Matija Bucic
Assistant Professor in Mathematics
Princeton University
Assistant Professor in Mathematics
Princeton University
I am an assistant professor in the Department of Mathematics at Princeton University. Before my current position, I was a Veblen Research Instructor, a joint position between IAS and Princeton. I completed my PhD at ETH Zürich in 2021, where my advisor was Benny Sudakov. My undergraduate and masters studies were at the University of Cambridge. My full CV is available here.
Fields of Interest:
I am mostly working in Extremal and Probabilistic Combinatorics and am very interested in finding applications of extremal and probabilistic ideas to other areas. So far I have mostly worked on
Probabilistic Methods in Combinatorics,
Algebraic Methods in Combinatorics,
Ramsey Theory,
Discrete Geometry
Extremal Set Theory,
Theoretical Computer Science,
Random Structures and
Directed Graph Theory.
Short descriptions of selected publications
Unit and distinct distances in typical norms (with N. Alon and L. Sauermann).
8 point configuration with 12 unit distances.
Towards the Erdős-Gallai Cycle Decomposition Conjecture (with R. Montgomery)
Triangle decomposition
Hamiltonian decomposition
Erdos-Szekeres theorem for multidimensional arrays (with B. Sudakov and T. Tran)
Auxilliary objects used to find lexicographic arrays in 3D