2 citations · 5 across the 11 of their papers we have counts for
12 papers
Rogers--Ramanujan identities from the geometry of
Yifeng Huang, Kenny Lau, Ken Ono
We prove the conjecture of Huang, Jiang, and Oblomkov (HJO) giving a geometric extension of the Rogers--Ramanujan and Andrews--Gordon identities for every torus-knot singularity $X…
Algebraic geometric framework of Rogers--Ramanujan identities
Yifeng Huang, Kenny Lau, Ken Ono +1
The Rogers--Ramanujan identities equate a -series whose exponents are governed by a quadratic form with an infinite product supported on two residue classes modulo~. Identiti…
A quadratic form generalization of rational dinv
Yifeng Huang
We introduce a quadratic form on the space of functions on the gap poset of the numerical semigroup . We prove combinatorially that when evaluated on th…
Punctual Quot schemes and Cohen--Lenstra series of the cusp singularity
Yifeng Huang, Ruofan Jiang
The Quot scheme of points on a variety over a field parametrizes quotient sheaves of of zero-dimensional support and len…
Counting matrix points on certain varieties over finite fields
Yifeng Huang, Ken Ono, Hasan Saad
Classical hypergeometric functions are well-known to play an important role in arithmetic algebraic geometry. These functions offer solutions to ordinary differential equations, an…
Lattices in and spiral shifting operators
Yifeng Huang, Ruofan Jiang
We investigate the algebra and combinatorics of an analogue of the Hermite normal form that classifies finite-index submodules of . We identity both normal form…
Counting on the variety of modules over the quantum plane
Yifeng Huang
Let be a fixed nonzero element in a finite field with elements. In this article, we count the number of pairs of matrices over $\mathbb F_…
Continuously Increasing Subsequences of Random Multiset Permutations
Alexander Clifton, Bishal Deb, Yifeng Huang +2
For a word and integer , we define to be the length of the longest subsequence of the form , and we let . In this paper we esti…
Mutually annihilating matrices, and a Cohen--Lenstra series for the nodal singularity
Yifeng Huang
We give a generating function for the number of pairs of matrices over a finite field that are mutually annihilating, namely, . This generating functi…
Cohomology of configuration spaces on punctured varieties
Yifeng Huang
In the theory of configuration spaces, "splitting" usually refers to the phenomenon that the configuration spaces on a manifold and those on its punctured version are closely relat…
Betti and Hodge numbers of configuration spaces of a punctured elliptic curve from its zeta functions
Gilyoung Cheong, Yifeng Huang
Given an elliptic curve defined over , let be an open subset of obtained by removing a point. In this paper, we show that the -th Betti number o…
Unit equations on quaternions
Yifeng Huang
A classical result about unit equations says that if and are finitely generated subgroups of , then the equation has only finitely many soluti…