activity
20102023
most citedA new method for solving the elliptic curve discrete logarithm problem

8 citations · 10 across the 9 of their papers we have counts for

collaborators

10 papers

math.AG2023

Downgrading of a T-variety

Pavankumar Dighe, Vivek Mohan Mallick

For an affine -variety with the action of a torus , this paper provides a combinatorial description of with respect to the action of a subtorus in term…

math.AG2023

Equivariant Chow groups of a complexity one T-variety

Pavankumar Dighe, Vivek Mohan Mallick

The paper provides a computation of the equivariant Chow group of a rational, complete, complexity one -variety

math.AG2023

Comparing two Proj-like constructions on toric varieties

Vivek Mohan Mallick, Kartik Roy

The paper explores the relation between Perling's toric Proj of a multigraded ring A associated with a toric variety (tProj A), and Brenner and Schroer's homogeneous spectrum ProjM…

math.CT2022

Noncommutative tensor triangulated categories and coherent frames

Vivek Mohan Mallick, Samarpita Ray

We develop a point-free approach for constructing the Nakano-Vashaw-Yakimov-Balmer spectrum of a noncommutative tensor triangulated category under some mild assumptions. In particu…

math.AG2021★ 1 cited

Properties of Multihomogeneous Spaces and relation with T-varieties

Vivek Mohan Mallick, Kartik Roy

We study multihomogeneous spaces corresponding to -graded algebras over an algebraically closed field of characteristic 0 and their relation with the description of…

cs.CR2020★ 8 cited

A new method for solving the elliptic curve discrete logarithm problem

Ansari Abdullah, Ayan Mahalanobis, Vivek M. Mallick

The elliptic curve discrete logarithm problem is considered a secure cryptographic primitive. The purpose of this paper is to propose a paradigm shift in attacking the elliptic cur…

math.AG2018

Multifiltrations

José Ignacio Burgos Gil, Vivek Mohan Mallick

This paper deals with properties of filtrations on vector spaces indexed by partially ordered finitely generated abelian groups, which we call multifiltrations. We discuss the usua…

cs.CR2017

A Las Vegas algorithm to solve the elliptic curve discrete logarithm problem

Ayan Mahalanobis, Vivek Mallick

In this paper, we describe a new Las Vegas algorithm to solve the elliptic curve discrete logarithm problem. The algorithm depends on a property of the group of rational points of…

math.AG2015

On Differential Graded Eilenberg Moore Construction

Umesh V. Dubey, Vivek Mohan Mallick

This paper studies the Eilenberg Moore construction on DG categories. As applications one proves results on factoring of monads as composition of a pair of adjoint exact functors a…

math.AG2010★ 1 cited

Triangular spectrum of some triangulated categories

Umesh V. Dubey, Vivek M. Mallick

In this paper, we compute triangular spectrum (as defined by P. Balmer) of two classes of tensor triangulated categories which are quite common in algebraic geometry. One of them i…