Latest posts tagged with #AlgComb on Bluesky
#MathSky #AlgComb
Many people ask me what I study as an algebraic combinatorialist. I don't usually share too much to avoid doxxing myself (it's a niche area after all), but here's an interesting example I feel compelled to share:
(continued in reply)
This trend has been going viral on tw*tter so I'll cross-post my entry here as well.
Four math books that had a big influence on my mathematical thinking. Your turn.
#MathSky #AlgComb
Hey babe, are you the type of conjugate-partition symmetry exhibited by Macdonald polynomials? Cuz damn, you're a (q,t)!
#mathsky #algcomb
Symmetric function theorists:
Since the plethystic substitution & evaluation maps don't commute in general due to an extra factor of (-1)^n involved when evaluating the plethysm of a negation (a problem when n is odd), would a characteristic 2 setting solve this problem?
#MathSky #AlgComb
Anonymous question: What's your favourite theorem
Babai, 1980: All finite groups except C₂², C₂³, C₂⁴, C₃² and Q₈ admit a digraphical regular representation (DRR).
A group G admits a DRR if there exists a directed graph X whose automorphism group is isomorphic to G and acts regularly on the vertex set of X.
#MathSky #AlgComb
https://www.wired.com/story/after-20-years-math-couple-solves-major-group-theory-problem/
I hope to find a partner equally obsessed with algebraic combinatorics in the future. Maybe, just maybe, we'll be able to find a Littlewood-Richardson rule for multiplying two Schubert polynomials at some point.
#MathSky #AlgComb
What I find fascinating about #AlgComb is that it's an umbrella term for lots of loosely related stuff. Someone studying q-analogs of combinatorial quantities might know little about matroids or symmetric functions or Hodge theory, and vice versa. I've only just begun uncovering some of this haha
#MathSky #AlgComb
A nice resource for those interested in the various families of polynomials associated with the ring of symmetric functions.
www.symmetricfunctions.com
Just for my own later reference:
Wanna use this symbol to denote a singular surface, or sth else in the future.
#math #mathsky #algcomb
#JobAlert: The deadline for a #PostDoc in my research group in Algebraic Combinatorics is on Monday Jan 6:
www.combinatorial-synergies.de/job-openings...
Spread the word and apply if you are interested!
#Math #MathJobs #MathSky #AlgComb
#MathSky #AlgComb
The automorphism group of the Cartesian product of connected prime graphs is isomorphic to the aut group of the disjoint union of the prime factors. Is there a category-theoretic explanation? In the category of sets, ⊔ is dual to ×. Is there something similar in the cat of graphs?
#MathSky
Alright, 1st #AlgComb post
Tatsuyuki Hikita recently claimed to have proven the Stanley-Stembridge conjecture. Obviously, big if true, but what do experts think? Whilst I can't judge the proof's validity as a layman, the probabilistic methods introduced are interesting to say the least.
#MathSky #AlgComb
Any algebraic combinatorialists (incl. algebraic graph theorists) here? Would like to know more people in the field I'm most interested in, and possibly make an algcomb starter pack here.
Non-algcomb people welcome too as long as there's interest in discussing algcomb topics.
