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I am a PhD student at University of Florida. As an undergraduate, I double majored in Physics and Mathematics at University of Cincinnati. I completed my Master's degree at University of Florida in Spring 2015.
I have research interests in both pure and applied mathematics. I am currently focused on algebraic topology and its applications to machine learning. On the pure side, I'm a long time fan of finite group theory, where my research includes studying solvable groups using graph theory, and, more recently, extending this to using abstract simplicial complexes. I also like computational physics, having worked for several years with the great scientists at the Belle collaboration.
Some peripheral interests, in no particular order, are: multivariate public key cryptography, probability, and alternative pedagogy.
A. Gruber, et al. A characterization of the prime graphs of solvable groups, Journal of Algebra, Volume 442, 15 November 2015, Pages 397-422, ISSN 0021-8693, doi:10.1016/j.jalgebra.2014.08.040. (Researchgate)
Coauthors: Thomas Michael Keller, Mark L. Lewis, Keeley Naughton, Benjamin Strasser
"Belle II Crosstalk Analysis through Association Mining on Anode Pairs." Alexander Gruber to Belle collaboration. August 25th, 2013.
Design and Cryptanalysis of Matsumoto-Imai and its Variants (part II). UF Algebra seminar. Oct. 21, 2014.
Design and Cryptanalysis of Matsumoto-Imai and its Variants (part I). UF SIAM seminar. Oct. 14, 2014.
A 3-coloring of the Complement of the Prime Graph of a Solvable Group. Zassenhaus Group Theory Conference, West Carolina University. May 24, 2013.
Data mining algorithms in experimental particle physics. 2013 Undergraduate Research Conference, University of Cincinnati. April 18, 2013.