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:
66.
Szabolcs Tengely, Maciej Ulas, Jakub Zygadło
On a Diophantine equation of Erdos and Graham, J NUMBER THEORY vol. 217 (2020), 445-459
65.
64.
63.
Strong arithmetic property of certain Stern polynomials, PUBL MATH-DEBRECEN vol. 96 (3-4) (2020), 401-422
62.
Szabolcs Tengely, Maciej Ulas
On the Diophantine equation $F_n=P(x)$, INT J NUMBER THEORY vol. 16 (9) (2020), 2095-2111
61.
60.
59.
Homero R. Gallegos-Ruiz, Nikolaos Katspis, Szabolcs Tengely, Maciej Ulas
On the Diophantine equation $\binom{n}{k}=\binom{m}{l}+d$, J NUMBER THEORY vol. 208 (2020), 418-440
58.
On arithmetic properties of binary partition polynomials, ADV APPL MATH vol. 110 (2019), 153-179
57.
Pairs of Pythagorean triangles with given ratios between catheti, ROCKY MT J MATH vol. 49 (8) (2019), 2779-2789
56.
55.
Is every irreducible polynomial reducible after a polynomial substitution?, J NUMBER THEORY vol. 202 (2019), 37-59
54.
2-adic valuations of coefficients of certain integer powers of formal power series, INT J NUMBER THEORY vol. 15 (4) (2019), 723–762
53.
Szabolcs Tengely, Maciej Ulas
Power values of sums of certain products of consecutive integers and related results, J NUMBER THEORY vol. 197(4) (2019), 341-360
52.
On $p$-adic valuations of colored $p$-ary partitions, MONATSH MATH vol. 188 (2019), 351-368
51.
50.
Szabolcs Tengely, Maciej Ulas
On a problem of Pethő , J SYMB COMPUT vol. 89 (2018), 216-226
49.
48.
Andrew Bremner, Maciej Ulas
On representing coordinates of points on elliptic curves by quadratic forms, ACTA ARITH 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, J NUMBER THEORY vol. 174 (5) (2017), 239–257
46.
Szabolcs Tengely, Maciej Ulas
On products of disjoint blocks of arithmetic progressions and related equations, J NUMBER THEORY vol. 165(8) (2016), 67-83
45.
On formal inverse of the Prouhet–Thue–Morse sequence, DISCRETE MATH vol. 339 (5) (2016), 1459-1470
44.
43.
Andrew Bremner, Maciej Ulas
Points at rational distances from the vertices ofcertain geometric objects, J NUMBER THEORY vol. 158 (2016), 104–133
42.
Some identities involving the Prouhet–Thue–Morse sequence and its relatives, ACTA MATH HUNG vol. 147 (2) (2015), 438-456
41.
Andrew Bremner, Maciej Ulas
Some observations concerning reducibility of quadrinomials, ACTA MATH HUNG vol. 145 (2) (2015), 320-349
40.
Some experiments with Ramanujan-Nagell type Diophantine equations, GLAS MAT vol. 49 (2) (2014), 287-302
39.
Rational solutions of certain Diophantine equations involving norms, ACTA ARITH 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, INT J NUMBER THEORY vol. 10 (7) (2014), 1675–1698
37.
On some Diophantine systems involving symmetric polynomials , MATH COMPUT vol. 83 (2014), 1915-1930
36.
Tomasz Jędrzejak, Maciej Ulas
Variations on twists of tuples of hyperelliptic curves and related results, J NUMBER THEORY vol. 137 (4) (2014), 222–240
35.
Andrew Bremner, Maciej Ulas
On certain diophantine equations of diagonal type, J NUMBER THEORY vol. 136 (3) (2014), 46-64
34.
Variations on twists of elliptic curves, ROCKY MT J MATH vol. 43 (2) (2013), 645-660
33.
A note on Diophantine systems involving three symmetric polynomials, J NUMBER THEORY vol. 133 (10) (2013), 3283-3295
32.
Andrew Bremner, Maciej Ulas
Rational points in geometric progressions on certain hyperelliptic curves, PUBL MATH-DEBRECEN vol. 82 / 3-4 (2013), 669-683
31.
30.
Andrzej Dąbrowski, Maciej Ulas
Variations on the Brocard-Ramanujan equation, J NUMBER THEORY vol. 133 (4) (2013), 1168-1185
29.
Andrew Bremner, Maciej Ulas
On the reducibility type of trinomials, ACTA ARITH 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 J PURE AP MAT vol. 43 (3) (2012), 251-261
27.
Arithmetic properties of the sequence of degrees of Stern polynomials and related results, INT J NUMBER THEORY vol. 8 (3) (2012), 669-687
26.
Some observations on the Diophantine equation y^2=x!+A and related results, B AUST MATH SOC vol. 86 (3) (2012), 377-388
25.
Rational points in arithmetic progressions on y2=x^n+k, CAN MATH BULL 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, INT J NUMBER THEORY vol. 7 (8) (2011), 2081-2090
23.
On certain arithmetic properties of Stern polynomials, PUBL MATH-DEBRECEN vol. 79/1-2 (2011), 55-81
22.
Andrew Bremner, Maciej Ulas
Rational points on some hyper- and superelliptic curves, INT J NUMBER THEORY vol. 7 (1) (2011), 115-132
21.
Tomasz Jędrzejak, Jaap Top , Maciej Ulas
Tuples of hyperelliptic curves y2=x^n+a, ACTA ARITH vol. 150 (2) (2011), 105-113
20.
On certain Diophantine systems with infinitely many parametric solutions and applications, ACTA ARITH vol. 145 (2010), 305-313
19.
Tomasz Jędrzejak, Maciej Ulas
Characterization of the torsion of the Jacobian of y2=x^5+Ax and some applications, ACTA ARITH 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, B AUST MATH SOC vol. 82 (2) (2010), 187-204
17.
Variations on higher twists of pairs of elliptic curves, INT J NUMBER THEORY vol. 5 (6) (2010), 1183-1189
16.
A note on higher twists of elliptic curves, GLASGOW MATH J vol. 52 (2010), 371-381
15.
Alain Togbe, Maciej Ulas
On the diophantine equation z^2=f(x)^2pm f(y)^2, PUBL MATH-DEBRECEN vol. 76 (1-2) (2010), 183-201
14.
Rational points on certain quintic hypersurfaces, ACTA ARITH 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 MT J MATH vol. 39 (3) (2009), 971-980
11.
A note on Sierpiński's question related to triangular numbers, COLLOQ MATH-WARSAW 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 MT J MATH vol. 38 (6) (2008), 2091-2099
8.
Rational points on certain del Pezzo surfaces of degree one, GLASGOW MATH J 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 ARITH vol. 129 (2007), 167-185
5.
4.
On the diophantine equation f(x)f(y)=f(z)^2, COLLOQ MATH-WARSAW 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:
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 | |
| Błażej Żmija | 2019-02-28 |
Granty (realizowane po maju 2009 roku)
| Tytuł | Rola | Rozpoczęcie | Zakończenie |
|---|---|---|---|
| Arithmetic properties of special sequences, polynomials and continued fractions | Kierownik | 2020-04-10 | 2025-04-09 |
| 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 | |
|---|---|---|---|---|
| 2014 | nagroda | wybitny dorobek naukowy lub artystyczny | krajowa | Szczegóły |