Related papers: A proof of Sendov's conjecture
This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.
We prove a stability version of the Pr\'ekopa-Leindler inequality.
In this paper, we give a survey of the recent develpoments of the DDVV conjecture.
We give a new simpler proof of a theorem of Jayne and Rogers.
We survey recent developments on the Restriction conjecture.
We prove some new results related to Tanaka's formula.
We give a counterexample to a recently conjectured variant of the Penrose inequality.
We give a new proof of a lemma by L. Shepp, that was used in connection to random coverings of a circle.
We give a new proof of the existence of designs, which is much shorter and gives better bounds.
Our goal in the present paper is to give a new ergodic proof of a well-known Veech's result, build upon our previous works.
We prove Shokurov's index conjecture for quotient singularities.
In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.
We verify Katzarkov-Kontsevich-Pantev conjecture for Landau-Ginzburg models of smooth Fano threefolds.
We present an accurate detailed exposition of the proof of existence of the Alexander-Conway polynomial (of links in 3-dimensional space). Other proofs were given by J. Alexander, J. Conway, V. Mantourov and L. Kauffman.
Remarks on mathematical proof and the practice of mathematics.
This is a companion note to our paper 'Some advances on Sidorenko's conjecture', elaborating on a remark in that paper that the approach which proves Sidorenko's conjecture for strongly tree-decomposable graphs may be extended to a broader…
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
We present a streamlined and simplified proof of the Kakeya set conjecture in $\mathbb{R}^3$.
We survey Kondrat'ev--Landis' conjecture, providing an up-to-date account of the main advances and describing the techniques developed. We complement the overview with references and formulations of the problem in further closely connected…
I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.