Research supported in part by an NSF Grant #2349013.
I am also a visiting research collaborator at Princeton University.
Research supported in part by an NSF Grant #2349013.
I am also a visiting research collaborator at Princeton University.
I am an Assistant Professor in the Faculty of Mathematics at the University of Vienna. Before my current position, I was a tenure-track Assistant Professor at Princeton University (2023-2025). Before that, I was a Veblen Research Instructor, a joint position between IAS and Princeton (2021-2023). I completed my PhD at ETH Zürich in 2021, under the supervision of Benny Sudakov. My undergraduate and masters studies were at the University of Cambridge. My full CV is available here.
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,
Additive combinatorics,
Extremal Set Theory,
Theoretical Computer Science,
Random Structures, and
Directed Graph Theory.
On Graham's rearrangement conjecture over 𝔽_2^n
(with B. Bedert, N. Kravitz, R. Montgomery, and A. Müyesser).
An auxilliary object (rainbow spider)
A waveform absorber
Equiangular lines via improved eigenvalue multiplicity (with I. Balla).
An example of a graph encoding key information about an equiangular lines configuration.
Essentially tight bounds for rainbow cycles in proper edge-colourings
(with N. Alon, L. Sauermann, D. Zakharov, and O. Zamir).
Hypercube coloring without rainbow cycles
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