Liang Ze Wong

I am currently a research scientist at the Institute of High Performance Computing in Singapore, working on psychometrics, causal learning and graph embeddings.

From Fall 2022, I am also an Adjunct Professor at the NUS Business School, teaching Foundations of Business Analytics for Masters of Science in Business Analytics (MSBA) students.

I received my PhD in Mathematics from the University of Washington, Seattle. My advisor was James Zhang.

My academic research interests are in category theory, homotopy theory and non-commutative algebra. Specifically: Grothendieck fibrations, enriched category theory, Hopf algebras and cubical sets.

I used to write simple snippets of code for this site, mostly in Python/Sage.

History

• 2019 - Present: Institute of High Performance Computing, Singapore
• 2014 - 2019: University of Washington, Seattle
• 2012 - 2014: Institute for Infocomm Research, Singapore
• Fall 2010: Budapest Semesters in Math
• 2009 - 2012: Cornell University

Workshops and Seminars

I had the privilege of participating in the following meetings:

• MIT Talbot Workshop 2018
• AMS Mathematics Research Community in Homotopy Type Theory
• Kan Extension Seminar II [blog post, long slides, short slides]

Papers and talks

2020

• Cubes with connections from algebraic weak factorization systems
  with Chris Kapulkin
  [slides for Western Topology Seminar][TeX]

2019

• Minimal Schemas for a Category
  [draft] [poster for ACT 2019]

• Smash Products for Non-cartesian Internal Prestacks
  [arXiv]

• The Grothendieck construction in enriched, internal and $\infty$-category theory
  [PhD thesis] [slides]

• A co-reflection of cubical sets into simplicial sets, with applications to model structures
  with Chris Kapulkin and Zachery Lindsey
  [arXiv] [slides] [New York Journal of Mathematics, 25 (2019), 627-641]

• The enriched Grothendieck construction
  with Jonathan Beardsley
  [arXiv] [slides 1, 2, 3] [Advances in Mathematics, 344 (2019), 234-261]

• The Operadic Nerve, Relative Nerve, and the Grothendieck Construction
  with Jonathan Beardsley
  [arXiv] [slides] [Theory and Applications of Categories, 34 (2019), 349-374]

Older

• Weak Equivalences between Categories of Models of Type Theory
  with Simon Cho, Cory Knapp and Clive Newstead
  [slides]

• Noncommutative geometry of homogenized quantum $\mathfrak{sl}(2,\mathbb{C})$
  with Alex Chirvasitu and S. Paul Smith
  [arXiv] [Pacific Journal of Mathematics 292 (2018), no. 2, 305-354]

• Imputing Missing Values in Sensor Networks using Sparse Data Representations
  with Huiling Chen, Shaowei Lin and Daniel C.L. Chen
  [MSWiM 2014]

• An Ordinal Potential Function for Network Selection in Heterogeneous Wireless Networks
  with Tony Q.S. Quek and Michael Padilla
  [ICASSP 2014]

• Irredundant Generating Sets of Finite Nilpotent Groups
  [Senior thesis] (advised by R. Keith Dennis)