I am an Assistant Professor of mathematics at Andrews University.
Research Interests
Low dimensional topology. Knot theory. Knot and link concordance and connections with 3- and 4-manifolds.
Publications
Education
Rice University, Ph.D. Mathematics, May 2017.
Low dimensional topology. Knot theory. Knot and link concordance and connections with 3- and 4-manifolds.
Publications
- Self and Mixed Delta-Moves on Algebraically Split Links. with Devin Garcia, Justyce Goode, Yamil Kas-Danouche, and Davielle Smith. In preparation.
- Links Obtained by Strong Fusion. with Jonathan Homan and Ben Dronen. In preparation.
- Understanding and Cultivating Mathematical Resilience in Students. with Adam Heck. Journal of Adventist Education. Accepted.
- Delta Unlinking Number for Algebraically Split Links. with Jeannelle Green, Moises Reyes, Noe Reyes, and Gabriel Palacios. Under review. [arXiv]
- Obstructions to Shake Sliceness for Links. Topology and Its Applications. 310, 108027, 2022. [arXiv]
- Shake Slice and Shake Concordant Links. Journal of Knot Theory and its Ramifications. 29(12), 2050087, 2020. [arXiv]
- PhD Dissertation. Rice University, 2017. [Link]
Education
Rice University, Ph.D. Mathematics, May 2017.
- Thesis: Shake Slice and Shake Concordant Links
- Advisers: Shelly Harvey (2016-17),
Andrew Putman (2015), Tim Cochran (2013-2014)
- Senior Honors Thesis: Bott Periodicity (A Morse Theory Proof)
