I am a postdoctoral researcher at Michigan State University. My research focuses on interactions between algebraic K-theory and chromatic stable homotopy theory. As a postdoc, I am also happy to have the opportunity to teach courses and I am intersted in undergraduate research. I also enjoy organizing and participating in informal seminars.

Previously, I was a Ph.D. student working under the direction of Andrew Salch at Wayne State University. Outside of math, I enjoy hiking, biking, playing guitar and piano, and playing boardgames. I studied abroad in Quito, Ecuador as an undergraduate and I am often nostalgic and looking for opportunities to practice Spanish.

My work focuses on how algebraic K-theory interacts with periodicity in the homotopy groups of spheres. Specifically, I do computations of approximations to algebraic K-theory of structured ring spectra and analyze how chromatic complexity behaves in this context. I also work on developing tools for doing trace methods computations.

We solve the homotopy limit problem for topological Hochschild homology of Ravenel's spectra X(n) and T(n) with respect to all cyclic p-groups. Joint with J.D. Quigley.

In this paper, I compute mod (p,v_1) topological Hochschild homology of the connective cover of the K(1)-local sphere spectrum using the THH-May spectral sequence.

We constrtuct the THH-May spectral sequence for higher topological Hochschild homology and use it to give a bound on topological Hochshcild homology of connective ring spectra. Joint with Andrew Salch

This paper provides user friendly conditions for checking when a map of simplicial spectra induces a cofibration on geometric realizations. Joint with Andrew Salch

We compute the homotopy groups of the K(1)-local mod p Moore spectrum at odd primes in order to illustrate a method that could be used to compute K(n) local homotopy of more general type n complexes.

We provide partial results about the Auslander-Reiten quiver associated to the category of unstable E(1)-modules where E(1) is the sub-Hopf algebra of the Steenrod algebra generated by the first two Milnor primitives.

We describe how to compute algebrqaic K-theory of finite fields mod l using the "motivic to algebraic K-theory" spectral sequence. This project was my master's thesis under the direction of Andrew Salch.

Talbot Workshop on Obstruction Theory, May 2017 (Notes compiled by Eva Belmont and Sanath Devalapurkar)

West Coast Algebraic Topology Summer School 2016, University of Oregon (joint with Eva Belmont)

Topology Seminar, Michigan State University, November 2016

K-theory Seminar, Ohio State University, February 2016

European Talbot Workshop 2015, Klosters, Switzerland

MSRI Summer School: Algebraic Topology, Guanajuato, Mexico

Kalamazoo College Undergraduate Seminar, Kalamazoo, Michigan

This semester I am teaching two sections of Calculus I with a focus on applications to business and economics.

As a graduate student and postdoc I have been fortunate to attend conferences on many topics. If are interested in attending conferences in algebraic topology or algebraic K-theory as well, here are some links I have found useful for finding such conferences.

Niles Johnson maintains webpage which contains a useful conference list at MathMeetings

Bob Bruner maintains the Midwest Topology Seminar website.

Each year a small group of graduate students and postdocs is selected to participate in the Talbot workshop and it is held in a different remote location.

Almost every year there is a West Coast Algebraic Topology Summer School. I attended the chromatic homotopy theory and number theory WCATSS.