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 schedule of the courses for October 2023.
The course schedule is also available on the dedicated calendar.
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
Lecture series
Seminars
 Algebraic Geometry Seminar
 Complex geometry
 Geometric Structures Seminar
 Geometry and Physics Seminar
 Low dimensional topology
 Mathematical Physics Seminar
 Noncommutative 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 (GMP) 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, the students will complete their preparation by attending graduate courses (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
Interviews: 1418 February 2022 (remotely) Courses start on October 1st 2022. The application process starts here.
For any inquiries, please write to: phd@sissa.it or visit the dedicated webpage.
PhD Coordinator for Geometry and Mathematical Physics
Faculty

Ugo Bruzzo, Professor

Ludwik Dabrowski, Professor

Gregorio Falqui, Professor

Barbara Fantechi, Professor

Marcello Porta, Professor

Jacopo Stoppa, Professor

Alessandro Tanzini, Professor

Tamara Grava, Associate Professor

Davide Guzzetti, Associate Professor

Antonio Lerario, Associate Professor

Nicolò Sibilla, Associate Professor

Rafael Torres, Associate Professor

Andrea Tobia Ricolfi, Assistant Professor
Former Faculty Members
Former ProfessorsVisiting Professors

Gianfausto Dell'Antonio, Visiting Professor
External Collaborators

Antonio Ponno, University of Padova, Italy

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

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

Guilherme Almeida, External Collaborator

Ada Boralevi, External Collaborator

Marko Erceg, External Collaborator

Fabio Perroni, External Collaborator

Roberto Svaldi, External Collaborator
Temporary Scientific Staff

Dan Anibal Aguero Cerna, Research fellow

Matteo Gallone, Research fellow

Soeren Gammelgaard, Research fellow

Pierre Karim Emile Lazag, Research fellow

Yang Liu, Research fellow

Bingying Lu, Research fellow

Giovanna Marcelli, Research fellow

Emanuele Pavia, Research fellow

Carlo Scarpa, Research fellow

MirunaStefana Sorea, Research fellow

Ekaterina Sysoeva, Research fellow

Egor Zenkevich, Research fellow

Stefano Marcantoni, Other
PhD Students
Fourth Year Students

Mario De Marco, PhD Student

Cristoforo Iossa, PhD Student

Luis Felipe Lopez Reyes, PhD Student

Hayato Morimura, PhD Student

Giuseppe Orsatti, PhD Student

Annamaria Ortu, PhD Student

Song Jin Ri, PhD Student

Paolo Tomasini, PhD Student
Third 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
Second Year Students

Younes El Maamoun Benyahia, PhD Student

Alessandro Bertellotti, PhD Student

Filippo FilaRobattino, PhD Student

Ajay Gautam, PhD Student

Andrea Grossutti, PhD Student

Alessandro Lehmann, PhD Student

Oliviero Malech, PhD Student

Dmitrii Rachenkov, PhD Student

Andrea Rosana, PhD Student

Harman Preet Singh, PhD Student

Elisa Vitale, PhD Student
First Year Students

Mohamed Aliouane, PhD Student

Valentina Bais, PhD Student

Lorenzo Cecchi, PhD Student

Adriano Chialastri, PhD Student

Matteo Montagnani, PhD Student

Thomas Nicosanti, PhD Student

Ayush Singh, 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).