M. Bertucci

activity

20242026

collaborators

4 papers

math.RT2026

Matrix group $Λ$ -distributions

Matthew Bertucci, Sam Van Blarcom, Benjamin Glancy +7

The $Λ$ -distribution of a compact matrix group is an invariant in algebraic probability theory that was recently introduced to study zero distributions of function field $L$ -functi…

math.AG2026

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

Rahul Ajit, Matthew Bertucci

Let $X$ be a quasiprojective subscheme of $P_{F_{q}}^{n}$ . We prove a Bertini theorem for Hilbert--Samuel multiplicity of $X$ ; that is, there exists a positive-densit…

math.NT2025

Equidistribution and arithmetic $Λ$ -distributions

Matthew Bertucci, Sean Howe

We formulate an abstract notion of equidistribution for families of $λ$ -probability spaces parameterized by admissible $Z$ -sets. Under the assumption of equidistribution,…

math.AG2024

Taylor conditions over finite fields

Matthew Bertucci

We extend Poonen's Bertini theorem over finite fields to Taylor conditions arising from locally free quotients of the sheaf of differentials on projective space. This is motivated…

Matrix group Λ-distributions

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

Equidistribution and arithmetic Λ-distributions

Taylor conditions over finite fields

Matrix group $Λ$ -distributions

Equidistribution and arithmetic $Λ$ -distributions