Preprints
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).
Lifts of unramified twists and local-global principles
F. Gundlach, B.F. Seguin, ArXiv:2603.15544 (2026).
Counting two-step nilpotent wildly ramified extensions of function fields
F. Gundlach, B.F. Seguin, ArXiv:2502.18207 (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).
Symmetries of power-free integers in number fields and their shift spaces
F. Gundlach, J. Klüners, ArXiv:2407.08438 (2024).
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Papers
Asymptotics of extensions of simple ℚ-algebras
F. Gundlach, B.F. Seguin, Algebra & Number Theory 20 (2026) 383–418.
Counting abelian extensions by Artin–Schreier conductor
F. Gundlach, Proceedings of the American Mathematical Society (2025).
Integral Brauer-Manin obstructions for sums of two squares and a power
F. Gundlach, Journal of the London Mathematical Society 88 (2013) 599–618.
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Final theses
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.
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.
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