## Lucas Mason-Brown

I am an Assistant Professor of Mathematics at UT Austin. Previously, I was a Titchmarsh research fellow in the Mathematical Institute at the University of Oxford and a Nicholas Kurti Junior Research Fellow at Brasenose College. I completed my PhD at MIT in 2020 under the supervision of David Vogan.

I study the connections between representation theory, symplectic geometry, and the Langlands program. I am particularly interested in using geometric tools to study unitary representations of Lie groups.

Here is a talk I delivered at IHES on Arthur’s Conjectures and the Orbit Method.

CONTACT

Publications:

- A Generalization of Endoscopic Lifting and the Unitarity of Arthur Packets (joint with Jeff Adams and David Vogan, preprint)
- Unipotent Representations of Complex Groups and Extended Sommers Duality (joint with Dmytro Matvieievskyi and Shilin Yu, arXiv)
- The Wavefront Sets of Unipotent Supercuspidal Representations (arXiv, Algebra and Number Theory)
- Restricting Representations from a Complex Group to a Real Form (arXiv, International Mathematics Research Notices)
- Regular Functions on the K-Nilpotent Cone (arXiv, Representation Theory)
- Arthur’s Conjectures and the Orbit Method for Real Reductive Groups (arXiv)
- Wavefront Sets of Unipotent Representations II (joint with Dan Ciubotaru and Emile Okada, arXiv)
- Wavefront Sets of Unipotent Representations I (joint with Dan Ciubotaru and Emile Okada, arXiv)
- Some Unipotent Arthur Packets of Reductive p-adic Groups (joint with Dan Ciubotaru and Emile Okada, arXiv, International Mathematics Research Notices)
- Unipotent ideals and Harish-Chandra bimodules (joint with Ivan Losev and Dmitryo Matvieievskyi, arXiv)
- Unipotent ideals for Spin and Exceptional Groups (joint with Dmitryo Matvieievskyi, arXiv, Journal of Algebra)
- Unipotent Representations Attached to the Principal Nilpotent Orbit (arXiv, Representation Theory)

- Unipotent Representations and Microlocalization (arXiv, Representation Theory)

- Decoding Roger Williams: The Lost Essay of Rhode Island's Founding Father (link to Amazon)