# PhD Awarded - Mathematical Physics

**P. Giavedoni**- November 16, 2012
*Topics on multiphase solutions of the nonlinear Schroedinger Equation*- Supervisor: B. Dubrovin

**G. Dossena**- November 16, 2012
- Supervisor: L. Dabrowski

**E. Parodi**- October 25, 2012
*Classification problems for Hamiltonian evolutionary equations and their discretizations*- Supervisor: B. Dubrovin

**S. Romano**- October 25, 2012
*Special Frobenius structures on Hurwitz spaces and applications*- Supervisor: B. Dubrovin

**S. A. Holguin Cardona**- May 3, 2012
*Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles*- Supervisor: U. Bruzzo

**C. Rava**- February 27, 2012
*ADHM data for framed sheaves on Hirzebruch surfaces*- Supervisor: U. Bruzzo

**G. De Nittis**- October 29, 2010
*Hunting colored (quantum) butterflies: a geometric derivation of the TKNN-equations*- Supervisors: G. Dell'Antonio, G. Panati

**E. Costa**- October 29, 2010
*The Schroedinger equation on thin Dirichlet waveguides: the Quantum Graph approximation*- Supervisor: G. Dell'Antonio

**D. Masoero**- October 1, 2010
- Supervisor: B. Dubrovin

**F. Ferrari Ruffino**- October 22, 2009
*Topics on Topology and Superstring Theory*- Supervisors: Prof. L. Bonora, Prof. U. Bruzzo

**A. Brini**- September 29, 2009
*Duality and Integrability in Topological String Theory*- Supervisors: Prof. B. Dubrovin, Dr. A. Tanzini

**L. Cirio**- October 24, 2008
*Symmetries of noncommutative spaces and equivariant cohomology*- Supervisors: Prof. U. Bruzzo, Prof. G. Landi

**F. D'Andrea**- October 26, 2007
*Noncommutative geometry and quantum group symmetries*- Supervisors: Prof. L. Dabrowski, Prof. G. Landi

**A. Michelangeli**- October 16, 2007
*Bose-Einstein Condensation: analysis of problems and rigorous results.*- Supervisor: Prof. Gianfausto Dell'Antonio

**A. Ricco**- November 28, 2006
*Some comments on the local curve (B-side)*- Supervisors: Prof. Loriano Bonora, Prof. Ugo Bruzzo

**G. Niccoli**- November 25, 2005
*Descendent operators in massive integrable quantum field theories*- Supervisor: Prof. Gesualdo Delfino

**C. Pagani**- November 25, 2005
*Quantum principal bundles and instantons*- Supervisors: Prof. Cesare Reina, Prof. Giovanni Landi

**W. D. van Suijlekom**- October 17, 2005
*The geometry of noncommutative spheres and their symmetries*- Supervisors: Prof. L. Dabrowski, Prof. G. Landi

**M. Sommacal**- October 17, 2005
*The transition from regular to irregular motions, explained as travel on Riemann surfaces*- Supervisor: Prof. Francesco Calogero (Roma La Sapienza)

**L. Tenuta**- October 17, 2005
*Quantum systems with strong constraining potentials*- Supervisor: Prof. Gianfausto Dell'Antonio

**M. Correggi**- October 11, 2004
*Time-dependent singular interactions*- Supervisor: Prof. Gianfausto Dell'Antonio

**A. Mossa**- October 11, 2004
*Analytic properties of the free energy: the tricritical Ising models*- Supervisor: Prof. G. Mussardo

**A. Stefanov**- July 15, 2004
*Finite orbits of the braid group action on a set of reflections*- Supervisor: Prof. Boris Dubrovin

**F. Musso**- October 7, 2003
*Algebraic and geometrical aspects of rational Gaudin models*- Supervisors: Prof. Gregorio Falqui, Prof. Orlando Ragnisco (Roma III)

**G. Carlet**- July 2, 2003
*Extended Toda Hierarchy and its Hamiltonian Structure*- Supervisor: Prof. Boris Dubrovin

**G. Panati**- October 17, 2002
*Space-adiabatic Decoupling in Quantum Dynamics*- Supervisor: Prof. Gianfausto Dell'Antonio

**P. Lorenzoni**- October 17, 2002
*Bihamiltonian Hierarchies and Deformations of Integrable Systems*- Supervisor: Prof. Boris Dubrovin

**A. Arsie**- October 18, 2001
*On "Special" Embeddings in Complex and Projective Algebraic Geometry*- Supervisor: Prof. Philippe Ellia

**A. Pizzo**- October 18, 2001
*Scattering of an "Infraparticle": the One-Particle Sector of Nelson's Massless Model*

**A. Tomasiello**- October 18, 2001
*Holomorphicity and Stability in String Theory*- Supervisor: Prof. Loriano Bonora

**G. Marelli**- June 29, 2001
*A Fourier Transform for Sheaves on Lagrangian Families of Real Tori*- Supervisor: Prof. Ugo Bruzzo

**D. Guzzetti**- October 18, 2000
- Supervisor: Prof. Boris Dubrovin

**G. Carbone**- October 18, 2000
*Invariants of N-dimensional PL manifolds from the (Re)Coupling of Angular Momenta.*- Supervisors: Prof. Mauro Carfora (Pavia), Prof. Annalisa Marzuoli (Pavia)

**M. Bertola**- October 4, 1999
*Jacobi Groups, Jacobi Forms and Their Applications*- Supervisor: Prof. Boris Dubrovin

**F. Thompson**- October 4, 1999
*New Approaches to Quaternionic Algebra and Geometry*- Supervisor: Prof. Ugo Bruzzo

**A. Zampa**- October 4, 1999
*A New Description of them Jacobian Super KP Hierarchy*- Supervisor: Prof. Cesare Reina

**M. Ugaglia**- December 10, 1998
*Scaling Symmetries of Evolutionary Systems, Time-Dependent Hamiltonian Structures, and Monodromy-Preserving Deformations*- Supervisor: Prof. Boris Dubrovin

**G. Gionti**- December 10, 1998
*Discrete Approaches Towards the Definition of a Quantum Theory of Gravity*- Supervisors: Prof. M. Carfora (Pavia), Prof. A. D'Adda (INFN-Torino)

**D. Gabrielli**- December 10, 1998
*Some Geometric and Probabilistic Aspects of Path Integral Quantization of Gravity.*- Supervisor: Prof. Mauro Carfora (Pavia)

**T. Grava**- October 5, 1998
*On the Cauchy problem for the Whitham equations*- Supervisor: Prof. Boris Dubrovin

**M. Mazzocco**- October 5, 1998
*Algebraic solutions to the Painleve'-VI equation and reflection groups*- Supervisor: Prof. Boris Dubrovin

**S. Cavallaro**- November 13, 1997
*Spectral Representations in Non-Separable Hilbert Spaces - and - A General Characterization of Non-Regular Representations of the Heisenberg Group*- Supervisor: Prof. F. Strocchi (Pisa)

**P. Siniscalco**- November 13, 1997
*A Finite Quantum Symmetry From A(SLq(2)) at a Cubic Root of Unity*- Supervisors: Dr. L. Dabrowski, Dr. G. Landi (Trieste)

**L. Sbano**- June 19, 1997
*Action Functionals for the Classical N-Body Problem Reduced on the Manifold of the Total Collision Solutions. A Study of the Critical Points of the Reduced 3-Body Problem*- Supervisor: Prof. G.F. Dell'Antonio

**S. Cosentino**- October 19, 1996
*Equidistribution of parabolic fixed points in the limit set of Kleinian groups*- Supervisors: Prof. L. Flaminio (Napoli), Prof. A.Verjovsky (Lille)

**P. Contucci**- June 29, 1994
*A bound for beta-function convergence radius for many fermion systems in one dimension*- Supervisor: Prof. G. Gallavotti (Roma I)

**S. Abenda**- June 29, 1994
*Analysis of singularity structures for quasi-integrable Hamiltonian systems*- Supervisor: Prof. G. Turchetti (Bologna)

**P. Nurowski**- October 15, 1993
*Eistein equations and Cauchy-Riemann Geometry*- Supervisor: Prof. A. Trautman (Warsaw)

**F. Acerbi**- October 14, 1993
*Nonregular Representation of CCR Algebras*- Supervisor: Prof. F. Strocchi

**E. Aldrovandi**- October 30, 1992
*Liouville Field Theory, Drinfeld-Sokolov Linear Systems and Riemann Surfaces*- Supervisor: Prof. L. Bonora

**N. Reggiani**- October 30, 1992
*Description of the Magnetic Fluid Lines of a Confined Plasma*- Supervisor: Prof. G. Turchetti (Bologna)

**F. Cipriani**- October 30, 1992
*Dirichlet Forms and Markovian Semigroups on Standard Forms of Von Neumann Algebras*- Supervisor: Prof. G.F. Dell'Antonio

**A. Posilicano**- October 14, 1991
*Capacity Methods in the Study of Convergence of Diffusions*- Supervisor: Prof. G.F. Dell'Antonio

**G. Magnano**- April 8, 1991
*Poisson-Nijenhuis Structure and Sato Hierarchy*- Supervisor: Prof. F. Magri (Milano)

- April 8, 1991
*Fast Rotation of the Rigid Body and Hamiltonian Perturbation Theory*- Supervisor: Prof. G. Benettin (Padova)

**U. Moschella**- April 8, 1991
*Infrared Structures and Symmetry Breaking in Simple Gauge Like Quantum Field Theories*- Supervisor: Prof. F. Strocchi

**G. Falqui**- October 29, 1990
*Moduli Spaces and Geometrical Aspects of Two-dimensional Conformal Field Theories*- Supervisor: Prof. C. Reina

**A. Bernui**- February 6, 1990
*Radiation Damping in Closed Universes*- Supervisor: Prof. G.F. Dell'Antonio

**A. Teta**- October 30, 1989
*Singular Perturbations of the Laplacian and Connections with Models of Random Media*- Supervisor: Prof. G.F. Dell'Antonio

**G. Landi**- December 19, 1988
*An Algebraic Setting for Gauge Theories*- Supervisor: Prof. G. Marmo (Napoli)

**F. Benatti**- December 19, 1988
*Quantum Dynamical Entropy and Entropic Dimension*- Supervisor: Prof. H. Narnhofer (Wien)

**V. Tapia**- October 5, 1988
*Higher-order Field Theory and General Relativity*- Supervisor: Prof. M. Francaviglia (Torino)

**N. Chair**- October 5, 1988
*Geometrical Aspects of Non-linear sigma-model and String Theory*- Supervisor: Prof. C. Reina

**C. Eab**- December 11, 1985
*Renormalization group transformation as a map in the space of probability measures continuity and fixed points*- Supervisor: Prof. G.F. Dell'Antonio

**L. Dabrowski**- December 3, 1984
*Spin structures and Global Conformal transformations*- Supervisor: Prof. P. Budinich