Current and Upcoming Teaching
| Fall 2024 | MATH 2184: Linear Algebra | Syllabus soon |
| Fall 2024 | MATH 4121: Introduction to Abstract Algebra I | Syllabus soon |
Advising
PhD theses
| Charlene Houchins, GWU PhD student (coadvised with Xingting Wang) Charly is working to understand automorphism groups of certain Poisson algebras. She will complete her specialty exam in summer 2024 and is expected to graduate in spring 2026. |
Undergraduate theses
| Tim Neumann, GWU undergraduate Tim defended his senior thesis “On m-general sets in AG(k, q) and PG(k, q): Sidon sets, projective arcs and error-correcting codes” in May 2024. While at GWU, he won the department’s Ruggles Prize (best undergraduate math major) and the Marvin Green Prize (best use of computation). As of fall 2024, Tim is an MSc student in Quantum Information Science & Technology at Delft University of Technology. |
YouTube Courses
| Advanced Linear Algebra: Tools and Applications | Course page |
| Linear Algebra Done Right | Course page |
| Introduction to Mathematical Proof | Course page |
Past Teaching
George Washington University
| Spring 2024 | MATH 4122: Introduction to Abstract Algebra II | Syllabus Course Notes |
| Spring 2024 | MATH 6995: Reading and Research I led a reading course on various topics in abstract algebra for GWU PhD students students Anthony Christiana, Ben Clingenpeel, Jake Rhody and Paula Souza. | |
| Fall 2023 | MATH 1232: Single Variable Calculus II Section 10 | Syllabus |
| Fall 2023 | MATH 4121: Introduction to Abstract Algebra I | Syllabus Course Notes |
| Spring 2023 | MATH 3125: Linear Algebra II | Syllabus Course Notes |
| Spring 2023 | MATH 2185: Linear Algebra I for Math Majors | Syllabus Course Notes |
| Fall 2022 | MATH 6101: Algebra I (Graduate course) | Syllabus Course Notes |
| Fall 2022 | MATH 1231: Single Variable Calculus I Section 15 | Syllabus |
| Spring 2022 | MATH 2185: Linear Algebra I for Math Majors | Syllabus |
| Fall 2021 | MATH 6101: Algebra I (Graduate course) Class photo | Syllabus |
| Fall 2021 | MATH 4121: Introduction to Abstract Algebra I Class photo | Syllabus |
University of Washington
| Spring 2021 | MATH 318: Advanced Linear Algebra: Tools and Applications Online due to COVID-19. | Syllabus |
| Winter 2021 | MATH 300: Introduction to Mathematical Reasoning Online due to COVID-19. How do I type up my homework? | Syllabus |
| Autumn 2020 | MATH 300: Introduction to Mathematical Reasoning Online due to COVID-19. How do I type up my homework? | Syllabus (Section B) Syllabus (Section C) Course Notes |
| Summer 2020 | MATH 340: Abstract Linear Algebra Online due to COVID-19. How do I type up my homework? | Syllabus Course Notes |
| Winter 2020 | MATH 300: Introduction to Mathematical Reasoning Sections A and B Class photo A and Class photo B | Syllabus (Section A) Syllabus (Section B) |
| Winter 2020 | MATH 399: The card game SET and finite affine geometry I continued mentoring this Washington Experimental Mathematics Lab (WXML) project which started in Autumn 2019 with four undergraduate students (Ivy Guo, Jocelin Liteanu, Avery Milandin, and Zoey Shi) and graduate TA Peter Gylys-Colwell. We worked to understand equivalence classes of 2-caps under the actions of affine transformations. | Project Description |
| Autumn 2019 | MATH 308: Matrix Algebra with Applications Sections K and L Class photo K and Class photo L | Syllabus (Section K) Syllabus (Section L) Course Notes |
| Autumn 2019 | MATH 399: The card game SET and finite affine geometry I mentored a project through the Washington Experimental Mathematics Lab (WXML). A group of three undergraduate students (Jocelin Liteanu, Jaron Wang, and Alexander Waugh), along with graduate TA Peter Gylys-Colwell learned about finite affine geometry and wrote programs to find and visualize caps in affine spaces of order 3. They gave an eight-minute talk about their work at the end of the quarter. Jaron maintains the GitHub repository for our work. | Presentation GitHub Repository |
| Summer 2019 Term B | MATH 412: Introduction to Modern Algebra for Teachers Class photo | Syllabus |
| Summer 2019 | MATH 324: Advanced Multivariable Calculus (Co-instructed with Jonathan Beardsley) Class photo | |
| Spring 2019 | MATH 308: Matrix Algebra with Applications Class photo | Syllabus |
| Winter 2019 | MATH 308: Matrix Algebra with Applications Sections E and F Class photo E and Class photo F | Syllabus (Section E) Syllabus (Section F) |
| Autumn 2018 | MATH 308: Matrix Algebra with Applications Class photo | Syllabus |
Wake Forest University
| Summer 2018 | WFU Research Fellowship: Generalizations of capsets in affine spaces of order 3 I mentored Wake Forest undergraduate Yixuan (Alice) Huang who won a Wake Forest Research Fellowship to work with me on a project in affine geometry. Together with Michael Tait, we wrote the paper Sidon sets and 2-caps in F3n. | Alice’s Poster |
| Spring 2018 | MST 117: Discrete Mathematics Class photo | Syllabus |
| Spring 2018 | MST 722: Abstract Algebra (Graduate course) Class photo | Syllabus |
| Fall 2017 | MST 121: Linear Algebra Class photo | Syllabus Course Notes |
| Fall 2017 | MST 721: Abstract Algebra (Graduate course) Class photo (An important rule of group theory, needlepointed by Beth Matys.) | Syllabus |
| Spring 2017 | MTH 109: Elementary Probability and Statistics Sections H and I | Syllabus |
| Fall 2016 | MTH 111: Calculus with Analytic Geometry I Sections I and J | Syllabus |
| Fall 2016 | Informal Reading Course I led a reading group of four Masters students (Mike Annunziata, Katie Greene, Rebecca Kotsonis, and Rob McConkey) in which we read Ellenberg and Gijswijt’s paper (then preprint) On large subsets of Fqn with no three-term arithmetic progression. |
University of California San Diego
As Associate Instructor
| Summer 2015 | Math 3C: Precalculus | Syllabus |
As Teaching Assistant
| Winter 2015 | Graduate-Undergraduate Learning Program: Finite affine geometry Together with Michael Tait, I advised UCSD undergraduates Yuhui Jin, Kyle Lee, and Esther Wang on a reading project on finite affine geometries and their connections to the card game SET. This was organized through UCSD AWM’s Graduate-Undergraduate Learning Program (GULP). The students gave a presentation at the end of the quarter. |
| Fall 2015 | Math 140A: Real Analysis |
| Spring 2015 | Math 200C: Graduate Algebra |
| Winter 2014 | Math 200B: Graduate Algebra |
| Fall 2014 | Math 200A: Graduate Algebra |
| Summer 2014 | Math 20C: Calculus for Science and Engineering III |
| Spring 2014 | Math 142B: Introduction to Analysis II Sections A01 and A02 |
| Winter 2013 | Math 142A: Introduction to Analysis I Sections A01 and A02 |
| Fall 2013 | Math 109: Mathematical Reasoning Sections B01 and B02 |
| Summer 2013 | Math 20F: Linear Algebra |
| Spring 2013 | Math 20D: Differential Equations Sections B03, B04, B05, and B06 |
| Winter 2013 | Math 20F: Linear Algebra Sections A05, A06, A07, and A08 |
| Fall 2012 | Math 31AH: Honors Linear Algebra Sections A01 and A02 |
| Summer 2012 | Math 20B: Calculus for Science and Engineering II |
| Winter 2012 | Math 20B: Calculus for Science and Engineering II Sections A03 and A04 |
| Fall 2011 | Math 10A: Calculus I Sections C01 and C02 |
SIR THOMAS MORE: Why not be a teacher? You’d be a fine teacher, perhaps a great one.
― A Man for All Seasons, Robert Bolt
RICHARD RICH: If I was, who would know it?
SIR THOMAS MORE: You; your pupils; your friends; God. Not a bad public, that.