I'm a fifth year PhD student at Emory University Department of Mathematics.
My advisor is Yiran Wang.
My office is MSC N404. I accept he/him pronouns.
I am interested in boundary rigidity problems and similar inverse problems in Riemannian and Pseudo-Riemannian Geometry, and in the Microlocal and Analytic techniques needed to solve them.
Email: maxwell.auerbach@emory.edu
CV: The current version of my CV is here
I am currently teaching Calculus 2. I taught Calculus 1 in the fall of 2022 and Calculus 2 in the spring of 2023 and the spring of 2024, and will teach Calculus 2 again in the spring of 2025.
I was a TA for Calculus for Data Science during fall of 2021 and spring of 2022, and graded for the same during fall of 2020 and spring of 2021.
I led a DRP during fall 2023 using a textbook from the Journal of Inquiry-Based Learning in Mathematics
In the fall of 2022 I was teaching a section of Calculus 1 coordinated by Juan Villeta-Garcia. During this time I developed extra worksheets to give students guided problems from the textbook, and additional problems of my own making.
In the spring of 2023 I was teaching a section of Calculus 2 coordinated by Jim Nagy. We were given more agency over the structure of our section, and I expanded the idea of guided problem worksheets I used in the previous semester to a class structured with 40 minutes to 65 minutes of lecture followed by a supervised session for students to work on the worksheets, which included homework on the front, and extra questions on the back.
In the spring of 2024 I was teaching a section of Calculus 2 that is not coordinated. I endeavored to make my lectures far more engaging, at the cost of reduced time for a supervised session for students to work on the worksheets of the same form as the last semester.
In the fall of 2025 I am teaching a section of Calculus 2 that is coordinated again by Jim Nagy. I am trying to balance more engaging lectures with sufficient time for a supervised session for students to work on the earlier described worksheets.
During fall 2023 I led a student through Coppin's Euclidean and Non-Euclidean Geometries course from the Journal of Inquiry-Based Learning in Mathematics. This text, in the Inquiry-based learning method, gives students the basic axioms and definitions of Euclidean geometry and asks them to prove theorems. I am partial to this methodology as it was how I learned basic real analysis. I believe that exposure to this method as an undergrad is a positive experience in terms of mathematical maturity. The goal of a DRP using these texts is to promote mathematical thinking, and to practice proof writing, while developing a deep understanding of the subject matter. The textbook did not exactly live up to the level of challenge I was looking for, and I am searching for a better resource for future work with undergraduates.
I enjoy drawing in LATEX using TikZ, and through the years working on various projects have compiled a few fancy pictures. You can see a small selection of the graphics you are free to use that I've made at this page.
My favorite two resources for TikZ are 'A very minimal introduction To TikZ' by Jacques Crémer and the full PGF Manual, both of which can be found on the PGF CTAN page.
I've been climbing for the last few years, and go with a couple of other math graduate students at Emory a few times a week.
I've helped organize a weekly mathematics soccer game
I've start a small collection of board games (most recent purchase: Sentinels of the Multiverse)
Lately I've been enjoying reading through The Poet's Companion.
This website was last updated 11/14/2024