PhD Student in Mathematics Advisor: Benny Sudakov Department of Mathematics ETH Zürich Contact Info
Fields of Interest: Ramsey Theory, Directed Graph Theory, Algebraic and Probabilistic Methods in Combinatorics, Extremal Set Theory, Theoretical Computer Science, Random StructuresCurriculum Vitae: CVSince 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 . |

- 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.

- 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.

- 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

- 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