Dr. Edgar Assing

assing@math.uni-bonn.de

I am currently interested in analytic problems related to automorphic forms, automorphic representations & L-functions. In particular I am exploring how the language of automorphic representations can unravel new features that (for me) remain somehow mystical from the classical point of view.

Upcoming talks and travel

Nothing planned at the moment.

Publications and preprints

On sup-norm bounds part I: ramified Maaß newforms over number fields.
ArXiv preprint (2017).

On sup-norm bounds part II: GL(2) Eisenstein series.
Forum Mathematicum (2019), DOI: 10.1515/forum-2018-0014.
ArXiv preprint (2018).

On the size of p-adic Whittaker functions.
Trans. Amer. Math. Soc. (2018), DOI: 10.1090/tran/7685.
ArXiv preprint (2018).

Adelic Voronoi Summation and Subconvexity for GL(2) L-Functions in the depth Aspect
International Journal of Number Theory (2021), DOI: 10.1142/S1793042121500470.
ArXiv preprint (2018). Original title: Yet another GL₂ subconvexity result.

Voronoi summation via switching cusps (with A. Corbett).
ArXiv preprint (2019).

Uniform Titchmarsh divisor problems (with V. Blomer and Junxian Li).
ArXiv preprint (2020).

Voronoi summation for half-integral weight automorphic forms (with A. Corbett).
ArXiv preprint (2020).

Doctoral Thesis

I did my PhD at the University of Bristol mainly thinking about sup-norms of automorphic forms and related topics. The outcome was the following thesis.

Local Analysis of Whittaker New Vectors and Global Applications [PDF].

Teaching

Teaching duties at the University of Bonn (From 1.10.2019):

WS19/20: Assistent der Vorlesung Lineare Algebra 1 gehalten von Prof. Dr. M. Lesch.
SS20: Selected topics in Algebra - Topics in Automorphic Forms.
SS20: Assistent for the Graduate Seminar on Advanced Number Theory.
WS20/21: Selected topics in Analysis - Topics in Analytic Number Theory.
WS20/21: Assistent der Vorlesung Advanced Algebra 1 - Liealgebren und Darstellungen.
SS21: Graduate Seminar on Advanced Number Theory - Modular Forms and Applications: Preliminary meeting/talk on 9.2.2021 from 12-14. (This seminar is also listed as Hauptseminar Zahlentheorie, so that Bachelor as well as Master students are welcom to participate.) For more details see Basis.

List of Errata

Here is an errata sheet for my published papers. Note that ArXiv versions might differ from published versions in several aspects!