Current Research or Professional Activities

Research Interests Low-dimensional topology, knot theory, knot and link concordance and connections with 3- and 4-manifolds

Selected Academic Publications

• How many crossing changes or Delta-moves does it take to get to a homotopy trivial link? with C. Davis, T. Martin, C. Otto, K. Vance. Accepted. Algebraic and Geometric Topology. [arXiv]
• Self and Mixed Delta-Moves on Algebraically Split Links. with Devin Garcia, Justyce Goode, Yamil Kas-Danouche, and Davielle Smith. Accepted for Publication. PUMP Journal of Undergraduate Research [arXiv]
• Craig, Cardinality, and the Possibility of an Inifinite Past. Journal of the Association of Christians in the Mathematical Sciences. 2025. [link]
• Understanding and Cultivating Mathematical Resilience in Students. with Adam Heck. Journal of Adventist Education. 84-1 (2022):4-6. Reprinted in Health & Home journal. [link]
• Obstructions to Shake Sliceness for Links. Topology and Its Applications. 2022. [arXiv]
• Shake Slice and Shake Concordant Links. Journal of Knot Theory and its Ramifications. 2020. [arXiv]
• Mathematics in Light of Eternity, Journal of Adventist Education. Jan-Mar 2017. [link]

Selected Public Articles

• The Miracle of Mathematics: The Unreasonable Effectiveness of Mathematics and Its Theological Significance. Accepted for Publication. Cosmos: Philosophical, Biblical and Empirical Perspectives. [Upcoming Book, Avondale Academic Press]
• From Everlasting: God's Eternality in Scripture and Modern Physics. Accepted for Publication. Cosmos: Philosophical, Biblical and Empirical Perspectives. [Upcoming Book, Avondale Academic Press]
• Rethinking Adventist Higher Education for the Age of A.I., Spectrum Magazine, November 2023.
• Believing the Unbelievable, Adventist Review, November 2022. [link]
• Mathematics: A catalyst for faith?, College and University Dialogue 28:2-3 (2016): 5-7