Félicien Comtat
felicien (dot) nj (dot) comtat (at) helsinki (dot) fi
Research
Starting on the 15th September, I am a postdoc in Helsinki University with Jori Merikoski. Previously I was a postdoc in Bonn University, working with Valentin Blomer. Before that, I completed my PhD thesis and a short postdoc at Queen Mary University of London under the supervision of Abhishek Saha. I am interested in number theory, and I am currently working on various analytic aspects of automorphic forms. Here is my CV.
Scientific works
Published versions might differ substantially from arxiv versions.
Preprints
- An effective version of the Kuznetsov trace formula for GSp(4), (with Didier Lesesvre and Siu Hang Man), preprint.
- A weighted vertical Sato-Tate law for Maaß forms on GSp4, preprint.
Publications
- Moments of symmetric square L-functions on GL(3), (with Valentin Blomer), Proc. Lond. Math. Soc. (2025).
- Bounds on Fourier coefficients and global sup-norms for Siegel cusp forms of degree 2, (with Abhishek Saha and Jolanta Marzec-Ballesteros), J. Lond. Math. Soc. (2025).
- Optimal sup norm bounds for newforms on GL2 with maximally ramified central character, Forum Math. (2020).
- A uniform estimate for the density of rational points on quadrics, J. Théor. Nombres Bordeaux (2019).
Other
- Whittaker coefficients of automorphic forms and applications to analytic Number Theory, my PhD thesis.
- A relative trace formula approach to the Kuznetsov formula on GSp4, now a chapter of the latter.
Teaching
At Bonn:
- Analysis on real Lie groups (summer semester 2025).
I have been a teaching assistant at QMUL for the following courses.
- Introduction to Probabilities (Lecturer: Dr Rosemary Harris) (online tutorial due to covid-19 pandemic).
- Introduction to Differential Geometry (Lecturer: Dr Arick Shao).
- Introduction to Algebra (Lecturer: Dr Alex Fink).
- Calculus I (Lecturer: Dr Oscar Bandtlow).
I have also been a demonstrator at QMUL for Complex variables (Lecturer: Dr Mira Shamis), and a tutor at King's College London for Introduction to Number Theory (Lecturer: Dr Steve Lester).
Administration and services
I am a Royal Institution speaker, and an AMS reviewer.