Avinash Kulkarni

activity

20162023

most citedDeep Learning Gauss-Manin Connections

8 citations · 15 across the 10 of their papers we have counts for

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math.NT2021

Sixteen points in $P^{4}$ and the inverse Galois problem for del Pezzo surfaces of degree one

Avinash Kulkarni

A del Pezzo surface of degree one defined over the rationals has 240 exceptional curves. These curves are permuted by the action of the absolute Galois group. We show how a solutio…

math.NT2017★ 3 cited

An arithmetic invariant theory of curves from $E_{8}$

Avinash Kulkarni

Let $k$ be a field of characteristic 0, let $C / k$ be a uniquely trigonal genus 4 curve, and let $P \in C (k)$ be a simply ramified point of the uniquely trigonal morphism. We constr…

math.NT2016

An explicit family of cubic number fields with large $2$ -rank of the class group

Avinash Kulkarni

We show how to construct infinite families of explicitly determined cubic number fields whose class group has a subgroup isomorphic to $(Z /2)^{8}$ using degree $1$ del Pezzo…

Sixteen points in P4 and the inverse Galois problem for del Pezzo surfaces of degree one

An arithmetic invariant theory of curves from E8​

An explicit family of cubic number fields with large 2-rank of the class group

Sixteen points in $P^{4}$ and the inverse Galois problem for del Pezzo surfaces of degree one

An arithmetic invariant theory of curves from $E_{8}$

An explicit family of cubic number fields with large $2$ -rank of the class group