Herndon Math Services — Private tutoring in proof-based mathematics

Tutoring

Subjects and students

Sessions are one-on-one and tailored to the student. Some students arrive with a list of questions and others aren’t sure where to start. I’m happy to start wherever we need to.

Subjects

Here are the subjects I tutor most often:

Logic and Proof Writing
Discrete Mathematics
Calculus
Real Analysis
Complex Analysis
Linear Algebra
Abstract Algebra
Number Theory
Topology

Students

I work with students at several stages:

Undergraduate students
Graduate students
Self-learners
Advanced high-school students

Wondering if this is a good fit? Send me a message and I’ll let you know if I can help.

A short video introduction You can watch a video introduction to my tutoring services here. Watch on YouTube ↗

Library

A library to wander through

I make interactives, worksheets, and notes for my students. Here are a few favorites; you can visit my library for the full collection.

Interactive · Logic & Foundations · Discrete Mathematics Functions on a Three-Element Set All 27 functions from {a, b, c} to itself, sitting at the lattice points of a 3×3×3 cube. Toggle a property (bijective, constant, idempotent, a fixed point) or group them into the seven types up to relabeling. Open ↗
Worksheet · Number Theory Farey Sums The Farey sum a/b ⊕ c/d = (a+c)/(b+d) and the mediant procedure that builds the Farey sequence stage by stage. Open ↗Key
Worksheet · Abstract Algebra · Logic & Foundations Sets and Categories Problems on products, coproducts, and universal properties, following Aluffi’s Chapter 0. Open ↗Key

Browse the library →

Contact

Get in touch

Please complete this form to contact me for tutoring. I will reply by email after I review your submission, usually within a day or two.

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Student’s current academic level

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Prefer email? Write to tutor@herndonmathservices.com

About

About me

Hi! I’m Dr. Jake Herndon, a mathematician and tutor from Chicago, Illinois. I founded Herndon Math Services in 2020 and have been teaching online ever since.

I received my PhD from the University of Illinois at Chicago in 2019. My research interests include geometric group theory and descriptive set theory; my thesis was on the large-scale geometry of Polish groups. You can read a PDF copy here.

Outside of tutoring, I post the occasional math video on my YouTube channel, and I volunteer with the Prison Mathematics Project, which provides math mentorship for incarcerated learners.

I also take on consulting work. If your project would benefit from a trained mathematician, please email me at contact@herndonmathservices.com.

A work table with fabric, a notebook, and a pencil case — My glasses, my notebook, a clementine, and some clutter from my office