Intro

From September 2024 I am Maitresse de Conférences at IMJ-PRG, Sorbonne Université in the team Combinatoire et Optimisation. Previously, I spent two years as a post-doc at the Institut de Physique Théorique, CEA Saclay. Prior to that, I was post-doc at Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain-la-Neuve.

I completed my PhD in Mathematics under the supervision of Mattia Cafasso and Marco Bertola in a cotutelle program between Université d'Angers and Concordia University.

I am a member of the INSMI International Research Project PIICQ (Probabilités Intégrables, Intégrabilité Classique et Quantique) and of the ANR JCJC project RESYST (REflected Stochastic SYSTems).

Research interests

My research activity is focused on the interactions between integrable systems and integrable probability models in mathematical physics. So far, this involved the followig subjects: classical integrable systems, KdV equation and related integrable PDEs, Painlevé equations, random matrix theory, determinantal point processes, orthogonal polynomials, isomonodromy deformations, cluster algebras, Riemann-Hilbert problems, random partitions models, combinatorics of maps.

!PIICQ online seminar is back!

The PIICQ online seminar that we organize together with Harriet Walsh will be back from the summer break on September 30, 2024. You can find the schedule of the future online events here and if you would like to participate, please let us know!

Address

Bureau : 15-16.113 IMJ-PRG (Campus Pierre et Marie Curie)
E-mail : tarricone@imj-prg.fr
Sofia Tarricone
IMJ-PRG (Campus Pierre et Marie Curie)
4, Place Jussieu,
75005, Paris

Selected talks

Integrable features of sine and Airy kernels at finite temperature,
16 September 2023, Summer School TRIeste, Università degli Studi di Trieste.

Integrabilità delle densità di Janossy del processo puntuale di Airy thinned,
8 September 2023, Congresso UMI23, Università e Scuola Normale Superiore di Pisa.

Determinantal point processes via Riemann–Hilbert problems,
24 July 2023, Conference SPA23 (CS3), University of Lisbon.

Toeplitz determinants related to the discrete Painlevé II hierarchy,
12 July 2023, Workshop CORTIPOM, CIRM Marseille.

The Tracy-Widom distribution for GUE and its generalizations,
13 June 2023, Journée Combinatoire et Proba, Université de Paris Nord.

Integrability of deformed sine kernel determinants,
25 May 2023, Third PIICQ Qorkshop, Université d'Angers.

Introduction to Quantum Mechanics,
14 January 2023, Groupe de Travail Quantique at IPhT, CEA Saclay.

On the integrability of the Airy kernel and beyond,
14 November 2022, Mathematical Physics seminar at IPhT, CEA Saclay.

Toeplitz determinants related to a discrete Painlevé II hierarchy,
18 October 2022, UCL/KUL Classical Analysis seminat at IRMP, UCLouvain.

Janossy densities of the thinned Airy point process: the Schrödinger and (c)KdV equations,
26 May 2022, PIICQ Workshop "Excursion in Integrability" at SISSA.

Finite-temperature higher order Airy kernels and an integro-differential Painlevé II hierarchy,
21 March 2022, Integrable systems and random matrix theory seminar at University of Michigan (online).

The cluster algebras structures in the monodromy manifolds with an irregular singular point,
9 December 2021, LAREMA, Université d'Angers.

Teaching

Exercise classes of Complex Analysis,
Université Catholique de Louvain-la-Neuve.
Teaching Assistant for Linear Algebra 1 and 2,
Concordia University (online).
Math Help Center Tutor,
Concordia University.
Linear Algebra,
Université d'Angers.
Mathematics for Biology,
Université d'Angers.
Analytic Geometry,
Université d'Angers.
Tutor for Euclidian Geometry and Linear Algebra,
Università degli Studi di Trieste.

Future conferences

  • LinkConference ARNO 2024,
    (in honor of Arno Kuijlaars’ 60th birthday),
    May 2023, KULeuven.
  • LinkWorkshop Integrable Systems, geometrical and analytical approaches,
    June 2023, SISSA, Trieste.
  • Link4th Italian Meeting on Probability and Mathematical Statistics,
    June 2023, Sapienza Università di Roma.
  • LinkConference "The Joy of integrable combinatorics",
    (in honor of Philippe Di Francesco's 60th birthday),
    June 2023, IPhT, CEA Paris-Saclay.
  • LinkConference "Enumerative combinatorics and effective aspects of
    differential equations"    ,
    February 2025, CIRM, Marseille.

Past conferences

  • LinkColloquium "Combinatoire elliptique et au-delà",
    November 2023, Institut d’Études Scientifiques de Cargèse.
  • LinkSummer School TRIeste: Topological Recursion and Integrability,
    September 2023, Università degli Studi di Trieste - SISSA - ICTP.
  • LinkCongresso UMI23, sezione fisica matematica,
    September 2023, Università e Scuola Normale Superiore di Pisa.
  • Link Conference on Stochastic Processes and their Applications,
    July 2023, University of Lisbon.
  • Link Cortipom project workshop,
    July 2023, CIRM (Marseille).
  • Link Third PIICQ Workshop,
    May 2023, Université d'Angers.
  • Link Research School "Journées ALEA",
    March 2023, CIRM (Marseille).
  • Poster XVIII Brunel–Bielefeld Workshop on Random Matrix Theory,
    16-17 December 2022, Brunel University.
Non-Hermitian Random Matrices Workshop,
November 2022, University of Bristol.
  • Poster Conference "The charm of Integrability"
    (in honor of Alexander Its' 70 birthday)    ,
    September 2022, University of Bristol.
  • Poster Workshop "DPP and Fermions 22'',
    June 2022, University of Bristol.
Excursion in Integrability (PIICQ Workshop II),
May 2022, SISSA (Trieste).
  • Poster Conference "Integrable Systems in Geometry
    and Mathematical Physics"(in memory of Boris Dubrovin)    ,
    July 2021, SISSA (Trieste, online).
Random Matrices and Integrable Systems (PIICQ Workshop I),
June 2021, University of Bristol (online).
Workshop "FASnet21",
June 2021, University of Alcalá (online).
Workshop "Integrability and Combinatorics at Finite Tempreature 2021",
June 2021, Matrix Institute of Melbourne (online).
Conference "Challenges and Recent Advances in Mathematical Physics",
January 2021, University of Bristol (online).
Conference "Integrable systems around the world",
September 2020, SISSA (Trieste, online).
Conference "Quantum and Classical Integrability",
September 2019, Institut Mathématique de Bourgogne (Dijon)
Summer School "Foliations and Algebraic Geometry",
July 2019, Institut Fourier (Grenoble).
Conference "Integrability and Randomness in Mathematical Physics and Geometry",
April 2019, CIRM (Marseille).
Research School "Coulomb gas, Integrability and Painlevé equations",
March 2019, CIRM (Marseille).

Other events

Pi-Day,
Mars 2024, CPES Lycée Louis Le Grand, Paris.
Orientation meeting for Bachelor students in Mathematics,
January 2021, Université d'Angers.
Mathematics’ Day,
December 2019, Lycée Joachim du Bellay, Angers.
Orientation meeting for Bachelor students in Mathematics,
December 2019, Université d'Angers.
Rencontres Doctorales,
November 2019, Centre Henri Lebesgue, Université de Nantes.
Rencontres Doctorales,
October 2018, Centre Henri Lebesgue, Université de Brest.

Preprints

Work in progress...

Publications

Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
 with Tom Claeys, Gabriel Glesner, Giulio Ruzza.
Published in Communications in Mathematical Physics.

On the integrable structure of deformed sine kernel determinants
 with Tom Claeys.
Published in Mathematical Physics, Analysis and Geometry.

Recursion relation for Toeplitz determinants and the discrete Painlevé II hierarchy
 with Thomas Chouteau.
Published in SIGMA - Special Issue in honor of Alexander Its' 70th birthday.

The Riemann-Hilbert approach to the generating function for the higher order Airy point processes
 with Mattia Cafasso.
Published in the AMS Proceeding Volume of FASnet21 conference.

Stokes manifolds and cluster algebras
 with Marco Bertola.
Published in Communications in Mathematical Physics.

Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel
 with Thomas Bothner and Mattia Cafasso.
Published in Annales de l'Institut Henri Poincaré B.

A fully noncommutative Painlevé II hierarchy: Lax pair and solutions related to Fredholm determinants
 Published in SIGMA.

PhD Thesis

The Painlevé II hierarchy : geometry and applications
 Defense date : 15 October 2021.

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