# Andrea Ottolini

I am a Postdoc in the Math Department at the University of Washington, Seattle.

I graduated from Stanford, where I was fortunate to be advised by Persi Diaconis.

Before that, I obtained a Master at S.I.S.S.A. under the supervision of Alessandro Michelangeli.

You can find my curriculum here, and reach me by email at [lastname]@uw.edu

My current interests are probability theory, optimal transport and mathematical physics.

## Teaching

Spring 2024: Math 209 (Linear Analysis), Math 395 (Probability II).

## Preprints

Hitting times in the stochastic block model, arxiv.
(with R. Tripathi et al.) On the image of graph distance matrices, arxiv.
(with S. Steinerberger) Greedy Matching in Optimal Transport with concave cost, arxiv.
(with B. Gerencsér) Cutoff for a class of auto-regressive models with vanishing additive noise, arxiv.
## Accepted papers

(with S. Steinerberger) Concentration of Hitting Times in Erdös-Rényi graphs, arxiv. * Journal of Graph Theory *, accepted.
(with K. Devriendt, S. Steinerberger) Graph curvature via resistance distance, arxiv.* Discrete Applied Mathematics *, accepted.
(with R. Tripathi) Central limit theorem in complete feedback games, arxiv. * Journal of Applied Probability, * accepted.
(with J. He) Card guessing and the birthday problem for sampling without replacement, arxiv. * The Annals of Applied Probability 33 (6B), 5208-5232. *
(with B. Gerencsér) Rates of convergence for Gibbs sampling in the analysis of almost exchangeable data, arxiv. * Stochastic Processes and their Applications, 165, 440-464, 2023. *
(with N. A. Caruso, A. Michelangeli) On a comparison between absolute and relative self-adjoint extension schemes, arxiv. * Quaestiones Mathematicae, pages 1-19, 2023.
*
(with S. Steinerberger) Guessing cards with complete feedback, arxiv. * Advances in Applied Mathematics, 150, p. 102569, 2023.*
Spectral properties of point interactions with fermionic symmetries, link, * Mathematical Challenges of Zero-Range Physics, pp. 163-176, 2021*
(with M. Gallone, A. Michelangeli) Krein-Visik-Birman self-adjoint extension theory revisited, link, * Mathematical Challenges of Zero-Range Physics, pp. 239-304, 2021*
Oscillations for order statistics of some discrete processes, arxiv, * Journal of Applied Probability, 57(3), pp.703-719, 2020. *
(with S. Becker, A. Michelangeli) Spectral analysis of the 2+1 fermionic trimer with contact interactions, arxiv, * Mathematical Physics, Analysis and Geometry, 21(4), p.35, 2018.*
(with A. Michelangeli, R. Scandone) Fractional powers and singular perturbations of quantum differential Hamiltonians, arxiv, * Journal of Mathematical Physics, 59(7), p.072106, 2018.*
(with A. Michelangeli) Multiplicity of self-adjoint realisations of the (2+1)-fermionic model of Ter-Martirosyan-- Skornyakov type, arxiv, * Reports on Mathematical Physics, 81(1), pp.1-38, 2018.*
(with A. Michelangeli) On point interactions realised as Ter-Martirosyan-- Skornyakov hamiltonians, arxiv, *Reports on Mathematical Physics, 79(2), pp.215-260, 2018.*