Dissertation: Virtual Unknotting for Families of Virtual Torus Knots
Focus group interviews with students of color and first-generation students in unique UNL math courses Intermeditae Algebra (Math 100A) and Contemporary Mathematics (Math 203/203J), followed by a write up of recommendations to instructors for ways to make courses more welcoming, inclusive, and beneficial to students.
On invariants of virtual knots and extending the Jones Polynomial to virtual knots.
On families of graphs and the Graph Reconstruction Conjecture
On number theory, elliptic curve cryptography, and Python.
On knot theory, the Jones Polynomial, and knot invariant construction.