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An overview of the recent developments in plurifine potential theory.

Complex Variables · Mathematics 2012-07-04 Jan Wiegerinck

We give a survey on recent development of the Novikov conjecture and its applications to topological rigidity and non-rigidity. .

Geometric Topology · Mathematics 2020-01-08 Guoliang Yu

A few aspects of the mechanism of confinement of color by monopole condensation are reviewed.

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo

Some recent results in supersymmetric grand unified theories are reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Barger , M. S. Berger , P. Ohmann

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

Number Theory · Mathematics 2017-04-14 Thomas Baruchel

We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while…

Number Theory · Mathematics 2015-03-13 Zhi-Wei Sun

In this short note we improve the best to date bound in Godbersen's conjecture, and show some implications for unbalanced difference bodies.

Metric Geometry · Mathematics 2017-03-21 Shiri Artstein-Avidan

In this paper we investigate the recent advances by Zhang, Maynard and Pintz towards Polignac's conjecture and give some new results concerning the relationship between Polignac numbers and arithmetic progressions.

Number Theory · Mathematics 2014-04-16 Stijn Hanson

We prove a recent conjecture by Ulas on reducible polynomial substitutions.

Number Theory · Mathematics 2019-08-01 Peter Müller

Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.

Mathematical Physics · Physics 2009-07-19 Boris A. Kupershmidt

I review the recent progress in small $x$ physics, concentrating on the topics relevant to the BFKL evolution.

High Energy Physics - Phenomenology · Physics 2007-05-23 Hsiang-nan Li

In this thesis, we scrutinize the literature to trace the evolution of the concepts surrounding the weak cosmic censorship conjecture and the attempts to prove or disprove it. We discuss its development over the years, its conceptual…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Ahmet Cem Erdogan

I report on recent theoretical developments at Quark Matter 2006.

High Energy Physics - Phenomenology · Physics 2009-11-13 Larry McLerran

A brief overview is given of recent progress in understanding the dynamics of hot gauge theories.

High Energy Physics - Theory · Physics 2007-05-23 Laurence G. Yaffe

A survey of recent progress in three areas of algebraic combinatorics: (1) the Saturation Conjecture for Littlewood-Richardson coefficients, (2) the n! and (n+1)^{n-1} conjectures, and (3) longest increasing subsequences of permutations.

Combinatorics · Mathematics 2007-05-23 Richard P. Stanley

We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature.…

Commutative Algebra · Mathematics 2022-01-19 Giulio Caviglia , Alessandro De Stefani , Enrico Sbarra

This is an extended abstract for a survey talk given in Oberwolfach on 1st December 2022, slightly updated in June 2023. I survey some work around the notion of quasiminimality and some of the progress towards Zilber's conjecture from the…

Logic · Mathematics 2023-06-12 Jonathan Kirby

In this article we survey some of the recent developments in the structure theory of set addition.

Classical Analysis and ODEs · Mathematics 2012-12-04 Tom Sanders

We review recent progress in the studies of left handed materials.

Materials Science · Physics 2007-05-23 P. Markos , C. M. Soukoulis

We survey progress on the Kakeya conjecture in Euclidean space, with an emphasis on developments that have occurred since the previous surveys by Wolff and Katz-Tao.

Classical Analysis and ODEs · Mathematics 2025-12-11 Joshua Zahl