# 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.

## Research

- (with S. Steinerberger) Concentration of Hitting Times in Erdös-Rényi graphs, arxiv.
- (with R. Tripathi) Central limit theorem in complete feedback games, arxiv.
- (with K. Devriendt, S. Steinerberger) Graph curvature via resistance distance, arxiv.
- (with N. A. Caruso, A. Michelangeli) On a comparison between absolute and relative self-adjoint extension schemes, arxiv.
- (with S. Steinerberger) Guessing cards with complete feedback, arxiv.
- (with B. Gerencsér) Cutoff for a class of auto-regressive models with vanishing additive noise, arxiv.
- (with J. He) Card guessing and the birthday problem for sampling without replacement, arxiv.
* Annals of Applied Probability*, accepted.
- Spectral properties of point interactions with fermionic symmetries, link,
* Mathematical Challenges of Zero-Range Physics (pp. 163-176)*
- (with M. Gallone, A. Michelangeli) Krein-Visik-Birman self-adjoint extension theory revisited, link,
* Mathematical Challenges of Zero-Range Physics (pp. 239-304)*
- (with B. Gerencsér) Rates of convergence for Gibbs sampling in the analysis of almost exchangeable data, arxiv.
- Oscillations for order statistics of some discrete processes, arxiv,
* Journal of Applied Probability, 57(3), pp.703-719.*
- (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.*
- (with A. Michelangeli, R. Scandone) Fractional powers and singular perturbations of quantum differential Hamiltonians, arxiv,
* Journal of Mathematical Physics, 59(7), p.072106.*
- (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.*
- (with A. Michelangeli) On point interactions realised as Ter-Martirosyan-- Skornyakov hamiltonians, arxiv,
*Reports on Mathematical Physics, 79(2), pp.215-260.*