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These are the notes from Asger T\"ornquist's Appalachian Set Theory lectures at Carnegie Mellon University. They form a chapter in the LMS lecture notes series 406.

Operator Algebras · Mathematics 2015-01-05 Asger Törnquist , Martino Lupini

I arrived in Berkeley in 1957, at which time Leo was an Acting Assistant Professor of Mathematics here. He had recently proven the "individual ergodic theorem of information theory"---a triumph---and since this was becoming central to my…

Applications · Statistics 2011-01-06 Jacob Feldman

This article is a summary of a talk about Richard Feynman, given at a conference Polymaths across the Eras organized in November 2023 by the St Cross Centre for the History and Philosophy of Physics (HAPP) in Oxford. It describes Feynman as…

History and Philosophy of Physics · Physics 2023-12-01 David Broadhurst

Michael Boardman has been a major contributor to the theory of infinite loop spaces and higher homotopy algebra. Indeed Boardman was the first to refer to `homotopy everything'. One particular contribution which has had major progeny is his…

Algebraic Topology · Mathematics 2007-05-23 Jim Stasheff

These notes combine material from short lecture courses given in Paris, France, in July 2001 and in Srni, the Czech Republic, in January 2003. They discuss groups of symplectomorphisms of closed symplectic manifolds (M,\om) from various…

Symplectic Geometry · Mathematics 2007-05-23 Dusa McDuff

These notes are based on a series of five lectures given during the summer school ``Interactions between Homotopy Theory and Algebra'' held at the University of Chicago in 2004.

K-Theory and Homology · Mathematics 2007-05-23 Henning Krause

This article consists of six lectures on the categorification of the Burau representation and on link homology groups which categorify the Jones and the HOMFLY-PT polynomial. The notes are based on the lecture course at the PCMI 2006 summer…

Quantum Algebra · Mathematics 2008-04-09 Marta Asaeda , Mikhail Khovanov

In this plenary talk delivered at the DISCRETE 2014 conference in London, I briefly summarize the ideas behind and attractive properties of the Galileon field theories, and describe a broad class of scalar field theories that share these…

High Energy Physics - Theory · Physics 2015-09-02 Mark Trodden

These notes are from a 4-lecture mini-course taught by the author at the conference on von Neumann algebras as part of the ``Geometrie non commutative en mathematiques et physique'' month at CIRM in 2004.

Operator Algebras · Mathematics 2007-05-23 Dimitri Shlyakhtenko

This was an expository lecture for the graduate student colloquium at the University of Arizona on the topic of numbers.

Number Theory · Mathematics 2007-05-23 Minhyong Kim

These are the extended lecture notes of my lecture about ``Linear Operators on Polynomials, $K$-Positivity Preserver, and their Generators''. The lecture was given at the University of Konstanz in the winter semester 2025/26.

Functional Analysis · Mathematics 2026-02-12 Philipp J. di Dio

This volume is our tribute to David A. Freedman, whom we regard as one of the great statisticians of our time. He received his B.Sc. degree from McGill University and his Ph.D. from Princeton, and joined the Department of Statistics of the…

Probability · Mathematics 2008-06-30 Deborah Nolan , Terry Speed

Various connections between the theory of permutation groups and the theory of topological groups are described. These connections are applied in permutation group theory and in the structure theory of topological groups. The first draft of…

Group Theory · Mathematics 2010-08-26 Rognvaldur G. Moller

The last decade has seen a proliferation of mentoring programs that provide high-school students authentic research experiences. Such programs expose students to front-line research, equip them with basic research skills (including coding…

Physics Education · Physics 2020-02-12 Or Graur

These lectures were a part of the geometry course held during the Fall 2011 Mathematics Advanced Study Semesters (MASS) Program at Penn State (\url{http://www.math.psu.edu/mass/}). The lectures are meant to be accessible to advanced…

Differential Geometry · Mathematics 2018-07-09 Anton Petrunin , Allan Yashinski

These are expended notes of my talk at the summer institute in algebraic geometry (Seattle, July-August 2005), whose main purpose is to present a global overview on the theory of higher and derived stacks. This text is far from being…

Algebraic Geometry · Mathematics 2007-05-23 B. Toen

This note summarizes in an informal way some geometric properties of Anosov representations into the symplectic group, which were presented in a talk at the conference What is Next. The mathematical legacy of Bill Thurston, held in June…

Geometric Topology · Mathematics 2016-02-11 Anna Wienhard

These notes were originally written for the Stochastic Analysis Seminar in the Department of Operations Research and Financial Engineering at Princeton University, in February of 2011. The seminar was attended and supported by members of…

Mathematical Finance · Quantitative Finance 2016-10-04 Andrew Papanicolaou

In 1994, I came to Berkeley and was fortunate to stay there three years, first as a postdoctoral researcher and then as Neyman Visiting Assistant Professor. For me, this period was a unique opportunity to see other aspects and learn many…

Applications · Statistics 2016-08-14 Peter Bühlmann

The American Physical Society (APS) March Meeting of condensed matter physics has grown to nearly 10,000 participants, comprises 23 individual APS groups, and even warrants its own hashtag (#apsmarch). Here we analyze the text and data from…

Physics and Society · Physics 2015-02-12 Michael Shulman , Marc Warner