About
Hello! I am a postdoctoral researcher in mathematics at McGill University. I recently received my Ph.D. from the University of Chicago's Department of Mathematics where my advisor was Frank Calegari. I work in algebraic number theory, with a focus on Galois representations and Galois cohomology.
I use he and its derivative pronouns.
Perhaps you are looking for my CV?
Contact
| eric.stubley@mail.mcgill.ca | |
| meeting | Anyone is welcome to schedule a meeting with me through Calendly! |
| Department of Mathematics and Statistics Burnside Hall, Room 1005 805 Sherbrooke Street West Montreal, Quebec H3A 0B9 |
|
| office | Burnside Hall, Room 1248 |
Research
Papers
Classical forms of weight one in ordinary families
[pdf][arXiv] This article contains the main results of my thesis, on a new strategy for studying classical points of low weight in p-adic families of modular forms. The eventual goal is to use this strategy to prove new results about partial weight one Hilbert modular forms. If you'd like to read my actual thesis you can find it on ProQuest. My advisor wrote a blog post about my results if you'd like to read a summary of this project.
Class groups of Kummer extensions via cup products in Galois cohomology
[pdf][arXiv][journal] Joint work with Karl Schaefer. Transactions of the American Mathematical Society (2019). My advisor wrote a blog post about our work. We wrote some Sage programs to gather large amounts of data on the class groups and p-th power congruences we study, which you can find on this GitHub page.
Anagrammatic quotients of free groups
[pdf][arXiv][GitHub] A silly math project I did figuring out the quotient of the free group on 26 generators by English anagrams. I think the most interesting fact is that there is a simple presentation of this group, where the only relations are commutators of letters as opposed to anything more complicated! Also q and u commute. If you want to play around with the Sage code for simplifying relations you can find it on this GitHub page.
Teaching
University of Chicago
- Winter 2021: MATH 153 Calculus 3. [canvas]
- Autumn 2019: MATH 153 Calculus 3 (Sections 27 and 37). [canvas]
- Winter 2019: MATH 113 Studies in Mathematics. [canvas]
- Autumn 2018: MATH 112 Studies in Mathematics. [canvas]
- Winter 2018: MATH 132 Elementary Functions and Calculus 2 (Section 48). [canvas]
- Autumn 2017: MATH 131 Elementary Functions and Calculus 1 (Section 48). [canvas]
Canada/USA Mathcamp
I've been very fortunate to spend the past few summers teaching and being an academic coordinator at Canada/USA Mathcamp. Mathcamp is a 5-week residential summer camp in mathematics for high school students from across the world. See below for a list of Mathcamp classes I've taught. If you're interested in seeing notes or homeworks from any of these classes please email me!
Summer 2021, at our Virtual Mathcampus:
- What are your numbers worth? or, the part of algebraic number theory we can actually do (5 days)
- Finite fields: the power of Frobenius (2 days)
- How to ask questions? (1 day)
Summer 2020, at our Virtual Mathcampus:
- Introduction to ring theory (5 days)
- Grammatical group generation (2 days)
- Congruences of Bernoulli numbers and zeta values (4 days)
- Solving equations with origami (5 days)
- The lemma at the heart of my thesis (1 day)
- How to ask questions? (1 day)
Summer 2019, at Lewis & Clark College in Portland, Oregon:
- The centuries-old English tradition of publicly performing Hamiltonian cycles in Cayley graphs of symmetric groups (change ringing) (5 days, with Tim Black)
- Analysis with primes (5 days)
- Everything you ever wanted to know about finite fields (5 days)
- The sound of proof (1 day)
- Reciprocity laws in algebraic number theory (5 days)
- Infinitely many proofs of infinitely many primes (1 day)
- You can't solve the quintic (2 days)
- Perspectives on cohomology: Galois cohomology (1 day)