Justin Trias (CV)

Postdoctoral researcher on the project RELANTRA
Institut de Mathématiques de Marseille
Aix-Marseille Université

I am currently a postdoc at Université Aix-Marseille working on the ERC project RELANTRA led by Raphaël Beuzart-Plessis.

Before that, I was a postdoc at the University of East Anglia (UEA), where I was already from 2019 to 2021, working with Shaun Stevens on the research grant project Local theta correspondence: a new study through the theories of types and l-modular representations. From 2021 to 2023, I was a postdoc at Imperial College London hosted by David Helm.

My thesis work "Correspondance thêta locale ℓ-modulaire" started in 2015 under the supervision of Alberto Mínguez at Sorbonne Université. I defended it in 2019.

Research Interests

• Number theory
• Modular representation theory
• Theta correspondence
• Langlands correspondence

Preprints & Publications

Publications

1. The universal Harish-Chandra j-function, with Gil Moss, 2025, PDF.
   International Mathematics Research Notices, to appear (2026).
2. On the rationality of the Weil Representation and the local theta correspondence, 2026, PDF.
   Canadian Journal of Mathematics, to appear (2026).
3. Whittaker functional and contragredient in characteristic not p, with Nadir Matringe, 2022, PDF.
   Mathematical Research Letters, Vol. 31 (2024), No. 4, 1153-1168.
4. Universal Weil Module, 2021, PDF.
   Pacific Journal of Mathematics, Vol. 323 (2023), No. 2, 359-399.

Preprints

5. Modular Weil representation and compatibility of cuspidals with congruences, 2026, PDF.
6. The MVW involution of the metaplectic group, with Shuichiro Takeda, 2025, PDF.
7. The ℓ-modular local theta correspondence, 2025, PDF.
8. Towards a theta correspondence in families for type II dual pairs, with Gil Moss, 2023, PDF.

Other writings

• Correspondance thêta locale ℓ-modulaire I : groupe métaplectique, représentation de Weil et Θ-lift, 2020, PDF, 81 p. in French.
  Now replaced by the paper Modular Weil representation above.

Theta Summer School

See webpage

24 Hours of Theta

See webpage

Contact

You can email me by substituting the right symbol into the following address:

j.trias(at)uea.ac.uk

You can send me mail at the following address:

School of Mathematics
University of East Anglia
Norwich Research Park
NR4 7TJ Norwich (UK)