I am interested in lots of things, but my research is in homotopy theory in general and algebraic K-theory in particular. Recently, I've been thinking about trace methods and topological Hochschild homology. My advisor is Inna Zakharevich.
Papers
- Newman's conjecture in function fields. Journal of Number Theory 157, 2015. [arXiv] [Published Version]
- Constructing families of moderate-rank elliptic curves over number fields. Minnesota Journal of Undergraduate Mathematics 2, 2017. [arXiv] [Published Version]
- Walk-modularity and community structure in networks. Network Science 3, 2015. [arXiv] [Published Version]
Talks
- Topological Hochschild Homology of \(\mathbb Z\) and \(\mathcal O_K\) as Thom Spectra. Arizona Winter School, University of Arizona, March 2019. Project group presentation. [Slides]
- Why is Algebraic K-theory Hard? NYRGMC, Syracuse University, March 2018.
- Stable Homotopy Theory and Algebra over Spheres. BUGCAT, Binghamton University, October 2017. [Notes]
- An Eckmann-Hilton Argument for 2-categories. Young Topologists' Meeting, KTH Royal Institute of Technology, Stockholm, Sweden, July 2017.
- Newman's Conjecture for function field L-functions. Conférence de Théorie des Nombres Québec-Maine, September 2014 and Joint Mathematics Meetings, January 2015. [Slides]
- A Family of rank six elliptic curves over number fields. Young Mathematician's Conference, August 2014 and Joint Mathematics Meetings, January 2015. [Slides]
- Community detection in graphs based on a generalization of modularity. Joint Mathematics Meetings, January 2014, and Young Mathematician's Conference, August 2013. [Slides]