Matija Bucic

PhD Student in Mathematics
Advisor: Benny Sudakov

Department of Mathematics
ETH Zürich

Contact Info

E-mail address:

matija.bucic

math.ethz.ch

Office address:	Department of Mathematics, ETH, HG J 65
	Rämistrasse 101, 8092 Zürich, Switzerland
	Phone: +41 44 632 8509.

Fields of Interest: Ramsey Theory, Directed Graph Theory, Algebraic and Probabilistic Methods in Combinatorics, Extremal Set Theory, Theoretical Computer Science, Random Structures

Curriculum Vitae: CV
Since 2016 I am a PhD student at ETH Zürich. Before coming to ETH, my undergraduate and masters studies were at the University of Cambridge, where my director of studies was Imre Leader .

Research Papers

M. Bucic, S. Heberle, S. Letzter, B. Sudakov, - Monochromatic trees in random tournaments, submitted.
M. Bucic, M. Kwan, A. Pokrovskiy, B. Sudakov, T. Tran, A. Z. Wagner Nearly-linear monotone paths in edge-ordered graphs, submitted.
M. Bucic, M. Ornik, U. Topcu Graph-Based Controller Synthesis for Safety-Constrained, Resilient Systems, 56th Annual Allerton Conference on Communication, Control, and Computing.
M. Bucic, B. Lidicky, J. Long, A. Z. Wagner Partition problems in high dimensional boxes, submitted.
M. Bucic, S. Letzter, B. Sudakov, Three colour bipartite Ramsey number of cycles and paths, submitted.
M. Bucic, S. Letzter, B. Sudakov, Tuan Tran, Minimum saturated families of sets, Bulletin of the London Mathematical Society 50.4 (2018), 725-732.
M. Bucic, S. Letzter, B. Sudakov, Directed Ramsey number for trees, submitted.
M. Bucic, S. Letzter, B. Sudakov, - Monochromatic paths in random tournaments, accepted, Random Structures and Algorithms, http://dx.doi.org/10.1002/rsa.20780.
M. Bucic - An Improved Bound for Disjoint Directed Cycles, Discrete Mathematics 341.8 (2018), 2231–2236.

Talks

June 2018- SIAM Conference on Discrete Mathematics 2018 in Denver, USA,
May 2018 - Combinatorics Seminar at University of Cambridge.
April 2018 - Graduate Seminar in Probability at ETH Zürich,
February 2018 - Mittagsseminar at ETH Zürich,
August 2017 - Eurocomb 2017 in Vienna, Austria,
August 2017- Random Structures and Algorithms 2017 in Gniezno, Poland,
March 2017 - Mittagsseminar at ETH Zürich,
March 2016 - Part III Seminar at University of Cambridge.

Teaching Info

Spring 2018 - teaching assistant Graph Theory
I had a great pleasure of (co)supervising Sven Heberle, for his Master Thesis resulting in the following publication:
Monochromatic trees in random tournaments

Miscellaneous

I participated in an excellent workshop on Graph and Hypergraph Colouring in Berlin 2018. Workshop website.
I had a great pleasure to lead the Croatian team to the IMO 2018. IMO website.
My Part III essay, under supervision of Perla Sousi: Ramanujan Graphs
Summer research project 2015 report, under supervision of Imre Leader: Splitting Directed Graphs
A mathematical essay, which was awarded the Woods prize 2014, the topic was proposed by Imre Leader: Evolution of Random Graphs