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.
Courses
Click here for the fall schedule of the courses.
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 for 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, stochastic geometry, real algebraic geometry
 Geometry of quantum fields and strings
 Complex differential geometry
 Generalized complex geometry
Seminars
 Noncommutative Geometry Seminar
 Geometric Structures Seminar
 Algebraic Geometry Seminar
 Geometry and Physics Seminar
 Mathematical Physics Seminar
 Cossa xe...? Seminar
 Kähler Geometry Seminar
iGAP
Geometers and Physicists collaborate within the iGAP project.
Admission to PhD Program
The Mathematics area at SISSA offers a doctoral program focused on Geometry and Mathematical Physics and targeted to excellent students. The GMP graduate program is entirely taught in English and covers various topics of modern mathematics: algebraic geometry; real and complex differential geometry; stochastic and real algebraic geometry; noncommutative geometry; integrable structures in mathematics and physics, random matrices; special functions; nonlinear waves; geometry of strings and quantum fields; mathematical methods of quantum physics. Students at SISSA have the possibility of studying and doing research in an international and active environment, interacting closely with professors and postdocs. The GMP graduate program is structured as follows: during the first year of PhD the students will complete their preparation by attending graduate courses in their area of interest (here is the list of the current courses), and the remaining years are dedicated exclusively to research.Benefits for our students include:
 mentoring programs
 funding for summer schools and conferences
 funding for 4 years (12 months/year stipend)
 no teaching load (some light teaching is possible, if desired)
 onsite kindergarten and maternity leave contribution
 contribution toward housing expenses
 language courses
 rich seminar activity
Application Deadlines
 Deadline for application: 1st February 2021
 First round of interviews: 171819th February 2021 (remotely)
 There will be another call in Summer 2021, depending on the number of available positions.
PhD Coordinator for Geometry and Mathematical Physics
Faculty

Marco Bertola, Professor

Ugo Bruzzo, Professor

Ludwik Dabrowski, Professor

Barbara Fantechi, Professor

Jacopo Stoppa, Professor

Alessandro Tanzini, Professor

Tamara Grava, Associate Professor

Davide Guzzetti, Associate Professor

Antonio Lerario, Associate Professor

Marcello Porta, Associate Professor

Rafael Greenblatt, Assistant Professor

Nicolò Sibilla, Assistant Professor

Rafael Torres, Assistant Professor
Former Faculty Members
Former ProfessorsVisiting Professors

Gianfausto Dell'Antonio, Visiting Professor
External Collaborators

Antonio Ponno, University of Padova, Italy

Gregorio Falqui, University of Milano Bicocca

Paolo Lorenzoni, University of Milano Bicocca

Andrea Posilicano, University of Insubria

Alexander Tovbis, University of Central Florida, USA

Francesco Mezzadri, University of Bristol, UK

Simonetta Abenda, University of Bologna

Thomas Kriecherbauer, University of Bayreuth, Germany

Mattia Cafasso, University of Angers, France

Gianluca Panati, Università di Roma "La Sapienza"

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

Michele Cirafici, Università degli Studi di Trieste

Giovanni Landi, Università degli Studi di Trieste

Claudio Arezzo, Università degli Studi di Parma

Alexander Its, Purdue University, USA

Fedor Bogomolov, NYU

Don Zagier, Max Planck Institute for Mathematics (Bonn, Germany); ICTP (Trieste, Italy)

Fabio Cipriani, Institute of Technology (Politecnico) Milan

Dmitry Korotkin, Concordia University, Canada

Ken McLaughlin, Colorado State University, USA

Paolo Novati, Università degli Studi di Trieste

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

Fabio Cunden, Postdoc

Eero Hakavuori, Postdoc

Andrew Paul Kels, Postdoc

Yang Liu, Postdoc

Giovanna Marcelli, Postdoc

Andrea Tobia Ricolfi, Postdoc

Pieter Roffelsen, Postdoc

Carlo Scarpa, Postdoc

MirunaStefana Sorea, Postdoc

Ekaterina Sysoeva, Postdoc

Egor Zenkevich, Postdoc
PhD Students
Fourth 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
Third Year Students

Stefano Baranzini, PhD Student

Victor Eduardo ChavezHeredia, 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
Second Year Students

Warren Cattani, PhD Student

Cristoforo Iossa, PhD Student

Hayato Morimura, PhD Student

Giuseppe Orsatti, PhD Student

Annamaria Ortu, PhD Student

Song Jin Ri, PhD Student

Umar Shahzad, PhD Student

Paolo Tomasini, PhD Student

Torstein Ulsnes, PhD Student

Jacopo Zanchettin, PhD Student
First Year Students

Asem Abdelraouf, PhD Student

Paolo Arnaudo, PhD Student

Muhammad Sohaib Khalid, PhD Student

Qiangru Kuang, PhD Student

Vadym Kurylenko, PhD Student

Solomiya Mizyuk, PhD Student

Riccardo Ontani, PhD Student

Hamza Ounesli, PhD Student

Nicholas Rungi, PhD Student

Lorenzo Sillari, 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).