Related papers: Recent advances on Kawaguchi-Silverman conjecture

We obtain average results on the Sato-Tate conjecture for elliptic curves for small angles.

We survey recent results on resolutions of Hibi rings.

In this presentation, I will summarize the present status of the developments with a Universal Theory of Relativity \cite{smw-utr}. Some general challenges to be overcome will also be discussed.

This note gives a new construction of Takayasu's cofibrations.

We prove the Invariant Subspace Conjecture for separable Hilbert spaces.

A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.

In this paper we survey many of the known results about Morse boundaries and stability.

Numerous research studies have been investigated on proxy signatures over the last decade. This survey reviews the research progress on proxy signatures, analyzes a few notable proposals, and provides an overall remark of these proposals.

We present an improved incremental selection algorithm of the selection algorithm presented in [1] and prove all the selected conjectures.

We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.

The talk contains a brief introduction string theory, followed by a discussion of some of the recent developments.

This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.

The supersymmetric theory of (color)superconductivity is investigated.

In this paper I survey some recent results on finite determination, convergence, and approximation of formal mappings between real submanifolds in complex spaces. A number of conjectures are also given.

This survey aims to give an overview of several substantial developments of the last 50 years in the structure theory of regular semigroups and to shed light on their impact on other parts of semigroup theory.

We explain a connection between the combinatorial Kashiwara-Vergne conjecture and the Kontsevich formula for quantization of Poisson manifolds

This is an extension and background to a talk I gave on 9 October 2013 to the Brown Graduate Student Seminar, called `A friendly intro to sieves with a look towards recent progress on the twin primes conjecture.' During the talk, I mention…

This paper, written in relation to the Current Developments in Mathematics 2012 Conference, discusses the recent papers on perfectoid spaces. Apart from giving an introduction to their content, it includes some open questions, as well as…

In this revised version, we add some expository material and references and make some minor corrections.

In this paper, we propose a generalization of a congruence due to Carlitz.