Research
I am a mathematician and computer scientist engaged in active research across multiple domains. If you'd like to see what I'm working on and what I've done so far, choose a category you're interested in and browse through my completed papers.
TANUKI-CD is a research program I founded to promote and facilitate further study into Cayley–Dickson algebras and their properties. Here are the papers I've completed as a part of this program.
A uniform bilinear algorithm for Cayley–Dickson multiplication over unital commutative rings with 2 invertible using O(N log N) ring operations and O(N) auxiliary storage with an MIT-licensed implementation fastCD for the standard real tower.
For fixed-field lattice product constructions, any fixed power saving in the product set forces an asymptotically maximal sumset.
Implementations and timing benchmarks of CSIDH and its constant-time variant, examining the computational cost of defenses against side-channel attacks.
