Notes

Here I will put some notes which I believe are really useful. The notes that you can find at the moment are already on-line, so I'm simply linking the sources. In the future other notes I'm writing will appear here, but I don't know how long it will take me. Moreover, you can also find the presentations of my talks.
* Mathematics Notes
* Theoretical Physics Notes
* Talks

Mathematics Notes:

A. Bobenko - Compact Riemann Surfaces - [www.math.tu-berlin.de/~bobenko/]
P. Caressa - Metodi Matematici della Meccanica Quantistica - [www.math.unifi.it/~caressa] - [in Italian]
P. Caressa - Strutture di Poisson - [www.math.unifi.it/~caressa] - [in Italian]
A. Connes - Non Commutative Geometry - [www.alainconnes.org]
P. Cvitanovic' - Group Theory - [www.nbi.dk/GroupTheory]
R. Diestel - Graph Theory - [www.math.uni-hamburg.de/home/diestel/]
L. Frappat, P. Sorba, A. Sciarrino - Dictionary on Lie Superalgebras - [arXiv:hep-th/9607161]
M. Gualtieri - Generalized Complex Geometry - [arXiv:math.DG/0401221]
B. C. Hall - An Elementary Introduction to Groups and Representations - [arXiv:math-ph/0005032]
A. Hatcher - Algebraic Topology - [www.math.cornell.edu/~hatcher/AT/ATpage.html]
J. Korevaar, J. Wiegerinck - Lecture Notes on Several Complex Variables - [http://staff.science.uva.nl/~janwieg/edu/scv/]
D. Milicic - Lectures on Lie Groups - [www.math.utah.edu/~milicic/]
J. Milne - Algebraic Geometry - [http://www.jmilne.org/math/CourseNotes/]
L. I. Nicolaescu - Solution to Some Problems in Hatcher's Algebraic Topology Book - [http://www.nd.edu/~lnicolae/vita.html]
L. I. Nicolaescu - Notes on the Atiyah-Singer Index Theorem - [http://www.nd.edu/~lnicolae/vita.html]
L. I. Nicolaescu - Notes on Morse Theory - [http://www.nd.edu/~lnicolae/vita.html]
L. I. Nicolaescu - Notes on the Topology of Complex Singularities - [http://www.nd.edu/~lnicolae/vita.html]
S. Sternberg - Lie Algebras - [www.math.harvard.edu/~shlomo/]

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Theoretical Physics Notes:

* Field Theories
* Relativity
* String Theory
* Statistical Mechanics
* Supersymmetry, Supergravity, Superspace

Field Theories

R. E. Borcherds, A. Barnard - Quantum Field Theory - [arXiv:math-ph/0204014]
B. de Wit - Introduction to Quantum Field Theory - [www.phys.uu.nl/~bdewit/]
L. J. Dixon - Calculating Scattering Amplitudes Efficiently - [arXiv:hep-ph/9601359]
J. Fuchs - Lectures on Conformal Field Theory and Kac-Moody Algebras - [arXiv:hep-th/9702194]
M. R. Gaberdiel - Introduction to Conformal Field Theory - [arXiv:hep-th/9910156]
P. Ginsparg - Applied Conformal Field Theory - [arXiv:hep-th/9108028]
R. Gopakumar - Noncommutative Solitons - [ICTP Lecture Notes Archive]
A. V. Manohar - Large N QCD - [arXiv:hep-ph/9802419]
M. Moshe, J. Zinn-Justin - Quantum Field Theory in the Large N Limit: a Review - [arXiv:hep-th/0306133]
W. Siegel - Fields - [arXiv:hep-th/9912205]
M. Srednkcki - Quantum Field Theory - [www.physics.ucsb.edu/%7Emark/qft.htm]
M. J. Strassler - On Confinement and Duality - [ICTP Lecture Notes Archive]
H. van Hees - Introduction to Relativistic Quantum Field Theory - [theory.gsi.de/~vanhees/]
J. W. van Holten - Aspects of BRST Quantization - [arXiv:hep-th/0201124]
J. Zinn-Justin - Quantum Field Theory at Finite Temperature: an Introduction - [arXiv:hep-ph/005272]

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Relativity

S. Carroll - Lectures Notes on General Relativity - [arXiv:gr-qc/9712019];
D. W. Hogg - Special Relativity - [www.physics.nyu.edu/hogg/]
P. K. Townsend - Black Holes - [arXiv:gr-qc/9707012];

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String Theory

O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri, Y. Oz - Large N Field Theories, String Theory and Gravity - [arXiv:hep-th/9905111];
N. Berkovits - ICTP Lectures on Covariant Quantization of the Superstring - [ICTP Lecture Notes Archive]
M. Bertolini- Four Lectures on the Gauge/Gravity Correspondence - [arXiv:hep-th/0303160]
F. Cachazo, P. Svrcek - Lectures on Twistor Strings and Perturbative Yang-Mills - [arXiv:hep-th/0504194];
H. J. de Vega, N. Sanchez - Lectures on String Theory in Curved Spacetimes - [arXiv:hep-th/9512074]
M. R. Douglas - Lectures on D-Branes on Calabi-Yau Manifolds - [ICTP Lecture Notes]
K. Furuuchi - Lectures on AdS/CFT at Weak 't Hooft Coupling at Finite Temperature - [arXiv:hep-th/0608181]
B. R. Greene - String Theory on Calabi-Yau Manifolds - [arXiv:hep-th/9702115]
K. Hori - Trieste Lectures on Mirror Symmetry - [www.ictp.trieste.it/~pub_off/lectures/]
E. Kiritsis - Introduction to Superstring Theory - [arXiv:hep-th/9709062]
D. Kutasov - Introduction to Little String Theory - [ICTP Lecture Notes]
M. Marino - Les Houches Lectures on Matrix Models and Topological Strings - [arXiv:hep-th/0410165]
J. Maldacena - Lectures on Strings in Flat Space and Plane Waves from N=4 Super Yang Mills - [ICTP Lecture Notes Archive]
G. W. Moore - Les Houches Lectures on Strings and Arithmetic - [arXiv:hep-th/0401049]
A. Neitzke, C. Vafa - Topological Strings and Their Applications - [arXiv:hep-th/0410178]
H. Ooguri, Z. Yin - Lectures on Perturbative String Theories - [arXiv:hep-th/9612254]
W. Siegel - Introduction to String Field Theory - [arXiv:hep-th/0107094]
M. Vonk - A Mini-Course in Topological Strings - [arXiv:hep-th/0504147]

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Statistical Mechanics

P. Hertel - Linear Response Theory - [www.home.uni-osnabrueck.de/phertel/]

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Supersymmetry, Supergravity, Superspace

P. Argyres - An Introduction to Global Supersymmetry - [www.physics.uc.edu/~argyres]
A. Bilal - Introduction to Supersymmetry - [arXiv:hep-th/0101055]
B. de Wit - Supergravity - [arXiv:hep-th/0212245]
S. J. Gates Jr, M. T. Grisaru, M. Rocek, W. Siegel - Superspace, or One Thousand and One Lessons in Supersymmetry - [arXiv:hep-th/0108200]
K. Intrilligator, N. Seiberg - Lectures on Supersymmetry Breaking - [arXiv:hep-ph/0702069]
J. D. Lykken - Introduction to Supersymmetry - [arXiv:hep-th/9612114]
S. P. Martin - Introduction to Supersymmetry - [arXiv:hep-ph/9709356]
K. S. Stelle - BPS Branes in Supergravity - [arXiv:hep-th/9803116]

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Talks:

Workshop of Gravitational Aspects of String Theory - Fields Institute, Toronto, Canada
Sound Waves in Non-Conformal Strongly Coupled Gauge Theory Plasma.
27th MRST Conference - SUNY at Utica/Rome, USA
Sound Waves in Non-Conformal Strongly Coupled Gauge Theory Plasma.
Great Lakes String Conference 2006 - MCTP, Ann Arbor, USA
Transport Properties of N=4 Supersymmetric Yang-Mills Theory at Finite Coupling.
ESF Cargese Summer School 2006 "Strings and Branes: the Present Paradigm for Gauge Interactions and Cosmology" - Cargese, France
Hydrodynamics of Strongly Coupled Gauge Theories from Gravity.
Invited talk at INFN - Sezione di Bologna - Bologna, Italy - 10 January 2007
A Holographic Perspective on the Transport Properties of Strongly Coupled Gauge Theories.
Invited talk at Carleton University, Ottawa, Canada - 03 April 2007
Recursive Methods for Scattering Amplitudes .
Invited talk at INFN - Sezione di Bologna - Bologna, Italy - 19 June 2007
Consistency Conditions on the S-Matrix of Massless Particles.
Invited talk at INFN - Sezione di Lecce - Lecce, Italy - 25 July 2007
Transport Properties from String Theory.
Invited talk at ''Hidden Structures in Field Theory Amplitudes'' - NBIA - Copenhagen, Denmark - 11 September 2008
Leading Singularities of Gravity Amplitudes.

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Last Modified 2008-09-27