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These notes represent a much expanded and updated version of the \textquotedblleft mini course\textquotedblright that the author gave at the ETH (Z\"{u}rich) and the University of Z\"{u}rich in February of 1995. The purpose of these notes…

Probability · Mathematics 2007-05-23 Bruce K. Driver

These lecture notes are based on a course given at Institut de Physique Th\'eorique of CEA/Saclay in January/February 2013.

High Energy Physics - Phenomenology · Physics 2013-08-06 Renata Zukanovich Funchal , Benoit Schmauch , Gaëlle Giesen

This is the note for the four lectures given by the author in the ``International Short-School/Conference on Affine Algebraic Geometry and the Jacobian Conjecture" at Chern Institute of Mathematics, Nankai University, Tianjin, China. July…

Commutative Algebra · Mathematics 2019-07-16 Arno van den Essen

These are the expanded and detailed notes of the lectures given by the authors during the school and workshop entitled "Liaison and Related Topics," held at the Politecnico di Torino during the period October 1-5, 2001. In these notes we…

Commutative Algebra · Mathematics 2007-05-23 J. Migliore , U. Nagel

Lecture notes on an introductory course on arithmetic lattices (EPFL 2014).

Geometric Topology · Mathematics 2023-08-08 Vincent Emery

These are lecture notes for a one semester introductory course I gave at Indiana University. The goal was to make this exposition as clear and elementary as possible. A particular emphasis is given on examples involving SU(1,1). These notes…

Representation Theory · Mathematics 2021-09-13 Matvei Libine

This paper is based on a course given by the author at the University of Rome ``La Sapienza'' in the Academic year 2000/2001. The intended aim of the course was to rapidly introduce, although not in an exhaustive way, the non-expert PhD…

Algebraic Geometry · Mathematics 2007-05-23 Marco Manetti

These lectures were given in Session 1: "Vertex algebras, W-algebras, and applications" of INdAM Intensive research period "Perspectives in Lie Theory" at the Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, December 9, 2014 --…

Mathematical Physics · Physics 2017-01-31 Victor Kac

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

These are lecture notes from author's mini-course during Session 1: "Vertex algebras, W-algebras, and application" of INdAM Intensive research period "Perspectives in Lie Theory", at the Centro di Ricerca Matematica Ennio De Giorgi, Pisa,…

Representation Theory · Mathematics 2017-02-15 Tomoyuki Arakawa

These notes are a record of lectures given in the Workshop on Connections Between Algebra and Geometry at the University of Regina, May 29--June 1, 2012. The lectures were meant as an introduction to current research problems related to fat…

Algebraic Geometry · Mathematics 2013-10-15 Susan Cooper , Brian Harbourne

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

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

Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments follow on the subject, as well as on Inconsistent…

General Mathematics · Mathematics 2009-05-05 Elemer E Rosinger

These are lecture notes of the course in infinity categories given in the fall 2016 at Weizmann Institute.

Category Theory · Mathematics 2018-11-06 Vladimir Hinich

These are lecture notes based on the first part of a course on 'Mathematical Data Science', which I taught to final year BSc students in the UK in 2019-2020. Topics include: concentration of measure in high dimensions; Gaussian random…

Functional Analysis · Mathematics 2024-09-24 Sven-Ake Wegner

These are notes from a lecture course on symmetric spaces by the second author given at the University of Pittsburgh in the fall of 2010.

Differential Geometry · Mathematics 2012-11-20 Jonathan Holland , Bogdan Ion

This is a redacted transcript of a course given by the author at Harvard in spring semester 2016. It contains a pedagogical overview of recent developments connecting the subjects of soft theorems, the memory effect and asymptotic…

High Energy Physics - Theory · Physics 2018-02-16 Andrew Strominger

This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incomplete, but due to recent requests from…

Symplectic Geometry · Mathematics 2014-05-28 Chris Wendl

These are lecture notes on string theory at Fudan University.

High Energy Physics - Theory · Physics 2024-06-17 Satoshi Nawata , Runkai Tao , Daisuke Yokoyama

These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications:…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean M. Carroll