teaching, Seminars, and service
teaching
In winter 2024, I am teaching a topics course on Curves & Surfaces
In fall 2023, I taught MAT1100: Algebra I.
In fall 2022, I taught MAT138H1 (introduction to proofs), and a topics course on Hodge theory, at UofT.
In spring 2022, I taught commutative algebra.
In fall 2021, I taught a topics course on rational points.
In fall 2020, I taught Math 2270 (Calculus III) at UGA, as well as a topics course on étale cohomology.
In fall 2019, I taught Calculus 2250 at UGA.
In the fall 2017 semester, I taught a topics course in deformation theory. Here is the website.
In the fall 2016 semester, I taught Calculus III at Columbia. Here is the courseworks website.
I believe that lecture is an important component of college-level math courses, but it is not the only component. Especially in an introductory course like Calculus, students must read the assigned section of the book, and do the assigned problems as independently as possible. In any course, you must take the initiative to understand the material -- if you don't understand something in lecture, speak up! You should also try some more independent diagnostics -- if you are having trouble with a problem, really try to have an honest dialogue with yourself about what concepts you are not understanding. Of course, you should feel free to come to office hours or the math help room and discuss these issues with me or with a graduate student (for example, your TA).
Mentorship, Etc.
I have supervised multiple individual undergraduate research projects. I’ve also run many REUs: in the summer of 2018 I ran REU on supersingular hypersurfaces with Alex Perry. Before that I mentored a group of undergrads in the Columbia REU program with Dave Hansen, in a project about applications of Lie algebra representation theory to combinatorics. (Problem sets: I, II). The previous summer I mentored a group of undergrads in the Columbia REU program with Daniel Halpern-Leistner.
In the past, I've been a mentor for Columbia's Summer Undergraduate Research program and a similar program at Stanford, and I regularly give talks aimed at undergraduates or younger students. I've spoken at the Columbia undergraduate math society, the Stanford undergraduate math organization, both MIT and Stanford SPLASH, as well as various math circles.
If you are undergraduate and are interested in working on a project with me (for example, if you would like me to supervise your senior thesis), please take a look at my research and see if you find it interesting before coming to speak with me. You might also want to look at Ravi Vakil's advice to potential students, in particular the section on general advice.
Seminars
I am currently organizing a learning seminar on rigid local systems.
In Fall 2020, I am co-organizing the ZaZoom seminar with Borys Kadets. I organized the BIOPSY seminar in Summer 2020 and the CRAAG seminar in Spring 2020. I am a co-organizer of the UofT Algebraic Geometry Seminar. In the past I’ve co-organized similar seminars at Columbia, the IAS, and Stanford.