PhD programmes - Science and Technology
Doctoral programme
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Manifesto and Courses

There are several courses organised by the School that students may attend depending on their individual curriculum.
All courses will be held at the Department of Mathematics except where differently indicated.

Manifesto of Studies

According to art. 6 of the "Regolamento interno del corso di dottorato in Matematica", the document "Manifesto of Studies Doctoral School in Matematics" (see the download box at the bottom) contains the list of courses, along with the rules that must be respected. As goes for rules not included here, we refer to the "Regolamento interno del corso di dottorato in Matematica".

According to  the "Manifesto of Studies of the Doctoral School in Mathematics" we recall the following rules.

A candidate for the Ph.D. Degree in Mathematics must complete three courses, relevant to their research topic and taken from those presented in the Manifesto of Studies.

Doctoral students must present their study plan, in accordance with their advisor, no later than January 31, 2023. Possible other courses of interest, not listed in the Manifesto of Studies, can be introduced in the study plan if accompanied by a motivation for their choice and in agreement with the student’s supervisor.

Any modification to the study plan, agreed with the supervisor, must be submitted no later than April 30, 2023.

Generally, all examinations must be completed within the end of July. In case of failure to do so, the student must present a motivation letter requesting for an extension. This must be submitted to the Director of the Doctoral School in Mathematics by 31 July 2023 (Doctoral School Committee dated 13/10/2021).

The School Committee, in accordance with the advisor, can ask for the presence in a student’s study plan of any specific course which is regarded of particular interest for the scientific education of the student.

Doctoral students are required to participate in the “Math Bites” and “Doc in Progress” seminars, organized by the research groups of the Doctoral School, and to other activities (such as workshops, summer schools, and others) as proposed by their advisors.

Students of the curriculum “e. Mathematical applications to Quantum Science and Technologies” may choose their courses also among those in the Manifesto of the Q@TN Interdisciplinary Ph.D. School.

Courses for the academic year 2022/2023

  • Advances in Algebra: Advances in computational algebra (Alessandra Bernardi) - CANCELLED
  • Advances in Cryptography and Codes: Advanced algebraic and geometric methods for the construction of minimal codes (Matteo Bonini, Marco Calderini, Alessio Meneghetti)
  • Advances in Cryptography and Codes: enrollment, authentication, authorization, and all that (Roberto Carbone, Silvio Ranise, Giada Sciarretta)
  • Advances in Mathematical Analysis: singularities in Geometric Measure Theory (Andrea Marchese)
  • Advances in Numerical Analysis and Mathematical Modelling: Multi-agent interaction models, from control to learning across scales (Giacomo Albi, Mauro Bonafini) - Verona
  • Advances in Operations Research: Mathematical Programming (Romeo Rizzi, Alice Raffaele)
  • The courses of the Transdisciplinary program in Quantum Science and Technologies

Additional courses borrowed from the Master Degree in Mathematics

  • Advanced Calculus of Variations (Marco Bonacini)
  • Advanced Cryptography (Edoardo Ballico)
  • Advanced Geometry (Roberto Pignatelli)
  • Advanced Statistical methods (Claudio Agostinelli)
  • Algebraic Geometry II (Luis Eduardo Solá Conde)
  • Bayesian Statistics (Pier Luigi Novi Inverardi, Claudio Agostinelli)
  • Geometry and Topology for Data Analysis (Alessandro Oneto)
  • Geometric Analysis (Lorenzo Mazzieri) 
  • Geometric Measure Theory (Andrea Marchese)
  • Graphical Models and Network Science (Veronica Vinciotti) 
  • Homological Algebra (Lidia Angeleri, Francesca Mantese) - Verona
  • Introduction to Algebraic Geometry and Commutative Algebra (Rosanna Laking) - Verona
  • Lectures on Elliptic equations (Alessandro Carlotto)
  • Mathematical Physics: Differential geometric methods (Enrico Pagani)
  • Mathematical Physics: Quantum Relativistic Theories (Valter Moretti)
  • Models of arthropod population dynamics and vector-borne infections (Andrea Pugliese, Rachele Nieri, Giorgio Guzzetta, Piero Poletti) 
  • Parameter estimation for models in biology (Federico Reali) 
  • Set theory (Stefano Baratella)
  • Stochastic Differential Equations (Michele Coghi)

The schedule of PhD courses will be available in the download box.
Information for courses borrowed from the master's degree: Lessons timetable

For more information about the courses, see the Manifesto in the download box below.

Transdisciplinary programme in Quantum Science and Technologies

A transdisciplinary programme in Quantum Science and Technologies is a secondary programme that gives to the PhD candidate didactic and research traning on a complementary discipline.
The specific aims are:

  1.  Promotion of transdisciplinary research in the Doctoral Course
  2.  Training of PhD candidates with transdisciplinary competences
  3.  Increase of the external collaborations

PhD students can apply for the program within 2 months of enrolling in the PhD program by sending an e-mail to phd.maths [at] and attaching as required by the "TRANS-DISCIPLINARY PROGRAM IN SCIENCE AND QUANTUM TECHNOLOGY (TPQST)":

  • A motivation letter (other than the one presented for applying to the Ph.D., if any), specifying the reasons why the candidate deems her / his research project of interest for the field of QST.
  • A brief research proposal, formally approved by the student's tutor or advisor.