M. Shusterman

activity

20172026

most citedMöbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields

1 citations · 1 across the 12 of their papers we have counts for

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9 papers · 1 filter

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…

math.NT2026

Arithmetic Wu Formulas and the Generalized Hecke Theorem

Shachar Carmeli, Mark Shusterman, Sa'ar Zehavi

We construct canonical Steenrod square operations on the Geisser--Schmidt/Milne modified compactly supported étale cohomology of separated finite-type schemes over rings of $S$ -int…

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