I am a postdoctoral scholar in the algebra group at the University of Kentucky. I work with Uwe Nagel on problems in computational commutative algebra. I will be on the job market in Fall 2019. Here is my CV.
From Fall 2017 until Spring 2019, I was the organizer of the Kentucky Algebra Seminar. In Fall 2019, the seminar organizer will be Max Kutler.
During Fall 2018 - Spring 2019, I led an undergraduate research project through the Kentucky Geometry Lab. We looked at the persistent homology of point clouds generated by noise functions, similar to those used to procedurally random generate terrain in video games.
I made a visual representation of a flag of normal subgroups in the symmetric group \(S_4\), shown to the right. The \(24\times 24\) grid is a multiplication table for the group, where the group elements have been colored so as to reflect the composition series \((1) \trianglelefteq V \trianglelefteq A_4\ \trianglelefteq S_4\). A physical quilt modeled after this design is a future project of the lab's 2D visualization group.
Shown at left is a 3D-printed model of the Clebsch diagonal cubic which emphasized the \(27\) straight lines that it contains. Working with UKY undergraduate Sean Grate, this model was created using Sage, made suitable for printing via Blender, and printed on the Form 2 3D printer at the UK Math Lab. For more information on the mathematics behind this object, see here or here.