 2024-03-10
28.
25th Central European Number Theory Conference, Institute of Informatics and Mathematics, University of Sopron, Sopron, Hungary, Sopron, Hungary, 2023-08-28 - 2023-09-01
27.
CANT 2023 (Combinatorial and additive number theory), CUNY, New York, USA, 2023-05-23 - 2023-05-26
26.
Numeration 2023, University of Liège, Institut de mathématiques , Liège, Belgia, 2023-05-22 - 2023-05-26
25.
44th Australasian Combinatorics Conference (44ACC), Combinatorial Mathematics Society of Australasia (CMSA), Otago (online), New Zealand, 2022-12-12 - 2022-12-15
24.
Online Number Theory Seminar, University of Debrecen, Debreczyn, Węgry, 2022-10-14 - 2022-10-14
23.
Curves over finite fields and arithmetic of K3 surfaces, Bernoulli Institute, Rijksuniversiteit Groningen Speakers, Groningen, Holandia, 2022-08-30 - 2022-08-30
22.
Number Theory Conference 2022 In honour of Professors Kálmán Győry, János Pintz and András Sárközy, University of Debrecen, Debrecen, Hungary, 2022-07-04 - 2022-07-08
21.
CANT 2022 (Combinatorial and additive number theory), CUNY, New York (online), USA, 2022-05-24 - 2022-05-27
20.
43rd Australasian Combinatorics Conference, The University of Melbourne, Melbourne (online), Australia, 2021-12-13 - 2021-12-17
19.
Number Theory Down Under 9 , University of Sydney, Sydeny (online), Australia, 2021-09-27 - 2021-09-28
18.
Zbigniew Hajto, Jakub Byszewski, Maciej Ulas, Piotr Miska, Bartosz Sobolewski, Tomasz Kowalczyk, Rouzbeh Mohseni, Krystian Gajdzica.
IV Ogólnopolska Konferencja Naukowa „Oblicza Algebry”, Instytut Matematyki Uniwersytet Pedagogiczny, Kraków, Polska, 2021-05-27 - 2021-05-30
17.
CANT 2021 (Combinatorial and additive number theory), CUNY, New York, USA, 2021-05-24 - 2021-05-27
16.
Zbigniew Hajto, Krzysztof Nowak, Rafał Czyż, Jakub Byszewski, Wojciech Kucharz, Maciej Ulas, Dariusz Zawisza, Żywomir Dinew.
Jubileuszowy Zjazd Matematyków Polskich w stulecie PTM, WMiI UJ, Kraków, Polska, 2019-09-02 - 2019-09-07
15.
Krzysztof Nowak, Jakub Byszewski, Maciej Ulas, Michał Farnik, Piotr Miska, Paweł Bogdan, Bartosz Sobolewski, Błażej Żmija.
III Ogólnopolska Konferencja Naukowa „Oblicza Algebry”, Uniwersytet Pedagogiczny w Krakowie, Kraków, Polska, 2019-06-06 - 2019-06-09
14.
Szczecińskie Kolokwium Matematyczne, PTM oddział w Szczecinie, Szczecin, Polska, 2019-04-04 - 2019-04-05
13.
Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society, SIMAI, UNI i PTM , Wrocław, Polska, 2018-09-17 - 2018-09-20
12.
ALaNT5: Joint Conferences on Algebra, Logic and Number Theory, Uniwersytet Śląski, Będlewo, Polska, 2018-06-24 - 2018-06-29
11.
Wykład im. Anny Zofii Krygowskiej , Instytut Matematyczny UP, Kraków, Polska, 2017-10-26 - 2017-10-26
10.
Number Theory Week 2017 , Faculty of Mathematics and Computer Science, UAM, Poznań, Polska, 2017-09-04 - 2017-09-08
9.
23rd Czech and Slovak International Conference on Number Theory , Mathematical Institute, Slovak Academy of Sciences University of Ostrava, Ostravice, Czech Republic, 2017-08-28 - 2017-09-01
8.
Jakub Byszewski, Wojciech Kucharz, Maciej Ulas, Michał Farnik, Paweł Borówka, Aleksandra Borówka, Piotr Miska, Paweł Bogdan, Bartosz Sobolewski.
Oblicza Algebry II, Uniwersytet Pedagogiczny w Krakowie, Kraków, Polska, 2017-06-01 - 2017-06-03
7.
Prime Numbers and Automatic Sequences : Determinism and Randomness, CIRM, Marsylia, Francja, 2017-05-22 - 2017-05-26
6.
6th Polish Combinatorial Conference, UAM, Będlewo, Polska, 2016-09-19 - 2016-09-23
5.
Toruńska Letnia Szkoła Matematyki, Uniwersytet Mikołaja Kopernika w Toruniu, Toruń, Polska, 2016-08-22 - 2016-08-26
4.
Computational aspects of Diophantine equations, University of Salzburg, Salzburg, Austria, 2016-02-15 - 2016-02-19
3.
22nd Czech and Slovak International Conference on Number Theory, Mathematical Institute, Slovak Academy of Sciences University of Ostrava, Liptovs\'{y} J\'{a}n, Słowacja, 2015-08-30 - 2015-09-04
2.
29-th Journ\'{e}es Arithm\'{e}tiques, University of Debrecen, Debrecen, Hungary, 2015-07-06 - 2015-07-10
1.
Workshop on Modern Applied Mathematics PK 2014, Politechnika Krakowska, Kraków, Polska, 2014-11-21 - 2014-11-23
Konferencje organizowane:
1.
Sesja z Geometrii Arytmetycznej i Teorii Liczb podczas VI Forum Matematyków Polskich , Warszawa, 2015-09-10, 2015-09-10
Doktoranci (po 27 października 2003 roku)
| Doktorant | Otwarcie | Zakonczenie |
|---|---|---|
| Maciej Gawron | 2014-05-29 | 2016-12-22 |
| Piotr Miska | 2018-05-24 | 2020-10-29 |
| Bartosz Sobolewski | 2019-02-28 | 2021-06-24 |
| Błażej Żmija | 2019-02-28 | 2021-10-21 |
| Krystian Gajdzica | 2024-04-30 | 2024-11-07 |
Granty (realizowane po maju 2009 roku)
| Tytuł | Rola | Rozpoczęcie | Zakończenie |
|---|---|---|---|
| Wymiana bilateralna naukowców pomiędzy Rzeczpospolitą Polską a Węgrami | Kierownik | 2023-09-01 | 2024-08-31 |
| „Arytmetyczne własności specjalnych ciągów liczbowych, wielomianów i ułamków łańcuchowych” | Kierownik | 2020-04-10 | 2026-04-09 |
| Arytmetyczne własności binarnych wielomianów partycji | Kierownik | 2017-09-26 | 2018-09-25 |
| Teoria ergodyczna i jej zastosowania w dynamice, arytmetyce i algebrze | Wykonawca | 2013-06-26 | 2019-06-25 |
| Skręcenia krzywych hipereliptycznych i ich zastosowania do ciągów geometrycznych na krzywych | Kierownik | 2012-04-04 | 2014-04-03 |
| Skręcenia trójek krzywych hipereliptycznych | Kierownik | 2011-01-01 | 2011-12-31 |
Nagrody
| Rok | Rodzaj | Rodzaj uhonorowanej działalności | Typ | |
|---|---|---|---|---|
| 2010 | nagroda | działalność naukowa lub naukowo-badawcza | krajowa | Szczegóły |
| 2014 | nagroda | wybitny dorobek naukowy lub artystyczny | krajowa | Szczegóły |
| 2010 | nagroda | osiągnięcia naukowe lub artystyczne | krajowa | Szczegóły |
| 2009 | wyróżnienie | osiągnięcia naukowe lub artystyczne | krajowa | Szczegóły |