Adam Block
I am starting as PhD student, now at MIT studying mathematics.
Writing
Here is a list of notes for various talks I have given:To Graduate Students
- Intersections on Nonsingular Varieties (part of the Graduate Seminar in Intersection Theory in Algebraic Geometry at Columbia, Fall 2018 )
To College Students
- Probability and Stochastic Processes (a six part series with problem sets given at PROMYS 2019).
- Representation Theory of the Symmetric Group (a three part series given with Roger Van Peski at PROMYS 2018).
- Introduction to the Representation Theory of Finite Groups (a quick introduction to my representation theory seminar below).
- Introduction to Intersection theory in Algebraic Geometry (a three-part series given at PROMYS 2018).
- Symmetric Unimodal Sequences (a two part series on applying representation theory to combinatorics given at PROMYS 2017).
- Introduction to Nonsingular Varieties (part of the series on Classical Algebraic Geometry given at PROMYS 2017).
- Riemann-Hurwitz and Applications (part of the series on Classical Algebraic Geometry given at PROMYS 2017).
To High School Students
- Fermat's Last Theorem for Polynomials (given at PROMYS 2017).
- Monsky's Theorem (given at PROMYS 2017).
- The Skolem-Mahler-Lech Theorem (a talk given at PROMYS 2017).
Expository Notes
Here is a list of expository notes on some subject, written up for classes with interesting final reading projects.- Artin L-Functions (for a course on Class Field Theory taught by Chao Li )
- Riemann-Roch on Surfaces (for a course on Algebraic Geometry taught by Johann Dejong )
- Elliptic Curves (for a course on introductory Algebraic Number Theory taught by Chao Li )
Teaching
- Spring 2019 — TA for Intro to Algebray Topology taught by Akram Alishahi.
- Fall 2018 — TA for Honors Complex Variables taught by Julien Dubedat.
- Spring 2018 — TA for Introduction to Algebraic Topology taught by Evan Warner.
- Fall 2017 — TA for Honors Complex Variables taught by Julien Dubedat.
- Spring 2017 — TA for Honors Mathematics B taught by David Hansen.
- Fall 2016 — TA for Honors Mathematics A taught by David Hansen.
Seminars
- Summer 2018 — Representation Theory of the Symmetric Group
- Summer 2017 — Introduction to Elliptic Curves
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Fall 2016 - Spring 2019 —
Columbia Undergraduate Mathematics Society