Personal Summary

I am an associate 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.

Education

Ph.D., Central European University (2008)

B.A., University of California, Berkeley (2003)

Research Interests

Graph theory and combinatorics

Publications

• At most 4.47ⁿ stable matchings (with D. Pálvölgyi)
  submitted (2020)
• Rainbow cycles vs. rainbow paths (with A. Halfpap)
  submitted (2020)
• Turán numbers for hypergraph star forests (with O. Khormali)
  submitted (2020)
• Generalized rainbow Turán problems (with D. Gerbner, T. Mészáros, A. Methuku)
  submitted (2020)
• Hypergraph based Berge hypergraphs (with M. Balko, D. Gerbner, D. Y. Kang, Y. Kim)
  submitted (2020)
• On supersaturation and stability for generalized Turán problems (with A. Halfpap)
  to appear (2020)
• Some exact results for generalized Turán problems (with D. Gerbner)
  to appear (2020)
• Maximum size intersecting families of bounded minimum positive co-degree (with J. Balogh and N. Lemons)
  to appear (2020)
• On the weight of Berge-F-free hypergraphs (with S. English, D. Gerbner, A. Methuku)
  Electronic Journal of Combinatorics, 26 (2019) P4.7
• General lemmas for Berge-Turán hypergraph problems (with D. Gerbner and A. Methuku)
  European Journal of Combinatorics, 86 (2020) 103082
• Counting copies of a fixed subgraph in F-free graphs (with D. Gerbner)
  European Journal of Combinatorics, 82 (2019) 103001
• Turán numbers for Berge-hypergraphs and related extremal problems (with M. Tait, C. Timmons and A. Zs. Wagner)
  Discrete Math, 342 (2019) 1553-1563
• On the number of cycles in a graph with restricted cycle lengths (with D. Gerbner, B. Keszegh and B. Patkós)
  SIAM Journal on Discrete Mathematics, 32 (2018) 266-279
• Identifying defective sets using queries of small size (with F. Benevides, D. Gerbner and D. Vu)
  Discrete Math., 341 (2018) 143-150
• Extremal results for Berge-hypergraphs (with D. Gerbner)
  SIAM Journal on Discrete Mathematics, 31 (2017) 2314-2327
• 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 neuronal populations within and between areas of primate somatosensory cortex (with E. Pálfi, L. Zalányi, M. Ashaber, O. Kántor, A. W. Roe, R. M. Friedman, L. Négyessy) 
  Brain Structure and Function, 223 (2018) 2949–2971
• 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

Honors / Awards

Helen and Winston Cox Educational Excellence Award, Univeristy of Montana