Teaching

Overview

I approach teaching as the structured cultivation of mathematical thinking. While my research lies in geometric representation theory, my teaching spans foundational calculus to advanced algebra and graduate topics. Across levels, my goal is consistent: to develop conceptual clarity, structural insight, and mathematical maturity.

I view teaching and mentoring as integral to the development of mathematical talent. Careful scaffolding, precision in exposition, and sustained engagement with ideas are central to my classroom practice.

Teaching Philosophy

Mathematical understanding develops in stages. Computation precedes abstraction, but abstraction must ultimately organize computation.

In my courses, I emphasize:

• Structural understanding over procedural memorization
  
  

• Clear logical progression of ideas
  
  

• Diagrammatic and visual reasoning where appropriate
  
  

• Gradual transition from example-driven thinking to proof-based reasoning
  
  

I aim to create classrooms where students learn how to think mathematically, not merely how to solve problems.

Courses Taught

University of Notre Dame (2023–Present)

Teaching Load: 2+1 courses per year

• Calculus A
  
  

• Calculus B
  
  

• Honors Algebra I (Groups, Rings, Modules)
  
  

• Field Extensions and Galois Theory
  
  

• Graduate Reading Course: Flag Varieties
  
  

University of Georgia (2021–2023)

Teaching Load: 2+1 courses per year

• Calculus I (Flipped classroom model)
  
  

• Calculus II (Flipped classroom model)
  
  

• Graduate Course: Homological Algebra
  
  

Additional responsibilities:

• Member, Calculus I Mass Examination Committee
  
  

Louisiana State University (2016–2021)

2016–2019: Coordinated Course Instruction and Academic Support

• Recitation Instructor, Calculus I
  
  

• Grader, Calculus I–III and Discrete Mathematics
  
  

• Mathematics Lab Tutor
  
  

These roles were within coordinated multi-section calculus programs involving shared syllabi and common examinations.

2019–2021: Instructor of Record

• College Algebra

• calculus I
  
  

• Calculus II (in-person, hybrid, and online formats)