Counting number fields of fixed degree by their smallest defining polynomial
S. Arango-Piñeros, F. Gundlach, R.J. Lemke Oliver, K.J. McGown, W. Sawin, A. Serrano López, A. Shankar, I. Varma, ArXiv:2602.06943 (2026).

Asymptotics of extensions of simple a-algebras
F. Gundlach, B.F. Seguin, Algebra &; Number Theory 20 (2026) 383–418.

On matrices commuting with their Frobenius
F. Gundlach, B.F. Seguin, Journal of Algebra (2026).

Lifts of unramified twists and local-global principles
F. Gundlach, B.F. Seguin, ArXiv:2603.15544 (2026).

Sampling cubic rings
F. Gundlach, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2026.

Counting abelian extensions by Artin–Schreier conductor
F. Gundlach, Proceedings of the American Mathematical Society (2025).

The structure of the double discriminant
T.C. Anderson, U.V. Asarhasa, A. Bertelli, F. Gundlach, E.M. O’Dorney, ArXiv:2507.16138 (2025).

Counting two-step nilpotent wildly ramified extensions of function  fields
F. Gundlach, B.F. Seguin, ArXiv:2502.18207 (2025).

Symmetries of power-free integers in number fields and their shift  spaces
F. Gundlach, J. Klüners, ArXiv:2407.08438 (2024).

Malle's conjecture with multiple invariants
F. Gundlach, ArXiv:2211.16698 (2022).

Polynomials vanishing at lattice points in a convex set
F. Gundlach, ArXiv:2107.05353 (2021).

Parametrizing extensions with fixed Galois group
F. Gundlach, Parametrizing Extensions with Fixed Galois Group, 2019.

Del Pezzo Surface Fibrations of Degree 4
F. Gundlach, Del Pezzo Surface Fibrations of Degree 4, 2014.

Integral Brauer-Manin obstructions for sums of two squares and a power
F. Gundlach, Journal of the London Mathematical Society 88 (2013) 599–618.

Brauer-Manin obstructions for sums of two squares and a power
F. Gundlach, Brauer-Manin Obstructions for Sums of Two Squares and a Power, 2012.