Teaching
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Lecturer, University of Kansas Math Club, Fall 2025
Ran a weekly lecture series through KU’s math club on surface type cluster algebras and quiver representations. We covered the Laurent Phenonmenon, coefficient positivity, cluster complexes, analogous developments in quasi-cluster algebras, quiver representations, path algebras, and Bernstein-Gelfand-Ponomarev reflection functors and briefly sketched out the connection to quiver mutations via cluster categories.
Instructor, University of Georgia, Summer 2025
In the summer of 2025, I served as one of the mathematics instructors for the University of Georgia’s Trio UB/UBMS program where I taught geometry, algebra, and precalculus to traditionally underrepresented students in collegiate eduation.
Instructor, Art of Problem Solving Online School, Fall 2024 - Present
Instructor at the Art of Problem Solving Online School, a world-renowed after-school program dedicated to teaching students mathematics, computer science, and science at levels of high rigor and content-depth via text-based chatrooms. To date, I have taught or are teaching:
Instructor, Art of Problem Solving Virtual Campus, Fall 2024 - Present
Instructor at the Art of Problem Solving Virtual Campus which implements and adapts the Art of Problem Solving Online School curriculum into interactive Zoom classrooms taught entirely via the Socratic method. To date, I have taught or are teaching:
Instructor, University of Kansas, Fall 2024 - Present
As a Graduate Teaching Assistant, I receive teaching assignments at the University of Kansas. To date, I have received the following assignments:
Lecturer, Pacific Math Club, Spring 2024
Ran a weekly lecture series through University of the Pacific’s mathematics club to lecture on topics from point-set topology which is not offered as a course at the University of the Pacific. Topics were presented in a way friendly to those with background in calculus at the levels of MATH 051 and MATH 053.
Resources used
Handouts written by myself that are inspired by or reference the following books:
- Real Mathematical Analysis by Pugh
- Introduction to Topological Manifolds by Lee
Topics Covered
- Real analysis in \(\mathbb R\) and \(\mathbb R^n\)
- Sequences, subsequences, and convergence
- \(\varepsilon\)-\(\delta\) condition
- Continuity
- Metric spaces
- Sequences, subsequences, and convergence
- \(\varepsilon\)-\(\delta\) condition
- Open subsets and closed subsets
- Continuity and homeomorpisms
- Metric subspaces and product spaces
- Topological spaces
- Topology and open subsets
- Sequences, subsequences, and convergence
- Continuity and homeomorphisms
- Hausdorff Property
- Bases and countability properties
- Manifolds
- Subspaces
- Product spaces
- Quotient spaces
- Compact spaces
- Connected spaces
Lecturer, Pacific Math Club, Fall 2023
Ran a weekly lecture series through University of the Pacific’s mathematics club to lecture on topics from a typical complex analysis course which is not offered at University of the Pacific. Topics were presented in a way friendly to those with background in calculus at the levels of MATH 051, MATH 053, and MATH 055 at the University of the Pacific.
Resources used
- Handouts written by myself that are inspired by or reference the following books:
- Complex Variables and Applications (9th edition) by Brown and Churchill
- Visual Complex Analysis by Needham
- Complex Analysis by Gamelin
- Visual Complex Functions by Wegert
- Complex Analysis by Stein and Shakarchi
- Regular usage of Complex Function Explorer and cplot for plotting functions
- Regular usage of MATLAB and Numpy/Matplotlib for numerical computations
Topics Covered
- Naive definition of complex numbers
- Euler’s formula \(e^{it} = \cos t+i\sin t\)
- Complex number algebra
- Complex transcendental functions
- Branch cuts and multivalued functions
- Graphing Techniques
- Stereographic projection
- Limits and continuity of complex functions
- Derivatives of complex functions
- Cauchy-Riemann equations
- Line integrals and Green’s theorem
- Line integrals of complex functions
- Cauchy’s theorem and Cauchy’s integral formulae
- Liouville’s theorem and the fundamental theorem of algebra
- Sequences and series of complex numbers
- Taylor and Laurent decompositions
- Classifications of singularities
- Calculus of residues
Tutor, University of the Pacific, Fall 2023 - Spring 2024
Stationed as a CRLA-certified drop-in tutor at University of the Pacific’s library to answer student questions from the college algebra, precalculus, and calculus classes. I also was the primary drop-in tutor for a variety of other higher-level math content such as linear algebra, differential equations, proof-writing, and abstract algebra.
Teaching assistant, University of the Pacific, Fall 2022
Answered student questions on in-class worksheets for a precalculus companion course.
Teaching Assistant, Art of Problem Solving Online School, June 2020 - Present
My role as a teaching assistant at the Art of Problem Solving’s Online School entails:
- Answering questions, engaging, and encouraging students in live text-based class sessions ranging from 30 to 75 students.
- Grading student submissions and provides detailed written feedback.
To date, I have assisted the following courses in some form or another: