Some Questions
Most recently I’ve been thinking about the following problems In no particular order (okay, maybe they aren’t all so different):
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- Under what conditions can we guarantee a form of the disjunction theorem for G-manifolds? [Edit: this now has a partial answer 🙂 ]
- Does the equivariant algebraic K-theory of a smooth manifold split into stable homotopy and the smooth whitehead spectrum? [Edit: this is (hopefully) appearing in forthcoming work.]
- What is the equivariant involution on the concordance space?
- Is there a form of equivariant block diffeomorphisms that maps to equivariant algebraic K-theory?
In Preparation
An Equivariant Embedding Calculus
Spherical Group Ring Models for Equivariant A-theory
Joint withMaxine Calle , David Chan, and Anish Chedalavada
Previous Research Articles
A Genuine Linearization Map for Equivariant Algebraic K-Theory
Joint with Maxine Calle and David Chan
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