Related papers: An introduction to multiple gaps
This paper is a guide for the pure mathematician who would like to know more about cryptography based on group theory. The paper gives a brief overview of the subject, and provides pointers to good textbooks, key research papers and recent…
Some speculative preliminary ideas relating matrix theory and cosmology are discussed.
The goal of these notes is to provide an introduction to rough partial differential equations. For this purpose, we will present the theory of rough paths to the extend as it is required. Applications to stochastic partial differential…
Course material for mathematical methods of theoretical physics intended for an undergraduate audience.
This is an overview and a preview of the theory of "mixed motives of level 1" explaining some results, projects, ideas and indicating a bunch of problems.
This paper is a survey on Deduction modulo theory
A concise introduction to the Standard Model of fundamental particle interactions is presented.
A paper for general audience about descriptive inner model theory.
This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle gerbes and related objects. Furthermore they naturally lead…
We give an introduction to the theory of cluster categories and cluster tilted algebras. We include some background on the theory of cluster algebras, and discuss the interplay with cluster categories and cluster tilted algebras.
An expository hitchhikers guide to some theorems in mathematics.
The topic of the glass transition gives rise to a a wide diversity of views. It is, accordingly, characterized by a lack of agreement on which would be the most profitable theoretical perspective. In this chapter, I provide some elements…
This paper introduces the idea of pseudo-group. Applications of pseudo-groups in Group Theory and Symmetry Breaking in Particle Physics and Cosmology are considered.
We present a brief introduction to the topological phases of matter. This is a brief review article written for the Boletin de la Sociedad Mexicana de Fisica
I give a short overview of Chiral Perturbation Theory, its underlying assumptions and underpinnings. A few examples are included.
Informal collection of lecture notes introducing quantum mechanics in phase space and basic Gaussian quantum mechanics.
The article focuses on the problems of prime gaps and zero spacings. Possible solutions of several related problems such as the greatest lower bound, the least upper bound of the zero spacings, and the least upper bound of the prime gaps…
Planning to explore the beginning of the Universe? A lightweight introductory guide to the theory of Inflation.
This is a brief introduction to the basic concepts of topology. It includes the basic constructions, discusses separation properties, metric and pseudometric spaces, and gives some applications arising from the use of topology in computing.
A concise guide to very basic bicategory theory, from the definition of a bicategory to the coherence theorem.