Jiahui (Kent) Huang
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.
Research Interest
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 stringy Hodge numbers.
CV
Publications and preprints
Publications
- Equivariant Segre and Verlinde invariants for Quot schemes Moduli, 2 (2025).
- What fraction of an
S_n-orbit can lie on a hyperplane? Linear Algebra and Its Applications, 613 (2021).
Preprints
Talks
- Contact Loci of Semihomogeneous Singularities Florida State University, September 2025.
- Arc-Floer conjecture for homogeneous singularities Ontario Graduate Mathematics Conference, June 2024.
- Arc-Floer conjecture for double point singularities CMS Summer Meeting, June 2024.
- Equivariant Segre and Verlinde invariants for Quot schemes ETH Zurich, January 2023.
Informal seminar talks
Teaching
Sessional teaching
MATH 127 Calculus 1 for Sciences Fall 2025.
Guest lectures
- Guest lecture MATH 245 Linear Algebra 2 June 2026.
- Guest lecture MATH 145 Algebra October 2025.
- Guest lecture MATH 136 Linear Algebra 1 March 2025.
Notes
Course notes
- PMATH 965 Algebraic Stacks Fall 2026.
- PMATH 464 Algebraic Geometry May 2025.
Conference
- Vertex algebras, MMP, and Hodge modules Centre Henri Lebesgue, Rennes, June 2025.
- Non-reductive GIT, K-stability, and stacks Isaac Newton Institute, Cambridge, January 2024.
- P=W conjecture and Bridgeland stability SCMS, Shanghai, July 2023.
Classwork
- Virtual fundamental classes September 2023.
- Grobner basis April 2021.
Solutions
- Introduction to Commutative Algebra Atiyah–Macdonald.
- Algebraic Geometry Hartshorne.
DRP program
Mentees
- Ilmie Abeywardane De Rham Cohomology.
- Emily Wang Plane Curve Singularities.
- Abdul Haseeb and Sara Nayar Morse Theory.