Jerry Guo

I'm interested in mathematics and computer science. I do research on graph coloring and build things with software and hardware. Online, I go by ConcaveTriangle (the geometry is questionable).

I've done competition math and taken courses at Foothill College (Math 1A–1D and CS 2A). Current projects are below.

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Jerry Guo

Projects

GitHub ↗

Attractors

Plots five attractors in 3D, with adjustable parameters and colors. Images can be saved as PNG or SVG.

Mathematics · JavaScript

Helmet HUD

A Raspberry Pi heads-up display with live sensors, navigation, weather, and destinations sent from a phone.

Hardware · Python · In progress

Eliza v2

A personal AI agent with persistent conversations, resumable analysis, tools, and memory.

AI · In progress

SelfPortrait v2

A language-model project exploring personal conversational style. I'm working on the second version.

Language models · In progress

Aegis

A local-first Reddit feed and comment filter, with configurable preferences and optional semantic classification.

Browser tools · In progress

Research

I'm currently working on Chromatic graph coloring research.

Group theory2025

On a dual version of Huppert’s ρ-σ conjecture of codegrees

Xia Xu, Yang Liu, Michael Li, Xinyi Jerry Guo & Yong Yang

Communications in Algebra, 53(12), 5353–5357.

Improved bounds on the derived length of solvable linear groups, with an application to a dual version of Huppert’s conjecture on character codegrees.

Paper
Conference paperACAIT 2024

AI-Assisted Legal Education for Student Grouping Using Large Language Models

Jiaxu Miao, Yiquan Wu & Xinyi Guo

2024 8th Asian Conference on Artificial Intelligence Technology, 283–290.

LawEducator combines a language model with retrieved legal knowledge, and explores applications in learning and student grouping.

Paper on IEEE Xplore

Overview

Math solutions

I write solutions to AMC, AIME, and USA(J)MO problems on Art of Problem Solving (AoPS) as ConcaveTriangle. A few examples, with the dead ends omitted: