AlgebraityfastCD
An efficient C11 library and NumPy-backed Python package for Cayley-Dickson multiplication implementing a novel quasilinear algorithm, matrix-free Cariow–Cariowa, and direct recursive multiplication.
Harrison Lemley
Algebraity
Hello, everypony!
I'm Algebraity, also known as Harrison Lemley. I'm a mathematician, programmer, researcher, mathematical software developer, furry, and otaku.
I'm a mathematics PhD student interested in arithmetic complexity, algorithms, Cayley–Dickson and Clifford algebras, additive combinatorics, and more, currently studying at Purdue University.
Projects
Bestiary
A LaTeX-inspired mathematical computing environment that unifies seven animal-themed C libraries behind a GUI, command-line interpreter, and scripting language.
Quaternionic
C library for algebra, arithmetic, and analysis on algebras resulting from the Cayley-Dickson procedure over various fields.
OOKAMI
Python library for computations in additive and multiplicative combinatorics on finite subsets of ℤ.
Research
Cayley–Dickson algebras & algebraic cryptography
TANUKI-CD is a research program I founded to promote and facilitate further study into Cayley–Dickson algebras and their properties.
Quasilinear multiplication in the real Cayley–Dickson tower
A quasilinear algorithm for multiplication of elements of Cayley–Dickson algebras with a tested and benchmarked MIT-licensed implementation.
A Computational Comparison of CSIDH and Constant-Time CSIDH
Implementations and timing benchmarks of CSIDH and its constant-time variant, examining the computational cost of defenses against side-channel attacks.
Interests
Mathematics
Mathematical programming, algebra, representation theory, cryptography, combinatorics, numerical analysis, and more.
Programming
Algorithms, low-level languages, mathematical programming, C, language design.
Self-hosting, sysadmin, and Linux
Servers, services, GNU/Linux-based infrastructure, self-hosting.
Languages
Japanese, German, Chinese, and what languages have in common and where they differ.
Philosophy and literature
Philosophy, literature, and the human psyche.
Anime, manga, and light novels
Japanese, anime, manga, light novels, music, broader otaku culture.
