Kelvin Lam

activity

20232026

collaborators

5 papers

math.NT2026

Consecutive Rankin-Cohen Bases, Full-Spark Periods, and Divisor-Tau Congruences

Kelvin Lam

For $r \geq 1$ , let $K = 2 r + 14$ and $d = dim S_{K}$ . We prove strict positivity for determinants of Mellin period functionals, yielding a full-spark theorem for periods in a fundamental ha…

math.DG2026

Conformal boundary rigidity for simple Finsler metrics

Kelvin Lam, Hanming Zhou

In this paper we prove that simple Finsler manifolds are conformally stable. Given a simple Finsler manifold and a class of conformal factors, we characterize the singularity of th…

math.NT2025

Transcendence and algebraic independence of a family of $p$ -adic valuation generating functions

Kelvin Lam

We show that $T_{p} (z) = \prod_{j = 1}^{\infty} (1 - z^{p^{j}})^{- 1/ p^{j}}$ is transcendental over $Q (z)$ , and establish the transcendence of its values at nonzero algeb…

math.DG2023

Determination of DN map from the scattering relation for simple surfaces at low regularity

Kelvin Lam

In this paper we prove that on a simple surface where the metric is $C^{17}$ , the scattering relation determines the Dirichlet to Neumann map (DN map) - a known result for the case…

math.AP2023

Microlocal analysis of the X-ray transform in non-smooth geometry

Joonas Ilmavirta, Antti Kykkänen, Kelvin Lam

We prove that the geodesic X-ray transform is injective on $L^{2}$ when the Riemannian metric is simple but the metric tensor is only finitely differentiable. The number of derivativ…

Consecutive Rankin-Cohen Bases, Full-Spark Periods, and Divisor-Tau Congruences

Conformal boundary rigidity for simple Finsler metrics

Transcendence and algebraic independence of a family of p-adic valuation generating functions

Determination of DN map from the scattering relation for simple surfaces at low regularity

Microlocal analysis of the X-ray transform in non-smooth geometry

Transcendence and algebraic independence of a family of $p$ -adic valuation generating functions