Anand Patel

activity

20122026

most citedThe Picard rank conjecture for the Hurwitz spaces of degree up to five

13 citations · 41 across the 21 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018

The rank two $p$ -curvature conjecture on generic curves

Anand Patel, Ananth N. Shankar, Junho Peter Whang

We prove the $p$ -curvature conjecture for rank two vector bundles with connection on generic curves, by combining deformation techniques for families of varieties and topological a…

math.AG2018★ 5 cited

Syzygy divisors on Hurwitz spaces

Anand Deopurkar, Anand Patel

We describe a sequence of effective divisors on the Hurwitz space $H_{d, g}$ for $d$ dividing $g - 1$ and compute their cycle classes on a partial compactification. These divisors ari…

math.AG2018★ 2 cited

Orbits in $(P^{r})^{n}$ and equivariant quantum cohomology

Mitchell Lee, Anand Patel, Hunter Spink +1

We compute the $G L_{r + 1}$ -equivariant Chow class of the $G L_{r + 1}$ -orbit closure of any point $(x_{1}, \dots, x_{n}) \in (P^{r})^{n}$ in terms of the rank polytope of the matroid…

The rank two p-curvature conjecture on generic curves

Syzygy divisors on Hurwitz spaces

Orbits in (Pr)n and equivariant quantum cohomology

The rank two $p$ -curvature conjecture on generic curves

Orbits in $(P^{r})^{n}$ and equivariant quantum cohomology