activity
20062026
most citedRelative dynamical degrees of correspondences over a field of arbitrary characteristic

43 citations · 239 across the 66 of their papers we have counts for

collaborators

76 papers

math.CA2026

Polynomial corners in finite fields beyond the distinct-degree case

Ji Li, Chun-Yen Shen, Tuyen Trung Truong +1

We prove a quantitative polynomial Roth theorem for corners in \(\mathbb F_p^2\) for arbitrary pairs of linearly independent polynomials. More precisely, given a positive integer $…

math.AG2026

On the structure and generic non-Cartesianity of polynomials in product spaces

Chun-Yen Shen, Tuyen Trung Truong, Wei-Hsuan Yu

We develop a general theory of Cartesian and non-Cartesian polynomials on products of complex spaces . We prove that, for an…

math.DS2025

Standard conjecture D and some conjectures around Weil's Riemann hypothesis

Tuyen Trung Truong

Let be a smooth projective variety defined on a finite field . On there is a special morphism , which raises coordinates to exponent : …

math.OC2025

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee

Tuyen Trung Truong

In this paper, we introduce some new iterative optimisation algorithms on Riemannian manifolds and Hilbert spaces which have good global convergence guarantees to local minima. Mor…

math.AG2025

Tate's question, Standard conjecture D, semisimplicity and Dynamical degree comparison conjecture

Fei Hu, Tuyen Trung Truong, Junyi Xie

Let be a smooth projective variety of dimension over the algebraic closure of a finite field . Assuming the standard conjecture , we prove a weaker form of…

math.CV2025

Uniqueness of tangent currents for positive closed currents

Viet-Anh Nguyen, Tuyen Trung Truong

Let be a complex manifold of dimension and let be a Kähler submanifold of dimension and let be a piecewise -smooth domain…