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 November and December 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, Gromov-Witten 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, sub-riemannian 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; non-commutative 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)
- on-site kindergarten and maternity leave contribution
- contribution toward housing expenses
- language courses
- rich seminar activity
Interviews: 14--18 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
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Ugo Bruzzo, Professor
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Ludwik Dabrowski, Professor
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Gregorio Falqui, Professor
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Barbara Fantechi, Professor
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Marcello Porta, Professor
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Jacopo Stoppa, Professor
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Alessandro Tanzini, Professor
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Tamara Grava, Associate Professor
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Davide Guzzetti, Associate Professor
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Antonio Lerario, Associate Professor
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Nicolò Sibilla, Associate Professor
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Rafael Torres, Associate Professor
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Andrea Tobia Ricolfi, Assistant Professor
Former Faculty Members
Former ProfessorsVisiting Professors
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Gianfausto Dell'Antonio, Visiting Professor
External Collaborators
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Antonio Ponno, University of Padova, Italy
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Paolo Lorenzoni, University of Milano Bicocca
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Andrea Posilicano, University of Insubria
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Alexander Tovbis, University of Central Florida, USA
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Francesco Mezzadri, University of Bristol, UK
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Simonetta Abenda, University of Bologna
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Thomas Kriecherbauer, University of Bayreuth, Germany
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Mattia Cafasso, University of Angers, France
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Francesco D'Andrea, Università di Napoli "Federico II"
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Michele Cirafici, Università degli Studi di Trieste
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Giovanni Landi, Università degli Studi di Trieste
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Claudio Arezzo, Università degli Studi di Parma
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Alexander Its, Purdue University, USA
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Fedor Bogomolov, NYU
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Don Zagier, Max Planck Institute for Mathematics (Bonn, Germany); ICTP (Trieste, Italy)
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Fabio Cipriani, Institute of Technology (Politecnico) Milan
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Dmitry Korotkin, Concordia University, Canada
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Ken McLaughlin, Colorado State University, USA
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Paolo Novati, Università degli Studi di Trieste
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Guilherme Almeida, External Collaborator
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Ada Boralevi, External Collaborator
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Marko Erceg, External Collaborator
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Fabio Perroni, External Collaborator
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Roberto Svaldi, External Collaborator
Temporary Scientific Staff
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Dan Anibal Aguero Cerna, Research fellow
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Matteo Gallone, Research fellow
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Soeren Gammelgaard, Research fellow
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Pierre Karim Emile Lazag, Research fellow
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Yang Liu, Research fellow
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Bingying Lu, Research fellow
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Giovanna Marcelli, Research fellow
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Emanuele Pavia, Research fellow
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Carlo Scarpa, Research fellow
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Miruna-Stefana Sorea, Research fellow
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Ekaterina Sysoeva, Research fellow
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Egor Zenkevich, Research fellow
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Stefano Marcantoni, Other
PhD Students
Fourth Year Students
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Asem Abdelraouf, PhD Student
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Paolo Arnaudo, PhD Student
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Muhammad Sohaib Khalid, PhD Student
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Qiangru Kuang, PhD Student
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Vadym Kurylenko, PhD Student
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Solomiya Mizyuk, PhD Student
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Riccardo Ontani, PhD Student
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Giuseppe Orsatti, PhD Student
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Hamza Ounesli, PhD Student
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Lorenzo Sillari, PhD Student
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Paolo Tomasini, PhD Student
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Torstein Ulsnaes, PhD Student
Third Year Students
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Younes El Maamoun Benyahia, PhD Student
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Alessandro Bertellotti, PhD Student
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Filippo Fila-Robattino, PhD Student
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Ajay Gautam, PhD Student
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Andrea Grossutti, PhD Student
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Alessandro Lehmann, PhD Student
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Oliviero Malech, PhD Student
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Dmitrii Rachenkov, PhD Student
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Andrea Rosana, PhD Student
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Harman Preet Singh, PhD Student
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Elisa Vitale, PhD Student
Second Year Students
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Mohamed Aliouane, PhD Student
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Valentina Bais, PhD Student
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Lorenzo Cecchi, PhD Student
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Adriano Chialastri, PhD Student
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Matias Gabriel Ginzburg, PhD Student
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Leonardo Goller, PhD Student
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Matteo Montagnani, PhD Student
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Thomas Nicosanti, PhD Student
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Tommaso Pedroni, PhD Student
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Ayush Singh, PhD Student
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Matteo Testa, PhD Student
First Year Students
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Mahmoud Abdelrazek Elimam Abdelrazek, PhD Student
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Lorenzo Barbato, PhD Student
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Nicolo Bignami, PhD Student
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Simone Fabbri, PhD Student
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Christian Forero Pulido, PhD Student
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Ian Selvaggi, PhD Student
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Valerio Tripodi, 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).