Course name | Note | Period | Time Table |
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![]() ALGEBRAIC GEOMETRY I (GE410)The course might be held in Italian | Semester I | |||
 
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semester I | ||||
 
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![]() CRYPTOGRAPHY WITH PUBLIC KEY (CR410)The course might be held in Italian | Semester I | |||
 
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semester I | ||||
 
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Semester I | ||||
 
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Semester I | ||||
 
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Semester I | ||||
 
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Semester I | ||||
 
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Semester II | ||||
 
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Semester II | ||||
 
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![]() COMMUTATIVE ALGEBRA (AL410)The course might be held in Italian | semester II | |||
 
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![]() COMPUTATIONAL FINANCE (MF410)The course might be held in Italian | Semester II | |||
 
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![]() GRAPH THEORY (GE460)The course might be held in Italian | Semester II | |||
 
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semester II | ||||
 
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semester II | ||||
 
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semester II | ||||
 
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![]() MATHEMATICAL PHYSICS (FM410)The course might be held in Italian | Semester II | |||
 
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Semester II | ||||
 
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Semester II | ||||
 
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Semester II | ||||
 
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RIEMANNIAN GEOMETRY (GE430) | semester II | |||
 
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Semester II | ||||
 
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![]() THEOREMS IN LOGIC (LM420)The course might be held in Italian | Semester II | |||
 
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![]() THEORIES IN LOGIC (LM430)The course might be held in Italian | Semester II | |||
 
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![]() FUNCTIONAL ANALYSIS (AM450)36 h | Semester II - | |||
 
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Course name | Note | Period | Time Table |
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semester I | ||||
 
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Semester I | ||||
 
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semester I | ||||
 
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Semester I | ||||
 
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semester I | ||||
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![]() ALGEBRAIC GEOMETRY II (GE510)The course might be held in Italian | Semester II | |||
 
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Semester II | ||||
 
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HEIGHTS AND DIOPHANTINE EQUATIONS (TN520) | semester II | |||
 
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semester II | ||||
 
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semester II | ||||
 
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Semester II | ||||
 
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semester II | ||||
 
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Course name | Note | Period | Time Table |
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ISTITUZIONI DI DIDATTICA, LOGICA E STORIA DELLA
MATEMATICA
![]() ![]() Istituzioni di Didattica, Logica e Storia della MatematicaTema 1. Didattica: ( docente benedetto Scoppola , sem II) | ||||
 
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TIME SERIES ANALYSIS
![]() ![]() Time series analysis
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ADVANCED TOPICS IN MATHEMATICAL PHYSICS AND PROBABILITY: RENORMALIZATION GROUP AND CRITICAL PHENOMENA IN STATISTICAL MECHANICS
![]() ![]() Advanced Topics in Mathematical Physics and Probability: Renormalization Group and Critical Phenomena in Statistical MechanicsThe goal of the course is to provide an introduction to perturbative Renormalization Group in the context of $phi^4_d$ scalar field models in dimensions $dge 4$. We will discuss the notions of: scaling dimensions; relevant, marginal and irrelevant operators; effective potentials; flow equation and beta function. We will show that the quartic interaction is irrelevant in dimensions $dge 5$ and marginal with negative beta function (sometimes called `marginally irrelevant'), in dimension $d=4$. Time permitting, we will discuss the definition and construction of the non-trivial fixed point for the $phi^4_d$ model in dimension $d=4-epsilon$ (Wilson-Fisher fixed point). | Jan-feb 2024 |
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Nov, Dec, 2023 |
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GEOMETRY AND MECHANICS
![]() ![]() Geometry and MechanicsThe goal of these lessons is to show the relashionships between Continuum Physics and Differential Geometry, starting from the fundamentals of Mechanics. In particular, we show how any typical theory of mathematical-physics is based on two layers: the physical layer – the phenomenon under investigation, and the mathematical model used to represent the physics. We shall discuss in detail some model problems, starting from the theoretical point of view, up to some noteworthy solutions; for each model, we shall show the dual role, mathematical and physical, of the notions that are used. Model problems will be selected together with the students, and chosen among: | semester II | |||
 
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Institution | ||||||
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