Jiahui (Kent) Huang's webpage

I am a PhD student at the University of Waterloo under Prof. Matthew Satriano.
You can call me by my English name Kent. My last name is pronounced the same as the Spanish "Juan".
Email: j346huan@uwaterloo.ca
Office hours: MC5331 Thurs 1500-1630


Talks
Arc-Floer conjecture for isolated homogeneous singularities, Ontario Graduate Mathematics Conference, June 2024. slides
Equivariant Segre and Verlinde invariants for Quot schemes, Algebraic geometry and moduli seminar, ETH Zurich, January 2023. part 1 by Dr. Bojko, pdf


Publications
Jiahui Huang, David McKinnon, and Matthew Satriano. What fraction of an Sn-orbit can lie on a hyperplane?. Linear Algebra and Its Applications, 613C (2021) pp. 1-23. Arxiv


Preprints
Arkadij Bojko, Jiahui Huang. Equivariant Segre and Verlinde invariants for Quot schemes. (2023) Arxiv.


Notes
Supplementary notes for PMATH 464, May 2024. pdf(version 2025.5.21)
Non-reductive GIT, K-stability, and stacks, January 2024. pdf
Virtual fundamental classes, September 2023. pdf
P=W conjecture and Bridgeland stability, July 2023. pdf
Grobner basis, April 2021. pdf


Code
Here I proudly showcase my DRP mentee Emily Wang's notes and code on plane curve singularities. preview download.
A Lean code proving Fermat's criteria for sums of squares. github
Code for equivariant integration on quot schemes of \CC^2 and \CC^4. download (Based on box counting by Henry Liu.)


Notes for informal seminar talks