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#combinatorics

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Ross Kang

Just yesterday, I was musing to a (younger) research visitor, "I hope that within my lifetime we will still see another breakthrough on the bounds for R(3,k)"...

arxiv.org/abs/2505.13371

I am excited to see what developments follow on from here!

(Also that old adage: just as soon as you publish a survey (arxiv.org/abs/2501.03379) it is out of date.)

arXiv.orgA new lower bound for the Ramsey numbers $R(3,k)$We prove a new lower bound for the off-diagonal Ramsey numbers, \[ R(3,k) \geq \bigg( \frac{1}{3}+ o(1) \bigg) \frac{k^2}{\log k }\, , \] thereby narrowing the gap between the upper and lower bounds to a factor of $3+o(1)$. This improves the best known lower bound of $(1/4+o(1))k^2/\log k$ due, independently, to Bohman and Keevash, and Fiz Pontiveros, Griffiths and Morris, resulting from their celebrated analysis of the triangle-free process. As a consequence, we disprove a conjecture of Fiz Pontiveros, Griffiths and Morris that the constant $1/4$ is sharp.
#math#mathematics#combinatorics
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Ross Kang

A post of @11011110 has reminded me that (after a year and a half lurking here) it's never too late for me to toot and pin an intro here.

I am a Canadian mathematician in the Netherlands, and I have been based at the University of Amsterdam since 2022. I also have some rich and longstanding ties to the UK, France, and Japan.

My interests are somewhere in the nexus of Combinatorics, Probability, and Algorithms. Specifically, I like graph colouring, random graphs, and probabilistic/extremal combinatorics. I have an appreciation for randomised algorithms, graph structure theory, and discrete geometry.

Around 2020, I began taking a more active role in the community, especially in efforts towards improved fairness and openness in science. I am proud to be part of a team that founded the journal, Innovations in Graph Theory (igt.centre-mersenne.org/), that launched in 2023. (That is probably the main reason I joined mathstodon!) I have also been a coordinator since 2020 of the informal research network, A Sparse (Graphs) Coalition (sparse-graphs.mimuw.edu.pl/), devoted to online collaborative workshops. In 2024, I helped spearhead the MathOA Diamond Open Access Stimulus Fund (mathoa.org/diamond-open-access).

Until now, my posts have mostly been about scientific publishing and combinatorics.

#introduction
#openscience
#diamondopenaccess
#scientificpublishing
#openaccess
#RemoteConferences
#combinatorics
#graphtheory
#ExtremalCombinatorics
#probability

igt.centre-mersenne.orgInnovations in Graph Theory Innovations in Graph Theory
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2something

New account, new introduction!

I'm Beth. I'm a queer mathematician who loves musical theater, webcomics, teaching math, and my cat.

Favorite areas of math: Topology, geometry, and combinatorics.

Favorite musicals: Chess, Into the Woods, Next to Normal, Sunday in the Park With George, Sweeney Todd

Favorite webcomics: this is long enough to get its own post:
https://transfem.social/notes/a1ryogrga5qu00g9

#Introduction #Queer #Mathematician #Math #Musicals #MusicalTheater #MusicalTheatre #Webcomics #Teaching #TeachingMath #Cat #Cats #SillyGoose #Topology #Geometry #Combinatorics #Chess #ChessTheMusical #IntoTheWoods #NextToNormal #SundayInTheParkWithGeorge #SweeneyTodd #PandorasTaleWiki #RainverseWiki

TransFem Space@2somethingThis is a selection of my favorite #WebComics. They are in alphabetical order, NOT order of preference. Alice and the Nightmare https://www.aliceandthenightmare.com/ #AliceAndTheNightmare Castoff https://castoff-comic.com/ https://tapas.io/series/Castoff https://www.webtoons.com/en/challenge/castoff/list?title_no=50984 #Castoff Cosmic Fish https://cosmicfishes.com/ #CosmicFish Dumbing of Age https://www.dumbingofage.com/ #DumbingOfAge Heartless https://heartless-comic.com/ #heartless Heroes of Thantopolis https://www.heroesofthantopolis.com/ #HeroesOfThantopolis Inhibit by @evegwood@mastodon.social et al https://inhibitcomic.com/ https://tapas.io/series/Inhibit/info https://www.webtoons.com/en/challenge/inhibit/list?title_no=40462 #Inhibit Kiwi Blitz https://www.kiwiblitz.com/ #KiwiBlitz Lefty Cartoons https://leftycartoons.com/ #LeftyCartoons Lies Within https://www.lieswithincomic.com/ #LiesWithin Monster Lands https://monster-lands.com/ #MonsterLands Namesake https://www.namesakecomic.com/ #Namesake Never Heroes https://www.neverheroescomic.com/ #NeverHeroes Never Satisfied https://www.neversatisfiedcomic.com/ #NeverSatisfied Nix of Nothing by @MLeeLunsford@mastodon.social https://www.nixofnothing.com/ #NixOfNothing No End https://noendcomic.com https://tapas.io/series/No-End/info https://www.webtoons.com/en/canvas/no-end/list?title_no=909579 #NoEnd Novae https://www.novaecomic.com/ https://www.webtoons.com/en/challenge/novae/list?title_no=106507 #Novae Pandora's Tale by @comicsbyxan https://pandorastale.com/ https://tapas.io/series/Pandoras-Tale https://www.webtoons.com/en/challenge/pandoras-tale/list?title_no=287377 #PandorasTale Pathways: Chronicles of Tuvana http://pathways.elainetipping.com/ https://tapas.io/series/Pathways-Chronicles-of-Tuvana https://www.webtoons.com/en/challenge/pathways-chronicles-of-tuvana/list?title_no=128848 #PathwaysChroniclesOfTuvana Radio Silence http://www.radiosilencecomic.com/ https://www.webtoons.com/en/challenge/radio-silence/list?title_no=35242 #RadioSilence Rain by @LynnSenpai@retro.pizza https://rain.thecomicseries.com/ #rain Recoil https://recoil.one/ https://www.webtoons.com/en/challenge/recoil/list?title_no=256833 #recoil Ruin of the House of the Divine Visage by @evegwood@mastodon.social et al visagecomic.com #RuinOfTheHouseOfTheDivineVisage Saints' Quarter https://saintsquarter.com/ https://tapas.io/series/SaintsQuarter https://www.webtoons.com/en/challenge/saintsquarter/list?title_no=65944 #SaintsQuarter Sister Claire https://www.sisterclaire.com/ #SisterClaire Skyvein https://www.skyveincomic.com/ https://tapas.io/series/skyvein https://www.webtoons.com/en/challenge/skyvein/list?title_no=651351&webtoon-platform-redirect=true #skyvein Sleepless Domain https://www.sleeplessdomain.com/ #SleeplessDomain Slightly Damned https://www.sdamned.com/ #SlightlyDamned Speak of the Devil by @MLeeLunsford@mastodon.social https://www.speakdevil.com/ #SpeakOfTheDevil StarHammer https://www.starhammercomic.com/ #StarHammer Suihira: The City of Water http://suihira.com/ https://tapas.io/series/Suihira https://www.webtoons.com/en/challenge/suihira-the-city-of-water/list?title_no=39385 #suihira Supernormal Step by @MLeeLunsford@mastodon.social https://www.supernormalstep.com/ #SuperNormalStep Tamberlane https://www.tamberlanecomic.com/ https://www.webtoons.com/en/challenge/tamberlane/list?title_no=372674 #tamberlane The End http://www.endcomic.com/ #TheEnd The Order of the Stick https://www.giantitp.com/ #TheOrderOfTheStick The Property of Hate https://jolleycomics.com/TPoH/The_Hook/1 #ThePropertyOfHate The Psions https://tapas.io/series/The-Psions #ThePsions The Roommate From Hell http://enchantedpencil.com/roomie/ https://tapas.io/series/The-Roommate-From-Hell https://www.webtoons.com/en/challenge/the-roommate-from-hell/list?title_no=206046 #TheRoommateFromHell The Sanity Circus https://www.sanitycircus.com/ #TheSanityCircus #SanityCircus This Is Not Fiction https://www.thisisnotfiction.com #ThisIsNotFiction Tigress Queen https://www.tigressqueen.com/ #TigressQueen Widdershins https://widdershinscomic.com/ #widdershins
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Sean Reid

Hello #mathstodon, it’s great to be here! Hard to #introduce myself in 500 chars but here we go:

I currently work as an #SRE where I enjoy automating my job. I’ve also studied electron #optics at one of the world’s largest #laser facilities, built robotic tools for the #Apple #FaceID team, and written firmware for #autonomouscar #radar sensors.

I’m passionate about #combinatorics , #gametheory , and #numbertheory.

In my spare moments you can find me #composing #music, #hiking, and #reading.

The author, wearing a black shirt, a blue flat-brimmed cap, and blue glasses, playing the keyboard in a park.
Public
Artem Chernikov

#introduction

I am a professor of #mathematics at the University of California Los Angeles, and the director of the #UCLA Logic Center.

My main research interest is a branch of mathematical logic called #ModelTheory and its applications to #algebra, #geometry, #combinatorics and #ComputerScience.

Check out my thread about Saharon Shelah and number 4 (twitter.com/archernikov/status), or some courses that I've taught online: youtube.com/archernikov

Public
LipnLab

#introduction

We're the LIPN, a joint #ComputerScience Laboratory between the #CNRS and the University Sorbonne Paris Nord.

We're approximately 150 researchers, within five research teams :
- Machine Learning #ML
- Combinatorial #Optimization and High Performance Computing #HPC
- design and analysis of combinatorial models at the interface of physics, geometry and algorithmic #Combinatorics
- #Logic and #Verification
- Automatic natural language processing and knowledge representation #NLP.

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