hex0x





Lauren T. Harrington


Lauren received a BA in anthropology from The New School, focusing on socio-technical systems and heterodox economics. After graduating, Lauren worked in various parts of the web3 startup industry, from DeFi to decentralized identity. Currently, she is pursuing a master’s degree in pure math at CUNY, Queens College. She is interested in information systems, mechanism design, network commons, human computer interaction, morally and technically autonomous systems. 

CONTACT
PROJECTS
etc.




substack

are.na

x


maths interestscomputational algebraic geometry

number theory

representation theory

category theory


social science interestssystems theory

economics

media studies


programming and vibe coding
python 
spyder (algorithms)
julia (symbolic computation)
R (statistics)
rust (cryptography)
html+css (recreational)









Last Updated 10.14.25
ec mod p


ec mod p is a calculator that computes the number of rational points on an elliptic curve modulo some prime number. Elliptic curves, specifically over a finite field, have applications in cryptography (this is the backbone of the Bitcoin blockchain for example) and the study of elliptic curves are very important in number theory — in fact many open problems in mathematics have been solved or can be thought to be solved with elliptic curves. Elliptic curves played a fundamental role in Andrew Weil’s legendary proof of fermat’s last theorem, which was an open problem for over 200 years. The study of elliptic curves are also thought to help better understand the distribution of prime numbers. 


This calculator is meant to encourage students to learn about the deep algebraic and number theoretic structure of elliptic curves and as a tool for researchers to expedite computations in order to discover new patterns in the coefficients of these curves. I was encouraged to build this web application by my professor and number theorist, Krystof Klosin. This project is in collaboration with Alexandra Duboy.