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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
Int. J. Number Theory, 4 (2008), 171176
 Zeros of certain Drinfeld modular functions
J. Number Theory, 128 (2008), 16621669
 2adic and 3adic part of class numbers and properties of central values of $L$functions
Acta Arith., 147 (2011), 5172
 2adic properties of modular functions associated to Fermat curves
Proc. Amer. Math. Soc., 139 (2011), 12; 42654271
 Congruent numbers and congruences between halfintegral weight modular forms
J. Number Theory, 133 (2013), 4; 10791085
 Modular forms, hypergeometric functions and congruences
Ramanujan J., 34 (2014), 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 Arith., 163 (2014), 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, 227235.
 Diophantine mtuples in finite fields and modular forms (joint with A. Dujella)
Res. number theory 7, 3 (2021). https://doi.org/10.1007/s4099302000232y
 On a special case of Watkins' conjecture (joint with D. Kohen)correction
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
 Congruences for sporadic sequences and modular forms for noncongruence subgroups
Res Math Sci (2019) 6: 28. https://doi.org/10.1007/s4068701901913
 There are infinitely many rational Diophantine sextuples with square denominators (joint with A. Dujella and V. Petricevic)
J. Number Theory, 205 (2019), 340346.
 Rational Diophantine sextuples containing two regular quadruples and one regular quintuple (joint with A. Dujella and V. Petricevic)
Acta Mathematica Spalatensia 1 (2021), 1927.
 Rational D(q)quadruples(joint with G. Drazic)
Indag. Math. (N.S.), Volume 33, Issue 2, March 2022, Pages 440449
 D(n)quintuples with square elements (joint with A. Dujella and V. Petricevic)
Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 115 (2021), Article 172
 Second moments and the bias conjecture for the family of cubic pencils (joint with B. Naskrecki)
preprint
 Diophantine triples and K3 surfaces (joint with B. Naskrecki,appendix by L. Lasic)
J. Number Theory, 236 (2021), 4170, https://doi.org/10.1016/j.jnt.2021.07.009
 Elliptic curves with torsion groups Z/8Z and Z/2Z × Z/6Z (joint with A. Dujella and J. C. Peral)
Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 115 (2021), Article 169
 Ranks of elliptic curves and deep neural networks (joint with D. Vlah)
Res. number theory 9, 53 (2023). https://doi.org/10.1007/s4099302300462w
 Quadratic twists of genus one curves and Diophantine quintuples
preprint
 Rational Diophantine sextuples with strong pair (joint with A. Dujella and V. Petricevic)
preprint
 Murmurations of MestreNagao sums (joint with Z. Bujanovic and L. Novak)
IJDSMS Volume No. 02, Issue No. 01, pp. 51  61, (2024)


