Mazen M. Alhwaimel

activity

20232025

collaborators

4 papers

math.AG2025

Equivariant Chern character operators and Okounkov's conjecture

Mazen M. Alhwaimel, Zhenbo Qin

In this paper, we study the Chern character operators on the equivariant cohomology of the Hilbert schemes of points in the complex affine plane $C^{2}$ with the action of the torus…

math.AG2024

Recent developments on Gromov-Witten theory of Hilbert schemes of points on certain surfaces

Mazen Alhwaimel

In This paper, we survey recent progress on the theory of Gromov- Witten invariants on Hilbert schemes of points mainly on elliptic surfaces and simply connected minimal surface of…

math.AG2024

Toward Qin's Conjecture on Hilbert schemes of points and quasi-modular forms

Mazen M Alhwaimel

For a line bundle $L$ on a smooth projective surface $X$ and nonnegative integers $k_{1}, \dots, k_{N}$ , Okounkov \cite{Oko} introduced the reduced generating series $\big \langle {\r…

math.AG2023

Hilbert schemes of points on surfaces and multiple q-zeta values

Mazen M. Alhwaimel, Zhenbo Qin

For a line bundle $L$ on a smooth projective surface $X$ and nonnegative integers $k_{1}, \dots, k_{N}$ , Okounkov \cite{Oko} introduced the reduced generating series $\big \langle {\r…