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 PhD Positions available: 8.
[PhD announcements are available here]
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: 9 February 2025.
- Exams: 10-11 March 2025.
- Deadline for application: 30 August 2025.
- Exams: 10-11 September 2025.
Important Dates and Info: Progress Exams
Progress exam from 1st to 2nd and from 2nd to 3rd year:- Date: 15 September 2025
- Exam commission: prof. N. Gigli (president), prof. A. Cangiani (secretary), prof. L. Rizzi, dr. B. Langella, dr. P.C. Africa, dr. N. Tonicello.
- Date: 9 September 2025
- Exam commission: prof. G. Rozza (president), prof. S. Bianchini, prof. G. Noselli (secretary), prof. A. Maspero, dr. R. Grande Izquierdo, dr. P.C. Africa.
- Date: 25 September 2025
Other PhD Positions
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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Andrea Braides, Professor
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Gianni Dal Maso, 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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Gianluigi Rozza, Professor
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Andrea Cangiani, Associate Professor
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Alberto Maspero, Associate Professor
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Giovanni Noselli, Associate Professor
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Luca Rizzi, Associate Professor
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Ricardo Grande Izquierdo, Assistant Professor
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Pasquale Claudio Africa, Assistant Professor
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Pavlo Gavrylenko, Assistant Professor
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Michele Girfoglio, Assistant Professor
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Beatrice Langella, Assistant Professor
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Federico Pichi, Assistant Professor
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Niccolò Tonicello, Assistant Professor
Former Faculty Members
Former ProfessorsVisiting Professors
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Rodica Toader, Università di Udine
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Andrea Mola, IMT Lucca
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Giovanni Stabile, Visiting Professor
External Collaborators
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Giorgio Stefani, Research fellow
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Andrea Mondino, University of Warwick
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Karl-Theodor Sturm, University of Bonn
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Luca Biasco, Universita' di Roma 3
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Michela Procesi, Universita' di Roma 3
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Davide Torlo, Università di Roma La Sapienza
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Giuseppe Savaré, Università di Pavia
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Massimiliano Morini, Università di Parma
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Federico Murgante, Università di Milano
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Francesco Ballarin, Università Cattolica, Brescia
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Shouhei Honda, Tohoku University
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Peter Bürgisser, Technische Universität Berlin
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Luigi Ambrosio, SNS, Pisa
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Régis Christian Turuban, Scuola Superiore Sant’Anna
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Saugata Basu, Purdue University
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Claudio Altafini, Linköping University
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Shin-ichi Ohta, Kyoto University
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Erik Lundberg, Florida Atlantic University
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Ugo Boscain, Ecole Polytechnique di Parigi
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Giovanni Bellettini, Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche Università di Siena
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Chris Peterson, Colorado State University
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Enrique Delgado Avila, External Collaborator
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Nicola Giuliani, External Collaborator
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Alessandro Lucantonio, External Collaborator
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Nirav Vasant Shah, External Collaborator
Temporary Scientific Staff
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Ankur Ankur, Research Fellow
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Rahul Halder, Other
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Ali Kabalan Ammar, Research fellow
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Elvin Babayev, Research fellow
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Kabir Bakhshaei, Research fellow
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Samuel Borza, Research fellow
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Rossella Della Marca, Research fellow
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Giuseppe Alessio D’Inverno, Research fellow
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Matteo Gaibotti, Research fellow
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Matteo Gallone, Research fellow
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Arash Hajasharifi, Research fellow
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Nikita Klyushnev, 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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Ivan Prusak, Research fellow
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Surabhi Rathore, Research fellow
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Felix Rott, Research fellow
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Emeric Roulley, Research fellow
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Giovanni Russo, Research fellow
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Pietro Maria Santucci, Research fellow
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Giorgio Stefani, Research fellow
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Jan Zavodnik, Research fellow
Support Staff
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Sara Anzuinelli, iNEST project
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Alberto Cavazza, iNEST project
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Ottavio Crivaro, iNEST project
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Karin Malaspina, iNEST project
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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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Giulio Ortali, PhD Student (in cotutela with TU/Eindhoven)
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Irene Anello, PhD Student
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Lorenzo Bardone, PhD Student
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Ariel Surya Boiardi, PhD Student
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Fabrizio Caragiulo, PhD Student
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Antonio Pedro De Azevedo Bezerra Vitor Ramos, PhD Student
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Harshith Gowrachari, PhD Student
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Moaad Khamlich, PhD Student
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Sajad Salavatidezfouli, PhD Student
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Pierfrancesco Siena, PhD Student
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Diego Silimbani, PhD Student
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Daniele Tiberio, PhD Student
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Simone Vincini, PhD Student
Third Year Students
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Anouar Dahdah, PhD Student (PNRR DM 352, in collaborazione con Siemens AG)
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Lorenzo Fabris, PhD Student (PNRR DM 352, in collaborazione con Fincantieri S.p.A.)
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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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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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Pranjivan Mehta Pavan, PhD Student (PNRR DM 351, tema patrimonio culturale)
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Thomas Beretti, PhD Student
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Giuseppe Cosma Brusca, PhD Student
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Davide Donati, PhD Student
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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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Michele Motta, PhD Student
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Maria Teresa Rotolo, PhD Student
Second Year Students
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Guglielmo Padula, PhD student (PNRR iNEST in collaboration with OGS)
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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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Nicola Clinco, Phd student (PNRR DM 118, digital and environmental transitions in collaboration with the Sorbonne Université in Paris)
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Tommaso Barbieri, PhD Student
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Isabella Carla Gonnella, PhD Student
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Antonio Milosh Radakovic, PhD Student
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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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Matteo Zanardini, PhD Student
First Year Students
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Giovanni Canali, PhD student (PNRR DM 630, in collaboration with Fincantieri S.p.A.)
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Filippo Olivo, PhD student (PNRR DM 630, in collaboration with FAST Computing S.r.l)
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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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Luca Edoardo Mosconi, PhD student (PNRR DM 629, digital and environmental transitions)
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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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Mustafa Ramadan, PhD student (EarthSafe project)
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Hammad Kahliq, PhD student (BLESSED project)
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Qusain Haider, PhD student (EarthSafe project)
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Riccardo Berforini D'Aquino, PhD Student
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Francesco Magni, PhD Student
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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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Rizwanullah Rizwanullah, PhD Student
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Nicolò Tedesco, PhD Student
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Lorenzo Tomada, 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).