Ramesh Sreekantan

activity

20002026

most citedK_1 of products of Drinfeld modular curves and special values of L-functions

3 citations · 17 across the 21 of their papers we have counts for

collaborators

21 papers

math.AG2026

Torsion cycles on Fermat varieties

Ramesh Sreekantan

A theorem of Manin and Drinfeld states that any divisor of degree $0$ on the cusps of a modular curve is torsion in the Jacobian. An elegant proof of this result was provided by El…

math.NT2025

Equations defining Jacobians with Real Multiplication

Rahul Mistry, Ramesh Sreekantan

If $C : y^{2} = x (x - 1) (x - a_{1}) (x - a_{2}) (x - a_{3})$ is genus $2$ curve a natural question to ask is: Under what conditions on $a_{1}, a_{2}, a_{3}$ does the Jacobian $J (C)$ have real multiplication by…

math.AG2025

Algebraic cycles and values of Green's functions -- Products of Elliptic Curves

Ramesh Sreekantan

Gross and Zagier defined certain `higher Green's functions' on products of modular curves and conjectured that the value of these functions at complex multiplication points should…

math.AG2024

Motivic cycles on K3 double covers of del Pezzo surfaces

Ramesh Sreekantan

We construct motivic cohomology cycles in the group $H_{M}^{3} (Z, Q (2))$ where $Z$ is a K3 surface obtained as a double cover of a del Pezzo surface $X$ branched at…

math.AG2024

Indecomposable motivic cycles on K3 surfaces of degree 2

Ramesh Sreekantan

In this paper we construct new indecomposable motivic cycles in the group $H_{M}^{3} (X, Q (2))$ where X is a degree 2 K3 surface. This generalizes our construction i…

hep-th2023★ 2 cited

Singularities of Feynman Integrals

Tanay Pathak, Ramesh Sreekantan

In this paper, we study the singularities of Feynman integrals using homological techniques. We analyse the Feynman integrals by compactifying the integration domain as well as the…