M. Bertucci

activity

20242026

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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…

Matrix group Λ-distributions

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

Matrix group $Λ$ -distributions