Winston Cheong

Research interests

My current focus is on $A_\infty$ -structures.

Other interests include:

Mirror symmetry
Langlands program
Formalization of mathematics, e.g.:
- Perfectoid spaces (1910.12320)
- $\infty$ -categorical Yoneda lemma (2309.08340)
Using machine learning to aid in discovering new mathematics
Physical Mathematics

Former interests include:

Ramanujan-style number theory (e.g. partition function, mock theta functions / mock modular forms),
the modularity theorem,
(Monstrous/Mathieu/Umbral) moonshine,
Quantum topology

Winston Cheong, Alexander Doser, McKinley Gray, and Stephen F. Sawin. "Relationship of the Hennings and Witten-Reshetikhin-Turaev invariants for higher rank quantum groups." J. Knot Theory and Ramifications 2023 32:07. https://doi.org/10.1142/S0218216523500487 Preprint version: arXiv:1701.01423
Daniel Bittner, Long Cheong, Dante Gates, and Hieu Nguyen. "New Approximations for the Area of the Mandelbrot Set." Involve, a Journal of Mathematics 10, no. 4 (March 7, 2017): 555–572. https://doi.org/10.2140/involve.2017.10.555. Preprint version: arXiv:1410.1212
Hieu D. Nguyen and Long G. Cheong. "New Convolution Identities for Hypergeometric Bernoulli Polynomials." Journal of Number Theory 137 (April 1, 2014): 201–221. https://doi.org/10.1016/j.jnt.2013.11.008. Preprint version: arXiv:1401.2970

2016 JMM poster session - "Relationship of the Hennings and Chern-Simons Invariant for Higher Rank Quantum Groups"
2015 Oct 26 - "The Hennings and Chern-Simons Witten Three-Manifold Invariants" (Rowan Mathematics Department Colloquium Series)
2015 Summer - "REU Topic: Invariants of 3-manifolds" slides
2014 Rowan STEM Symposium - Poster presentation "Converging on the Area of the Mandelbrot Set"
2013 Nov 20 - "Converging on the Area of the Mandelbrot set" (Rowan Mathematics Department Colloquium Series, joint presentation with Daniel Bittner) slides