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Lecture notes delivered in Barcellona in the fall of 2003

High Energy Physics - Theory · Physics 2018-10-29 Roberto Casalbuoni

These notes contain part of the lectures of an introductory course on orthogonal polynomials and special functions that I gave in the joint PhD Program in Mathematics UC|UP in the academic years 2015-2016 (at University of Porto) and…

Classical Analysis and ODEs · Mathematics 2021-11-15 J. Petronilho

These notes are based on a lecture course by L. Chekhov held at the University of Manchester in May 2006 and February-March 2007. They are divulgative in character, and instead of containing rigorous mathematical proofs, they illustrate…

Algebraic Geometry · Mathematics 2007-10-11 Leonid Chekhov

Lecture notes on selected topics in the theory of gravitation.

General Relativity and Quantum Cosmology · Physics 2017-03-16 Pietro Menotti

These are lecture notes for lectures at the Park City Math Institute, summer 2007. We cover aspects of the dimer model on planar, periodic bipartite graphs, including local statistics, limit shapes and fluctuations.

Probability · Mathematics 2009-10-19 Richard Kenyon

This is a series of lecture notes explaining topos theory and its application in physics.

Mathematical Physics · Physics 2012-07-10 Cecilia Flori

These are Notes prepared for nine lectures given at the Mathematical Sciences Research Institute, MSRI, Berkeley during the period January--March 1995. It is a pleasant duty to record here my gratitude to MSRI, and its staff, for making…

Representation Theory · Mathematics 2016-09-06 Steve Gelbart

These are the notes of the three lectures I delivered at the mini-workshop "Knot Theory and Number Theory around the A-Polynomial" at the Instituto Superior Tecnico (IST) in Lisbon in January 2014. The goal of the lectures was to…

Geometric Topology · Mathematics 2014-02-04 Mehmet Haluk Sengun

This is a set of lecture notes that developed out of courses on the lambda calculus that I taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013. Topics covered in these notes include the untyped lambda…

Logic in Computer Science · Computer Science 2013-12-30 Peter Selinger

This is an extended and corrected version of lecture notes originally written for a one semester course at Leibniz University Hannover. The main aim of the notes is to give an introduction to the mathematical methods used in describing…

Mathematical Physics · Physics 2017-04-20 Pieter Naaijkens

These are the lecture notes that accompanied the course of the same name that I taught at the Eindhoven University of Technology from 2021 to 2023. The course is intended as an introduction to neural networks for mathematics students at the…

Machine Learning · Computer Science 2024-03-11 Bart M. N. Smets

These are the notes on two-dimensional conformal field theory, based on a lecture course for graduate math students, given by P.M. in fall 2022 at the University of Notre Dame. These notes are intended to be substantially reworked and…

Mathematical Physics · Physics 2025-01-22 Pavel Mnev

These notes are loosely based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge theories, February 2009 and at the IPM String School in Tehran, April 2009. I have focused on a few concrete topics and also on…

High Energy Physics - Theory · Physics 2010-02-03 Sean A. Hartnoll

These notes are based on a series of lectures given by the author at the Centre Bernoulli (EPFL) in July 2016. They aim at illustrating the importance of the mod-$\ell$ cohomology of Deligne--Lusztig varieties in the modular representation…

Representation Theory · Mathematics 2017-05-24 Olivier Dudas

These notes provide an introductory exposition of the Seiberg-Witten gauge theory. They collect the material presented in a series of seminars given by the author at the University of Milano.

dg-ga · Mathematics 2008-02-03 M. Marcolli

This is an essay to accompany the author's lecture at the introductory workshop on `Nonabelian fundamental groups in arithmetic geometry' at the Newton Institute, Cambridge in July, 2009.

Number Theory · Mathematics 2009-08-06 Minhyong Kim

This survey is based on a series of five lectures, given May 3--7, 2010, at the Centre de Recerca Matematica, Barcelona. The goal of the lectures was to present aspects of the theory of foliation dynamical systems which have particular…

Dynamical Systems · Mathematics 2014-08-26 Steven Hurder

This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students. Contents: Chapter 1 - Examples of Dynamical Systems Chapter 2 -…

History and Overview · Mathematics 2007-05-23 Nils Berglund

This is a lecture notes for a mini-course in Department of Mathematics, Ghent University, 14 Mar.-25 Mar. 2023.

Logic · Mathematics 2023-04-04 Toshiyasu Arai

These are the notes from my courses on the arithmetic of quadratic forms.

Number Theory · Mathematics 2021-03-23 Rainer Schulze-Pillot