Publications

1. On higher congruences between cusp forms and Eisenstein series II, to appear in Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017, Springer, 2019 (preprint version)
2. Divisibility sequences of polynomials and heights estimates, New York J. Math. 22 (2016) 989–1020. (preprint version)
3. 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)
4. On higher congruences between cusp forms and Eisenstein series in Computations with Modular Forms © Springer-Verlag, Volume 6, 2014, 257-277 (preprint version)
5. Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples,Acta Arith. 160 (2013), 159-183 ( preprint version)
6. Infinite family of elliptic curves of rank at least 4, Involve, Vol. 3 (2010), No. 3, 297–316 ( preprint version)

1. Primitive divisors of elliptic divisiblity sequences over function fields with constant j-invariant, with Marco Streng, in preparation
2. On realisations of weight 0 hypergeometric motives of small degrees, in preparation (with Magma package)
3. On a certain hypergeometric motive of weight 2 and rank 3, submitted (preprint)
4. The generalized Fermat equation with exponents 2, 3, n, with Nuno Freitas and Michael Stoll (preprint), submitted. See also a poster for STEM for Britain
5. Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms, submitted (preprint)

Ph. D. thesis (Polish)

M. Sc. thesis (Polish)

1. Enchained in Markov chains in Proceedings of 12th International Workshop for Young Mathematicians "Probability Theory and Statistics" , Kraków, Poland, 2009
2. Elliptic curves cryptography in Proceedings of 11th International Workshop for Young Mathematicians "Number Theory", Kraków, Poland, 2008

1. Numerical Integration using Rectangles, the Trapezoidal Rule, or Simpson's Rule from The Wolfram Demonstrations Project
2. Motion of a Simple Pendulum with Damping from The Wolfram Demonstrations Project
3. Work in an Attractive Inverse-Square Field" from The Wolfram Demonstrations Project
4. Driven Damped Oscillator with Resonance Effect" from The Wolfram Demonstrations Project