
I am a professor at Iowa State University and EditorinChief of the journal Order, published by Springer.
My fields of interest are extremal poset theory, graph theory and extremal and probabilistic combinatorics. CV, Publications
I was a Fulbright US Scholar as part of the Budapest Semesters in Mathematics program at the Alfred Rényi Institute of Mathematics in 2019. I was also a visitor of Maria Axenovich at the Karlsruhe Institute of Technology, Germany via the German Academic Exchange Service (DAAD) in 2020.
 The discrete mathematics research cluster is partially supported by Research Training Grant (RTG) #1839918 from the National Science Foundation (NSF).
 My research is partially supported by a grant from the Simons Foundation (#353292, 20152020) (#709641, 20202025)


Latest preprints:
 Graph clustering via generalized colorings, with A. London and A. Pluhár, submitted.
 Counting paths, cycles and blowups in planar graphs, with C. Cox, submitted.
 On the edit distance function of the random graph, with A.W.N. Riasanovsky, submitted.
 Splits with forbidden subgraphs, with M. Axenovich, submitted.
 Planar Turán number of the 6cycle, with D. Ghosh, E. Gyõri, A. Paulos, and C. Xiao, submitted.
 The maximum number of paths of length four in a planar graph, with D. Ghosh, E. Gyõri, A. Paulos, N. Salia, C. Xiao, and O. Zamora, Discrete Math., to appear.
 Induced and noninduced poset saturation problems, with B. Keszegh, N. Lemons, D. Pálvölgyi, B. Patkós, J. Combin. Theory Ser. A, to appear.
 Counterexamples to a conjecture of Harris on Hall Ratio,
with A. Blumenthal, B. Lidický, S. Norin, F. Pfender,
and J. Volec, SIAM J. Discrete Math., to appear.

 Improved bounds for induced poset saturation, with H.C. Smith and
S. Walker, Electron. J. Combin., 27(2) (2020), Research Paper P2.31. (9pp.) [Journal Link]

On difference graphs and the local dimension of posets,
with J. Kim,
T. Masařík,
W. Shull,
H.C. Smith,
A. Uzzell,
and
Z. Wang, European J. Combin., 86 (2020), Article 103074. [Journal Link]

Ore and Chvátaltype degree conditions for bootstrap percolation from small sets, with
M. Dairyko,
M. Ferrara,
B. Lidický,
F. Pfender, and
A. Uzzell,
J. Graph Theory, 94(2) (2020), 252266. [Journal Link]
 Regular colorings and factors of regular graphs,
with
A. Bernshteyn,
O. Khormali,
J. Rollin,
D. Rorabaugh,
S. Shan,
and
A. Uzzell,
Discuss. Math. Graph Theory, 40(3) (2020), 795806. [Journal Link]

A simple proof for a forbidden subposet problem,
with A. Methuku,
A. Uzzell,
and
S. Walker,
Electron. J. Combin., 27(1) (2020), Research Paper P1.31. (9pp.) [Journal Link]

Teaching:

Other materials:
 Edit distance survey: The edit distance in graphs: methods, results and generalizations, Recent Trends in
Combinatorics, 3162, IMA Vol. Math. Appl., 159, Springer, Cham, 2016. [Errata]
 Lake Michigan Workshop slides: "The edit distance on graphs": Part I, Part II, Part III
 Current and former students.
 Discrete
Math seminar page (maintained by Bernard Lidický).
