Coursework

Activities


Talks

2019

  • 02/2019: Mathematics Subject GRE Workshop

2018

  • 06/2018: Homotopy and the Hopf Fibration

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

  • 02/2018: Topological Fixed Point Theorems

2017

  • 11/2017: Homology and The Snake Lemma

  • 10/2017: Algebraic Geometry: A Historical Primer

  • 10/2017: Introduction to Functional Programming

  • 05/2017: Intermediate LaTeX

  • 04/2017: Introduction to LaTeX

  • 02/2017: Intermediate LaTeX

  • 01/2017: Intermediate LaTex: Organizing Large Projects

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

2016 and Earlier

  • 11/2016: Introduction to LaTeX

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

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

  • 10/2016: Haskell for Mathematicians

  • 05/2013: Discrete Mathematics: An Overview of Graphs and Trees


Coursework

Graduate

  • Algebraic Topology (3 Quarters)
    • Content: Hatcher Ch.1-4
  • Quantum Mechanics for Mathematicians

  • Functional Analysis (2 Quarters)
    • Content: Conway Ch. 1,2,3,6,7,10.
  • Algebra (1 Quarter)
    • Dummit and Foote

Undergraduate

2017

  • Numerical Methods and Physical Modeling

  • Image Processing

  • Applied Linear Algebra

  • Partial Differential Equations

  • Computer Vision

  • Complex Analysis

  • History of Mathematics (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

  • Assembly Programming (x86)

  • C++ Programming

  • Finite Mathematics and Linear Programming

2014 and Earlier

  • Discrete Mathematics and Probability Theory

  • 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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