Pierre L. L. Morain
Welcome to my webpage, please come in and warm yourself by the fire.
Current position
I am currently an ATER (temporary position involving research and teaching) at Sorbonne Université, IMJ-PRG.
I have recently defended my PhD thesis at Sorbonne Université under the supervision of Pierre Charollois (IMJ-PRG) and Antonin Guilloux (IMJ-PRG, INRIA). The subject of my thesis is:
Higher elliptic Gamma functions, cohomology of linear groups and higher elliptic units.
The defense took place on June 22nd 2026. Here is a a link to the latest version of my thesis (updated on 29/06/2026).
I am currently on the job market for the academic year 2027-2028.
Research Interests
- Number Theory
- Explicit Class field theory
- Hilbert's 12th problem
- Modular forms
- Elliptic functions, elliptic Gamma functions
- Elliptic units
- Stark's conjectures
- Algorithmic number theory
- Shintani cones and generalisations
- Cohomology of linear groups
- Special linear groups SLn(Z) for n > 2
Publications / Preprints
A representative selection:
- Higher elliptic Gamma functions, cohomology of linear groups and higher elliptic units - PhD thesis available at this link. Supervisors: Pierre Charollois (IMJ-PRG) and Antonin Guilloux (IMJ-PRG, INRIA).
- Geometric families of multiple elliptic Gamma functions and arithmetic applications, I - 2025 (Submitted for publication), available at this link.
- Geometric families of multiple elliptic Gamma functions and arithmetic applications, II - 2026 (Accepted for publication in the Annales Mathématiques du Québec, special volume in honour of Henri Darmon). Preprint version available at this link.
- Geometric families of multiple elliptic Gamma functions and arithmetic applications, III - 2026, available at this link.
More Publications / Preprints.
Talks
Highlighted talks:
- Elliptic units above number fields with exactly one complex place - June 2024, ICMS, Edinburgh. Video Link.
- Hilbert's 12th problem for number fields with exactly one complex place - July 2025, 33èmes Journées Arithmétiques, Luxembourg.
- Stark units above number fields with exactly one complex place - November 2025, Stark-SIC online seminar. Video link.
More Talks.
Teaching activities
Teaching activities for the acamedic year 2026-2027:
- Effective linear algebra (M1): teaching assistant. First semester.
- Short introduction to python (M2-Agrégation): teaching assistant (replacement). First semester.
- Algebra II (L2): teaching assistant. Second semester.
More Teaching activities.
Contact information
- E-mail: pierre.morain@imj-prg.fr
- Address: Institut de Mathématiques de Jussieu - Paris Rive Gauche, 4 place Jussieu, 75005 Paris, France
- CV / Resume: Here is a version of my CV, last updated in October 2026.
Conferences and workshops I plan to attend (year 2026-2027).
- Conference of the Number Theory network RT2N, September 7th-11th 2026, CIRM, Luminy, France.
- 25th Atelier Pari/GP, January 11th-15th 2027, Laboratoire de mathématiques Blaise Pascal, Clermont-Ferrand, France.
- [To be confirmed] Explicit Class Field Theory, March 14th-19th 2027, Mathematisches Forschungsinstitut Oberwolfach, Germany.
- Quantum Designs, Stark Units and Hilbert's 12th Problem, May 31st - June 18th 2027, Bernoulli Center, Lausanne, Switzerland.
Miscellaneous
- Current favorite prime number: 145637.