Related papers: Sketch for a Theory of Constructs

This note is the follow up to a paper by M. Waldschmidt.

This rough note describes some attempts to define a notion of enriched topology (and the associated theory of enriched stacks) on a category enriched over a symmetric monoidal model category, and poses some related questions.

The purpose of this note is to give a number of open problems on matching theory and their relation to the well-known results in this area. We also give a linear analogue of the acyclic matchings.

This note is an expository account of the theory of staggered sheaves, based on a series of lectures given by the author at RIMS (Kyoto) in October 2008.

We provide an introduction to mathematical theory of scattering resonances and survey some recent results.

A survey of tilings in the plane for a general audience.

New cases of the multiplicity conjecture are considered.

Expanded lecture notes. Preliminary version, comments are welcome.

This note presents an application of the quasi-conform transformation in surveying.

In this brief note I try to give a simple example of where physical intuition about a collection of interacting qubits can lead to the construction of "natural" versions of what are, generically, quite abstract mathematical objects - in…

A construction sequence for a graph is a listing of the elements of the graph (the set of vertices and edges) such that each edge follows both its endpoints. The construction number of the graph is the number of such sequences. We determine…

A general theorem on fibers of singular sets is presented.

A short exposition with complete proofs of the theory of cluster expansions for an abstract polymer system is presented.

The point of this short note concerns with two facts on the scheme of secant loci. The first one is an attempt to describe the tangent cone of these schemes globally and the second one is a comparision on the dimension of the tangent spaces…

In these lecture notes I describe the theory of QCD and its application, through perturbation theory, at particle colliders.

We review recent developments in the theory of Thompson group representations related to knot theory.

This is a long introduction to the theory of "branch groups": groups acting on rooted trees which exhibit some self-similarity features in their lattice of subgroups.

It is argued that string theory may pose new conceptual issues for the history and philosophy of science.

An upward planar order on an acyclic directed graph $G$ is a special linear extension of the edge poset of $G$ that satisfies the nesting condition. This order was introduced to combinatorially characterize upward plane graphs and…

A result about projections of Gibbs measures from a particular class arising in economic modeling is proved.