DOTTORATO IN MODELLI PER L'ECONOMIA, IL TERRITORIO E LA FINANZA

Offerta formativa anno accademico 2026/2027

Elenco delle attività formative previste per i dottorandi del primo anno
Statistical inference \| I Term data presunta: Nov 2026-Jan 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 24 docente del corso: Di Cecco & Tancredi qualifica: Professore affiliazione: Italiana programma delle attività: Part 1: Statistical models and uncertainty in inference. The Bayesian and frequentist paradigms. Likelihood: observed and expected quantities, exact properties. Invariance properties. Likelihood and sufficiency. Likelihood inference procedures. Consistency of the maximum likelihood estimator. First-order asymptotics and related inference procedures. Profile likelihood. Non-regular models. Misspecification. Composite likelihood. Conditional and marginal likelihood. Intractable models: synthetic likelihood. Part 2: Linear models: OLS. Normal distribution theory. Omitted variables bias. Model checking. Model building. Exponential family models. Generalized linear models. Probit and logit models. Count data. Overdispersion. Log-liner models. modalità di accertamento finale: Final exam
Applied Econometrics \| I Term data presunta: Nov 2026-Jan 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 15 docente del corso: Raffaele Mattera qualifica: Ricercatore affiliazione: Italiana programma delle attività: The course aims to provide a solid introductory foundation in econometrics theory both considering cross-sectional data and time series analyses. It will present conceptual and practical tools, instrumental in the field of regional and territorial analysis on one hand and economic and financial forecasting on the other hand. During the classes, we will use the R software. modalità di accertamento finale: Final assignment
Mathematics \| I Term data presunta: Nov-Dec 2026 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 14 docente del corso: Arsen Palestini qualifica: Professore affiliazione: Italiana programma delle attività: Functions of several variables: Domain of the functions of 2 real variables, level curves, first order partial derivatives, stationary point and their nature, optimization problems with applications in Microeconomics. Differential equations: Ordinary differential equations, basic methods of integration, qualitative analysis on the plane. Dynamical systems: Stationary points, time elimination method, solution curves. modalità di accertamento finale: Final exam
Mathematical Finance \| I Term data presunta: Jan-Febr 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 18 docente del corso: Claudia Ceci qualifica: Professore affiliazione: Italiana programma delle attività: The course aims to provide the tools of probability and continuous-time stochastic processes necessary to deal with the most used mathematical models in finance. It will focus on stochastic calculus for diffusion and jump-diffusion processes and their applications in finance. In particular, hedging and pricing of derivatives will be discussed. modalità di accertamento finale: Submission, by the students, of assignments on the topics covered during the course or completion of exercises.
Data Sources and Indication Theory \| II Term data presunta: Jan-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 8 docente del corso: Luca Salvati qualifica: Ricercatore affiliazione: Italiana programma delle attività: The course aims at introducing participants to the collection, management and elementary analysis of multiple data sources using spreadsheets. A taxonomy of data sources will be provided and information and tools to delineate precision, reliability and suitability. Based on examples and case studies, participants will learn theoretically and practically the specificities of official statistics and ‘non-statistical’ sources. Through a joint forum with data producers (ISTAT) and a take-home practical application, basic notions of indication theory will be offered moving from data management to the construction of indicators and composite indexes. modalità di accertamento finale: Final assignment on data collection and construction of indicators
Spatial Data Analysis Visualization & Mapping \| II Term data presunta: Mar - Jun 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: laboratorio - numero ore: 20 docente del corso: Celata, Martellozzo, Salvati, Sciabolazza qualifica: Professore affiliazione: Italiana programma delle attività: Introduction to the collection, management, analysis, mapping, modelling and visualization of spatial data in a GIS environment. Participants will learn theoretically and practically what the specificities of spatial data and methods are; how to analyze geographical patterns through mapping, spatial analysis, spatial statistics, spatial regressions; how to visualize and communicate the results effectively and reflexively; and will be introduced to examples of applications in data visualization, geospatial analysis, environmental analysis, urban analysis, statistics and economics. modalità di accertamento finale: Practical excercises during the course
Publication Strategies & Academic Writing\| II Term data presunta: May 2027 - tipologia: altro - modalità di erogazione: seminariale - numero ore: 8 docente del corso: Bianchi, Celata, Salvati, Di Feliciantonio, Incelli qualifica: Professore affiliazione: Italiana programma delle attività: The workshop aims to assist Phd candidates in defining their research and publication strategies. The first session will provide a map of publishers, scientific journals, peer-review and evaluation systems, and of contemporary publication practices, as well as of funding opportunities for postdocs, in the main disciplinary fields of the PhD: Economic Geography, Statistics, Finance. The second session will be a workshop in academic writing. modalità di accertamento finale: None
Computational Tools for Finance with Python\| II Term data presunta: Feb-Apr 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: laboratorio - numero ore: 15 docente del corso: Antonio Martire qualifica: Professore affiliazione: Italiana programma delle attività: This course will cover a theoretical introduction to artificial neural networks. After the introduction of the Python language, this will be used to design neural networks to numerically solve partial differential equations and to show use in the financial option pricing framework. modalità di accertamento finale: Students’ presentation of some of the course’s themes in a final seminar
Key Texts & Thinkers in Economic Geography data presunta: Jan - May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: seminariale - numero ore: 15 docente del corso: Cesare Di Feliciantonio qualifica: Ricercatore affiliazione: Italiana programma delle attività: This course will invite students to critically engage with some milestone texts and leading authors in contemporary economic geography. Beyond strengthening participants’ knowledge of fundamental concepts and contributions, the course aims at developing/reinforcing their public speaking skills and confidence together with their analytical skills. For each session one student will be designated to introduce the reading(s). The introduction will be followed by a debate under the coordination of a senior academic. modalità di accertamento finale: Students' presentations
Elements of Copula Theory and Modelling\| II Term data presunta: Feb-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 12 docente del corso: Brunero Liseo qualifica: Professore affiliazione: Italiana programma delle attività: Statistical and probabilistic foundations of copula theory as a framework for modelling dependence. How copulas disentangle marginal behaviour from joint structure in multivariate distributions. Emphasis on key theoretical results. Classical families and modern extensions will be introduced with illustrative examples. The series aims to bridge theory and practice, with applications across statistics, finance, and science. Includes some practicals with R. modalità di accertamento finale: Practical excercises during the course
Programming with Python\| I Term data presunta: Oct 2026-Jan 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: laboratorio - numero ore: 18 docente del corso: Alberto Arcagni qualifica: Professore affiliazione: Italiana programma delle attività: Basics: Python basics, imperative and procedural programming, data structures, object oriented programming. Main packages: numpy: mathematics, scipy: numerical computation et al., pandas: data analysis. sqlite3: databases and data manipulation, declarative programming, matplotlib: basic graphical representation, seaborn: beautiful graphics. Algorithms: simulations, optimization, solving equations, numerical integration. Practical examples include sparse matrices, complex networks, and graph theory. Part 2: simulations and computational techniques, including simulation methodologies, optimization techniques, solving equations, numerical integration, and an introduction to backtracking algorithms. modalità di accertamento finale: Submission of assignments by the students about the topics covered during the course
Economic Geography Seminars \| II Term data presunta: Feb-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: seminariale - numero ore: 12 docente del corso: Di Feliciantonio, Celata qualifica: Professore affiliazione: Italiana programma delle attività: Invited seminars on some of the key emerging research themes and methodologies in economic, environmental, social and urban geography, aimed to engage participants with more experienced scholars, and to introduce them to some of the most recent theoretical and methodological advancements in the field. modalità di accertamento finale: None
Fractional Calculus \| II Term data presunta: 2028 (every two years) - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 10 docente del corso: Massimiliano Frezza qualifica: Ricercatore affiliazione: Italiana programma delle attività: This course will cover both a theoretical introduction to fractional calculus and its application to finance. After the introduction of the concepts of fractional derivatives and fractional integrals, the course will be devoted to analyze the main (multi)fractional processes used in finance to model financial data. modalità di accertamento finale: Students’ paper on some of the course’s themes
Missing Values in Data Mining \| II Term data presunta: Mar-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 12 docente del corso: Domenico Vitale qualifica: Professore affiliazione: Italiana programma delle attività: This course aims to provide a theoretical and practical introduction to multiple imputation, a modern statistical technique for handling missing data which has become increasingly popular because of its generality and recent software developments. modalità di accertamento finale: Submission of assignments by the students about the topics covered during the course
Qualitative Research Methods \| II Term data presunta: Feb-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 20 docente del corso: Cesare Di Feliciantonio qualifica: Ricercatore affiliazione: Italiana programma delle attività: The course aims at introducing some of the main qualitative research methods in geography and social sciences - interviews and focus groups; participant observation and ethnography - emphasizing the importance of integrating research methods. Moreover attendants will familiarize with some key-debates concerning situated knowledge, the positionality of the researcher and ethical issues raised by different research methods. modalità di accertamento finale: Assignments
Spatial Econometrics \| II Term data presunta: Mar-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: laboratorio - numero ore: 15 docente del corso: Barbara Martini qualifica: Professore affiliazione: Italiana programma delle attività: The aim of the course is to provide students with a comprehensive understanding of spatiality, its associated challenges, and the most commonly used models and analysis techniques in spatial econometrics. Special attention will be given to post-estimation and result interpretation. modalità di accertamento finale: Practical excercises during the course
Financial Risk Modeling and Forecasting Using Quantile Regression \| II Term data presunta: Mar-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 12 docente del corso: Luca Merlo & Beatrice Foroni qualifica: Ricercatore affiliazione: Italiana programma delle attività: This 12-hour course aims to offer an introductory overview of the quantile regression framework and its applications in finance and risk analysis. This course will also present the most prominent quantile-based models for forecasting and evaluating tail risk measures. A practical session is included to implement the methodologies discussed in R. modalità di accertamento finale: None
Networks, Complex Networks, and Decision Problems on Networks \| II Term data presunta: Feb-May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 10 docente del corso: Federica Ricca qualifica: Professore affiliazione: Italiana programma delle attività: Graph, networks, and networks optimization models. Complex Networks and structure measures: density and connectivity, centrality, concentration, assortativity, centrality measures based on flows. Applications to decision problems in Economics, Logistics and Finance. modalità di accertamento finale: none
Deep Learning data presunta: Apr - May 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 16 docente del corso: Francesca Panero qualifica: Ricercatore affiliazione: Italiana programma delle attività: This course is about deep learning, covering fundamental concepts of deep learning and neural networks, design of neural network architectures, optimisation methods for training neural networks, and neural networks design for particular purposes such as image recognition, sequence modelling and natural language processing. The labs of the course will be carried out in Python, using TensorFlow, on the Google Colab environment. modalità di accertamento finale: None
Vari altri corsi attivati da altri Dottorati Sapienza data presunta: Oct 2026- Jun 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 40 docente del corso: Vari qualifica: Professore affiliazione: Italiana programma delle attività: Quanto sopra fa riferimento esclusivamente ai corsi di dottorato attivati e gestiti dal nostro Dottorato, e fruiti anche da dottorandi di altri Dottorati Sapienza. I nostri dottorandi partecipano inoltre a corsi attivati e gestiti da altri Dottorati Sapienza, tra i quali: - Public Policy Analysis (PhD DiSSE) \| I Term \| Teachers: d’Albergo & Moini \| Number of hours: 10 \| Period: Dec-Jan \| Type: Ex-cathedra. - Causal Inference with Spatial Data (PhD SESS) \| II Term \| Teacher: Sciabolazza \| Number of hours: 10 \| Period: Maggio \| Type: Laboratory. - Evaluation Methods (PhD DiSSE) \| II Term \| Teachers: Cerqua & Pellegrini \| Number of hours: 15 \| Period: Marzo-Giugno \| Type: Ex-cathedra. - Advanced Evaluation Methods (PhD DiSSE) \| II Term \| Teacher: Cerqua \| Number of hours: 10 \| Period: Aprile-Giugno \| Type: Ex-cathedra. - Economics of Innovation (PhD Eco) \| II Term \| Teachers: Guarascio, Cirillo et al. \| Number of hours: 10 \| Period: May \| CV: geostat (optional) \| Type: Ex-cathedra - Machine Learning for Econometrics (PhD Eco) \| II Term \| Teachers: Bloise, Tancioni, et al. \| Number of hours: 15 \| Period: Marzo-Giugno 2024 \| Type: Laboratory. - Development economics (PhD Disse/Sess) \| II Term \| Teachers: Montalbano, Di Maio \| Number of hours: 20 \| Period: May \| CV: geostat (optional) \| Type: Ex-Cathedra. - Space, cultures and politics in contemporary society (PhD DiSSE) \| II Term \| Teacher: Galdini et al. - Public engagement in scientific research (PhD DiSSE) \| II Term \| Teacher: Manuela Perrotta (Queen Mary). - Courses offered by DoCRA-Doctoral Colloquim on Risk Analytics: https://landing.cafoscarichallengeschool.it/docra/ I dottorandi possono inoltre proporre, d’accordo con i propri tutor, e seguire corsi di dottorato o avanzati erogati da altri atenei in Italia e all'estero. modalità di accertamento finale: Vari
Mathematical Finance Seminars data presunta: Jan-Jun 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: seminariale - numero ore: 8 docente del corso: Coord. by S. Bianchi, V. Bignozzi, C. Ceci, I. Oliva qualifica: Professore affiliazione: Italiana programma delle attività: This seminar series consists of invited talks and mini-courses on key emerging research themes in applied mathematics for finance, economics, and insurance. The aim is to engage participants with leading and experienced scholars in the field and to introduce them to recent theoretical and methodological advances. modalità di accertamento finale:

Eventuali maggiori informazioni piano form. 1°a	PhD students decide with their tutors which courses to attend, among those included in the course calendar and organized by the METF Doctorate. They can also attend additional courses activated by the Doctorate in Economics, by the Doctorate in Social and Economic Sciences, by the European Doctorate in Socioeconomic and Statistical Studies and others, or organized in collaboration with these and other PhD programs in Sapienza. Students can also agree with their tutors to attend any other phd or advanced course organized by other universities in Italy and abroad. The number of hours of compulsory courses for each PhD student is approximately 100. The number of hours of optional courses is generally between 50 and 100 hours.
Modalità di scelta dell'argomento della tesi:	PhD students must send an outline of their research project by the end of September, to be prepared with and approved by their tutors. The document (minimum 2.000 words) includes: 1) the preliminary title, 2) a brief description of the research, its objectives, the theoretical framework, the expected outcome/findings and their contribution to advance the state-of-the-art of research on the topic, 3) a brief description of the methodology, 4) a preliminary structure of the thesis, including its format (book format or three articles), 5) the name(s) of the potential supervisor(s).
Modalità delle verifiche per l'ammissione all'anno successivo	Admission to the 2nd year is decided on October based on the courses attended, the results of the exams and assignments, and the research project outline and public presentation organized at the end of the first year.
Momenti di presentazione, di scambio e di discussione dei risultati di ricerca da parte dei dottorandi	On the basis of the outline of the research project submitted by PhD students in September, one or more public workshops are organized in September and October for PhD students to present and discuss their research project with the PhD Council and with the public.
Attività formative, non incluse nella didattica programmata di cui ai punti precedenti, di docenti con affiliazione estera e/o di studiosi ed esperti sia italiani che stranieri provenienti da enti di ricerca, aziende e da istituzioni culturali e sociali	Katherine Gibson, University of Sydney; Cristina Temenos, University of Manchester; Georgia Alexandri, Karlsruhe Institute of Technology; Manuel Aalbers, KU Leuven; Roberta Capello, Polytechnic of Turin; Paolo Boccagni, University of Trento; Martina Tazzioli, University of Bologna; Giorgio Ferrari, University of Bielefeld and others (tbd).

Elenco delle attività formative previste per i dottorandi del secondo anno
Vari corsi e seminari di Dottorato data presunta: Nov 2026 - July 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 25 docente del corso: Vari qualifica: Professore affiliazione: Italiana programma delle attività: PhD students in their second year attend to some of the courses described above for the first year, and in particular: a) courses of interest that they did not attend during the first year, b) new courses of interest, c) all the seminars. PhD students may, in agreement with their supervisors, attend doctoral or advanced courses offered by other universities in Italy and abroad. modalità di accertamento finale: See first year courses

Eventuali maggiori informazioni piano form. 2°	During the second year there is not an ad-hoc course's schedule. PhD students can participate to any of the first year courses which they didn't attend or postponed to the second year, as well as in courses of various sorts, both in Sapienza and elsewhere, based on their specific research topic.
Modalità delle verifiche per l'ammissione all'anno successivo	Admission to the third year is assessed on the basis of the progress of the PhD research, often presented in a ad-hoc public workshop.
Momenti di presentazione, di scambio e di discussione dei risultati di ricerca da parte dei dottorandi	From the second year, phd students attend to various scientific events such as conferences, seminars, workshops, etc., or training, courses, labs, summer schools or institutes, etc. Those events are organized by the PhD/Department (for example the 'Giornate della ricerca Memotef', or the Sapienza-GSSI 'Space/Economy PhD Workshop'), or by other universities and departments. PhD students are free to choose the activities that are the most appropriate to their research.
Attività formative, non incluse nella didattica programmata di cui ai punti precedenti, di docenti con affiliazione estera e/o di studiosi ed esperti sia italiani che stranieri provenienti da enti di ricerca, aziende e da istituzioni culturali e sociali	See first year courses

Elenco delle attività formative previste per i dottorandi del terzo anno
Vari corsi e seminari di dottorato data presunta: Nov 2026- July 2027 - tipologia: riconducibile al progetto formativo - modalità di erogazione: Ex-cathedra - numero ore: 25 docente del corso: Vari qualifica: Professore affiliazione: Italiana programma delle attività: PhD students in their third year attend to some of the courses described above for the first year, and in particular: a) courses of interest that they did not attend during the first year, b) new courses of interest, c) all the seminars. PhD students may also, in agreement with their supervisors, attend doctoral or advanced courses offered by other universities in Italy and abroad. modalità di accertamento finale: See first year courses

Eventuali maggiori informazioni piano form. 3°	As for the second year, the third year does not include a structured courses' schedule, but PhD students participate in various types of training activities, both at Sapienza and elsewhere, as well as attend and present their research in conferences, lectures, seminars, workshops, summer schools, both in Italy and abroad.
Modalità di ammissione all'esame finale	Admission to the final exam is based on the evaluation of the thesis. To this end, the supervisor(s) communicate his/her/their evaluation to the PhD couincil, and a public workshop is held in which PhD students at the end of the third year presents and discuss their PhD thesis.
Modalità di svolgimento dell'esame finale	The results of the above mentioned workshop, together with the supervisor/s' report, contribute to the decision to admit or not the candidate to the final defense of the thesis. The thesis is then sent to two external reviewers who establish if and when the thesis can be discussed in front of the final commission, and after which revisions and changes. The final discussion is organized to Sapienza's rule for ordinary PhD Theses, Joint PhD Theses, Doctor Europeaus Theses.
Momenti di presentazione, di scambio e di discussione dei risultati di ricerca da parte dei dottorandi	From the second year and particularly during the third, phd students attend to various scientific events such as conferences, seminars, workshops, etc., or training, courses, labs, summer schools or institutes, etc. Those events are organized by the PhD/Department (for example the 'Giornate della ricerca Memotef'), or by other universities or departments. PhD students are free to choose the activities that are the most appropriate to their research. The curriculum in economic geography and territorial statistics co-organizes moreover the following workshops, for the presentation and discussion of the research of PhD students (and postdocs): 1) Space\|Economy PhD Workshop (3rd edition) \| 6-7 March 2025 \| 3rd annual workshop dedicated to doctoral candidates researching in the broad fields of Economic Geography and Regional Science at Sapienza University of Rome and the Gran Sasso Science Institute (L'Aquila). 2) GSSI Cities' research track Workshop \| 27 March 2025 \| Informal workshop for the discussion of ongoing research on urban Issues by PhDs and reserchers. Organized by the Cities' research track of the GSSI in collaboration with the Department Memotef Sapienza. 3) ToRoBo' Critical Geography Workshop \| 6-7 June 2025 \| University of Bologna \| 1st edition of an yearly research workshop organized by the University of Bologna (Claudio Minca), the Polytechnic/University of Turin (Francesca Governa), and Sapienza (Filippo Celata), for the presentation and discussion of ongoing research by PhD candidates and early career researchers.
Attività formative, non incluse nella didattica programmata di cui ai punti precedenti, di docenti con affiliazione estera e/o di studiosi ed esperti sia italiani che stranieri provenienti da enti di ricerca, aziende e da istituzioni culturali e sociali	See first year courses. The above mentioned workshop include often various keynote speakers.