Activities

Talks

See my talks page.

Conferences

• 11/2021: Invited Participant, MSRI Chern-Simons and Other Topological Field Theories.
  • Notes (PDF)
• 07/2021: Participant, IAS/PCMI Graduate Summer School on Motivic Homotopy.
  • Notes (PDF),
  • Notes (HTML)

• 06/2021: Participant/Note-Taker, MIT Talbot Workshop: Viva Talbot!.

  • Jeremy Hahn, “Methods and Mysteries in the Construction of Ring Spectra” Notes (PDF)

  • Tasos Mouliunos, “Perspectives of Nonabelian Hodge Theory” Notes (PDF)

• 09/2019: Participant, Mid-Atlantic Topology Seminar
  • A Twitter thread overview of the talks/topics.

• 05/2019: Participant, Georgia Topology Conference

• 05/2019: Participant, Graduate Student Conference in Algebra, Geometry, and Topology (Temple University)

• 04/2019: Participant, Redbud Topology Conference (University of Oklahoma)

• 04/2019: Participant, Geometry Festival (University of Maryland)
  • Notes (PDF)
• 03/2019: Participant, Arizona Winter School 2019: Topology and Arithmetic (University of Arizona)
  • Notes (PDF, Work-In-Progress),
• 01/2019: Participant, Complex Algebraic Geometry Conference (University of California, San Diego)
  • Notes (PDF)

• 06/2018: Participant, Witt Vectors, Deformations, and Absolute Geometry Conference (University of Vermont)

• 03/2018: Participant, Latinx in the Mathematical Science Conference) (IPAM)

Service

• Mentor, Directed Reading Program at UGA:
  • Fall 2021: Mentor, Directed Reading Program at UGA. (Topic: Diophantine geometry, introductory algebraic number theory)
  • Summer 2021: Mentor, Directed Reading Program at UGA. (Topic: $L\dash$functions, complex analysis, the prime number theorem)
• Conference and Seminar Co-Organization:
  • Fall 2021: Co-Organizer, UGA Graduate Student Seminar.
  • Summer 2021: Organizer, GOSS (Graduate Online Seminar Series).
  • Summer 2021: Co-Organizer, Mock AMS. (UGA)
  • Summer 2020: Co-Organizer, Graduate Online Anything Topology and Geometry Series with Sarah Blackwell
    • GOATS 3
    • GOATS 2
    • GOATS 1

• Summer 2021: Organizer, Qualifying exam review sessions at UGA (Algebra, Real Analysis, Complex Analysis, Algebraic Topology).

• Spring 2021: Organizer, Qualifying exam review sessions (Algebra and Real Analysis. UGA)

• 2017 – 2018: President, The Society of Undergraduate Mathematics Students (UCSD)

Teaching

• Spring 2022: Instructor of Record, Calculus I for Science and Engineering (UGA Math 2250) (UGA, 1 section)
  • Course Website
• Fall 2021: Instructor of Record, Calculus I for Science and Engineering (UGA Math 2250) (UGA, 1 section)
  • Course Website
• Spring 2021: Instructor of Record, Math 1113 (PreCalculus) (UGA, 2 sections)
  • Course Website
• Fall 2020: Instructor of Record, Math 1113 (PreCalculus) (UGA, 1 section)
  • Course Website

• Fall 2020: Grader, Math 4100/6100 (Sequences and Series, UGA).

• Spring 2020: Grader
  • Foundations of Geometry (Math 5200/7200)
    (UGA)
  • Differential Geometry (Math 4250/6250)
    (UGA)
  • Algebra for Middle School Teachers (Math 5035) (UGA)
• Fall 2019: Recitation Leader, Calculus I (Math 2200) (UGA)
• Fall 2019 – Fall 2021: Drop-in tutoring (UGA)

Coursework

2022

Spring

• TBD

2021

Fall

• Characteristic Classes with Akram Alishahi
• Schemes with Phil Engel
• Rational Points with Daniel Litt
• Flag Varieties, Equivariant Cohomology, and $K\dash$theory with Scott Larson
• Additive Combinatorics with Akos Magyar
• Stochastic Processes

Summer

• Modular Forms minicourse with Akos Magyar.

Spring

• Homological Algebra with Brian Boe.
  • Content: see course notes
• 4-Manifolds with Philip Engel
  • Content: see course notes
• Floer Homology with Akram Alishahi
  • Content: see course notes
• Algebraic Number Theory with Paul Pollack
  • Content: see course notes

2020

Spring

• Commutative Algebra with Pete Clark
  • Content: Pete’s Notes See course notes
• Category $\mathcal{O}$ with Brian Boe
  • Content: Representations of Semisimple Lie Algebras. See course notes
• Complex Analysis with Jingzhi Tie
  • Content: Stein and Shakarchi See course notes
• Moduli Spaces with Ben Bakker.
  • Content: see course website and course notes
• Elliptic Curves with Pete Clark
  • Content: see course notes
• Morse Theory with Akram Alishahi (Partial course)
  • Content: see course notes

Summer

• Link Invariants, Categorification and Algebraic Geometry with Arik Wilbert
  • Content: See course notes
• Lee’s Introduction to Smooth Manifolds with Mike Usher (Reading Course)
  • Content: See reading notes
• Fourier Analysis and Number Theory with Brandon Hanson

Fall

• Algebraic Curves with Pete Clark
  • Content: H. Stichtenoth, “Algebraic function fields and codes”. See course notes
• Algebraic Geometry with Philip Engel
  • Content: Gathmann. See course notes
• Algebraic Groups with Dan Nakano
  • Content: See course notes
• Smooth Manifolds with David Gay

2019

Fall

• Algebra with Daniel Nakano (1 Semester)
  • Content: Hungerford. See course notes
• Real Analysis with Neil Lyall (1 Semester)
  • Content: Stein and Shakarchi See course notes
• Lie Algebras with Chun-Ju Lai
  • Content: Humphreys “Introduction to Lie Algebras and Representation Theory”. See course notes
• Differential Topology with Weiwei Wu
  • Content: Lee, Bott and Tu

2018

• Algebraic Topology with Justin Roberts (1 year)
  • Content: Hatcher Ch.1-4

• Quantum Mechanics for Mathematicians with Todd Kemp (1 semester)

• Functional Analysis with Todd Kemp (1 year)
  • Content: Conway Ch. 1,2,3,6,7,10.

Undergraduate (Quarter System)

2017

• Numerical Methods and Physical Modeling

• Image Processing

• Applied Linear Algebra

• Partial Differential Equations

• Computer Vision

• Complex Analysis

• History of Mathematics
  • Content: Hyperbolic Geometry
• Theory of Computation
  • Content: Sipser

• Introductory Machine Learning

• Discrete Mathematics and Graph Theory

2016

• Design and Analysis of Algorithms

• Number Theory

• Advanced Data Structures

• Knot Theory

• Abstract Algebra (1 Year)
  • Content: Beachy and Blair “Abstract Algebra”
• Real Analysis (1 Year)
  • Content: Rudin, “Principles of Mathematical Analysis”

2015

• Point-Set Topology
  • Content: Munkres, Topology

• Mathematical Algorithms and Systems Analysis in Computer Science

• Probability
  • Content: “Elementary Probability for Applications”, Rick Durrett

• Software Tools and Techniques

• Combinatorics
  • Content: Bona, A Walk Through Combinatorics

• Mathematical Reasoning and Proof

• Vector Calculus

• Structure and Interpretation of Signals and Systems (UC Berkeley)

• Assembly Programming (x86)

• C++ Programming

• Finite Mathematics and Linear Programming

2014 and Earlier

• Discrete Mathematics and Probability Theory (UC Berkeley)

• Structure and Interpretation of Computer Programs (Python)

• Elementary Statistics

• Introduction to Unix

• Discrete Mathematics

• Electrical Circuit Theory

• Differential Equations and Linear Algebra

• General Chemistry

• Physics: Mechanics, Electromagnetism, Optics, and Waves

• Calculus: Single and Multivariable

• Data Structures

• Systems Programming with C

• Discrete Structures in Computer Science

• Object-Oriented Programming