Purpose of the PhD Course
The aim of the PhD Course in Mathematical Analysis, Modelling, and Applications is to educate graduate students in the fields of mathematical analysis and mathematical modelling, and in the applications of mathematical and numerical analysis to science and technology. The goal is to enable PhDs to work as high level researchers in these fields in universities, research institutes, and private companies.
This PhD Course continues in a unified way the PhD Courses in Mathematical Analysis and in Applied Mathematics, active until the academic year 2012-2013.
Research Topics
The activity in mathematical analysis is mainly focused on Dynamical Systems and PDEs, on the Calculus of Variations, on Hyperbolic Conservation Laws and Transport Problems, on Geometric Analysis and on Geometry and Control theory. Connections of these topics with differential geometry and reduced order modelling are also developed.
The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysis, mechanics of materials, micromagnetics, modelling of biological systems, computational fluid and solid dynamics, numerical analysis and scientific computing, and problems related to control theory.
The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is developed in collaboration with MathLab for the study of problems coming from the real world, industrial and medical applications, and complex systems.
Admission to PhD Program
- Number of available PhD positions: 7 fellowships financed by SISSA and 4 fellowships financed by FSE+. The research activities of candidates applying and selected for the FSE+ fellowships will be in the field of applied mathematics, including numerical analysis, scientific computing, continuum mechanics and mathematical modelling.
PhD announcements are available here.
Click here to apply for the PhD in Mathematical Analysis, Modelling, and Applications.
The entrance examination procedure will be based on:
- Evaluation of academic and scientific qualifications
- Written exam: in presence*
- Oral exam: in presence*
Important Dates and Info: Entrance Sessions
Spring entrance session:- Deadline for application: 25.01.2026
- Exams: 02 and 03.03.2026
- Deadline for application: 27.08.2026
- Exams: 10 and 11.09.2026
Important Dates and Info: Progress Exams
Progress exam from 1st to 2nd and from 2nd to 3rd year:- Date: 15 September 2026
- Exam commission: Profs. L. Rizzi (Chair), A. Maspero, A. Cangiani (Secretary), Dr. R. Grande Izquierdo, Dr. D. Riccobelli and Dr. A. Colanera.
- Date: 15 September 2026
- Exam commission: Profs. S. Bianchini (Chair), G. Rozza, I. Chevyrev, G. Noselli (Secretary), Dr. B. Langella, and Dr. F. Pichi.
- Date: 24 and 25 September 2026
PhD Coordinator for Mathematical Analysis, Modeling, and Applications
Faculty
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Massimiliano Berti, Professor
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Stefano Bianchini, Professor
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Antonio De Simone, Professor
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Nicola Gigli, Professor
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Antonio Lerario, Professor
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Alberto Maspero, Professor
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Giovanni Noselli, Professor
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Marcello Porta, Professor
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Luca Rizzi, Professor
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Gianluigi Rozza, Professor
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Gabriele Benedetti, Associate Professor
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Andrea Cangiani, Associate Professor
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Ilya Chevyrev, Associate Professor
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Pasquale Claudio Africa, Assistant Professor
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Antonio Colanera, Assistant Professor
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Ricardo Grande Izquierdo, Assistant Professor
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Federico Pichi, Assistant Professor
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Davide Riccobelli, Assistant Professor
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Niccolò Tonicello, Assistant Professor
Visiting Professors
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Andrei Agrachev, Visiting Professor
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Andrea Braides, Visiting Professor
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Andrea Mola, IMT Lucca
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Maria Giovanna Mora, Università di Pavia
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Rodica Toader, Università di Udine
Former Faculty Members
Former ProfessorsExternal Collaborators
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Zhefeng Xu, PhD Student
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Xuewei Wang, PhD Student
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Claudio Altafini, Linköping University
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Luigi Ambrosio, SNS, Pisa
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Francesco Ballarin, Università Cattolica, Brescia
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Saugata Basu, Purdue University
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Giovanni Bellettini, Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche Università di Siena
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Luca Biasco, Universita' di Roma 3
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Ariel Surya Boiardi, External Collaborator
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Ugo Boscain, Ecole Polytechnique di Parigi
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Peter Bürgisser, Technische Universität Berlin
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Enrique Delgado Avila, External Collaborator
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Michele Girfoglio, University of Palermo.
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Nicola Giuliani, External Collaborator
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Bangxian Han, External Collaborator
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Shouhei Honda, Tohoku University
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Zhenxin Liu, External Collaborator
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Alessandro Lucantonio, External Collaborator
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Erik Lundberg, Florida Atlantic University
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Andrea Mondino, University of Warwick
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Massimiliano Morini, Università di Parma
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Federico Murgante, Università di Milano
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Shin-ichi Ohta, Kyoto University
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Chris Peterson, Colorado State University
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Michela Procesi, Universita' di Roma 3
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Giuseppe Savaré, Università di Pavia
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Nirav Vasant Shah, External Collaborator
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Giovanni Stabile, External Collaborator
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Karl-Theodor Sturm, University of Bonn
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Davide Torlo, Università di Roma La Sapienza
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Régis Christian Turuban, Scuola Superiore Sant’Anna
Temporary Scientific Staff
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Ali Kabalan Ammar, Research fellow
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Ankur Ankur, Research Fellow
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Elvin Babayev, Research fellow
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Kabir Bakhshaei, Research fellow
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Alessandro Della Pia, Research fellow
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Giuseppe Alessio D’Inverno, Research fellow
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Matteo Gaibotti, Research fellow
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Xinping Gui, Research fellow
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Arash Hajasharifi, Research fellow
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Rahul Halder, Other
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Nitin Kumar, Research fellow
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Gaia Marsich, Research fellow
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Andrea Martini, Research fellow
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Laura Meneghetti, Research fellow
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Zahra Mirzaiyan, Research fellow
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Fatemeh Mohammadizadeh, Research fellow
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Davide Oberto, Research fellow
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Giulio Ortali, Research fellow
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Felix Rott, Research fellow
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Emeric Roulley, Research fellow
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Pietro Maria Santucci, Research fellow
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Marcello Savarese, Research fellow
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Pierfrancesco Siena, Research fellow
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Artem Sinitsa, Research fellow
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Jan Zavodnik, Research fellow
Support Staff
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Luca Mingotti Landriani, iNEST project
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Raffaella Terpin, iNEST project
PhD Students
Fourth Year Students
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Thomas Beretti, PhD Student
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Giuseppe Cosma Brusca, PhD Student
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Anouar Dahdah, PhD Student (PNRR DM 352, in collaborazione con Siemens AG)
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Davide Donati, PhD Student
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Lorenzo Fabris, PhD Student (PNRR DM 352, in collaborazione con Fincantieri S.p.A.)
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Tolibjon Ismoilov, PhD Student
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Anna Ivagnes, PhD Student
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Roberto Marchello, PhD Student
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Pranjivan Mehta Pavan, PhD Student (PNRR DM 351, tema patrimonio culturale)
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Michele Motta, PhD Student
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Anantha Krishnan Orunnukaran Mani, PhD Student (PNRR DM 352, in collaborazione con EPS Italia S.r.l.)
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Maria Teresa Rotolo, PhD Student
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Elisa Savio, PhD Student (PNRR DM 352, in collaborazione con Danieli Automation S.p.A.)
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Armin Sheidani, PhD Student (PNRR DM 351, tema transizioni digitali in cotutela con TU/Eindhoven)
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Zhefeng Xu, PhD Student
Third Year Students
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Rashid Ashraf, PhD student (PNRR DM 117, in collaboration with SMACT Competence Center S.c.p.A.)
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Tommaso Barbieri, PhD Student
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Nicola Clinco, Phd student (PNRR DM 118, digital and environmental transitions in collaboration with the Sorbonne Université in Paris)
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Dario Coscia, PhD student (PNRR DM 118, digital and environmental transitions in collaboration with the University of Amsterdam)
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Isabella Carla Gonnella, PhD Student
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Qusain Haider, PhD student (EarthSafe project)
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Hammad Khaliq, PhD student (BLESSED project)
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Guglielmo Padula, PhD student (PNRR iNEST in collaboration with OGS)
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Antonio Milosh Radakovic, PhD Student
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Mustafa Ramadan, PhD student (EarthSafe project)
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Sergio Scalabrino, PhD Student
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Dario Sterzi, PhD Student
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Rubio Gunawan The, PhD Student
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Chiara Trifone, PhD Student
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Alessandro Vici, PhD Student
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Edoardo Voglino, PhD Student
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Xuewei Wang, PhD Student
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Matteo Zanardini, PhD Student
Second Year Students
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Riccardo Berforini D'Aquino, PhD Student
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Malek Borjini, PhD student (PNRR DM 629, digital and environmental transitions)
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Giovanni Canali, PhD student (PNRR DM 630, in collaboration with Fincantieri S.p.A.)
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Gabriele Codega, PhD student (PNRR DM 630, in collaboration with Engys Ltd)
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Gaspare Li Causi, PhD student (PNRR DM 629, digital and environmental transitions)
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Francesco Magni, PhD Student
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Luca Edoardo Mosconi, PhD student (PNRR DM 629, digital and environmental transitions)
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Gabriele Nani, PhD Student
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Roman Oleinik, PhD Student
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Marco Picerni, PhD Student
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Alessandro Poletto, PhD Student
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Nicolò Tedesco, PhD Student
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Lorenzo Tomada, PhD Student
First Year Students
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Abdilaziz Komilov, PhD Student
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Stefano Mannella, PhD Student
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Mattia Menini, PhD Student
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Bianca Pigato, PhD Student
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Alec Jacopo Almo Schiavoni Piazza, PhD Student
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Artem Skvortsov, PhD Student
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Giacomo Venier, PhD Student
Previous PhD Theses
Click here to see the previous PhD Theses.
Regulation
Click here to see the regulation of this PhD course (in Italian).
