Aaron Huntley

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Summary

I am a mathematician currently studying for a PhD degree at Case Western Reserve University.

Education

Case Western Reserve University (CWRU)
PhD, Mathematics
Sept 2024 – Present

Western University (UWO)
MSc, Mathematics
Sept 2023 – Aug 2024

University of Leeds (UoL)
M.Math, Mathematics
B.Sc, Mathematics
Sept 2019 – Jul 2023

Things I'm currently interested in

Locally lambda-Presentable Double Categories

Compact Closed Double Categories

Things I've been interested in

A infinity-Algebras and omega-Categories

Analysing Semantic Data There was a time I had access to a some data collected by Psycologists to probe 'semantic space' I was interested in how we could analyse this data to learn about how the human brain thinks 'semantically'.

Things I've written

The Dold-Kan Correspondance
These notes were in preperation for a talk I gave for a class in Stable Homotopy theory.

Introduction to Quasi-categories
These notes were born out of trying to understand infinity categories. It was also a final project for a course in Homotopical Algebra I took at Western University.

Notes on Category Theory You can find these notes on this website. However, if I haven't gotten around to fixing the script which converts the latex to html then you can find the pdf here. I wrote these notes in my last year at the University of Leeds, since then I have not made any changes. That is to say please take them with a grain of salt.

Symmetries of Escher’s Paintings
The enumeration of the 17 wallpaper groups is a delightful piece of matematics I think everyone should see. I wrote these notes in the third year of my time in Leeds.

Teaching

Graduate Assistant CWRU

Fall 2025 (SI) - MATH 120 (Calculus)
Spring 2025 (TA) - MATH 304 (Discrete Math)
Fall 2024 (TA) - MATH 201 (Linear Algebra)

Graduate Assistant UWO

Summer 2024 (TA)
Spring 2024 (TA)
Fall 2023 (TA) - CALC1000A (Calculus)

Mentorship

Directed Reading Program (DRP) CWRU

Fall 2025 - Proof Assistants and Functional Programming
Spring 2025 - Categorical Homotopy Theory Shane Redmond & Fractals and Hausdorff Measure Max Seay

Directed Reading Program (DRP) UWO

Spring 2024 - 2D Wallpaper Groups
Fall 2023 - Introduction to Category Theory

PAL Mentor UoL

Talks & Presentations

Homotopy Seminar CWRU

Locally Presentable Categories

MAMS Student Seminar CWRU

The Mathematics of Juggling

Homotopy Seminar CWRU

Homotopy Colimits

Homotopy Seminar CWRU

Model Structures in Set

Algebraic Topology and Homotopy Theory Seminar UWO

Discovering Operads through an Exploration of A∞-Algebras

Dynamical Systems Seminar UoL

Homoclinic Tangles

Leadership, Service & Outreach

Co-Founder – MGSA Student Seminar - CWRU
MGSA GCAS Representative 2025 CWRU
Founder – Directed Reading Program CWRU
MGSA International Student Liaison 2024 CWRU
Co-Founder – Algebraic Topology and Homotopy Theory Seminar UWO
Co-Founder – JuggleSoc UoL

Conferences Attended

Oktoberfest 2025, Online
YaMCATS 35, Manchester
Midwest Topology Meeting – Fall 2024, Chicago
Categories and Higher Logic – Winter 2024, Manchester

Awards & Recognition

Nominated – University-Wide Graduate Student Award, 2025 CWRU
Recipient – Graduate Student Appreciation Award (Departmental), 2025 CWRU

Last updated: October 2025