Related papers: Lectures on singularity categories

These lecture notes discuss classical models of liquid crystals, and the different ways in which defects are described according to the different models.

This paper is a collection of lecture notes on modified gravity. Various modified gravity models formulated within the Riemannian formalism are discussed.

This is a set of lecture notes introducing graduate students to the topic of Discontinuous Petrov-Galerkin (DPG) methods.

These notes are an introduction to the theory of quantum symmetries of finite and infinite sets, graphs, and locally compact spaces.

These Course Notes provide an introduction to mathematical proofs for undergraduate students transitioning from computational calculus to abstract mathematics. Topics include propositional logic, proof techniques, mathematical induction,…

This survey is intended as an invitation to the theory of stable $\infty$-categories, addressed primarily to mathematicians working in the representation theory of algebras and related subjects.

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.

This is a series of short teaching papers dealing with specific topics in a standard first-year undergraduate Physics course. ----- Este texto comp\~oe-se de quatro pequenas notas -- independentes entre si -- em que se discutem alguns…

These notes give an elementary approach to parts of the theory of standard Borel and analytic spaces.

These lecture notes cover the theory of convex optimization, with a particular emphasis on first-order methods.

Introductory lectures notes on cosmology, aimed at master students in physics and based on a course held at Milano University (in Italian).

Informal collection of lecture notes introducing quantum mechanics in phase space and basic Gaussian quantum mechanics.

General lectures on quantum gravity.

We present a broad review on black holes. We analyse some of the fundamental concepts in black hole theory, the observational and theoretical status of stellar and galactic black holes, and their appearance as quantum objects.

The goal of these lecture notes is to introduce the developing research area of gravitational-wave phenomenology. In more concrete terms, they are meant to provide an overview of gravitational-wave sources and an introduction to the…

These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT.

A brief introduction to exterior differential systems for graduate students familiar with manifolds and differential forms. For complete files, see https://github.com/Ben-McKay/introduction-to-exterior-differential-systems

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

These notes deal with a few aspects of Lie algebras and Lie groups, including some matters related to exponentiation.

We give a presentation of abelian class field theory.