Research interests

My research interests include topics in pure math, including algebraic combinatorics, partition theory and theoretical physics.

Recent Publications

*A Class of S-Restricted Compositions*, Int. Journal of Number Theory, 15 (2) 2019, 361–371 (with M. Glunčić)

* Two infinite families of terminating binomial sums, *Period Math Hung, 75(2), 2017, 244-254

* Algebraic Properties of the Canonical Incidence Matrix of a Biplane, *Discrete Math, 340/12, 2017, 2807-2812

* Two Extensions of the Sury’s Identity*, Amer. Math. Monthly, 123 (9), 2016, p.919.

*Some Families of Identities for the Integer Partition Function*, Math. Commun., 20(2), 2015, 193-200. (with D. Svrtan)

Recent Talks and Seminars

*“Lattice Paths Enumeration and Positive Matrices” *, University of Dubrovnik, Croatia, 2018

*“Enumeration of some families of lattice paths – bijective proofs”, seminar*, Department of Mathematics, University of Zagreb, 2017 abstract, photo.

*“Something new of MacMahon’s theorem on plane partitions”, seminar*, Department of Mathematics, University of Zagreb, 2017 abstract.

*“Symmetric Association Schemes and Finite Geometries” *, 20th Scientific-Professional Colloquium on Geometry and Graphics, Fužine, 2017 abstract.

*“Slutnje o Durfeevim matricama i ekstenzijama MacMachonovog teorema” *, Workshop in graph theory and applications, University of Mostar, 2017 abstract (cro), in media

Contact

University of Zagreb, Faculty of Science

Bijenička c. 32, HR-10000 Zagreb, Croatia

E-mail: imartinjak@phy.hr

Further links

Seminar in Combinatorics and Discrete Mathematics

My publications on arXiv

My publications on Croatian Scientific Bibliography