相关论文: Opers

We introduce the notion of operadic torsors and operadic quasi-torsors. We show that if an operadic (quasi-)torsor between two operads exists, then these operads are (quasi-)isomorphic. As an application we present the (arguably) shortest…

These notes are a brief introduction to the RSA algorithm and modular arithmetic. They are intended for an undergraduate audience.

This article provides a brief introductory account of the theory of aperiodic order.

Lecture-notes: introducing and discussing basic kp concepts related to bands interaction at an elementary level to beginners

This short expository text is for readers who are confident in basic category theory but know little or nothing about toposes. It is based on some impromptu talks given to a small group of category theorists.

Lecture notes for an introductory course in elementary particles.

This article aims at clarifying the language and practice of scientific experiment, mainly by hooking observability on calculability.

This is a brief introduction to the world of Noncommutative Algebra aimed at advanced undergraduate and beginning graduate students.

This article gives a brief survey of the theory and applications of anomalies.

This is a cornucopia of types of algebras with some of their properties from the operadic point of view.

In this course we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author's book joint with F. Str{\"o}mberg [1].

This text, based on the author's Bachelor's thesis, introduces the theory of Algebraic Operads, a mathematical formalism that provides a unifying framework for modern algebra. We demonstrate how the fundamental theories of associative,…

This article provides a (semi-)popular introduction to the phenomenology of neutrino masses.

This brief note, written for non-specialists, aims at drawing an introductive overview of the multiverse issue.

This is a kind of introduction to some basic topics in analysis, some of which would be covered in standard graduate courses, and some not. However, an important difference is that not much in the way of prerequisites are needed, beyond…

This text consists on a series of introductory lectures on cosmology for mathematicians and physicists who are not specialized on the subject.

We give an elementary introduction to the theory of supermembranes.

We introduce the notion of multi-pattern, a combinatorial abstraction of polyphonic musical phrases. The interest of this approach lies in the fact that this offers a way to compose two multi-patterns in order to produce a longer one. This…

These lecture notes provide an introduction to the theory and application of symmetry methods for ordinary differential equations, building on minimal prerequisites. Their primary purpose is to enable a quick and self-contained approach for…

You will find here a number of (mostly) elementary physics problems dealing mainly with uniform motion kinematics. In preparing this collection I have tried to create original situations that could help bring motivation to an introductory…