I am an Associate Professor at the University of Split, Faculty of Science.

My current research is focused on Diophantine equations, specifically on Diophantine m-tuples and related problems.

For more info on the Diophantine m-tuples problem: Andrej Dujella's Diophantine m-tuples website

Publications

• M. Bliznac, A. Filipin, An upper bound for the number of Diophantine quintuples, Bull. Aust. Math. Soc. 94 (2016), 384-394. doi:10.1017/S0004972716000423
• M. Bliznac TrebjeÅ¡anin, A. Filipin, A. Jurasić, On the polynomial quadruples with the property D(-1;1), Tokyo J. Math. 41 (2018), 527-540. doi:10.3836/tjm/1502179250
• M. Bliznac TrebjeÅ¡anin, A. Filipin, Nonexistence of D(4)-quintuples, J. Number Theory 194 (2019), 170-217 doi:10.1016/j.jnt.2018.07.013
• M. Bliznac TrebjeÅ¡anin, Extension of a Diophantine triple with the property D(4), Acta Math. Hungar. 163 (2021), 213-246. doi:10.1007/s10474-020-01128-0
• M. Bliznac TrebjeÅ¡anin, D(4)-triples with two largest elements in common, Mathematica Slovaca 73, no. 2 (2023), 343-352 doi.org/10.1515/ms-2023-0027
• K. N. Adedji, M. Bliznac TrebjeÅ¡anin, A. Filipin and A. Togbe, On the D(4)-pairs {a, ka} with k in {2,3,6}, Glas. Mat. Ser. III 58 (2023), 35-57. doi:10.3336/gm.58.1.03, doi:10.3336/gm.58.1.03.
• M. Bliznac TrebjeÅ¡anin and S. Bujacic Babic Polynomial D(4)-quadruples over Gaussian Integers, Glas. Mat. Ser. III 59 (2024), 1-31., doi:10.3336/gm.59.1.01
• K. N. Adedji and M. Bliznac TrebjeÅ¡anin, On Mixed Concatenations of Pell and Pell-Lucas Numbers which are Pell Numbers, Mathematica Pannonica 30 (2024), 91-104., doi:10.1556/314.2024.00010
• M. Bliznac TrebjeÅ¡anin and P. Radic, On extensions of D(4)-triples by adjoining smaller elements , Publicationes Mathematicae Debrecen, accepted for publication arxiv preprint