Manik Dhar

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20242026

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math.CO2026

Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes

Joshua Brakensiek, Manik Dhar, Jiyang Gao +2

We establish a connection between problems studied in rigidity theory and matroids arising from linear algebraic constructions like tensor products and symmetric products. A specia…

math.CO2025

Iterated sumset expansion in $F_{p}^{n}$

Manik Dhar, Sammy Luo

Given a set $A \subseteq F_{p}^{n}$ , what conditions does one need to guarantee that iterated sumsets of the form $A + \dots + A$ expand quickly (say, within $O (p)$ terms) to the…

math.CO2025

Covering points with planes

Hailong Dao, Manik Dhar, Izabella Åaba +1

Suppose that each proper subset of a set $S$ of points in a vector space is contained in the union of planes of specified dimensions, but $S$ itself is not contained in any such un…

Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes

Iterated sumset expansion in Fpn​

Covering points with planes

Iterated sumset expansion in $F_{p}^{n}$