Curriculum Vitae
Employment
- 2026 ~ current: Harvard T.H. Chan School of Public Health
- Postdoctoral research fellow in Department of Biostatistics, mentored by Junwei Lu
- Work primarily concerns AI-assisted research in mathematics
Education
- 2021 ~ 2026: Massachusetts Institute of Technology
- Ph.D. in mathematics, advised by Alexander Postnikov
- Thesis title: The Combinatorics of Triangulations of Products of Two Simplices
- 2017 ~ 2021: Massachusetts Institute of Technology
- Undergraduate, major in mathematics and computer science, minor in linguistics
Research Interests
Algebraic and geometric combinatorics, especially combinatorics related to matroids and polytopes
Publications and Preprints
(In reverse chronological order)
- Unimodality of Independence Polynomials for Sufficiently Large Forests, Ethan X. Fang, Junwei Lu, Eran Nevo, Yuan Yao, Hailun Zheng (+AI)
- Binary X-rays of doubly stochastic matrices, Bangzheng Li, Yuewei Liu, Yuan Yao
- Subdivisions of root polytopes, generalized tropical oriented matroids, and generalized matching ensembles, Tianyu Jiang, Yuan Yao, Qingyue Yu, Chenyi Zhang
- Linkage Axioms for Generic Tropical Oriented Matroids, Yuan Yao
- Fine Mixed Subdivisions of a Dilated Triangle, Yuan Yao, Fedir Yudin
- Irreducibility of Generalized Permutohedra, Supermodular Functions, and Balanced Multisets, Milan Haiman, Yuan Yao
- Spectral conditions for spherical two-distance sets, Iliyas Noman, Yuan Yao
- Arrangements of Simplices in Fine Mixed Subdivisions, Derek Liu, Yuan Yao
- Spherical two-distance sets and eigenvalues of signed graphs, Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao
- Equiangular lines with a fixed angle, Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao