M. Shusterman

activity

20152026

most citedNonvanishing of hyperelliptic zeta functions over finite fields

6 citations · 18 across the 19 of their papers we have counts for

collaborators

30 papers

math.GR2026

High Rank and Multiplicity in Random and Perfect Profinite Groups

Carlo Pagano, Mark Shusterman

We prove that almost sure topological finite generation holds for a general class of random models of profinite groups. We deduce that in the models introduced by Liu--Wood and Saw…

math.NT2026

Chowla's non-vanishing conjecture over $F_{q} (T)$

Peter Koymans, Carlo Pagano, Mark Shusterman

Let $q \equiv 1 mod 8$ be a prime power. We prove that $L (\frac{1}{2}, χ) \neq = 0$ for 100% of the imaginary quadratic Dirichlet characters of $F_{q} (T)$ .

math.RT2026

A hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type $A$

Erez Lapid, Mark Shusterman

For irreducible components $C_{σ}$ of Lusztig's nilpotent varieties of type $A$ with graded dimension $(1, 2, \dots, n, n - 1, \dots, 1)$ arising from permutations $σ \in S_{n}$ , we characteriz…

math.RA2026

Non-finitely Presented Lie Algebras of Type $F P_{2}$

Mark Shusterman

Building on work of Kassel--Loday and Zelmanov--Zhang, we show that a Steinberg Lie algebra of the complex group algebra of a (suitable) Bestvina--Brady group is of type $F P_{2}$ and…

math.GR2026

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Discrete Groups

Tal Cohen, Mark Shusterman

We prove the Virtual Surjection Conjecture for discrete groups, both for property $F_{n}$ and for property $F P_{n}$ : given a product of groups of type $F_{k}$ (respectively $F P_{k}$ ),…

math.GR2026

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Profinite Groups

Tal Cohen, Mark Shusterman

We prove the Virtual Surjection Conjecture for profinite groups. Namely, given a product of $n$ profinite $FP_{k}$ groups, a subgroup that virtually surjects onto $k$ -tupl…

High Rank and Multiplicity in Random and Perfect Profinite Groups

Chowla's non-vanishing conjecture over Fq​(T)

A hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type A

Non-finitely Presented Lie Algebras of Type FP2​

Virtual Surjection and the n-(n+1)-(n+2) Theorem for Discrete Groups

Virtual Surjection and the n-(n+1)-(n+2) Theorem for Profinite Groups

Chowla's non-vanishing conjecture over $F_{q} (T)$

A hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type $A$

Non-finitely Presented Lie Algebras of Type $F P_{2}$

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Discrete Groups

Virtual Surjection and the $n$ - $(n + 1)$ - $(n + 2)$ Theorem for Profinite Groups