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 interested in undergraduate research. I also enjoy organizing and participating in seminars. For more information about me see my CV.

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 appreciate 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.

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.

AMS Sectional, Ohio State University, March 2018

Topology Seminar, University of Kentucky, November 2017

Midwest Topology Seminar, Wayne State University, November 2017

Topology Seminar, University of Chicago, February 2017

Topology Seminar, Notre Dame, December 2016

Geometry and Topology Seminar, Michigan State University, November 2016

Topology Seminar, Indiana University, November 2016

Topology Seminar, University of illinois Urbana Champaign, November 2016

K-theory Seminar, Ohio State University, February 2016

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)

European Talbot Workshop 2015, Klosters, Switzerland

MSRI Summer School: Algebraic Topology, Guanajuato, Mexico

Math Club, University of Kentucky, November 2017

Undergraduate Seminar, Kalamazoo College, February 2014

Course Website: MTH 310 Section 001

**MTH 124: Business Calculus Section 001 ** Fall 2017 at Michigan State University

**MTH 124: Business Calculus Section 013 ** Fall 2017 at Michigan State University

**MAT 1050: Intermediate Algebra with Trigonometry** Fall 2015 at Wayne State University

**MAT 1050: Intermediate Algebra with Trigonometry** Winter 2015 at Wayne State University

**MAT 1050: Intermediate Algebra with Trigonometry** Winter 2014 at Wayne State University

**MAT 1800: Pre-Calculus** Fall 2013 at Wayne State University

**STAT 1020: Elementary Statistics** Summer 2013 at Wayne State University

**MAT 1000: Math in Today's World** Summer 2013 at Wayne State University

**MAT 1800: Pre-Calculus** Winter 2013 at Wayne State University

**MAT 1800: Pre-Calculus** Fall 2012 at Wayne State University

**MAT 1000: Math in Today's World** Summer 2012 at Wayne State University

Here are some links I have found useful for attending conferences in algebraic topology or algebraic K-theory,

Niles Johnson maintains a useful conference list at MathMeetings

Bob Bruner maintains the Midwest Topology Seminar website.

Listing of algebraic K-theory seminars maintained by UIUC: K-theory Calander