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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

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

This is a slightly updated version of lectures notes for a course on analytic geometry taught in the winter term 2019/20 at the University of Bonn. The material presented is part of joint work with Dustin Clausen. This is intended as a…

Algebraic Geometry · Mathematics 2026-05-06 Peter Scholze

This is an updated version of the lectures notes for a course on condensed mathematics taught in the summer term 2019 at the University of Bonn. The material presented is joint work with Dustin Clausen. This is intended as a stable citable…

Number Theory · Mathematics 2026-05-06 Peter Scholze

This is a survey on the subject of the title corresponding to three lectures I gave in June 2001 at the Workshop on Fourier Analysis and Convexity, at the Universita di Milano-Biccoca.

Classical Analysis and ODEs · Mathematics 2007-05-23 Mihail N. Kolountzakis

Lecture note topics: 1. Some tools from real and complex analysis, 2. Hilbert spaces, 3. Banach spaces, 4. Compact operators and their spectra, 5. Intermezzo: reproducing kernel Hilbert spaces, 6. Banach algebras ,7. Spectral theory of…

Functional Analysis · Mathematics 2025-05-21 Nicola Arcozzi

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

This paper presents an extended version of lecture notes for an introductory course on Berkovich analytic spaces that I gave in 2010 at Summer School "Berkovich spaces" at Institut de Mathmatiques de Jussieu.

Algebraic Geometry · Mathematics 2011-12-19 Michael Temkin

Lectures given at the summer school on Algebraic Groups, Goettingen, June 27 - July 15 2005

Differential Geometry · Mathematics 2007-05-23 Roger Bielawski

These notes are based on the lecture courses given at the Ruhr-Universit{\"a}t-Bochum (03--08.02.1997) and at the Universit{\'e} Paul Sabatier (Toulouse, 08-12.01.1996).

Algebraic Geometry · Mathematics 2007-05-23 Mikhail Zaidenberg

This is an extension and background to a talk I gave on 9 October 2013 to the Brown Graduate Student Seminar, called `A friendly intro to sieves with a look towards recent progress on the twin primes conjecture.' During the talk, I mention…

Number Theory · Mathematics 2014-01-30 David Lowry-Duda

These are the lecture notes of a 2-hour mini-course on Lie groups over local fields presented at the "Workshop on Totally Disconnected Groups, Graphs and Geometry" at the Heinrich-Fabri-Institut Blaubeuren in May 2007. The goal of the notes…

Group Theory · Mathematics 2016-12-30 Helge Glockner

This monograph is derived from a series of six lectures I gave at the Centre de Recherches Mathematiques in Montreal, in March and June 2000, while titulary of the Aisenstadt Chair.

Fluid Dynamics · Physics 2007-05-23 R. Jackiw

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 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

These are yet another lecture notes on Seiberg-Witten invariants, where no claim of originality is made, they contain a discussion of some related results from the recent literature.

alg-geom · Mathematics 2008-02-03 Selman Akbulut

These are (not updated) notes from the lectures I gave at the NATO ASI ``Symmetric Functions 2001'' at the Isaac Newton Institute in Cambridge (June 25 -- July 6, 2001). Their goal is an informal introduction to asymptotic combinatorics…

Combinatorics · Mathematics 2007-05-23 Andrei Okounkov

Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious.

Discrete Mathematics · Computer Science 2025-06-17 Leonid A. Levin

This is the lecture note of my invited lecture given at the International Conference on Number Theory at Harish-Chandra Research Institute in Allahabad (quite near the River Ganges), India on December 5, 2006. I gave an invited lecture on…

Number Theory · Mathematics 2009-07-27 Jae-Hyun Yang

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
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