Research

 

Some Questions

Most recently I’ve been thinking about the following problems In no particular order (okay, maybe they aren’t all so different):

    1. Under what conditions can we guarantee a form of the disjunction theorem for G-manifolds?
    2. Does the equivariant algebraic K-theory of a smooth manifold split into stable homotopy and the smooth whitehead spectrum?
    3. What is the equivariant involution on the concordance space?
    4. Is there a form of equivariant block diffeomorphisms that maps to equivariant algebraic K-theory?


In Preparation

A Genuine Linearization Map for Equivariant Algebraic K-Theory

Joint with Maxine Calle and David Chan

Spherical Group Ring Models for Equivariant A-theory

Joint with Maxine Calle, David Chan, and Anish Chedalavada

Previous Research Articles

 

The Generalized Makeev Problem Revisited, 2023

Joint with Steven Simon and Jialin Zhang

Admissibility and the C_2 Spider, 2018

Joint with Wade Bloomquist

Classically Integral Quadratic Forms Excepting at Most Two Values, 2018

Joint With Madeleine Barowsky, William Damron, Frederick Saia, Nolan Schock, and Katherine Thompson