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Published papers
- The generalized Fermat equation with exponents 2, 3, n, with Nuno Freitas and Michael Stoll (preprint version), Compositio Mathematica (to appear). (see also a poster for STEM for Britain)
- 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)
- Divisibility sequences of polynomials and heights estimates, New York J. Math. 22 (2016) 989–1020. (preprint version)
- Distribution of Mordell-Weil ranks of families of elliptic curves, Banach Center Publications 108 (2016), 201-229,DOI: 10.4064/bc108-0-16 (preprint version)
- On higher congruences between cusp forms and Eisenstein series in Computations with Modular Forms © Springer-Verlag, Volume 6, 2014, 257-277 (preprint version)
- Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples, Acta Arith. 160 (2013), 159-183 ( preprint version)
- Infinite family of elliptic curves of rank at least 4, Involve, Vol. 3 (2010), No. 3, 297–316 ( preprint version)
Preprints
In preparation
- Diophantine triples and K3 surfaces, with Matija Kazalicki, in preparation
- Geometry of the del Pezzo surface y^2=x^3+Am^6+Bn^6, with Julie Desjardins, in preparation
- On realisations of weight 0 hypergeometric motives of small degrees, in preparation (with Magma package)
Theses
"Rangi w rodzinach krzywych eliptycznych i formy modularne", Ph. D. thesis, 2014
"O pewnym równaniu diofantycznym", M. Sc. thesis, 2010