Courses and Requirements

CYCLE 42nd - COHORT 2026-2027

Please note that the study plan might be subject to minor changes.

Lessons start in early September.

The program requires full-time commitment with compulsory attendance.

First year - a.y. 2026-27

4 compulsory courses + 2 electives

+ Research Ethics course (compulsory self-managed online course)

+ Analysis and Applied Mathematics seminars and related Research activities organized by the Decision Sciences Department

Compulsory courses:

SEM.	CODE	COURSE TITLE	HOURS	COURSE DIRECTOR
1	41088	GEOMETRIC AND FUNCTIONAL ANALYSIS I	24	DE ROSA
1	41089	PARTIAL DIFFERENTIAL EQUATIONS I	24	BECKER
2	41090	GEOMETRIC AND FUNCTIONAL ANALYSIS II	24	PIGATI
2	41091	PARTIAL DIFFERENTIAL EQUATIONS II	24	BRUÈ
1-2		PRINCIPLES OF RESEARCH ETHICS	2

2 electives chosen among the following courses (within July) belonging to other PhD programs:

SEM.	CODE	COURSE TITLE	HOURS	PhD Program	COURSE DIRECTOR
1	40215	FINANCE 2	36	ECFIN	ORTU
2	40945	CONTINUOUS TIME FINANCE	24	ECFIN	BATTAUZ
1	40053	MICROECONOMICS 2	36	ECFIN	BATTIGALLI
1	40999	OPTIMIZATION	24	STAT-CS	CELLI
2	41000	GRAPH THEORY	24	STAT-CS	SANITÀ
2	41001	MODERN APPLIED MACHINE LEARNING	30	STAT-CS	LUCIBELLO
1	40971	PROBABILITY THEORY I	28	STAT-CS	FORTINI
1	40972	PROBABILITY THEORY II	24	STAT-CS	LIJOI
2	40027	STOCHASTIC PROCESSES I	24	STAT-CS	FORTINI
2	41004	DESIGN AND ANALYSIS OF COMPUTER EXPERIMENTS	24	STAT-CS	BORGONOVO
1	40032	INTRODUCTION TO REAL ANALYSIS I	28	STAT-CS	LAVENANT
1	40143	INTRODUCTION TO REAL ANALYSIS II	28	STAT-CS	SAVARE'

Requirements to pass to the next year

Exam for each course (max 1 retake).

Second year - a.y. 2027-28

4 compulsory courses + 1 reading group

+ Open Science For Researchers Workshop (Elective offered by Bocconi Library)

+ Analysis and Applied Mathematics seminars and related Research activities organized by the Decision Sciences Department

SEM.	COURSE TITLE	HOURS	SEM.
1	MATHEMATICAL ECONOMY	24	1
1	MATHEMATICAL FINANCE	24	1
1	MATHEMATICAL MODELS OF APPLIED SCIENCES/ MATHEMATICAL FOUNDATION OF MACHINE LEARNING	24	1
1 or 2	FRONTIERS OF MODERN ANALYSIS	24	1 or 2
1 or 2	SELECTED TOPICS IN MATHEMATICAL ANALYSIS (reading group)	24	1 or 2

Requirements to pass to the next year

Exam for each course (no retakes).

Research project

Third and Fourth year - a.y. 2028-29 and 2029-30

Study/research period at other Universities;
Teaching/Teaching Assistantship/Research Assistantship activities (optional);
conferences (as a listener and as a speaker);
Analysis and Applied Mathematics seminars and related Research activities organized by the Decision Sciences Department;
mid-term doctoral thesis (3rd year);
thesis submission to external reviewers (4th year);
thesis dissertation.