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Course objectives

The PhD in Mathematical Sciences aims to provide its students with a high-level education that is addressed towards a professional or academic career in the area of mathematics and its applications. It aims to provide PhD fellows all necessary skills to perform a highly qualified research activity, also of an interdisciplinary nature, both at academic and non-academic institutions. The quality of our doctoral students from previous years, and therefore our ability to achieve the above-mentioned goals, is witnessed by their excellent position both in international academic institutions and in private companies. The faculty of the "Tullio Levi-Civita" Mathematical Department includes about a hundred researchers, who cover many research areas of modern mathematics. This allows the PhD in Mathematical Sciences to offer not only an introduction to research, but also a vast educational offer. Our PhD students, therefore, can get acquainted with techniques and concepts from different fields of mathematics, thus receiving a wide cultural education.

Educational activities

The number of PhD fellowships may change every year, its average being of about ten. Every PhD fellow is assigned a desk in the part of Department building that is devoted to PhD students: this allows to create a good research community and environment. Extensive seminar activities are held every year within the Department of Mathematics. The educational offer includes both topics of wide interest and more advanced research oriented courses.

The activities in the Catalogue are of three types.
1.Courses offered by the Graduate School (= Courses of the Doctoral Program)
2.Courses offered by one of its curricula.
3.Other activities:
 a) selected courses offered by the PhD school in Information Engineering;
 b) selected courses offered by other PhD schools or other Institutions;
 c) reading courses

Doctoral students—within the first two years—must take at least six courses, passing exams in at least four of them. For courses without exams, a brief report is required in the report for admission to the following year. These teaching activities are complemented by training opportunities for transversal skills that take into account the specific nature of the PhD program in mathematics and potential career opportunities, such as active participation in outreach and orientation events and themed meetings with topics agreed upon annually, based on the students' requests and needs.

Research areas

The PhD Program in Mathematical Sciences offers two doctoral curricula, one in Mathematics and on in Computational Mathematics. The PhD Program offers a high qualification training and research opportunity in all the research areas represented in the Department, that include Algebra, Geometry, Mathematical Analysis, Mathematical Logic, and Mathematical Physics for the Mathematics area, and Mathematical Finance, Numerical Analysis, Optimization, and Probability for the Computational Mathematics area.

Interested people are suggested to visit the web page of the Department of Mathematics that is devoted to the research topics, at the URL https://dottorato.math.unipd.it/research_theses/research

Professional profile

Working activities after the PhD may include:

• Research and teaching both in universities and in research institutions.
• Banks, insurance companies: Expert in financial analysis and forecasts, quantitative assessment of the risk associated with productive and/or financial investment and definition of resource allocation policies.
• Expert in distribution logistics for the optimization of activities such as customer service, demand forecasting, communication management, inventory management, material handling, scheduling, location of factories and warehouses, transport (including airports) and distribution, warehousing and storage.
• Expert in the processing and management of large amounts of data using Data Science mathematical tools.
• Expert and developer of numerical methods and applied modeling in companies, public and private companies and research centers.

  Curriculum

• Mathematics
• Computational Mathematics

  Other information

• Calls and Admissions
• Administrative information
• The International PhD guide