Aron Heleodoro


Contact info:
Department of Mathematics
University of Illinois at Urbana-Champaign
Altgeld Hall, 1409 W. Green Street
Urbana, IL 61801
Email address:
aronah at illinois dot edu
or
aronah at gmail dot com

About me

I am a J.L. Doob Research Assistant Professor at the Department of Mathematics at UIUC. My office is in Altgeld 165.

I got my PhD at Northwestern University, and my advisor was Nick Rozenblyum.

Research

My research interests are in algebraic geometry, K-theory and representation theory. In particular, I am interested in the application of Tate objects, homotopical methods and derived algebraic geometry to solve problems in these areas.

Papers

  1. Prestacks of Tate type.
  2. 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.
  3. 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.
  4. Representability of the derived Quot scheme, not submitted.

Organization

During the academic year of 2019-2020 I organized the UIUC Algebraic Geometry seminar.

Teaching

Fall 2020

Math 241H Calculus 3 Honors - all material is accessible on Moodle.

Spring 2020

This semester I mentored two IGL projects:
  • Cyclic Vectors for certain D-modules,
  • Higher-Shuffles Operads 2.

    Fall 2019

    Math 347 Fundamental Mathematics - Sections X1 and F1, we will use a combined wiki page for this class.

    Spring 2019

    Math 347 Fundamental Mathematics - Sections D2 and X1, we will use a combined wiki page for this class.
    I also mentored an IGL project:
  • Higher-Shuffles Operads

    Fall 2018

    Math 347 Fundamental Mathematics.