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This note provides a chronological account of Fr\'echet distances, starting with Maurice Fr\'echet's 1906 doctoral thesis on distances in abstract sets and tracing the Fr\'echet distance between polygonal curves and its algorithmic…

General Literature · Computer Science 2026-04-24 Yuli Wu

I first met Leo Breiman in 1979 at the beginning of his third career, Professor of Statistics at Berkeley. He obtained his PhD with Lo\'eve at Berkeley in 1957. His first career was as a probabilist in the Mathematics Department at UCLA.…

Applications · Statistics 2011-01-06 Peter J. Bickel

We present an overview of some significant results of Thurston and their impact on mathematics. The final version of this paper will appear as Chapter 1 of the book "In the tradition of Thurston: Geometry and topology", edited by K. Ohshika…

Geometric Topology · Mathematics 2020-12-09 Ken'Ichi Ohshika , Athanase Papadopoulos

This note is based upon a talk given at a celebration in Austin Texas of the achievements of J. Willard Gibbs. J. Willard Gibbs, the younger, was the first American physical sciences theorist. He was one of the inventors of statistical…

History and Philosophy of Physics · Physics 2015-06-19 Leo P. Kadanoff

In connection with his interest in selfdistributive algebra, Richard Laver established two deep results with potential applications in low-dimensional topology, namely the existence of what is now known as the Laver tables and the…

Geometric Topology · Mathematics 2014-01-15 Patrick Dehornoy

We present a latent-stock compartmental framework for modeling degree production systems when only completion flows, rather than enrollments, are observed. Applied to U.S.\ mathematics degrees from 1969 to 2017, the model treats master's…

In November 2014 Alexander Grothendieck passed away at the age of 86. There is no doubt that he was one of the greatest and most innovative mathematicians of the 20th century. After a bitter childhood, his meteoric ascent started in the…

History and Overview · Mathematics 2016-05-27 Wolfgang Bietenholz , Tatiana Peixoto

This is an introduction to the subject of the differential topology of the space of smooth loops in a finite dimensional manifold. It began as the background notes to a series of seminars given at NTNU and subsequently at Sheffield. I am…

Differential Geometry · Mathematics 2007-05-23 Andrew Stacey

It is usually considered that the structuralist tendency in mathematics began in the twentieth century, at some point after the works on set theory and obtained its spreading through the works made by the Bourbaki group. In the present…

History and Overview · Mathematics 2019-05-07 Luis Giraldo González Ricardo , Carlos Sánchez Fernández

These are notes from a three-lecture mini-course on free probability given at MSRI in the Fall of 2010 and repeated a year later at Harvard. The lectures were aimed at mathematicians and mathematical physicists working in combinatorics,…

Combinatorics · Mathematics 2012-05-11 Jonathan Novak , Michael LaCroix

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

We present 18 Introductory Lectures on K-Theory covering its basic three branches, namely topological, analytic (K-Homology) and Higher Algebraic K-Theory, 6 lectures on each branch. The skeleton of these notes was provided by the author's…

K-Theory and Homology · Mathematics 2010-08-10 Ioannis P. Zois

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

A short essay on the life and mathematical heritage of Coble. A substantially edited version will be part of the series of biographical memoirs of past members of the National Academy of Sciences. Version 2: minor changes. Version 3. Typo…

History and Overview · Mathematics 2025-07-22 János Kollár

This article contains reminiscences of the collaborative work that Richard Arnowitt and I did together which stretched over many years and encompasses several areas of particle theory. The article is an extended version of my talk at the…

History and Philosophy of Physics · Physics 2015-05-20 Pran Nath

Jim Hannan is a professor who has lived an interesting life and one whose fundamental research in repeated games was not fully appreciated until late in his career. During his service as a meteorologist in the Army in World War II, Jim…

Other Statistics · Statistics 2010-11-05 Dennis Gilliland , R. V. Ramamoorthi

The concept of matrix rigidity was introduced by Valiant(independently by Grigoriev) in the context of computing linear transformations. A matrix is rigid if it is far(in terms of Hamming distance) from any matrix of low rank. Although we…

Computational Complexity · Computer Science 2020-09-22 C. Ramya

The notion of $\tau$-tilting theory was introduced by Adachi, Iyama and Reiten at the beginning of the last decade and quickly became one of the most active areas of research in the representation theory of finite dimensional algebras. The…

Representation Theory · Mathematics 2022-06-22 Hipolito Treffinger

The article presents the main milestones of the science and technology biography of Ivan Edward Sutherland. The influence of the family and the school on the development of its research competencies is shown, and little-known biographical…

General Literature · Computer Science 2018-07-23 S. O. Semerikov , A. M. Striuk , K. I. Slovak , N. V. Rashevska , Yu. V. Yechkalo

These are the notes for an eponymous course given by the authors at the summer school on p-adic arithmetic geometry in Hangzhou.

Number Theory · Mathematics 2007-05-23 Laurent Berger , Christophe Breuil