Purpose of the PhD Course
The PhD program in Geometry and Mathematical Physics focuses on the study of analytic and geometric aspects of physical phenomena that are of fundamental interest in both pure and applied sciences and covers wide spectrum of topics in modern algebraic and differential geometry and their applications.
Research Topics
 Integrable systems in relation with differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds
 Deformation theory and virtual classes moduli spaces of sheaves and of curves, in relation with supersymmetric gauge theories, strings, GromovWitten invariants, orbifolds and automorphisms
 Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics
 Mathematical methods of quantum mechanics
 Mathematical aspects of quantum Field Theory and String Theory
 Symplectic geometry, subriemannian geometry
 Geometry of quantum fields and strings
iGAP
Geometers and Physicists collaborate within the iGAP project.
Seminar on Hodge theory
The students of the Geometry and Mathematical Physics sector organize a series of seminars on topics of Hodge Theory.
Admission to PhD Program
Students are selected yearly by means of an entrance examination held in Trieste; there are two admission sessions: Spring and Autumn.Entrance examination is based on:
 Evaluation of curriculum vitae
 Written test (first day of exams)
 Oral interview (second day of exams)
Important Dates
Spring session: deadline for funds request: TBA
 deadline for application: TBA
 exams: TBA
 deadline for funds request: TBA
 deadline for application: TBA
 exams: TBA
PhD Coordinator for Geometry and Mathematical Physics
Faculty

Marco Bertola, Professor

Ugo Bruzzo, Professor

Ludwik Dabrowski, Professor

Boris Dubrovin, Professor

Barbara Fantechi, Professor

Jacopo Stoppa, Professor

Alessandro Tanzini, Professor

Tamara Grava, Associate Professor

Davide Guzzetti, Associate Professor

Antonio Lerario, Assistant Professor
Visiting Professors

Gianfausto Dell'Antonio, Visiting Professor
External Collaborators

Andrea Posilicano, University of Insubria

Gianluca Panati, Università di Roma "La Sapienza"

Francesco D'Andrea, Università di Napoli "Federico II"

Gregorio Falqui, Università di Milano Bicocca

Michele Cirafici, Università degli Studi di Trieste

Giovanni Landi, Università degli Studi di Trieste

Simonetta Abenda, Università degli Studi di Bologna

Fabio Cipriani, Institute of Technology (Politecnico) Milan

Ada Boralevi, External Collaborator

Marko Erceg, External Collaborator

Alessandro Michelangeli, External Collaborator

Fabio Perroni, External Collaborator

Roberto Svaldi, External Collaborator
Temporary Scientific Staff

Paolo Antonini, Postdoc

Alexander Medvedev, Postdoc

Pieter Roffelsen, Postdoc

Rafael Torres, Postdoc
PhD Students
Fourth Year Students

Konstantin Aleshkin, PhD Student

Dhyan Vas Aranha, PhD Student

Massimo Bagnarol, PhD Student

Gabriele Bogo, PhD Student

Alessandro Carotenuto, PhD Student

Daniele Dimonte, PhD Student

Matteo Gallone, PhD Student

William Daniel Montoya Cataño, PhD Student

Giulio Ruzza, PhD Student
Third Year Students

Guilherme Almeida, PhD Student

Harini Desiraju, PhD Student

Veronica Fantini, PhD Student

Nadir Fasola, PhD Student

Xiao Han, PhD Student

Vitantonio Peragine, PhD Student

Carlo Scarpa, PhD Student

Michele Stecconi, PhD Student

Boris Stupovski, PhD Student
Second Year Students

Elena Lukzen, PhD Student

Adam Marron Magee, PhD Student

Guido Mazzuca, PhD Student

Alessandro Nobile, PhD Student

Alessandro Rubin, PhD Student

Samreena Samreena, PhD Student

Enrico Schlitzer, PhD Student

Kaiwen Sun, PhD Student

Daan Van de Weem, PhD Student
First Year Students

Stefano Baranzini, PhD Student

Mario De Marco, PhD Student

Massimo Gisonni, PhD Student

Fran Globlek, PhD Student

Michele Graffeo, PhD Student

Luis Felipe Lopez Reyes, PhD Student

Leo Bastien Mathis, PhD Student

Blessing Oni, PhD Student

Umar Shahzad, PhD Student
Previous PhD Theses
Click here to see the previous PhD Theses.
Regulation
Click here to see the regulation of this Ph.D. course (in Italian).