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Publications and Preprints

Realizing modular data from centers of near-group categories, with Z. Yu.
Preprint: arXiv:2412.20763 (2024).

The Condensed Fiber Product and Zesting, with C. Delaney, C. Galindo, J. Plavnik and E. Rowell.
Preprint: arXiv:2410.09025 (2024).

Modular data of non-semisimple modular categories, with L. Chang, Q. Kolt and Z. Wang.
Preprint: arXiv:2404.09314 (2024).
To appear in International Journal of Mathematics

On near-group centers and super-modular categories, with E. Rowell and H. Solomon.
To appear in Contemporary Mathematics

G-crossed braided zesting, with C. Delaney, C. Galindo, J. Plavnik and E. Rowell.
Journal of the London Mathematical Society, 109 (2024), no. 1, e12816.

Modular tensor categories, subcategories, and Galois orbits, with J. Plavnik, A. Schopieray and Z. Yu.
Transformation Groups, (2023): 1-26.

From Torus Bundles to Particle-Hole Equivariantization, with X. Cui, P. Gustafson and Y. Qiu.
Letters in Mathematical Physics, 112.1 (2022): 1-19.

Higher central charges and Witt groups, with S.-H. Ng, E. Rowell and Y. Wang.
Advances in Mathematics, 404 (2022): 108388.

Modular categories with transitive Galois actions, with S.-H. Ng and Y. Wang.
Communications in Mathematical Physics, 390.3 (2022): 1271-1310.

Braided zesting and its applications, with C. Delaney, C. Galindo, J. Plavnik and E. Rowell.
Communications in Mathematical Physics, 386.1 (2021): 1-55.

Congruence Subgroups and Super-Modular Categories, with P. Bonderson, E. Rowell and Z. Wang.
Pacific Journal of Mathematics, 296.2 (2018): 257-270.

On classification of super-modular categories of rank 8, with P. Bruillard, J. Plavnik and E. Rowell.
Journal of Algebra and Its Applications, 20.01 (2021): 2140017.

Braid group representations from twisted tensor products of algebras, with P. Gustafson, A. Kimball and E. Rowell.
Peking Mathematical Journal, 3.2 (2020): 103-130.

Integral Metaplectic Modular Categories, with A. Deaton, P. Gustafson, L. Mavrakis, E. Rowell, S. Poltoratski, S. Timmerman, B. Warren.
Journal of Knot Theory and Its Ramifications, 29.05 (2020): 2050032.

Super-modular Categories, Thesis.

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Teaching

Instructor, University of Manitoba, Winnipeg, MB

• Fall 2025, MATH 1524: Mathematics for Management and Social Sciences

• Fall 2025, MATH 2720: Multivariable Calculus

Instructor, UCSB, Santa Barbara, CA

• Spring 2025, Math 108B: Linear Algebra 2

• Winter 2025, Math 6A: Vector Calculus 1

• Winter 2025, Math 4B: Differential Equations

• Fall 2024, Math 8: Transition to Higher Mathematics

• Fall 2024, Math 6A: Vector Calculus 1

• Spring 2024, Math 4B: Differential Equations

  [Lecture Notes], [Video Series]

• Winter 2024, Math 8: Transition to Higher Mathematics

  [Video Series] Notes adapted from Quyuan Lin, who previously taught this class.

• Winter 2024, Math 4B: Differential Equations

• Fall 2023, Math 6A: Vector Calculus 1

  [Lecture Notes], [Video Series]

Instructor, Purdue University, West Lafayette, IN

• Spring 2023, MA 266 Ordinary Differential Equations

• Fall 2022, MA 303 Differential Equations and PDE

  [Video Series]

• Spring 2022, MA 265 Linear Algebra

  [Lecture Notes], [Video Series]

• Fall 2021, MA 266 Ordinary Differential Equations

[Lecture Notes], [Video Series]

• Spring 2021, MA 266 Ordinary Differential Equations

[Video Series]

• Fall 2020, MA 266 Ordinary Differential Equations

  [Video Series]

Instructor, Texas A&M University, College Station, TX

• Spring 2018, M131 Calculus

Teaching Assistant

• Summer 2019, The Mathematics of Topological Quantum Computing, Research School on Quantum Symmetries, Universidad de los Andes, Bogotá

• Summer 2018, REU on Mathematics of Topological Quantum Computation at Texas A&M University

• Spring 2016, M152 Engineering Mathematics II at Texas A&M University

• Fall 2015, Fall 2016, Spring 2017, M151 Engineering Mathematics I at Texas A&M University