Dustin G. Mixon, Tom Needham, Clayton Shonkwiler, Soledad Villar: Three proofs of the Benedetto-Fickus theorem arxiv.org/abs/2112.02916 arxiv.org/pdf/2112.02916

Clayton Shonkwiler: All Prime Knots Through 10 Crossings Have Superbridge Index $\leq 5$ arxiv.org/abs/2112.10902 arxiv.org/pdf/2112.10902

Hey #mathtwitter, what are some of your favorite books with strong authorial voices? Some examples: Sheldon Axler’s Linear Algebra Done Right, Tristan Needham’s Visual Complex Analysis, and Petkovsek, Wilf, and Zeilberger’s A=B.

The main product of my sabbatical in Fall 2020 is finally on arXiv: arxiv.org/abs/2205.09049

Clayton Shonkwiler: New Superbridge Index Calculations from Non-Minimal Realizations arxiv.org/abs/2206.06950 arxiv.org/pdf/2206.06950

Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent, by Tom Needham and Clayton Shonkwiler In which we generalize the Frame Homotopy Theorem and the Benedetto–Fickus theorem to fusion frames. arxiv.org/abs/2208.11045

One of my old GIFs

This paper has now been published at JKTR: doi.org/10.1142/S02182…

Life advice from my (two-year-old) son: “Try be happy. Try be nice. Try not hitting.”

℘

sn

g₂

℘²

Modular flow Inspired by Daniel Piker and Etienne Jacob

℘'

❖

⌗