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This is the abstract of a series of lectures given during the XIIIth School on Geometry and Physics, Bialystok (Poland), in July 2024. In this minicourse, we first examine the algebraic aspects of barycentric algebras. Then, we focus on…

Rings and Algebras · Mathematics 2026-03-10 Anna Zamojska-Dzienio

These notes are loosely based on an introductory course in algebraic geometry given at Rutgers University in Spring of 2024. We introduce some relatively advanced topics at the expense of the technical details.

Algebraic Geometry · Mathematics 2025-09-26 Lev Borisov

This is the draft of lecture notes for Phd students in Sichuan University. In this notes we expand Li-Ruan's paper with much more detailed explanations and calculations.

Symplectic Geometry · Mathematics 2018-07-24 An-Min Li , Li Sheng

These are lecture notes for lectures at the Park City Math Institute, summer 2007. We cover aspects of the dimer model on planar, periodic bipartite graphs, including local statistics, limit shapes and fluctuations.

Probability · Mathematics 2009-10-19 Richard Kenyon

These are notes of a mini-course given at Dennisfest in June 2001. The goal of these notes is to give a self-contained survey of deformation quantization, operad theory, and graph homology. Some new results related to "String Topology" and…

Quantum Algebra · Mathematics 2007-05-23 Alexander A. Voronov

These are extended lecture notes for a mini course at the Spring School on Non-Archimedean Geometry and Eigenvarieties held at Heidelberg University in March 2023. The goal of the course is to explain a modern take on the eigenvariety…

Number Theory · Mathematics 2024-07-26 Judith Ludwig

This report describes a minimalistic set of methods engineered to anchor clinical events onto a temporal space. Specifically, we describe methods to extract clinical events (e.g., Problems, Treatments and Tests), temporal expressions (i.e.,…

Computation and Language · Computer Science 2015-04-15 Azad Dehghan

This condensed version of chao-dyn/9509010 will be the main hand-out for a course on algorithmic information theory to be given 22-29 May 1996 at the Rovaniemi Institute of Technology, Rovaniemi, Finland (see announcement at…

chao-dyn · Physics 2008-02-03 G J Chaitin

Lecture notes on quantum machine learning for computer scientists.

Quantum Physics · Physics 2025-12-08 Bojan Žunkovič

Expanded lecture notes. Preliminary version, comments are welcome.

Combinatorics · Mathematics 2018-05-31 Bogdan Nica

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 informal notes deal with a number of questions related to sums and integrals in analysis.

Classical Analysis and ODEs · Mathematics 2010-08-17 Stephen Semmes

This text grew out of my lecture notes for a 4-hours minicourse delivered on October 17 \& 19, 2016 during the research school "Applications of Ergodic Theory in Number Theory" -- an activity related to the Jean-Molet Chair project of…

Dynamical Systems · Mathematics 2017-03-07 Carlos Matheus

This lecture notes are an expanded version of the course given at the ERC-School on Geometric Measure Theory and Real Analysis, held in Pisa, September 30th - October 30th 2013. The lectures aim to explain the main steps of a new proof of…

Differential Geometry · Mathematics 2015-01-16 Emanuele Spadaro

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

The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative methods in the study of classical topics, as open mappings,…

Functional Analysis · Mathematics 2007-05-23 Biagio Ricceri

Some notes and observations on analytic functions defined on an annulus

Complex Variables · Mathematics 2011-05-17 Pietro Poggi-Corradini

Notes from lectures given at the Autumn School on Algebraic and Arithmetic Geometry at the Johannes Gutenberg-Universit\"at Mainz in October 2017.

Number Theory · Mathematics 2018-01-18 Martin Bright

Those are notes of a mini-course the author gave in July 2010 at the university Paris 6 (Jussieu) during the summer school of the ANR (Agence nationale de la recherche) BERKO.

Algebraic Geometry · Mathematics 2011-01-05 Antoine Ducros

This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.

Complex Variables · Mathematics 2023-12-12 Mario Bonk , Luca Capogna , Piotr Hajłasz , Nageswari Shanmugalingam , Jeremy T. Tyson
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