Publications and Notes
As a researcher, my work falls into a few different areas:
My algebraic topology work focuses on (topological) (co)Hochschild homology computations and connections to algebraic K-theory.
My math education work focuses on connecting student learning to other disciplines, supporting underrepresented groups in STEM, and student understanding of proof.
Published and Submitted Papers
- Setting up students for success: Analysis of effectiveness of mathematics placement
Joint with J. Carvell, J. Ho, and D. Klanderman
Submitted, 2024
- Insight and Illumination in Mathematical Learning: Exemplars of Transitions to Understanding in the Classroom from Elementary to Graduate School
Joint with D. Klanderman and J. Turner
Submitted, 2024
Joint with J. Carvell and S. Turgman
Published in ASEE Annual Conference & Exposition, 2024
Joint with S. Klanderman, M. Montee, A. Piotrowski, A. Rice, and B. Shader
Published in Linear Algebra and Its Applications, 2024 (arXiv)
- Catalan Number Sequences and Generalized Action Graphs
Joint with D. Caldwell*, A. Cochran*, N. Glisson*, B. Jennings*, K. McDicken*, L. Proctor*, and A. Tebbe
Published in the Mathematics Exchange Volume 18, 2025
Joint with M. Péroux
Submitted, 2023 (arXiv)
Joint with J. Ho
Published on The Conversation
Joint with A. Harsy, M. Meyer, M. Smith, B. Stephenson, and C. Sulyok
Published in Proceedings of the 23rd Biennial Meeting of the Association of Christians in the Mathematical Sciences Volume 23, 2023
Joint with J. Ho, D. Klanderman, and J. Turner
Published in Proceedings of the 23rd Biennial Meeting of the Association of Christians in the Mathematical Sciences Volume 23, 2023
Published in Journal of Homotopy and Related Structures, 2022 (arXiv)
Joint with R. Satyam
Published in International Journal of Mathematical Education in Science and Technology, 2022
Joint with A. Hedenlund, A. Lindenstrauss, B. Richter, and F. Zou
Published in Topology and its Applications, 2022 (arXiv)
Joint with R. Menon
Published in Teaching Gradually: Practical Pedagogy for Graduate Students, by Graduate Students by Stylus Publishing, 2021
Joint with D. Klanderman, B. Gliesmann, J. Wilkerson, and P. Eggleton
Published in Proceedings of the 22nd Biennial Meeting of the Association of Christians in the Mathematical Sciences Volume 22, 2020
Joint with A. Schut, D. Klanderman, and W. Boerman-Cornell
Published in Proceedings of the 21st Biennial Meeting of the Association of Christians in the Mathematical Sciences Volume 21, 2018
* denotes an undergraduate student author
If you are interested in notes from a talk that I gave, feel free to contact me and I can send them to you.