1. Growth functions of periodic space tessellations, with Jakub Malinowski, Zbigniew Dauter and Mariusz Jaskolski, Acta Crystallogr., Sect. A: Found. Adv. (2025), Vol. 81, No. 1, 1-18. (open access)
2. Common valuations of division polynomials, with Matteo Verzobio, Proc. A. R. Soc. Edinb. Published online 2024:1-15.(open access)
3. Geometry of the del Pezzo surface y^2=x^3+Am^6+Bn^6, with Julie Desjardins, Ann. Inst. Fourier no. 32 (0) p. 1-44 (open access+code)
4. The Euler characteristic as a basis for teaching topology concepts to crystallographers, with Zbigniew Dauter and Mariusz Jaskólski, J. Appl. Cryst., (2022), Vol. 55, 154-167. (open access)
5. Diophantine triples and K3 surfaces, with Matija Kazalicki, J. Number Theory (2022), Vol. 236, 41-70 (open access)
6. A topological proof of the modified Euler characteristic based on the orbifold concept, with Zbigniew Dauter and Mariusz Jaskólski, Acta Crystallogr., Sect. A: Found. Adv. (2021), Vol.7, No. 4, 317-326. (open access)
7. Arithmetic proof of the multiplicity-weighted Euler characteristic for symmetrically arranged space-filling polyhedra, with Zbigniew Dauter and Mariusz Jaskólski, Acta Crystallogr., Sect. A: Found. Adv. (2021), Vol.7, No. 2, 126-129. (open access)
8. Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell-Yan scattering, with Marco Besier, Dino Festi and Michael Harrison, Commun. Number Theory Phys. (2020), Vol. 14, No. 4, 863-911. (preprint version+ code)
9. Primitive divisors of elliptic divisiblity sequences over function fields with constant j-invariant, with Marco Streng, J. Number Theory (2020), Vol. 213, 152-186. (open access)
10. The generalized Fermat equation with exponents 2, 3, n, with Nuno Freitas and Michael Stoll, Compos. Math., Vol. 156 (1) (2020), 77-113. (see also a poster for STEM for Britain) (preprint version)
11. On higher congruences between cusp forms and Eisenstein series II, Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017, Birkhäuser, 2019 (preprint version)
12. Divisibility sequences of polynomials and heights estimates, New York J. Math. 22 (2016), 989-1020. (open access)
13. Distribution of Mordell-Weil ranks of families of elliptic curves, Banach Center Publ. 108 (2016), 201-229.(preprint version)
14. On higher congruences between cusp forms and Eisenstein series in Computations with Modular Forms © Springer-Verlag, Volume 6 (2014), 257-277. (preprint version)
15. Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples, Acta Arith. 160 (2013), 159-183. (open access)
16. Infinite family of elliptic curves of rank at least 4, Involve, Vol. 3, No. 3 (2010), 297–316 (open access)

1. On the geography of log-surfaces, with Piotr Pokora, submitted (preprint)
2. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve, with Stefan Barańczuk and Matteo Verzobio, submitted (preprint)
3. Explicit equations of 800 conics on a Barth-Bauer quartic, submitted(preprint)
4. Second moments and the bias conjecture for the family of cubic pencils, with Matija Kazalicki, submitted (preprint+code)
5. On a certain hypergeometric motive of weight 2 and rank 3, submitted (preprint)
6. Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms, submitted (preprint)

• Czym jest szyfrowanie? (ACADEMIA (2023) No. 4 (76) pp. 18-21)
• Jej wysokość krzywa eliptyczna (Delta (2024) No. 5 (600) pp. 16-19)

1. Equiangular lines and an elliptic surface, with Dan Fretwell and Neil I. Gillespie, in preparation
2. On realisations of weight 0 hypergeometric motives of small degrees, in preparation (with Magma package)

"Rangi w rodzinach krzywych eliptycznych i formy modularne", Ph. D. thesis, 2014

"O pewnym równaniu diofantycznym", M. Sc. thesis, 2010