Ph.D. in Mathematics

Courses a.y. 2019-2020

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BASIC ▾ N : 29 ⇧

Course name	Note	Period
ALGEBRAIC GEOMETRY I (GE410)	ALGEBRAIC GEOMETRY I (GE410) The course might be held in Italian	Semester I
Lucia CAPORASO ( caporaso@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
ALGEBRAIC TOPOLOGY (GE450)		Semester I
Giulio CODOGNI ( codogni@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
COMPUTABILITY AND COMPLEXITY (IN410)		Semester I
Marco PEDICINI ( marco.pedicini@uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
CRYPTOGRAPHY WITH PUBLIC KEY (CR410)	CRYPTOGRAPHY WITH PUBLIC KEY (CR410) The course might be held in Italian	Semester I
Francesca MEROLA ( merola@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
MATHEMATICAL METHODS FOR APPLIED SCIENCES (MA430)		Semester I
Renato SPIGLER ( spigler@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
ORDINARY DIFFERENTIAL EQUATIONS (AM430)		Semester I
Luigi CHIERCHIA ( luigi@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
PARALLEL AND DISTRIBUTED COMPUTING (IN480)		Semester I
Alberto PAOLUZZI ( paoluzzi@dia.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
PROBABILITY THEORY (CP410)		Semester I
Pietro CAPUTO ( caputo@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
PROGRAMMING LANGUAGES (IN490)		Semester I
Flavio LOMBARDI ( lombardi@mat.uniroma3.it - CNR ) ⇧
QUANTUM MECHANICS (FS420)		Semester I
Vittorio LUBICZ ( lubicz@fis.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
ADVANCED TECHNICS IN COMPUTER SCIENCE (IN430)		Semester II
Flavio LOMBARDI ( lombardi@mat.uniroma3.it - CNR ) ⇧
ALGORITHMS IN CRYPTOGRAPHY (IN450)		Semester II
Marco PEDICINI ( marco.pedicini@uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
APPLIED AND INDUSTRIAL MATHEMATICS (MA410)	APPLIED AND INDUSTRIAL MATHEMATICS (MA410) The course might be held in Italian	Semester II
Roberto FERRETTI ( ferretti@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
COMBINATORIAL OPTIMIZATION (IN440)		Semester II
TO BE DEFINED - ⇧
COMMUTATIVE ALGEBRA (AL410)	COMMUTATIVE ALGEBRA (AL410) The course might be held in Italian	Semester II
Margherita LELLI CHIESA ( margherita.lellichiesa@uniroma3.it - Universita degli Studi Roma TRE ) ⇧
COMPUTATIONAL FINANCE (MF410)	COMPUTATIONAL FINANCE (MF410) The course might be held in Italian	Semester II
Francesco Cesarone ( francesco.cesarone@uniroma3.it - Universita degli Studi Roma TRE ) ⇧
DIFFERENTIAL GEOMETRY (GE430)	DIFFERENTIAL GEOMETRY (GE430) The course might be held in Italian	Semester II
Massimiliano PONTECORVO ( max@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
GRAPH THEORY (GE460)	GRAPH THEORY (GE460) The course might be held in Italian	Semester II
ANA Margarida MASCARENHAS MELO ( melo@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
MATHEMATICAL PHYSICS (FM410)	MATHEMATICAL PHYSICS (FM410) The course might be held in Italian	Semester II
Livia CORSI ( lcorsi@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
MATHEMATICS TEACHING LABORATORY (MC430)		Semester II
Corrado FALCOLINI ( falco@mat.uniroma3.it - Universita degli Studi Roma TRE ) ⇧
NUMBER THEORY (TN510)		Semester II
Francesco PAPPALARDI ( pappa@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
NUMERICAL ANALYSIS (AN420)		Semester II
SIMONE CACACE ( cacace@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
PHYSICS TEACHING LABORATORY (FS410)		Semester II
TO BE DEFINED - ⇧
SOBOLEV SPACES AND PDE (AM420)		Semester II
Pierpaolo ESPOSITO ( esposito@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
STOCHASTIC PROCESSES (CP420)		Semester II
Fabio MARTINELLI ( martin@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
THEOREMS IN LOGIC (LM420)	THEOREMS IN LOGIC (LM420) The course might be held in Italian	Semester II
Lorenzo TORTORA DE FALCO ( lorenzo.tortoradefalco@uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
THEORIES IN LOGIC (LM430)	THEORIES IN LOGIC (LM430) The course might be held in Italian	Semester II
Lorenzo TORTORA DE FALCO ( lorenzo.tortoradefalco@uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
THEORY OF RELATIVITY (FS430)		Semester II
Giorgio ARCADI ( giorgio.arcadi@uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
FUNCTIONAL ANALYSIS (AM450)	FUNCTIONAL ANALYSIS (AM450) 36 h	Semester II -
Emanuele HAUS ( ehaus@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧

INTERMEDIATE ▾ N : 8 ⇧

Course name	Note	Period
MACHINE LEARNING (IN550)		Semester I
FILIPPO CASTIGLIONE ( filippo.castiglione@cnr.it - CNR ) ⇧
NUMERICAL ANALYSIS FOR PDES (AN430)		Semester I
Luciano TERESI ( luciano.teresi@uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
ALGEBRAIC GEOMETRY II (GE510)	ALGEBRAIC GEOMETRY II (GE510) The course might be held in Italian	Semester II
Angelo Felice LOPEZ ( lopez@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
ALGEBRAIC NUMBER THEORY (AL420)		Semester II
Fabrizio BARROERO ( barroero@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
COMPUTATIONAL TOPOLOGY (IN540)		Semester II
Alberto PAOLUZZI ( paoluzzi@dia.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
ELLIPTIC CRYPTOSYSTEMS (CR510)		Semester II
Filippo VIVIANI - villani.antonio@gmail.com ⇧
MONTECARLO METHOD (FS510)		Semester II
Roberto FRANCESCHINI ( franceschini@fis.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
SYSTEMS FOR INFORMATION PROCESSING (IN530)		Semester II
Marco LIVERANI ( liverani@mat.uniroma3.it - Universita degli Studi Roma TRE ) ⇧

SPECIAL ▾ N : 5 ⇧

Course name	Note	Period	Time Table
MULTI-SCALE ANALYSIS OF REACTION-DIFFUSION PARTICLE SYSTEMS Multi-scale analysis of reaction-diffusion particle systems Abstract: This course focus on the (microscopic) analysis of stochastic processes on particle systems. A few examples include spread of infection among moving particles, the frog model or stochastic combustion model, activated random walks, growth processes with competition, and branching random walk with interactions. A common feature of such models is that correlations do not decay exponentially fast, which brings serious challenges to the application of standard techniques of analysis, such as renormalization techniques and comparison with independent percolation. Recently, there has been very important progress in this field, with most new results employing a so-called multi-scale analysis to control the dependences in the model. Multi-scale analysis proved to be an extremely powerful technique; it has been employed in areas beyond particle system, one notable example being the study of random interlacements, where it has been playing a fundamental role. Despite its power, a multi-scale analysis can be quite involved to implement and can become very technical. In particular, it usually needs to be developed from scratch for each application as it needs to be tailored to each specific question being analyzed. The goal of this course is to explain the multi-scale analysis in a didactic and comprehensible way, demystifying this technique, and explaining its main aspects (the ones that are common to most applications) and the most common variations. In order to do this we will concentrate on one problem: the analysis of the spread of an infection among particles that move as independent simple random walks.
Alexandre STAUFFER ( astauffer@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
INTRODUZIONE ALLE VARIETÀ RAZIONALI E AI PROBLEMI DI RAZIONALITÀ (GE520)		Begins February, 24 2020
Alessandro VERRA ( verra@mat.uniroma3.it - Dipartimento di Matematica e Fisica ) ⇧
PYTHON SECOND EDITION Python second edition The second edition of Python@RomaTRE will be hosted on Microsoft Teams platform. Like last year we're going to explore the most advanced concepts of Python programming. This year, due to the current unforeseen situation, we'll have to access our lessons via the Web. Lessons will be given on 19 May, 26, May, 3 June, and 9 June from 14:30 to 18:30. Half time will be focused on theory, while on the other half you may test what we've explained through specific exercises that will skill you in python programming. From 5th May we'll open to subscriptions with a web site (http://paolacelio.it) where you can find all tools necessary for following seminars and testing code (a virtual machine devoted to machine learning development, exercises, literature, and ofc lessons). Lessons will be helded by dr Paola Celio (Dipartimento di Matematica e Fisica Università degli Studi Roma TRE), dr Pietro Corsi (Dipartimento di Scienze Università degli Studi Roma TRE), dr Sergio Lins (Dipartimento di Scienze di base e applicate per l'ingegneria Università degli Studi La Sapienza)		May- June 2020
Paola CELIO ( celio@fis.uniroma3.it - Universita degli Studi Roma TRE ) Corsi Pietro ( pietro.corsi@uniroma3.it - Universita degli Studi Roma TRE ) Sergio Augusto Barcelo Lins ( - Universita La Sapienza ) ⇧
PYTHON BASICS Python Basics Python Basics consists in a series of 8 lessons hosted at Dipartimento di Matematica e Fisica - Università degli Studi Roma TRE. The seminars will cover the fundamentals of Python, starting from the basics. A relevant of part of the seminars will be devoted to hands-on exercises, which we strongly recommend to the attendees. No prior knowledge of Python is required. Starting from really basic notions, the students will get acquainted with the standard programming techniques used in Python; moreover, to test the competences acquired by the students, the last 2 lessons will be devoted to the implementation of an actual problem that subsumes most of what has been explained during the lessons. A certificate of attendance will be issued to all participants.		Nov-Dec 2019
Paola CELIO ( celio@fis.uniroma3.it - Universita degli Studi Roma TRE ) Corsi Pietro ( pietro.corsi@uniroma3.it - Universita degli Studi Roma TRE ) Sergio Augusto Barcelo Lins ( - Universita La Sapienza ) ⇧
TWO-DIMENSIONAL PROBLEMS WITH CRITICAL NONLINEARITY (MINI-COURSE)		Sept-Oct, 2019
Marcello Lucia ( - City University of New York ) [Material ] ⇧

ONLINE COURSES (GSSI-SISSA) ▾ N : 3 ⇧

Course name	Note	Period	Time Table
GINZBURG-LANDAU THEORY OF SUPERCONDUCTIVITY Ginzburg-Landau Theory of Superconductivity A series of three online minicourses in mathematical quantum mechanics and field theory, organized by Serena Cenatiempo (GSSI), Gianfausto Dell’Antonio and Marcello Porta, Each minicourse will consist in two lectures of two hours. The minicourses will have an introductory scope, no particular background on the topics will be assumed. You can find the abstracts of the minicourses and some introductory references at: https://indico.gssi.it/event/127/ <https://indico.gssi.it/event/127/> Participants are kindly asked to register on the webpage. Below, you can find the zoom link of all the lectures.		semester II
Michele Correggi ( - Politecnico di Milano ) https://indico.gssi.it/event/127/ - ⇧
STOCHASTIC QUANTIZATION Stochastic Quantization A series of three online minicourses in mathematical quantum mechanics and field theory, organized by Serena Cenatiempo (GSSI), Gianfausto Dell’Antonio and Marcello Porta. Each minicourse will consist in two lectures of two hours. The minicourses will have an introductory scope, no particular background on the topics will be assumed. You can find the abstracts of the minicourses and some introductory references at: https://indico.gssi.it/event/127/ <https://indico.gssi.it/event/127/> Participants are kindly asked to register on the webpage. Below, you can find the zoom link of all the lectures.		semester II
Massimiliano Gubinelli ( - University of Bonn ) https://indico.gssi.it/event/127/ - ⇧
THE SCALING LIMIT OF NON-INTEGRABLE ISING MODELS The scaling limit of non-integrable Ising models A series of three online minicourses in mathematical quantum mechanics and field theory, organized by Serena Cenatiempo (GSSI), Gianfausto Dell’Antonio and Marcello Porta . Each minicourse will consist in two lectures of two hours. The minicourses will have an introductory scope, no particular background on the topics will be assumed. You can find the abstracts of the minicourses and some introductory references at: https://indico.gssi.it/event/127/ <https://indico.gssi.it/event/127/> Participants are kindly asked to register on the webpage. Below, you can find the zoom link of all the lectures.		semester II
Alessandro GIULIANI ( - Universita degli Studi Roma TRE ) https://indico.gssi.it/event/127/ - ⇧

Institution
LA SAPIENZA - PHD SCHOOL IN MATHEMATICS
LA SAPIENZA - PHD SCHOOL IN MATHEMATICS FOR ENGINEERING
TOR VERGATA - PHD SCHOOL IN MATHEMATICS

Ph.D. in Mathematics

Courses a.y. 2019-2020

Courses by Type (click on type to see its courses)

BASIC ▾ N : 29 ⇧

ALGEBRAIC GEOMETRY I (GE410)

CRYPTOGRAPHY WITH PUBLIC KEY (CR410)

APPLIED AND INDUSTRIAL MATHEMATICS (MA410)

COMMUTATIVE ALGEBRA (AL410)

COMPUTATIONAL FINANCE (MF410)

DIFFERENTIAL GEOMETRY (GE430)

GRAPH THEORY (GE460)

MATHEMATICAL PHYSICS (FM410)

THEOREMS IN LOGIC (LM420)

THEORIES IN LOGIC (LM430)

FUNCTIONAL ANALYSIS (AM450)

INTERMEDIATE ▾ N : 8 ⇧

ALGEBRAIC GEOMETRY II (GE510)

SPECIAL ▾ N : 5 ⇧

Multi-scale analysis of reaction-diffusion particle systems

Python second edition

Python Basics

ONLINE COURSES (GSSI-SISSA) ▾ N : 3 ⇧

Ginzburg-Landau Theory of Superconductivity

Stochastic Quantization

The scaling limit of non-integrable Ising models

IN OTHERS UNIVERSITIES ▾ ⇧

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