I am a Visiting Assistant Professor at the University of Rochester, mentored by Doug Ravenel. Before that, I was a postdoc at University of Bonn and Stockholm University, mentored by Markus Hausmann. I received my PhD from the University of Illinois at Urbana-Champaign, advised by Vesna Stojanoska. A copy of my CV is available here

Research

My research interests are in algebraic topology, especially computations in stable homotopy theory.

Publications and Preprints

• A Guide to Equivariant Parametrized Cohomology with Agnès Beaudry, Chloe Lewis, Clover May, and Sabrina Pauli. Topology and its Applications: Vol. 376, December 2025, 109449.

• A Thom Spectrum Model for \(C_{2}\)-Equivariant Brown-Gitler Spectra with Guchuan Li and Sarah Petersen. Proceedings of the American Mathematical Society: Vol. 153, No. 12, Dec 2025, p. 5421–5435.

• Splittings of Truncated Motivic Brown-Peterson Cooperations Algebras with Jackson Morris and Sarah Petersen. Under consideration for Journal of Topology, two strongly positive referee reports

• Motivic \(K\)-Theory Cooperations Over the Rationals with Jackson Morris and Sarah Petersen. In progress, preprint available upon request.

• Parametrized \(F_{2}\)-Cohomology of \(B_{C_{2}}O(1)\) with Agnès Beaudry, Chloe Lewis, Clover May, and Sabrina Pauli. Submitted, September 2026.

• A Spectrum-level Splitting of the \(ku_\mathbb{R}\)-Cooperations Algebra with Guchuan Li and Sarah Petersen. Submitted, April 2025.

• On a Spectrum-level Splitting of the \(BP\langle 2 \rangle\)-Cooperations Algebra. (There is a gap in the proof of the main theorem here.)

Research with Undergraduates

• Fixed points in the dual Steenrod Algebra. The Steenrod algebra is an algebraic object with many interesting connections to topology. The Steenrod algebra comes with a great deal of intricate structure: it has its own versions of addition and multiplication, as well as more novel operations. In particular, the Steenrod algebra comes equipped with an automorphism called the conjugate, that is, a special function from the Steenrod algebra to itself. A more familiar example of an algebraic object with a simpler conjugate is the complex numbers: the complex numbers come equipped with addition and multiplication, as well as the complex conjugate. The fixed points of the complex conjugate are the real numbers, because the complex conjugate of any real number is itself. Since the Steenrod algebra has a more complicated structure than the complex numbers, the fixed points of its conjugate are not known. The goal of this project is to investigate and identify the fixed points in small portions of the Steenrod algebra. This project began as part of the two-week StemForAll program, and we are continuing to work on it this fall. This is work in progress with Ishika Jahaly, Akshay Sant, Logan Singh, and Showmee Zou. A preliminary presentation is available here.

Teaching

Teaching at University of Rochester

At the University of Rochester, I have been the instructor of record for the following courses. I am also the course coordinator for Calculus II this fall.

Fall 2026

• Abstract Algebra (Math 236)
• Calculus II (Math 142)

Spring 2026

• Introduction to Financial Mathematics (Math 210)
• Calculus II (Math 142)

Fall 2025

• Precalculus (Math 140)
• Calculus II (Math 142)

Teaching at University of Bonn

Spring 2025

• Bachelor/Masters Seminar on Characteristic Classes, Instructor of Record

Fall 2024

• Masters Seminar on the Adams Spectral Sequence, Instructor of Record
• Bachelor Seminar on Topological K-Theory, Instructor of Record

Spring 2024

• Algebraic Topology II (Stable Homotopy Theory), Lecturer
• Masters Seminar on Equivariant Homotopy Theory, Teaching Assistant

Fall 2023

• Algebraic Topology I, Teaching Assistant
• Bachelor/Masters Seminar on Group Cohomology, Teaching Assistant

Teaching at Stockholm University

Spring 2023

• Mathematical Methods for Economists, Teaching Assistant

Teaching at University of Urbana-Champaign

At UIUC, I was a teaching assistant for the following courses.

• Calculus I (Math 220)
• Calculus for Business (Math 234)
• Calculus III (Math 241)
• Applied Linear Algebra (Math 415)