Yifeng Huang

activity

20192026

most citedUnit equations on quaternions

2 citations · 5 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.NT2026

Rogers--Ramanujan identities from the geometry of $X^{a} = Y^{b}$

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…

math.NT2026

Algebraic geometric framework of Rogers--Ramanujan identities

Yifeng Huang, Kenny Lau, Ken Ono +1

The Rogers--Ramanujan identities equate a $q$ -series whose exponents are governed by a quadratic form with an infinite product supported on two residue classes modulo~ $5$ . Identiti…

math.CO2026

A quadratic form generalization of rational dinv

Yifeng Huang

We introduce a quadratic form $Q$ on the space of functions on the gap poset $G$ of the numerical semigroup $⟨ a, b ⟩$ . We prove combinatorially that when evaluated on th…

Rogers--Ramanujan identities from the geometry of Xa=Yb

Algebraic geometric framework of Rogers--Ramanujan identities

A quadratic form generalization of rational dinv

Rogers--Ramanujan identities from the geometry of $X^{a} = Y^{b}$