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These notes were compiled as lecture notes for a course developed and taught at the University of the Southern California. They should be accessible to a typical engineering graduate student with a strong background in Applied Mathematics.…

Machine Learning · Computer Science 2023-01-04 Deep Ray , Orazio Pinti , Assad A. Oberai

These are lecture notes that are based on the lectures from a class I taught on the topic of Spectral Graph Methods at UC Berkeley during the Spring 2015 semester.

Data Structures and Algorithms · Computer Science 2016-08-18 Michael W. Mahoney

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

We review recent work on the phase structure of QCD at very high baryon density. We introduce the phenomenon of color superconductivity and discuss the use of weak coupling methods. We study the phase structure as a function of the number…

Nuclear Theory · Physics 2009-11-07 Thomas Schaefer

Plenary talk at PASCOS-98, Boston, Massachusetts, USA, March 22-29, 1998.

High Energy Physics - Phenomenology · Physics 2007-05-23 Finn Ravndal

These are notes based on a series of talks that the author gave at the "Interactions between hyperbolic geometry and quantum groups" conference held at Columbia University in June of 2009.

Geometric Topology · Mathematics 2019-02-07 Genevieve S. Walsh

Extending the qubit coherence times is a crucial task in building quantum information processing devices. In the three-dimensional cavity implementations of circuit QED, the coherence of superconducting qubits was improved dramatically due…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Leonid I. Glazman , Gianluigi Catelani

These are expanded notes for a short course given at the Universidad Nacional de La Plata. They aim at giving a self-contained account of the results of Alain Connes and Michel Dubois--Violette.

Quantum Algebra · Mathematics 2007-10-25 Marc Bellon

Notes of lectures for graduate students that were given at Lake Como in 1999, covering the theory of linearized gravitational waves, their sources, and the prospects at the time for detecting gravitational waves. The lectures remain of…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Bernard F Schutz , Franco Ricci

This is the full text of the summary talk: copies of transparancies of all talks with Introduction and Summary would be mailed to participants from RIKEN/BNL center

High Energy Physics - Phenomenology · Physics 2007-05-23 Edward Shuryak

Invited lecture at Int. School on Particles and Cosmology, Baksan Valley, 1993

High Energy Physics - Phenomenology · Physics 2016-09-01 Jose W. F. Valle

These are the lecture notes for the introductory course on Whitehead, Reidemeister and Ray-Singer torsions, given by the author at the University of Zurich in Spring semester 2014.

Algebraic Topology · Mathematics 2014-06-17 Pavel Mnev

New results from lattice are presented,which demonstrate that monopoles condense in the vacuum of confined phase of QCD, which is thus a dual superconductor. Monopoles defined by different abelian projections appear to be physically…

High Energy Physics - Lattice · Physics 2019-08-17 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

These lectures were originally given at TASI and are directed at a level suitable for graduate students in High Energy Physics. They are intended to give an introduction to the theory and phenomenology of quantum chromodynamics (QCD),…

High Energy Physics - Phenomenology · Physics 2017-08-23 Peter Skands

Lecture notes on optimization for machine learning, derived from a course at Princeton University and tutorials given in MLSS, Buenos Aires, as well as Simons Foundation, Berkeley.

Machine Learning · Computer Science 2019-09-10 Elad Hazan

This paper is a set of lecture notes of my course "Special functions, KZ type equations, and representation theory" given at MIT during the spring semester of 2002. The notes do not contain new results, and are an exposition (mostly without…

Quantum Algebra · Mathematics 2007-05-23 Alexander Varchenko

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

A broad review of theoretical research work involving different types of microscopic mechanism in various classes of superconductors, carried out in our research group over a decade or so, is presented. These mechanisms include both…

Superconductivity · Physics 2022-04-27 Ranjan Chaudhury , Koushik Mandal

These lectures are intended to provide the theoretical basis of describing high-energy particle collisions at a level appropriate to graduate students in experimental high energy physics. They are supposed to be familiar with quantum…

High Energy Physics - Phenomenology · Physics 2016-08-09 Z. Trócsányi

These lecture notes are an expanded write-up of my short lecture series "Noncommutative Resolutions" given to the MSRI Graduate Student Workshop "Noncommutative Algebraic Geometry" during June 2012. The notes include five chapters, an…

Representation Theory · Mathematics 2014-09-30 M. Wemyss