activity
20082026
most citedOn a generalization of the support problem of Erdos and its analogues for abelian varieties and K-theory

3 citations · 3 across the 9 of their papers we have counts for

collaborators

9 papers

math.AG2026

Iterated Cartier Flux and Non-Finite Generation of Tame Polynomial Automorphism Groups over Finite Fields

Stefan Barańczuk, Tomasz Ślusarski

Let be a finite field of characteristic , and let \[ U_n(k)=\{F\in\operatorname{TA}_n(k):F(0)=0,\ JF(0)=I_n\}. \] We prove that every special tame polynomial aut…

math.NT2026

Polynomial representatives of finite-field maps: a sharp dimensional dichotomy

Stefan Barańczuk, Tomasz Ślusarski

Let . A polynomial representative of a finite-set map is a tuple of polynomials inducing that map on the rational-point grid. We prove a sharp distinction between a…

math.AG2026

Prescribed extension spectra of mock automorphisms over finite fields

Stefan Barańczuk, Tomasz Ślusarski

We classify the finite-extension permutation spectra occurring in an explicit family of mock automorphisms over finite fields. Every finite nonempty divisor-closed subset of $\N_{>…

math.NT2023

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

Stefan Barańczuk, Bartosz Naskręcki, Matteo Verzobio

Let be an abelian variety defined over a number field , be an elliptic curve, and be an isogeny defined over . Let be such that $ϕ(P)=(Q_1,…

math.NT2019

Zsigmondy's Theorem for Chebyshev polynomials

Stefan Barańczuk

For an integer consider the sequence defined by the Chebyshev polynomials . We list all pairs for which the term has n…

math.AG2019

Reducing the number of equations defining a subset of the -space over a finite field

Stefan Barańczuk

Let be polynomials defining an algebraic set in affine -space over a finite field. Suppose . We prove that there exists a system of polynomials $g_{1…