Aron Alexandre Heleodoro

个人简介

My research is guided by two kinds of infinities. The first is structural in the theories of higher categories and derived algebraic geometry (where one remembers infinitely many relations). The other is spatial, in the theories of infinite-dimensional algebraic geometry and linear algebra, in its many variations. Here the infinitely many dimensions keep track of important representation theoretic data.

My most recent projects are related to using this infinite-dimensional geometry to define a long sought-after theory of character sheaves on loop groups and study aspects of representation of p-adic groups. I am also interested in other areas of geometric representation theory such as 3d symplectic duality, geometric and categorical Langlands programs, and in foundational questions in derived algebraic geometry and higher categories.

I joined SIMIS as an associate professor in July 2025. Before that I obtained my PhD at Northwestern University, and held postdoctoral positions at the University of Hong Kong, the Chinese University of Hong Kong, and the University of Illinois at Urbana—Champaign.

教育经历

• 2018 Northwestern University — Mathematics, PhD
• 2011 École Normale Supérieure — Quantum Physics, MSc
• 2010 École Polytechnique — Engineering and Physics, BSc
• 2010 Universidade de São Paulo — Physics, BSc

工作经历

• 2023 – 2025 The University of Hong Kong — Postdoctoral Fellow
• 2021 – 2023 The Chinese University of Hong Kong — Postdoctoral Fellow
• 2018 – 2021 University of Illinois at Urbana—Champaign — J.L. Doob Research Assistant Professor

论著

1. Newton Decomposition on the Quotient Stacks of Loop Groups, joint with X. He and X. Zhu, preliminary version.
2. A Remark on Lurie’s Representability Theorem.
3. Prestacks of Tate type.
4. Determinant map for the prestack of Tate objects, Selecta Mathematica New Series, 26, 76 (2020), doi: https://doi.org/10.1007/s00029-020-00604-3.
5. On the normally ordered tensor product and duality for Tate objects, joint with O. Braunling, M. Groechenig and J. Wolfson, Theory and Applications of Categories 33 (2018), Paper No. 13, 296-349. MR3795418.