Zhao Yu Ma

collaborators

3 papers

math.NT2026

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $F_{q} [t]$

Zhao Yu Ma

Many arithmetic sums over function fields can be expressed in terms of $H_{i} (B_{n}, V^{\otimes n})$ for some braided vector space $V$ , and a vanishing line for these homology groups g…

math.NT2026

On the pointwise convergence of the number of abelian varieties over $F_{p}$ with fixed trace

Zhao Yu Ma, Jit Wu Yap, Jeff Achter +1

Extending Katz-Sarnak heuristics, Ballini-Lombardo-Verzobio [BLV25] conjectures a limiting distribution as $p \to \infty$ for $# A_{g} (F_{p}, t)$ , the number of $g$ -dimensional…

math.NT2026

Weight filtration of Hurwitz spaces and quantum shuffle algebras

Zhao Yu Ma

We prove an equivalence between filtrations of primitive bialgebras and filtrations of factorizable perverse sheaves, generalizing the results obtained by Kapranov-Schechtman. Unde…

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over Fq​[t]

On the pointwise convergence of the number of abelian varieties over Fp​ with fixed trace

Weight filtration of Hurwitz spaces and quantum shuffle algebras

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $F_{q} [t]$

On the pointwise convergence of the number of abelian varieties over $F_{p}$ with fixed trace