Preprint on Ideal Lattices, Class Groups and Parameter Security for Ring-LWE
We critically examine standard power-of-two RLWE parameter choices and propose prime cyclotomic fields as alternative parameter rings.
Seminar Talk on Ring-LWE, Ideal Lattices and Class Numbers
We study the growth of class numbers and discuss different parameter choices for Ring Learning with Errors (RWLE) that can influence …
Preprint on multiplicative non-Hecke twists of motivic L-functions and Euler products
We study the twisting of motivic L-functions by a family of multiplicative characters. The resulting twisted L-function has …
Erhebliche Mathematikdefizite bei Studienanfängern
Eingangstest zeigt schwache Mathematik Kenntnisse vieler Studienanfänger der MINT Fächer. Der Test ist jetzt online verfügbar.
Preprint on special values of p-adic L-functions and Iwasawa λ-invariants of Dirichlet characters
We study the Iwasawa λ-invariant of Dirichlet characters χ for odd primes p and derive easily computable novel criteria to distinguish …
Paper on Iwasawa lambda-invariants for abelian number fields
In a joint paper with Daniel Delbourgo, we study we study the Iwasawa lambda-invariants of Dirichlet characters of any order and …
Top 10 position for TH Köln Team
The TH Köln team from the Institute of Communications Engineering made it into the Top 10 of the international Telekom Challenge …
Paper on Dirichlet Series Expansions of p-adic L-Functions
In a joint paper with Lawrence C. Washington, we derive a Dirichlet series expansion of p-adic L-functions. The paper is published in …
Sicherheit und Fairness von Online-Prüfungen
Online-Prüfungen sind die Achillesferse des Lehrbetriebs unter Pandemiebedingungen.
Preprint on Measures and p-adic L-Functions
We define an alternating measure on the p-adic integers and derive a Dirichlet expansion of p-adic L-functions.
