Graduate Courses
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- Academic year 2007-2008
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U. Bruzzo: Introduction to Sheaf Theory
U. Bruzzo: Hodge Theory
G. Carlet: Poisson-Lie groups and Hamiltonian structures for integrable systems
L. Dabrowski: Introduction to Noncommutative Riemaniann Spin Geometry
G. Dell'Antonio: The Mathematics of Quantum Mechanics
B. Dubrovin: O.D.E.'s on complex domain
B. Fantechi: Algebraic Geometry
B. Fantechi: Derived Functors
T. Grava: Riemann surfaces and nonlinear waves
G. Panati: Introduction to quantum dynamics
C. Reina: Representation Theory
A. Tanzini: Topological Field Theories
- Academic year 2006-2007
-
C. Bartocci (Genova): Gauge Theory: an introduction
U. Bruzzo: Hodge Theory
L. Dabrowski: Differential
Geometry
L. Dabrowski: Introduction to Noncommutative
Geometry
G. Dell'Antonio: Mathematical Methods and Problems in Quantum
Mechanics
B. Dubrovin, T. Grava: Riemann Surfaces, Theta-functions and Differential Equations
B. Fantechi: Infinitesimal Deformation Theory
B. Fantechi: Toric Varieties
G. Panati (Roma "La Sapienza"): Introduction to Quantum Dynamics
C. Reina: Representation
Theory
A. Tanzini Topological
Field Theory
- Academic year 2005-2006
-
U. Bruzzo: Sheaf Theory
U. Bruzzo: Moduli Space of Istantons
L. Dabrowski: Differential
Geometry II
L. Dabrowski: Noncommutative
Geometry
L. Dabrowski: Introduction to Noncommutative Riemaniann Spin Geometry
G. Dell'Antonio: Mathematical Methods of Quantum
Mechanics
B. Dubrovin: Hamiltonian Perturbations of hyperbolic PDEs
G. Falqui: Integrable
Systems
B. Fantechi: Algebraic Geometry I
B. Fantechi: Algebraic Geometry II
T. Grava: Riemann
Surfaces and Theta-Functions
C. Reina: Representation
Theory
A. Tanzini Topological
Field Theory
- Academic year 2004-2005
-
U. Bruzzo: Sheaf theory
U. Bruzzo: Instanton moduli spaces
L. Dabrowski: Geometry of the Dirac operator
G. Delfino: Integrable quantum field theories
B. Dubrovin : Geometry and physics
G. Falqui: Geometry of integrable systems
B. Fantechi: Introduction to algebraic geometry
T. Grava: Theta functions and Riemann surfaces
G. Mussardo: Number Theory and Quantum Mechanics
C. Reina: Representation theory
- Academic year 2003-2004
- U. Bruzzo: Introduction to algebraic topology
U. Bruzzo: Sheaf theory
U. Bruzzo: Elliptic curves
L. Dabrowski: Geometry of the Dirac operator
G. Delfino: Integrable quantum field theories
G. Dell'Antonio: Topics in quantum mechanics and quantum field theory
B. Dubrovin : Geometry and physics
G. Falqui: Geometry of integrable systems
B. Fantechi: Introduction to algebraic geometry
T. Grava: Riemann-Hilbert problem
G. Mussardo: Statistical field theory
C. Reina: Representation theory
T.R.Ramadas: Differential geometry
- Academic year 2002-2003
-
U. Bruzzo: Introduction to algebraic topology
U. Bruzzo: Sheaf theory
L. Dabrowski: Introduction to non commutative geometry
G. Delfino: Integrable quantum field theory
G. Dell'Antonio: Wigner function and the semiclassical limit
B. Dubrovin : Asymptotics and integrability
G. Falqui: Integrable Hamiltonian systems
B. Fantechi: Algebraic geometry
T. Grava: Riemann-Hilbert problems
J. Harnad: Random matrices
G. Mussardo: Statistical field theory
M. Narasimhan: Fiber bundles on surfaces
C. Reina: Group theory
- Academic year 2001-2002
- C. Reina: Representation theory.
- G. Mussardo: Statistical Field theory.
- G. Falqui: Integrable Hamiltonian systems and PDEs.
- U. Bruzzo : Trascendental techniques for moduli of Riemann surfaces.
- G. Dell'Antonio: Algebraic and Constructive Quantum Field Theory.
- B. Dubrovin : TBA.
- G. Delfino: Introduction to Quantum Field Theory.
- L. Dabrowski: Introduction to Non Commutative
Geometry.
- F. Pioli: Introduction to Algebraic Geometry.
- M. Narasimhan: Moduli Problems in Geometry.
- Academic year 2000-2001
- C. Reina: Representation theory.
- G. Mussardo: Introduction to Quantum Field
theory.
- G. Falqui: Integrable Systems I.
- U. Bruzzo : Introduction to algebraic geometry
- G. Dell'Antonio: Advanced Quantum Mechanics.
- B. Dubrovin : Integrable Systems and Frobenius manifolds
- G. Mussardo:
Statistical Field theory.
- L. Dabrowski: Introduction to Non Commutative
Geometry.
- Seminar Course: Principal Bundles (run by Prof. M. Narasimhan)
- Academic year 1999-2000
- E. Aldrovandi : Lie Algebras (Reading Course).
- U. Bruzzo : Introduction to algebraic geometry
- B. Dubrovin : Poisson Geometry
- G. Falqui: The method of Poisson pairs in the theory of nonlinear
PDE's (Reading Course).
- C. Reina: Geometry of gauge theory.
- Seminar Course: Hopf algebras, renormalization group, and the
Riemann-Hilbert problem. (Run by L. Dabrowski).
- Academic year 1998-99
- E. Aldrovandi : Lie Algebras.
- U. Bruzzo : Introduction to algebraic geometry
- L. Dabrowski : Elements of Geometry: Classical
and Quantum
- G. F. Dell'Antonio: Quantum Mechanics
- B. Dubrovin : Frobenius Manifolds
- G. Falqui: Hamiltonian theory of Soliton
Equations
- C. Reina: Gauge Theories and Geometry
- B. Fantechi (Trento Univ.) and L. Göttsche (ICTP): Introduction to Gromov-Witten Invariants
- Academic year 1997-98
- E. Aldrovandi : Curvature and characteristic
classes
- G. Boffi(Trieste Univ.): Algebra
- U. Bruzzo : Introduction to algebraic geometry
- L. Dabrowski : Introduction to non Commutative Geometry
- B. Dubrovin : The Riemann-Hilbert Problem
- G. Falqui: Hamiltonian theory of Soliton
Equations
- C. Reina: Algebraic geometry and String Theory
- F. Strocchi (SNS-Pisa): General Quantum Field Theory
- Academic year 1996-97
- U. Bruzzo: Introduction to algebraic geometry
- M. Carfora: Geometry and statistical mechanics of random surfaces
- G. Dell'Antonio (Rome): Functional analysis and quantum mechanics
- L. Dabrowski: Lie Groups and Quantum Groups
- B. Dubrovin : Algebraic aspects of integrable
systems
- G. Falqui: Lie Algebras
- F. Strocchi (SNS-Pisa): Axiomatic Quantum Feld Theory.
- S.L. Woronowicz (Warsaw): Unbounded operators on Hilbert spaces
- Seminar Course : Introduction to Gauge Theories
- Academic year 1995-96
- U. Bruzzo: Introduction to Algebraic Geometry
- M. Carfora: Introduction to Differential Geometry
- L. Dabrowski and G. Falqui: Introduction to Lie Algebras
- G. Dell'Antonio(Rome): Functional analysis and quantum mechanics
- B. Dubrovin: Reflection Groups and Singularity
Theory
- C. Reina: Infinite dimensional homogeneous spaces
- G. Sewell (London): C*-algebras and Quantum field theory
- S. Woronowicz (Warsaw): Quantum Groups
- Seminar Course: Algebraic and Geometrical Aspects of Integrable
Systems
- Academic year 1994-95
- U. Bruzzo: Introduction to non commutative geometries.
- M. Carfora: Simplicial gravity and dynamical triangulations
- G. Dell'Antonio (Rome and SISSA): Mathematical aspects of Schrödinger
operators
- B. Dubrovin: Topics in analytic theory of
differential equations
- C. Reina: Geometrical aspects of representation theory
- F. Strocchi (SNS, Pisa): Many Body Systems
- C. Searle (Mexico City): Riemannian geometry
- S. Woronowick (Warsaw): Quantum groups
- L. Dabrowski: Introduction to Quantum Groups
- Academic year 1993-94
- U. Bruzzo (Genova): Donaldson theory
- M. Carfora: Riemannian geometry and Dirac Operators
- G. Dell'Antonio (Rome): Schrödinger Operators
- S. Doplicher (Rome): C*-Algebras and Field Theory
- B. Dubrovin: Introduction to topology
- R. Giachetti (Bologna): Quantum Groups
- F. Guerra (Rome): Statistical Mechanics
- C. Reina: Geometrical Aspects of Representation Theory
- F. Strocchi: Field Theory