I am an assistant professor in the Department of Mathematical Sciences at the
University of Montana. Previously I was a visiting assistant professor at University of Illinois at Urbana-Champaign. Before that
I was a junior research fellow at Alfréd Rényi Institute of Mathematics in Budapest, Hungary.

My general areas of research are graph theory and combinatorics.

### Current Teaching - Fall 2016

Math 225 - Introduction to Discrete Mathematics
(past teaching)
### Papers

On the number of cycles in a graph with restricted cycle lengths (with D. Gerbner, B. Keszegh and B. Patkós)

submitted (2016)
Generalising separating families of fixed size (with F. Benevides, D. Gerbner and D. Vu)

submitted (2015)
Extremal results for Berge-hypergraphs (with D. Gerbner)

submitted (2015)
Rainbow Turán problems for paths and forests of stars (with D. Johnston and A. Sarkar)

*Electronic Journal of Combinatorics*, **24** (2017) pg. 15
Topological orderings of weighted directed acyclic graphs (with D. Gerbner, B. Keszegh and D. Pálvölgyi)

*Information Processing Letters*, **116** (2016) 564-568
Rainbow copies of $C_4$ in edge-colored hypercubes (with J. Balogh, M. Delcourt and B. Lidický)

*Discrete Applied Mathematics*, **210** (2016) 35-37
On the tree packing conjecture (with J. Balogh)

*SIAM Journal on Discrete Mathematics*, **27** (2013) 1995-2006
On the Turán number of forests (with B. Lidický and H. Liu)

*Electronic Journal of Combinatorics*, **20** (2013) pg. 13
The biased odd cycle game (with A. Ferber, R. Glebov, M. Krivelevich, H. Liu, T. Valla and M. Vizer)

*Electronic Journal of Combinatorics* **20** (2013) pg. 10
Saturating Sperner families (with D. Gerbner, B. Keszegh, N. Lemons, D. Pálvölgyi and B. Patkós)

*Graphs and Combinatorics* **29** (2013) 1355-1364
Almost cross-intersecting and almost cross-Sperner pairs of families of sets (with D. Gerbner, N. Lemons, B. Patkós, D. Pálvölgyi and V. Szécsi)

*Graphs and Combinatorics* **29** (2013) 489-498
Almost intersecting families of sets (with D. Gerbner, N. Lemons, B. Patkós and V. Szécsi)

*SIAM Journal on Discrete Mathematics* **26** (2012) 1657-1669
Irregular labellings of circulant graphs (with M. Anholcer)

*Discrete Math.* **312** (2012) 3461-3466
Generalizations of the tree packing conjecture (with D. Gerbner and B. Keszegh)

*Discussiones Mathematicae Graph Theory* **32** (2012) 569-582
Two-part set systems (with D. Gerbner, P. L. Erdős, N. Lemons, D. Mubayi and B. Patkós)

*Electronic Journal of Combinatorics* **19** (2012) pg. 10
Cross-Sperner families (with D. Gerbner, N. Lemons, B. Patkós and V. Szécsi)

*Studia Sci. Math. Hungarica.* **49** (2012) 44-51
Polychromatic colorings of arbitrary rectangular partitions (with D. Gerbner, B. Keszegh, N. Lemons, D. Pálvölgyi and B. Patkós)

*Discrete Math.* **310** (2010) 21-30
Additive properties of two general sequences (with F. Benevides, J. Hulgan, N. Lemons, A. Riet and J.P. Wheeler)

*Acta Arithmetica* **139** (2009) 185-197
A new type of edge-derived vertex coloring (with E. Győri)

*Discrete Math.* **309** (2009) 6344-6352
General neighbour-distinguishing index of a graph (with E. Győri, M. Horňák, and M. Woźniak)

*Discrete Math.* **308** (2008) 827-831
The unbalance of set systems (with N. Lemons)

*Graphs and Combinatorics* **24** (2008) 361-365
#### Applied topics

Connectivity of somatosensory cortical area 1 form an anatomical substrate for the emergence of multifinger receptive fields and complex feature selectivity in the squirrel monkey (Saimiri sciureus)
(with M. Ashaber, E. Pálfi, R. Friedman, B. Jákli, L.M. Chen, O. Kántor, A.W. Roe, L. Négyessy)

*Journal of Comparative Neurology*, **522** (2014) 1769-1785
Intrinsic horizontal connections process global tactile features in the primary somatosensory cortex: Neuroanatomical evidence
(with L. Négyessy, E. Pálfi, M. Ashaber, B. Jákli, R. Friedman, L.M. Chen, and A.W. Roe)

*Journal of Comparative Neurology*, **521** (2013) 2798-2817
(last updated: Oct. 12, 2016)