Jacopo Borga

Assistant Professor of Mathematics

. . .“In your lifetime, you won’t face right or wrong choices.

But when you make one, strive to make it the best decision possible”. . .

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Hi! I am an Assistant Professor in the Department of Mathematics at MIT. My office is 2-275 in the Simons Building.

Before coming to MIT, I was a Szegő Assistant Professor in the Mathematics Department of Stanford University. I got my Ph.D. from the Institut für Mathematik at the Universität Zürich, under the supervision of Valentin Féray and Mathilde Bouvel.

I am mainly interested in probability theory and its connections to combinatorics and mathematical physics. I study various random combinatorial structures and their continuous limits, including random permutons, meanders, multi-dimensional constrained Brownian motions, Schramm-Loewner evolutions, and Liouville quantum gravity.

Some of my research talks ___

My recent articles ___

[18] Reconstructing SLE-decorated Liouville quantum gravity surfaces from random permutons (with Ewain Gwynne).

Jacopo September 26, 2024

Permutons constructed from a Liouville quantum gravity surface and a pair of space-filling Schramm-Loewner evolutions (SLEs) have been shown — or are conjectured — to describe the scaling limit of various…

[17] A determinantal point process approach to scaling and local limits of random Young tableaux (with Cédric Boutillier, Valentin Féray and Pierre-Loïc Méliot). To appear in Annals of Probability.

Jacopo July 21, 2023

We obtain scaling and local limit results for large random Young tableaux of fixed shape via the asymptotic analysis of a determinantal point process due to Gorin and Rahman (2019). More…

[16] Power-law bounds for increasing subsequences in Brownian separable permutons and homogeneous sets in Brownian cographons (with William Da Silva and Ewain Gwynne). To appear in Advances in Mathematics.

Jacopo March 29, 2023

The Brownian separable permutons are a one-parameter family – indexed by – of universal limits of random constrained permutations. We show that for each , there are explicit constants such that…

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