Abhishek Khetan

activity

20152026

most citedEnhancing electrochemical intermediate solvation through electrolyte anion selection to increase nonaqueous Li-O

_{2}

battery capacity

349 citations · 387 across the 12 of their papers we have counts for

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2026

A Counterexample to Nivat's Conjecture for a Non-Convex Window of Full Affine Span

Abhishek Khetan

We construct an exact cluster $F \subseteq Z^{2}$ of cardinality $8$ with full affine span, together with an $F$ -tiling $T$ , such that the orbit closure of $T$ in $\{0,1\}^{\m…

math.CO2021

A Periodicity Result for Tilings of $Z^{3}$ by Clusters of Prime-Squared Cardinality

Abhishek Khetan

We show that if $Z^{3}$ can be tiled by translated copies of a set $F \subseteq Z^{3}$ of cardinality the square of a prime then there is a weakly periodic $F$ -tiling of…

math.CO2021

A Ramsey Theorem for Graded Lattices

Abhishek Khetan, Amitava Bhattacharya

We develop a Van der Waerden type theorem in an axiomatic setting of graded lattices and show that this axiomatic formulation can be applied to various lattices, for instance the s…

A Counterexample to Nivat's Conjecture for a Non-Convex Window of Full Affine Span

A Periodicity Result for Tilings of Z3 by Clusters of Prime-Squared Cardinality

A Ramsey Theorem for Graded Lattices

A Periodicity Result for Tilings of $Z^{3}$ by Clusters of Prime-Squared Cardinality