collaborators

6 papers

math.NT2026

Ordinary primes for -type abelian varieties and weight modular forms

Tian Wang, Pengcheng Zhang

Let be a -dimensional abelian variety defined over a number field . It is conjectured that the set of ordinary primes of over has positive density, and this is kn…

math.AG2025

On the Nonprojectedness of Supermoduli with Neveu-Schwarz and Ramond Punctures

Tianyi Wang

We study the supermoduli space of Super Riemann Surfaces (SRS) of genus , with Neveu-Schwarz punctures and Ramond punctures. We improve the res…

math.NT2025

Rational points on varieties defined by multihomogeneous diagonal forms

Doyon Kim, Tian Wang

We give an asymptotic formula for the number of rational points of bounded height on algebraic varieties defined by systems of multihomogeneous diagonal equations. The proof uses t…

math.NT2025

Effective open image theorem and a Linnik type problem for elliptic curves

Tian Wang, Zhining Wei

We study an effective open image theorem for families of elliptic curves and products of elliptic curves ordered by conductor. Unconditionally, we prove that for of pairs o…

math.NT2025

Distribution of supersingular primes for abelian surfaces

Tian Wang

Let be an absolutely simple abelian surface defined over a number field . We give unconditional upper bounds for the number of prime ideals of with norm…

math.RA2025

Counting pairs of conics over finite fields that satisfy the Poncelet -gon condition

Tianhao Wang

An ordered pair of smooth conics satisfies the Poncelet triangle condition if there is a triangle inscribed in the first conic and circumscribed in the second conic. Over a finite…