I am currently a graduate student in the School of Mathematics at the Georgia Institute of Technology (GT). My advisors are Dr.’s Kenneth Brown (physics - Duke University), Evans Harrell (mathematical physics - School of Math, GT), and Adam Meier (coding theory - GT Research Institute). My research splits into two main projects: classical coding theory (Meier) and quantum computation (Brown). The icons at the bottom of the page also link to my email, LinkedIn, GitHub, and curriculum vitae.
Past projects I have been involved with include the exact and numerical scientific computation of quantum invariants via knot theory and Feynman diagrams (Stavros Garoufalidis - School of Math, GT), path planning for autonomous robots (Sung Ha Kang - School of Math, GT), mathematical modeling of microelectromechanical systems (John Pelesko - Department of Mathematics, University of Delaware), reverse draining of magnetic thin films (John Pelesko - Department of Mathematics, University of Delaware), and particle physics models of primordial inflation (Qaisar Shafi - Bartol Research Institute, University of Delaware).
On the classical side, I am an information theorist for IARPA's new Molecular Information Storage (MIST) initiative. This large-scale project spans multiple academic institutions and corporations. My main task (Technical Area 3 - Operating System) is to model the errors inherent to Technical Areas 1 (Storage) and 2 (Retrieval) and develop an operating system that coordinates addressing, data compression, encoding, error-correction, and decoding in a manner that supports efficient random access at scale. Please see the link for more details.
On the quantum side, I am mainly interested in the quantum error correction and its related quantum information theory. Specific interests include qudit codes, quantum cyclic (BCH and Reed-Solomon) codes, approximate error correction, color codes, double color codes, and the unitary decomposition problem.