3 papers
math.CO2025
Maximal transitivity of the cactus group on standard Young tableaux
Sophia Liao, Leonid Rybnikov
The action of the cactus group on Young tableaux of a given shape goes back to Berenstein and Kirillov and arises naturally in the study of crystal bases and quantum inte…
math.NT2023
A Goldbach theorem for Laurent polynomials with positive integer coefficients
Sophia Liao, Harold Polo
We establish an analogue of the Goldbach conjecture for Laurent polynomials with positive integer coefficients.
math.AC2023
Arithmetic of semisubtractive semidomains
Hannah Fox, Agastya Goel, Sophia Liao
A subset of an integral domain is called a semidomain if the pairs and are commutative and cancellative semigroups with identities. The multi…