Department of Mathematics
Webrelaunch 2020
Department of Mathematics
Home Page
Institutes
Institute of Algebra and Geometry
Research Group Number Theory and Algebraic Geometry
PD Dr. Fabian Januszewski
Photo of Fabian Januszewski

PD Dr. Fabian Januszewski

  • Institut für Algebra und Geometrie
    Englerstraße 2
    76128 Karlsruhe
    Germany

"Die Mathematiker sind eine Art Franzosen: redet man zu ihnen, so übersetzen sie es in ihre Sprache, und dann ist es alsobald ganz etwas anderes." (J.W.v. Goethe)

"... la mathématique est l’art de donner le même nom à des choses différentes." (H. Poincaré)

Since October 2019 I am in Paderborn. Therefore, my email address has changed.

Current List of Courses
Semester Titel Typ
Summer Semester 2019 Algebraische Geometrie Lecture
Seminar p-adic Analysis and Dwork's Theorem Seminar
Seminar (Master) Seminar
Winter Semester 2018/19 Advanced Mathematics III (Lecture) Lecture
Seminar on Topological Groups Seminar
AG Zahlentheorie/Algebraische Geometrie Seminar
Summer Semester 2018 Commutative Algebra Lecture
Seminar (Quadratische Formen) Seminar
Summer Semester 2017 Endliche Gruppenschemata Lecture
Winter Semester 2016/17 Representation Theory of Finite Groups Lecture
Summer Semester 2016 Die Riemannsche Zeta-Funktion Lecture
Winter Semester 2015/16 Integer Factorization Lecture
Summer Semester 2015 Representation Theory of Finite Groups Lecture
Modulformen Lecture
Winter Semester 2014/15 Sheaf Cohomology in Analysis and Topology Lecture
Quadratic Forms Seminar
Winter Semester 2013/14 p-adic modular forms Lecture
Summer Semester 2013 Homotopy theory of simplicial sets Lecture
Seminar (Algebra) ab dem 6. Semester Seminar
Winter Semester 2012/13 Artinsche L-Funktionen Lecture
cryptography Proseminar
Summer Semester 2012 Seminar (Zahlentheorie) ab dem 7. Semester Seminar

Research

I am interested in Shimura varieties, automorphic representations, special values of L-functions, Iwasawa theory, and representation theory.

Here are slides from a lecture series on p-adic L-functions for GL(n+1) x GL(n). And here are videos of the lectures.

Publications and Preprints

F. Januszewski, "Families of D-modules", arXiv, 31 pages, submitted.

M. Dimitrov, F. Januszewski and A. Raghuram, "L-functions of GL(2n): p-adic properties and nonvanishing of twists", arXiv, to appear in Compositio Mathematica, 41 pages.

F. Januszewski, "Non-abelian p-adic Rankin-Selberg L-functions and non-vanishing of central L-values", arXiv, 66 pages, submitted.

F. Januszewski, "On Period Relations for Automorphic L-functions II", arXiv, 65 pages, submitted.

F. Januszewski, "On Period Relations for Automorphic L-functions I", Transactions of the American Mathematical Society, 371 (2019), 6547-6580.

F. Januszewski, "Algebraic Characters of Harish-Chandra modules and Arithmeticity", arXiv, 65 pages.

F. Januszewski, "Rational Structures on Automorphic Representations", Mathematische Annalen 370 (2018), 1805-1881.

F. Januszewski, "p-adic L-functions for Rankin-Selberg convolutions over number fields", Annales mathématiques du Québec (2016) 40, special issue in honor of Glenn Steven's 60th Birthday, 453-489.

F. Januszewski, "On Deligne's Conjecture on Special Values of L-functions", Habilitationsschrift, 2015.

F. Januszewski, "On p-adic L-functions for GL(n)xGL(n-1) over totally real fields", International Mathematics Research Notices, Vol. 2015, No. 17, 7884-7949.

F. Januszewski, "Algebraic characters of Harish-Chandra modules", Journal of Lie Theory 24 (2014), No. 4, 1161-1206.

F. Januszewski, "Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields", Journal für die reine und angewandte Mathematik 653 (2011), 1-45.

F. Januszewski, "p-adische Rankin-Selberg-Faltungen", Dissertation, Universität Karlsruhe (TH), 2009.

W. Geiselmann, F. Januszewski, H. Köpfer, J. Pelzl, and R. Steinwandt
"A Simpler Sieving Device: Combining ECM and TWIRL"
9th International Conference on Information Security and Cryptology - ICISC 2006,
Lecture Notes in Computer Science 4296, Springer, 2006.