Activities

Activities


Talks

2021

2020

  • Floer Homology, Multiple Talks (Reading Seminar, UGA, Fall 2020)

  • Interesting Topological Spaces in Algebraic Geometry (Mock AMS, UGA, July 2020)
  • Zeta Functions and The Weil Conjectures, “Numbers of solutions of equations in finite fields” (CRAAG, UGA, April 2020)
  • Homotopy Groups of Spheres (UGA Graduate Student Seminar, April 2020)
  • Theorems/Conjectures on Periodic Orbits in Symplectic Geometry (Graduate Student Topology Seminar, UGA, Feb 2020)

2019

  • Homotopy Theory and the Kervaire Invariant One Problem (Graduate Student Topology Seminar, UGA, November 2019)

  • Spectral Sequences: A Primer (Graduate Student Seminar, UGA, October 2019)

  • Comparison Theorems in Cohomology: Singular, Simplicial, de Rham, and Čech (In-Class Talk, UGA, September 2019)

  • Mathematics Subject GRE Workshop (Society of Undergraduate Mathematics Students, UCSD, Feb 2019)

2018

  • 06/2018: Homotopy and the Hopf Fibration (UCSD)

  • 04/2018: Introduction to Markdown and Latex for Mathematics (UCSD)

  • 02/2018: Topological Fixed Point Theorems (UCSD)

2017

  • 11/2017: Homology and The Snake Lemma (UCSD)

  • 10/2017: Algebraic Geometry: A Historical Primer (UCSD)

  • 10/2017: Introduction to Functional Programming (UCSD)

  • 05/2017: Intermediate LaTeX (UCSD)

  • 04/2017: Introduction to LaTeX (UCSD)

  • 02/2017: Intermediate LaTeX (UCSD)

  • 01/2017: Intermediate LaTeX: Organizing Large Projects (UCSD)

  • 01/2017: Category Theory as a Mathematical Organizational Tool (UCSD)

2016 and Earlier

  • 11/2016: Introduction to LaTeX (UCSD)

  • 11/2016: Introduction to Category Theory, Part 2 (UCSD)

  • 10/2016: Introduction to Category Theory, Part 1 (UCSD)

  • 10/2016: Haskell for Mathematicians (UCSD)

  • 05/2013: Discrete Mathematics: An Overview of Graphs and Trees (Sierra College)


Conferences


Coursework

Graduate

2021

Spring

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

Summer

  • (Planned) Differential Geometry, lectures by Joseph Hoisington.
  • (Planned) Galois Cohomology and Class Field Theory, lectures be Pete Clark.
  • (Planned) Kirby Calculus, lectures by Kyle Larson
  • TBD.

Fall

  • TBD.

  • Online courses:

2020

Spring

Summer

  • Link Invariants, Categorification and Algebraic Geometry with Arik Wilbert
  • Lee’s Introduction to Smooth Manifolds with Mike Usher (Reading Course)
  • 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
  • Algebraic Groups with Dan Nakano
  • Smooth Manifolds with David Gay

2019

Fall

  • Algebra with Daniel Nakano (1 Semester)
  • Real Analysis with Neil Lyall (1 Semester)
  • 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

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