Jiahui Huang's webpage


Email: j346huan@uwaterloo.ca
Office: MC5331

I am a PhD student at the University of Waterloo under Matthew Satriano. Previous to this, I was a graduate student at ETH Zurich, under Arkadij Bojko.
I study algebraic geometry and motivic integration, and focus mainly on the applications of arc spaces to singularity theory. Recently, I am working on Batyrev's conjecture on non-negativity of stirngy Hodge numbers.


Publications

Arkadij Bojko, Jiahui Huang. Equivariant Segre and Verlinde invariants for Quot schemes. Moduli, 2 (2025) e14.
Jiahui Huang, David McKinnon, and Matthew Satriano. What fraction of an Sn-orbit can lie on a hyperplane?. Linear Algebra and Its Applications, 613 (2021) 1-23.


Preprints

Jiahui Huang, Matthew Satriano. The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers. (2026)
Jiahui Huang, Matthew Satriano, Jeremy Usatine. A cohomological interpretation for stringy Hodge numbers. (2026)
Eduardo de Lorenzo Poza, Jiahui Huang. Contact loci of semihomogeneous singularities. (2025).


The Women in Mathematics Directed Reading Program (DRP)
De Rham Cohomology by Ilmie Abeywardane. pdf ppt.
Plane Curve Singularities by Emily Wang. pdf code.
Morse Theory by Abdul Haseeb and Sara Nayar pdf.


Notes
Notes for guest lecture MATH 245, June 2026. pdf
Notes for MATH 127, Fall 2025. pdf
Notes for guest lecture MATH 145, October 2025. pdf
Vertex algebras, MMP, and Hodge modules. Centre Henri Lebesgue, Rennes, June 2025. pdf
Notes for guest lecture MATH 136, March 2025. pdf
Supplementary notes for PMATH 464, May 2025. pdf
Non-reductive GIT, K-stability, and stacks. Issac Newton Institute, Cambridge, January 2024. pdf
Virtual fundamental classes, September 2023. pdf
P=W conjecture and Bridgeland stability. SCMS, Shanghai, July 2023. pdf
Grobner basis, April 2021. pdf


Github
Code for equivariant integration on quot schemes of \CC^2 and \CC^4. code (Based on box counting code by Henry Liu.)