collaborators

8 papers

math.CO2026

Distribution of Sandpile groups of random bipartite graphs

Deepesh Singhal

Fix a prime and a constant . Consider the random Erdős--Rényi bipartite graph with bipartition of sizes and $|V_2|=\lc…

math.CO2026

Sandpile groups of random bipartite graphs and families of distributions with the same moments

Jason Fulman, Nathan Kaplan, Deepesh Singhal +1

Recently, there has been significant interest in applying the method of moments developed by Wood and others to study distributions of finite abelian groups that arise in number th…

math.AG2026

Largest zero-dimensional intersection of degree hypersurfaces

Yuxin Lin, Deepesh Singhal

Suppose we have hypersurfaces in of degree , whose defining polynomials are linearly independent, and their intersection has dimension . Then what is the l…

math.CO2026

Distribution of Sandpile groups of random directed bipartite graphs

Deepesh Singhal

Fix a prime and a constant . Consider the random directed Erdős--Rényi bipartite graph with bipartition of si…

math.CO2026

The shape of a random numerical semigroup

Maria Bras-Amorós, Nathan Kaplan, Deepesh Singhal

We study statistical properties of random numerical semigroups of a given genus. We analyze the graph of a typical numerical semigroup, understood as a function from t…

math.CO2026

On the smallest partition associated to a numerical semigroup

Nathan Kaplan, Kaylee Kim, Cole McGeorge +2

The set of hook lengths of an integer partition is the complement of some numerical semigroup . There has been recent interest in studying the number of partitions with a g…