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research interests
~ connection between the arithmetic of Fourier coefficients of modular forms (for noncongruence subgroups) and algebraic geometry (Atkin and SwinnertonDyer congruences)
~ elliptic curves, modular forms and Galois representations
~ rational Diophantine mtuples


papers
 Linear relations for coefficients of Drinfeld modular forms
International Journal of Number Theory, 4 (2008), pp. 171176
 Zeros of certain Drinfeld modular functions
Journal of Number Theory, 128 (2008), pp. 16621669
 2adic and 3adic part of class numbers and properties of central values of $L$functions
Acta Arithmetica, 147 (2011), pp. 5172
 2adic properties of modular functions associated to Fermat curves
Proceedings of AMS, 139 (2011), 12; pp. 42654271
 Congruent numbers and congruences between halfintegral weight modular forms
Journal of number theory, 133 (2013), 4;pp. 10791085
 Modular forms, hypergeometric functions and congruences
The Ramanujan Journal, 34 (2014), pp. 19
 Modular forms, de Rham cohomology and congruences (joint with A.J. Scholl)
Trans. Amer. Math. Soc. 368 (2016), 70977117
 Modular parametrizations of certain elliptic curves (joint with Y. Sakai and K. Tasaka)
Acta Arithmetica, 163 (2014), pp. 3343
 There are infinitely many rational Diophantine sextuples (joint with A. Dujella, M. Mikic and M. Szikszai )
Int. Math. Res. Not. IMRN 2017 (2) (2017), 490508.
 More on Diophantine sextuples (joint with A. Dujella)
in Number Theory  Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday (C. Elsholtz, P. Grabner, Eds.), SpringerVerlag, Berlin, 2017, pp. 227235.
 Diophantine mtuples in finite fields and modular forms (joint with A. Dujella)
preprint
 On a special case of Watkins' conjecture (joint with D. Kohen)
Proc. Amer. Math. Soc. 146 (2018), 541545
 Supersingular zeros of divisor polynomials of elliptic curves of prime conductor (joint with D. Kohen)
Res Math Sci (2017) 4: 10. https://doi.org/10.1186/s4068701700998


