Related papers: Some recent progress on the Restriction conjecture

Probably we have observed a new simple phenomena dealing with approximations to two real numbers.

This is an informal paper presenting historical results around the recent paper of the author about Lang's Conjecture and torsion of elliptic curves. This paper also discusses a few aspects of the proof.

The status of the theory of color confinemnt is discussed.

A short overview of recent developments on resummations in QCD is presented.

We discuss some recent developments in small x physics.

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

The purpose of this note is to discuss several results that have been obtained in the last decade in the context of sharp adjoint Fourier restriction/Strichartz inequalities. Rather than aiming at full generality, we focus on several…

We discuss recent advances on weak forms of the Prime $k$-tuple Conjecture, and its role in proving new estimates for the existence of small gaps between primes and the existence of large gaps between primes.

This is a brief survey of recent results related to austere submanifolds, mainly based on the papers [24,25].

In this paper, we obtained an equivalent proposition of Brennan`s conjecture. And given two lower bound estimation of the conjecture one of them connected with Schwarzian derivative. The present study also verified the correctness of the…

We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.

We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.

An technically interesting proof of a known theorem.

We extend a recent breakthrough result relating expectation thresholds and actual thresholds to include some rainbow versions.

In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.

This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.

Some recent developments in the theory of quantum spin systems are reviewed.

Recent developments in cosmic strings are reviewed, with emphasis on unresolved problems.

We briefly review some of the recent developments in QCD spin physics.

A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components. We restrict ourselves to some key results and refer to the…