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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

These lecture notes are based on an introductory course given by the author at the summer school "Noncommutative Algebraic Geometry" at MSRI in June 2012. The emphasis throughout is on examples to illustrate the many different facets of…

Representation Theory · Mathematics 2014-01-21 Gwyn Bellamy

This is a set of lecture notes for a course given at the 2005 Summer School in Poisson Geometry held at ICTP-Trieste.

Differential Geometry · Mathematics 2007-05-23 Rui Loja Fernandes , Marius Crainic

This is a write-up of the lectures given by the author during the Master Class "Categorification" at {\AA}rhus University, Denmark in October 2010.

Representation Theory · Mathematics 2011-09-08 Volodymyr Mazorchuk

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

These are lecture notes that are based on the lectures from a class I taught on the topic of Randomized Linear Algebra (RLA) at UC Berkeley during the Fall 2013 semester.

Data Structures and Algorithms · Computer Science 2016-08-17 Michael W. Mahoney

These lecture notes have been developed for the course Computational Social Choice of the Artificial Intelligence MSc programme at the University of Groningen. They cover mathematical and algorithmic aspects of voting theory.

Multiagent Systems · Computer Science 2021-05-04 Davide Grossi

These notes are a written version of a set of lectures given at TASI-02 on the topic of effective field theories. They are meant as an introduction to some of the latest techniques and applications in the field.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ira Z. Rothstein

Lecture notes on an introductory course on arithmetic lattices (EPFL 2014).

Geometric Topology · Mathematics 2023-08-08 Vincent Emery

These are expanded notes from a four lecture mini-course given by the author at the Spring School on Non-archimedean geometry and Eigenvarieties, held at the University of Heidelberg in March 2023. The course discusses coherent sheaves,…

Number Theory · Mathematics 2024-10-04 Christian Johansson

Those notes rest on the Samuel Eilenberg Lectures I gave at Columbia University, NY, in the fall 2022. I thank all the mathematicians who participated in their elaboration, directly or indirectly. They are meant to be published as a…

Algebraic Geometry · Mathematics 2023-03-13 Hélène Esnault

Lecture notes delivered in Barcellona in the fall of 2003

High Energy Physics - Theory · Physics 2018-10-29 Roberto Casalbuoni

This set of lecture notes constitutes the free textbook project I initiated towards the end of Summer 2015, while preparing for the Fall 2015 Analytical Methods in Physics course I taught to upper level undergraduates at the University of…

Mathematical Physics · Physics 2018-01-09 Yi-Zen Chu

These are the notes accompanying three lectures given by the second author at the Motivic Geometry program at CAS, which aim to give an introduction and an overview of some recent developments in the field of reciprocity sheaves.

Algebraic Geometry · Mathematics 2022-08-31 Nikolai Opdan , Kay Rülling

These are lecture notes of the lecture on elementary celestial mechanics read at Technische Universitaet Dresden, Dresden, Germany from 2000 till 2011.

Instrumentation and Methods for Astrophysics · Physics 2016-09-06 Sergei A. Klioner

Preliminary version No.~2 of the lecture notes for the talk ``Quantum theory of gravitational collapse'' given at the 271. WE-Heraeus-Seminar ``Aspects of Quantum Gravity'' at Bad Honnef, 25 February--1 March 2002

General Relativity and Quantum Cosmology · Physics 2015-06-25 Petr Hajicek

These are lecture notes based on the first part of a course on 'Mathematical Data Science', which I taught to final year BSc students in the UK in 2019-2020. Topics include: concentration of measure in high dimensions; Gaussian random…

Functional Analysis · Mathematics 2024-09-24 Sven-Ake Wegner

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 notes are a written version of a set of lectures given at TASI-02 on the topic of precision electroweak physics.

High Energy Physics - Phenomenology · Physics 2009-09-29 Konstantin Matchev

This is a series of three lectures I gave at the Korea Institute of Advanced Study in June 2019 at a workshop about "Algebraic and Symplectic Aspects of Degenerations of Complex Surfaces". I focus on the symplectic aspects, in particular on…

Symplectic Geometry · Mathematics 2024-03-07 Jonathan David Evans