Related papers: An introduction to multiple gaps
This is a survey paper based on my talk at the Workshop on Orbifolds and String Theory, the goal of which was to explain the role of groupoids and their classifying spaces as a foundation for the theory of orbifolds.
This article provides a brief introductory account of the theory of aperiodic order.
This is a replacement paper. There are 6 chapters. The first two chapters are introductory. The third chapter is on extremal graph theory. The fourth chapter is about algebra in graph theory. The fifth chapter is focused on algorithms. The…
These lectures are a brief introduction to supersymmetry.
This is a brief pedagogical introduction to the theory of large deviations. It appeared in the ICTS Newsletter 2017 (Volume 3, Issue 2), goo.gl/pZWA6X.
It is a basic introduction to differential graded Lie algebras, Maurer-Cartan equation and associated deformation functors.
This article gives a conceptual introduction to the topos approach to the formulation of physical theories.
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
We give a rather informal introduction to the theory of mixed Hodge modules for young mathematicians.
This is an introduction to some recent developments in string theory and M theory. We try to concentrate on the main physical aspects, and often leave more technical details to the original literature.
This is a detailed introductory survey of the cohomological dimension theory of compact metric spaces.
Introduction to papers on the modeling and analysis of network data
This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics
Short introduction to the gauge/gravity duality
Some formulas and speculations are presented relative to integrable systems and quantum mechanics.
This is a short survey of amenable equivalence relations.
A review article on perturbation theory
A Short Course on Frame Theory.
Diese kurze Einfuehrung in Theorie und Berechnung linearer Rekurrenzen versucht, eine Luecke in der Literatur zu fuellen. Zu diesem Zweck sind viele ausfuehrliche Beispiele angegeben. This short introduction to theory and usage of linear…
A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.