Justin Trias (CV)

Senior Research Associate
School of Mathematics
University of East Anglia

I am currently a postdoc at University of East Anglia (UEA), where I was already from November 2019 to September 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 September 2021 to December 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 October 2019.

Research Interests

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

Publications & Preprints

• Local theta correspondences of supercuspidal representations, with Hung Yean Loke, Jia-Jun Ma and Shaun Stevens, in preparation.
• ℓ-modular theta correspondence II: dual pairs of type I and banal correspondence for commutative dual pairs, in preparation.
• The universal Harish-Chandra character, with Gil Moss, in preparation.
• Towards a theta correspondence in families for type II dual pairs, with Gil Moss, 2023, PDF.
• Whittaker functional and contragredient in characteristic not p, with Nadir Matringe, 2022, to appear in MRL, PDF
• Universal Weil Module, 2021, Pacific Journal of Mathematics, Vol. 323 (2023), No. 2, 359-399 PDF
• Correspondance thêta locale ℓ-modulaire I : groupe métaplectique, représentation de Weil et Θ-lift, 2020, PDF

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)