I am currently a Harry Bateman Postdoctoral Scholar Teaching
Fellow at California Institute of Technology. I was a postdoc at
Virginia Tech from 2022 to 2024. I did my PhD at Rutgers University
from 2017 to 2022. My thesis was advised by Anders Buch.
While I am broadly interested in combinatorial algebraic geometry,
my research has centered around the geometry of (generalized)
flag varieties, and in particular, quantum Schubert calculus and
characterizations of geometric properties via the combinatorics of
root systems.
My email address is weihong@caltech.edu. Please note that I no
longer have access to my old vt.edu or math.rutgers email.
Conference and Seminar Organization
Currently, I co-organize the Caltech/USC Algebra & Geometry Seminar with Yifeng Huang and Wenyuan Li.
In Jan 2025, I co-organized the Winter school on enumerative geometry and mirror symmetry with Tony Yue Yu, Thorgal Hinaul, and Shaowu Zhang.
In spring 2024, I co-organized the Algebra Seminar at Virginia Tech with Irit Huq-Kuruvilla and Travis Morrison.
In spring 2021, I co-organized the (virtual) Graduate Student/Postdoc Seminar at the ICERM Combinatorial Algebraic Geomerty Semester Program.
Publications and Preprints
Toda-type presentations for the quantum K theory of partial flag varieties [joint with Kamyar Amini, Irit Huq-Kuruvilla, Leonardo Mihalcea, and Daniel Orr].
Schubert defects in Lagrangian Grassmannian [joint with Wei Gu, Leonardo Mihalcea, Eric Sharpe, Hao Zhang, and Hao Zou].
Stringy Chow groups and weighted blow ups [joint with Qiangru Kuang, Yeqin Liu, and Rachel Webb].
Quantum K-thery of IG(2,2n) [joint with Vladimiro Benedetti and Nicolas Perrin], International Mathematics Research Notices (IMRN) (2024).
Quantum K Whitney relations for partial flag varieties [joint with Wei Gu, Leonardo Mihalcea, Eric Sharpe, Hao Zhang, and Hao Zou].
Appendix to Quantum K-theory Chevalley formulas in the parabolic case [joint with Takafumi Kouno, Cristian Lenart, Satoshi Naito, and Daisuke Sagaki], Journal of Algebra (2024).
Quantum K theory rings of partial flag manifolds [joint with Wei Gu, Leonardo Mihalcea, Eric Sharpe, Hao Zhang, and Hao Zou], Journal of Geometry and Physics (2024).
The isomorphism problem for Cominuscule Schubert varieties [joint with Edward Richmond and Mihail Tarigradschi], Selecta Mathematica (2024).
The isomorphism problem for Grassmannian Schubert varieties [joint with Mihail Tarigradschi], Journal of Algebra (2023).
Quantum K-theory of incidence varieties (talk videos part 1, part 2; poster), European Journal of Mathematics (2024).
On an equivalence of divisors on M_{0,n} bar from Gromov--Witten theory and conformal blocks [joint with Linda Chen, Angela Gibney, Lauren Cranton Heller, Elana Kalashnikov, and Hannah Larson], Transformation Groups (2022).
Conference Proceedings
K-theoretic Gromov--Witten invariants of line degrees on flag varieties [joint with Anders Buch and Linda Chen], International Journal of Modern Physics A (IJMPA) (2024).
The isomorphism problem for Cominuscule Schubert varieties [joint with Edward Richmond and Mihail Tarigradschi], Proceedings of the 35th Conference on Formal Power Series and Algebraic Combinatorics (Davis), Séminaire Lotharingien de Combinatoire 89B (2023), Article #52, 12pp.
Seminar and Conference Talks
[May 26-30, 2025] International Workshop on Schubert Calculus, Representation Theory, and Spectral Theory, Chern Institute of Mathematics, Nankai University, Tianjin, China.
[May 16-18] Special Session on Topics in Algebraic Geometry, AWM Research Symposium, the University of Wisconsin-Madison in Madison, WI.
[Apr 18] Algebraic Geometry Seminar, University of California, San Diego, CA.
[Mar 29-30, 2025] AMS Special Session on Combinatorics and Lie Theory, University of Kansas, Lawrence, KS.
[Sept 16, 2024] Combinatorics Seminar, University of Southern California, Los Angeles, CA.
[Apr 1, 2024] Combinatorics Seminar, Washington University in St. Louis, St. Louis, MO.
[Mar 3, 2024] Randomness and Lie-theoretic Structures, University of Virginia, Charlottesville, VA.
[Jan 3-6, 2024] AMS Special Session on Combinatorial Insights into Algebraic Geometry, the Joint Mathematics Meetings, San Francisco, CA.
[Dec 4, 2023] Algebra Seminar, University of Georgia, Athens, GA.
[Sept 9-10, 2023] AMS Sepecial Session on Representation theory and flag varieties, the University at Buffalo (SUNY), Buffalo, NY.
[Sept 7, 2023] Algebra/Topology Seminar, the University at Albany (SUNY), Albany, NY.
[Sept 1,2023] Algebra Seminar, Virginia Tech, Blacksburg, VA.
[Jun 21, 2023] Schubert conference, UIUC, Urbana, IL.
[Jun 5, 2023] CMS special session on Equivariant Schubert calculus and beyond, University of Ottawa, Ottawa, Canada.
[May 22-26, 2023] Gauged Linear Sigma Models @30, Simons Center for Geometry and Physics, Stony Brook, NY.
[Apr 28-30, 2023] Women in Algebra and Combinatorics Northeast Conference Celebrating the Association for Women in Mathematics: 50 Years and Counting, the University at Albany (SUNY), Albany, NY.
[Mar 21, 2023] Discrete Math Seminar, University of British Columbia, Vancouver, Canada.
[Dec 12-16, 2022] Geometric Representation Theory and Quantum Topology workshop, Paris Cité University, Paris, France.
[Nov 21, 2022] Algebraic Geometry Seminar, University of British Columbia, Vancouver, Canada.
[Oct 5, 2022] MIT-Harvard-MSR Combinatorics Seminar, MIT, Boston, MA.
[Oct 2, 2022] AMS Special Session on Combinatorial Algebraic Geometry, University of Massachusetts-Amherst, Amherst, MA.
[Sept 23, 2022] Algebra Seminar, Virginia Tech, Blacksburg, VA.
[Mar 14, 2022] Schubert Seminar (virtual).
[Feb 1, 2022] Seminars AG, Versailles Saint-Quentin-en-Yvelines University, Versailles, France (virtual).
[Jan 26, 2022] Algebra Seminar, Rutgers University, New Brunswick, NJ (virtual).
[Mar 23, 2021] Geomerty and Combinatorics from Root Systems, ICERM, Providence, RI (virtual).
[Feb 17, 2021] Sage/Oscar Days for Combinatorial Algebraic Geometry, ICERM, Providence, RI (virtual).
[Dec 14, 2020] American Graduate Student Algebraic Geometry Seminar, Zoom.
Teaching
[Fall 2024 - Spring 2025] Algebraic Geometry
[Spring 2024] Modern Algebra
[Fall 2023] Modern Algebra
[Spring 2023] Introduction to Linear Algebra
[Summer 2020] Introductory Linear Algebra
Mentoring
In summer 2024, I was a mentor at PKU Algebra and Combinatorics Experience (PACE), which is an REU program at Peking University organized by Yibo Gao.
In summer 2018, I worked as a graduate mentor for an undergraduate project at DIMACS REU at Rutgers University.
Outreach
In spring 2023, I gave a joint lecture on the Pólya enumeration theorem with Yifeng Huang at the Blacksburg Math Circle.
In 2016, I gave a lecture on the classification of closed surfaces at CSplash, and annual event for high schools students at Courant Institute.
This website was created using the template by Yen-Chia Hsu.