# Overview

The PhD program has started in October 2018 with the main support of the Department of Mathematics, UniPV, under the National Grant “Department of Excellence” (see also University news) and the support of the Institute of Computational Sciences (ICS), of the Universita` della Svizzera Italiana (USI).

**University Partners:**

- Department of Mathematics “F. Casorati”, UniPV
- Department of Physics, UniPV
- Department of Political and Social Sciences, UniPV

**Other Partners***:*

- National Neurological Research Institute Mondino
- IMATI – CNR: Institute for Applied Mathematics and Information Technologies “Enrico Magenes”
- Sea Vision
- Generali

**Objectives**

Models, mathematics, statistics, data and algorithms are the foundations of our digital world. Computational methods and mathematical analysis are increasingly used for simulation, prediction, data evaluation, analysis, risk assessment, development and optimization, in virtually every field of Science.

The PhD in “*Computational Mathematics and Decision Sciences”* aims at offering graduate students solid skills in Computational Mathematics, Computational Physics, Scientific Computing, Statistics, Decision Sciences, Optimization, Machine Learning, as well as an interdisciplinary view of Applied Mathematics, Physics and decision processes under uncertainty. The program gives a solid theoretical and computational grounding for high level research in universities, international research institutions and industry.

This international PhD program is organized jointly with the Institute of Computational Sciences (ICS) of the Universita` della Svizzera Italiana (USI). It is also a multidisciplinary PhD program with Faculty from the Departments of Mathematics, Physics, Computer Engineering, Political Sciences of UniPV and the Fondazione Mondino IRCCS, the IMATI-CNR Institute and the National Institute of Nuclear Physics (INFN).

Prospective PhD students with strong mathematical background and a desire for theoretical and applied research in areas of Computational Mathematics and Physics, Scientific Computing, Decision Sciences and Operations Research, Statistics, Optimization, are encouraged to apply.

**Research areas**

**Matematica Computazionale, Analisi e Modellistica Matematica:**modelli differenziali alle derivate parziali e applicazioni, analisi non lineare e funzionale, modelli e metodi variazionali, calcolo delle variazioni;**Analisi Numerica e Calcolo Scientifico:**metodi numerici per la risoluzione di equazioni ordinarie e alle derivate parziali (elementi finiti, spettrali, isogeometrici), approssimazione di dati e funzioni, algebra lineare numerica, calcolo parallelo e distribuito, simulazione numerica;**Ottimizzazione e Ricerca Operativa:**metodi di Ottimizzazione, programmazione convessa, intera, quadratica, nonlineare, algoritmi di Ottimizzazione, problemi di controllo;**Biomatematica:**modellistica matematica e numerica in Biologia, Fisiologia, Neuroscienze, Cardiologia computazionale, Epidemiologia;**Fisica Matematica:**teorie cinetiche, mezzi granulari, meccanica statistica, equazioni di diffusione, sistemi iperbolici e applicazioni, modellistica socio-economica;**Fisica Computazionale e Biofisica:**metodi matematici e informatici nella Fisica delle Particelle Elementari e delle Alte Energie, metodi di Monte Carlo, quantum computing, modelli biofisici e codici Monte Carlo per Radioterapia e Adroterapia;**Statistica Computazionale:**Statistica Multivariata e analisi dei dati, Statistica Bayesiana, modelli analitici per i Big Data, Modelli di Data Science;**Scienze delle Decisioni:**modelli per decisioni, scelte con incertezza e rischio, teoria dei giochi;**Machine Learning, Artificial Intelligence, Computational Intelligence:**algoritmi di Machine Learning, Statistical Learning, Artificial Neural Networks, Deep Learning; applicazioni alle Neuroscienze, Neuroimaging, Cardiology, Epidemiology.

**Teaching**

The 3-year PhD program is organized into one and a half years of courses and seminars, followed by one and a half years of research activities leading to the doctoral thesis. Multidisciplinary interchange with other graduate programs in the PhD schools of Pavia, USI Lugano and the other participating Institutes and international partners is also encouraged.

Perspective students follow a personalized program by selecting both core and specialized courses in their field of interest and conducting original research under the supervision of a faculty member.

The Faculty of the PhD in “*Computational Mathematics and Decision Sciences”* includes internationally well-known scholars in the fields of Computational Mathematics, Physics, Statistics and Decision Sciences.

**Career opportunities**

The main career opportunities offered by the PhD in Computational Mathematics and Decision Sciences are careers at universities and at public and private research institutions, both in Italy and abroad; employment in industries to carry out research, modeling, data analysis, etc.; employment with consulting and information technology companies; statistical and financial consulting activities; banks and insurance companies.

**XXXIV cycle (2018 – 2021), 6 PhD students**

- 2 scholarships from the Department of Mathematics “F. Casorati”
- 1 scholarship from USI
- 1 scholarship from the Mondino Institute, to undertake research in “, to undertake research in “Machine Learning and Deep Learning models in Neurosciences and Neuroimaging”
- 1 PhD executive (BPM)
- 1 research contract

**XXXV cycle (2019 – 2022) 7 PhD students.**

- 2 scholarships funded by the Department of Mathematics “F. Casorati”
- 1 scholarship funded by USI
- 1 scholarship funded by the Department of Political and Social Sciences (Analytics Solution Center – Assicurazioni Generali funds), to undertake research in “Machine Learning and Deep Learning algorithms for image recognition and classification”
- 1 scholarship funded by the Department of Political and Social Sciences (Sea Vision S.r.l. funds), to undertake research in “Deep learning for Computer Vision and Industrial Automation”
- 1 scholarship from the Mondino Institute
- 1 PhD executive (SANOFI)

**XXXVI cycle (2020 – 2023), 6 PhD students.**

- 2 scholarships funded by the Department of Mathematics “F. Casorati”
- 1 scholarships funded by the Department of Mathematics “F. Casorati” and the Institute IMATI – CNR, to undertake research in “Solution of partial differential equations in complex geometries and Machine Learning techniques”
- 1 scholarship funded by USI
- 1 scholarship from the Mondino Institute, to undertake research in “Machine Learning and data fusion for the analysis of neuroimages in neurodegenerative pathologies ”
- 1 scholarship funded by UniPV reserved to foreign students