activity
20192025
most citedConvergence of Bergman measures towards the Zhang measure

5 citations · 10 across the 5 of their papers we have counts for

collaborators

6 papers

cs.CL2025

Command A: An Enterprise-Ready Large Language Model

Team Cohere, :, Aakanksha +227

In this report we describe the development of Command A, a powerful large language model purpose-built to excel at real-world enterprise use cases. Command A is an agent-optimised…

math.DG2022★ 1 cited

Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem

Mattias Jonsson, Nicholas McCleerey, Sanal Shivaprasad

We give new proofs of two implications in the Donaldson--Uhlenbeck--Yau theorem. Our proofs are based on geodesic rays of Hermitian metrics, inspired by recent work on the Yau--Tia…

math.AG2021

Boundedness of semistable sheaves

Haoyang Guo, Sanal Shivaprasad, Dylan Spence +1

In this expository article, we follow the work of Langer to prove the boundedness of the moduli space of semistable torsion-free sheaves over a projective variety, in any character…

math.AG2020★ 2 cited

Convergence of Narasimhan-Simha measures on degenerating families of Riemann surfaces

Sanal Shivaprasad

Given a compact Riemann surface and a positive integer , Narasimhan and Simha defined a measure on associated to the -th tensor power of the canonical line bundle. We…

math.AG2020★ 5 cited

Convergence of Bergman measures towards the Zhang measure

Sanal Shivaprasad

We prove a folklore conjecture that the Bergman measure along a holomorphic family of curves parametrized by the punctured unit disk converges to the Zhang measure on the associate…

math.DG2019★ 2 cited

Convergence of volume forms on a family of log-Calabi-Yau varieties to a non-Archimedean measure

Sanal Shivaprasad

We study the convergence of volume forms on a degenerating holomorphic family of log-Calabi-Yau varieties to a non-Archimedean measure, extending a result of Boucksom and Jonsson.…