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I am a mathematician specializing in Integrable Systems and Random Matrix Theory, with interests spanning from special functions and asymptotic analysis to geometric and algebraic aspects of integrability. I earned my Master's degree in Mathematics in 2015, with a thesis on Hurwitz numbers and integrable systems under the supervision of Boris Dubrovin. Subsequently, I completed my Ph.D. in Geometry and Mathematical Physics in 2019 at the International School for Advanced Studies (SISSA) in Trieste, Italy, with a thesis on tau functions of integrable systems supervised by Marco Bertola. Following my doctorate, I held a postdoctoral position at the Université catholique de Louvain in Belgium, collaborating with Tom Claeys' research group. After a short stay at the Max Planck Institute for Mathematics in Bonn, Germany, I joined the Grupo de Física Matemática at the University of Lisbon, Portugal, supported by a 6-year grant from FCT (2022.07810.CEECIND). My research contributions include 14 publications in prestigious journals such as Communications in Mathematical Physics, Communications in Number Theory and Physics, Journal of Functional Analysis, Journal of the London Mathematical Society.
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Identificação

Identificação pessoal

Nome completo
Giulio Ruzza

Nomes de citação

  • Ruzza, Giulio

Identificadores de autor

Ciência ID
E919-C934-5A02
ORCID iD
0000-0001-5364-1635

Endereços de correio eletrónico

  • gruzza@fc.ul.pt (Profissional)

Moradas

  • Campo Grande Edifício C6, 1749-016, Lisboa, Lisboa, Portugal (Profissional)

Websites

Domínios de atuação

  • Ciências Exatas - Matemática

Idiomas

Idioma Conversação Leitura Escrita Compreensão Peer-review
Inglês Utilizador proficiente (C2) Utilizador proficiente (C2) Utilizador proficiente (C2) Utilizador proficiente (C2) Utilizador proficiente (C2)
Italiano (Idioma materno)
Formação
Grau Classificação
2015/10/01 - 2019/09/13
Concluído
 PhD in Geometry and Mathematical Physics (Doktor (PhD))
Scuola Internazionale Superiore di Studi Avanzati, Itália
"Tau functions: theory and applications to matrix models and enumerative geometry" (TESE/DISSERTAÇÃO)
2013/10/01 - 2015/07/16
Concluído
 Percorso Formativo Comune - joint master program in Mathematics (Laurea Magistrale)
Especialização em MATEMATICA
Scuola Internazionale Superiore di Studi Avanzati, Itália

Università degli Studi di Trieste, Itália
"Integrable Systems and Hurwitz Numbers" (TESE/DISSERTAÇÃO)
 110/110 e lode
2010/10/01 - 2013/07/23
Concluído
 Scienze Matematiche (Bachelor)
Especialização em MATEMATICA
Università degli Studi di Milano, Itália
 110/110 e lode
Percurso profissional

Ciência

Categoria Profissional
Instituição de acolhimento 		Empregador
2023/05/09 - Atual Investigador (Investigação) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Grupo de Física Matemática, Portugal
2019/11/01 - 2022/12/31 Pós-doutorado (Investigação) Université catholique de Louvain, Bélgica
Université catholique de Louvain Institut de recherche en mathématique et physique, Bélgica
Produções

Publicações

Artigo em revista
  1. Giulio Ruzza. "Bessel Kernel Determinants and Integrable Equations". Annales Henri Poincaré (2025): https://doi.org/10.1007/s00023-024-01527-x.
    10.1007/s00023-024-01527-x
  2. van Ittersum, Jan-Willem M.; Ruzza, Giulio. "Quantum KdV hierarchy and quasimodular forms". Communications in Number Theory and Physics 18 2 (2024): 405-439. https://doi.org/10.4310/cntp.2024.v18.n2.a4.
    Publicado • 10.4310/cntp.2024.v18.n2.a4
  3. Claeys, Tom; Glesner, Gabriel; Ruzza, Giulio; Tarricone, Sofia. "Jánossy Densities and Darboux Transformations for the Stark and Cylindrical KdV Equations". Communications in Mathematical Physics 405 5 (2024): https://doi.org/10.1007/s00220-024-04988-7.
    10.1007/s00220-024-04988-7
  4. M Bertola; C Norton; G Ruzza. "Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure". Nonlinearity (2024): https://doi.org/10.1088/1361-6544/ad1a49.
    10.1088/1361-6544/ad1a49
  5. Ruzza, Giulio. "Jacobi Beta Ensemble and $b$-Hurwitz Numbers". Symmetry, Integrability and Geometry: Methods and Applications 19 100 (2023): http://dx.doi.org/10.3842/sigma.2023.100.
    Acesso aberto • 10.3842/sigma.2023.100
  6. Mattia Cafasso; Giulio Ruzza. "Integrable equations associated with the finite-temperature deformation of the discrete Bessel point process". Journal of the London Mathematical Society (2023): http://dx.doi.org/10.1112/jlms.12745.
    10.1112/jlms.12745
  7. Christophe Charlier; Tom Claeys; Giulio Ruzza. "Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ". Journal of Functional Analysis (2022): https://doi.org/10.1016/j.jfa.2022.109608.
    10.1016/j.jfa.2022.109608
  8. Giulio Ruzza; Di Yang. "On the spectral problem of the quantum KdV hierarchy". Journal of Physics A: Mathematical and Theoretical (2021): https://doi.org/10.1088/1751-8121/ac190a.
    10.1088/1751-8121/ac190a
  9. Mattia Cafasso; Tom Claeys; Giulio Ruzza. "Airy Kernel Determinant Solutions to the KdV Equation and Integro-Differential Painlevé Equations". Communications in Mathematical Physics 386 2 (2021): 1107-1153. https://doi.org/10.1007/s00220-021-04108-9.
    10.1007/s00220-021-04108-9
  10. Massimo Gisonni; Tamara Grava; Ruzza, Giulio. "Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials". Letters in Mathematical Physics (2021):
    10.1007/s11005-021-01396-z
  11. M Bertola; G Ruzza. "Matrix models for stationary Gromov-Witten invariants of the Riemann sphere". Nonlinearity 34 2 (2021): 1168-1196. https://doi.org/10.1088/1361-6544/abd85e.
    10.1088/1361-6544/abd85e
  12. Gisonni, M.; Grava, T.; Ruzza, G.. "Laguerre Ensemble: Correlators, Hurwitz Numbers and Hodge Integrals". Annales Henri Poincare 21 10 (2020): 3285-3339. http://www.scopus.com/inward/record.url?eid=2-s2.0-85086698950&partnerID=MN8TOARS.
    10.1007/s00023-020-00922-4
  13. Bertola, M.; Ruzza, G.. "The Kontsevich–Penner Matrix Integral, Isomonodromic Tau Functions and Open Intersection Numbers". Annales Henri Poincare 20 2 (2019): 393-443. http://www.scopus.com/inward/record.url?eid=2-s2.0-85057301618&partnerID=MN8TOARS.
    10.1007/s00023-018-0737-8
  14. Bertola, M.; Ruzza, G.. "Brezin-Gross-Witten tau function and isomonodromic deformations". Communications in Number Theory and Physics 13 4 (2019): 827-883. http://www.scopus.com/inward/record.url?eid=2-s2.0-85078842742&partnerID=MN8TOARS.
    10.4310/CNTP.2019.v13.n4.a4
Atividades

Apresentação oral de trabalho

Título da apresentação Nome do evento
Anfitrião (Local do evento)
2025/03/21 Integrable Probability and Integrable Equations Deuxième rencontre de probabilités intégrables
Institut Henri Poincaré (Paris, França)
2024/09/19 Determinantal point processes and integrable PDEs An ODE to Geometry
Instituto Superior Técnico (Lisboa, Portugal)
2024/06/03 Quantum KdV, quasimodular forms, and shifted symmetric functions Integrable Systems: Geometrical and Analytical Approaches
International School for Advanced Studies (SISSA) (Trieste, Itália)
2024/02/27 On the spectral problem of Buryak-Rossi quantum KdV hierarchy LUSO-BRAZILIAN MEETING IN THEORETICAL AND MATHEMATICAL PHYSICS
Universidade Federal de Pernambuco (Recife, Brasil)
2023/05/25 Integrable equations for multiplicative statistics and Jánossy densities of determinantal point processes (a Riemann-Hilbert approach) Integrable Probability, Classical and Quantum Integrability
Université d'Angers (Angers, França)
2022/07/08 Quantum Intermediate Long Wave hierarchy and quasimodular forms Integrable systems, Frobenius manifolds, and related topics
Institut de Mathématiques de Bourgogne, Dijon, France (Dijon, França)
2022/05/26 Quantum KdV and quasimodular forms Excursions in Integrability
SISSA, Trieste (Trieste, Itália)
2021/06/18 Airy kernel determinants, Korteweg-de Vries equation, and non-local Painlevé equations. Random Matrices and Integrable Systems
School of Mathematics, University of Bristol (online due to pandemic) (Bristol, Reino Unido)
2021/03/05 Tyurin data, Cauchy kernels, and Goldman Poisson structure Geometry Seminar at University of Michigan
University of Michigan (michigan, Estados Unidos)
2020/09/15 Multiplicative statistics of the Airy process and the Korteweg-de Vries equation Integrable systems around the world
International School for Advanced Studies (online due to pandemic) (Trieste, Itália)
2019/09/11 Matrix models for stationary Gromov-Witten invariants of the Riemann sphere Curve counting theories and related algebraic structures
School of Mathematics - University of Leeds (Leeds, Reino Unido)
2019/06/27 Isomonodromic tau functions and matrix models Integrability and Nonlinear Dispersive Equations
Centre International de Rencontres Mathématiques (Luminy, Marseille, França)
2018/09/04 Tau functions from matrix models in enumerative geometry and isomonodromic deformations Tau Functions of Integrable Systems and Their Applications
Banff International Research Station (Banff, Canadá)
2018/06/26 Matrix models for intersection numbers on moduli spaces of curves and isomonodromic tau functions Hamiltonian PDEs: models and applications
Università Bicocca (Milano, Itália)
2017/06/09 Kontsevich-Penner model and open intersection numbers Geometry of Integrable Systems
International School for Advanced Studies (Trieste, Itália)

Orientação

Título / Tema
Papel desempenhado 		Curso (Tipo)
Instituição / Organização
2019/01/01 - 2022/09/30 Correlators of classical unitary invariant ensembles: geometry and combinatorics
Coorientador
 PhD in Geometry and Mathematical Physics (Doutoramento)
Scuola Internazionale Superiore di Studi Avanzati, Itália

Organização de evento

Nome do evento
Tipo de evento (Tipo de participação) 		Instituição / Organização
2023/12/01 - 2024/07/12 co-organiser of the conference "Integrability and Moduli - A conference in honor of Leon Takhtajan" (2024/07/08 - 2024/07/12)
Conferência (Coorganizador)
 Universidade de Lisboa Faculdade de Ciências, Portugal
2016/01/18 - 2016/01/21 Co-organizer of the conference "Geometric and Analytic Theory of Hamiltonian Systems'' at SISSA, Trieste (2016/01/18 - 2016/01/21)
Conferência (Coorganizador)
 Scuola Internazionale Superiore di Studi Avanzati, Itália

Participação em evento

Descrição da atividade
Tipo de evento 		Nome do evento
Instituição / Organização
2023/09/04 - 2023/09/08 Participation to the School "Enumerative geometry, quantisation and moduli spaces" ( https://gtobor.github.io/Cetraro2023/ )
Conferência
 Enumerative geometry, quantisation and moduli spaces
Centro Internazionale Matematico Estivo (International Mathematical Summer Center), Itália

Università degli Studi di Padova, Itália

Istituto Nazionale di Alta Matematica Francesco Severi, Itália

Curso / Disciplina lecionado

Disciplina Curso (Tipo) Instituição / Organização
2022/02/03 - 2022/05/12 Introduction to Random Matrix Theory, Riemann-Hilbert problems, and Universality - spring 2022 - master course in Mathematics Introduction to Random Matrix Theory, Riemann-Hilbert problems, and Universality (Master) Université catholique de Louvain, Bélgica
2021/02/09 - 2021/04/27 Complex Analysis II - spring 2021 - master course in Mathematics - Exercise sessions Complex Analysis II (Master) Université catholique de Louvain, Bélgica
2019/04/01 - 2019/04/30 Fisica Matematica I - lectures on Special Relativity Fisica Matematica 1 (General Relativity) (Master) Università degli Studi di Trieste, Itália

Expedição científica

Descrição da atividade Instituição / Organização
2025/02/02 - 2025/04/26 Three-month scientific expedition to Université d'Angers (France) funded with a grant "Poste Rouge" of the CNRS. Université d'Angers Département de Mathématiques, França
2023/01/01 - 2023/02/28 short-term postdoc position at the Max Planck Institute for Mathematics (Bonn, Germany) Max-Planck-Institut für Mathematik, Alemanha
2019/10/01 - 2019/10/31 Research visit, project: Laguerre unitary ensemble and Hodge integrals on moduli spaces of curves Hefei University of Technology, China
Distinções

Prémio

2015 Fellowship for the PhD in Geometry and Mathematical Physics at SISSA, Trieste
Scuola Internazionale Superiore di Studi Avanzati, Itália
2013 Fellowship "Percorso Formativo Comune" for the joint master SISSA - Università di Trieste
Scuola Internazionale Superiore di Studi Avanzati Sezione Matematica, Itália
2010 Fellowship "Progetto Lauree Scientifiche" for bachelor students in Mathematics
Istituto Nazionale di Alta Matematica Francesco Severi, Itália