In your lifetime you won't encounter neither right choices nor bad choices,
but whenever you have to make one, you'll have to fight so that it becomes the best decision you could have ever taken.
Jacopo Borga
Szegő Assistant Professor in Mathematics
Hi! I am a Szegő Assistant Professor in the Mathematics Department of Stanford University.
Before coming to Stanford, I was a Ph.D. student at the Institut für Mathematik of the Universität Zürich. My supervisors were Valentin Féray and Mathilde Bouvel.
I am mainly interested in probability theory and its connections to combinatorics and mathematical physics. I am studying several random combinatorial structures and their continuous limits, such as random permutons, multi-dimensional constrained Brownian motions, Schramm-Loewner evolutions, and Liouville quantum gravity.
ALERT: I have neither internships nor RA/Ph.D. positions for anyone other than Stanford mathematics or statistics (incoming) PhDs.
My recent articles
[15] On the geometry of uniform meandric systems (with Ewain Gwynne and Minjae Park).
A meandric system of size is the set of loops formed from two arc diagrams (non-crossing perfect matchings) on , one drawn above the real line and the other below…
[14] Permutons, meanders, and SLE-decorated Liouville quantum gravity (with Ewain Gwynne and Xin Sun).
We study a class of random permutons which can be constructed from a pair of space-filling Schramm-Loewner evolution (SLE) curves on a Liouville quantum gravity (LQG) surface. This class includes…
[13] Large deviation principle for random permutations (with Sayan Das, Sumit Mukherjee, Peter Winkler).
We derive a large deviation principle for random permutations induced by probability measures of the unit square, called permutons. These permutations are called μ-random permutations. We also introduce and study…
[12] The skew Brownian permuton: a new universality class for random constrained permutations.
We construct a new family of random permutons, called skew Brownian permuton, which describes the limits of various models of random constrained permutations. This family is parametrized by two real…