Yuan Yao (Yannick)

Curriculum Vitae

Education

• 2021 ~ current: Massachusetts Institute of Technology
  • Ph.D. in mathematics, advised by Alexander Postnikov
• 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 polytopes

Publications and Preprints

(In reverse chronological order)

• Linkage Axioms for Generic Tropical Oriented Matroids, Yuan Yao
  • arXiv:2506.11265
• Fine Mixed Subdivisions of a Dilated Triangle, Yuan Yao, Fedir Yudin
  • arXiv:2402.13342
• Irreducibility of Generalized Permutohedra, Supermodular Functions, and Balanced Multisets, Milan Haiman, Yuan Yao
  • arXiv:2303.05751
• Spectral conditions for spherical two-distance sets, Iliyas Noman, Yuan Yao
  • Discrete Mathematics, Volume 349, Issue 3, March 2026 (Journal version)
  • arXiv:2211.12582
• Arrangements of Simplices in Fine Mixed Subdivisions, Derek Liu, Yuan Yao
  • PRIMES-USA (2021-22)
• Spherical two-distance sets and eigenvalues of signed graphs, Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao
  • Combinatorica, Volume 43, Issue 2, April 2023 (Journal version)
  • arXiv:2006.06633
• Equiangular lines with a fixed angle, Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao
  • Annals of Mathematics, Volume 194, Issue 3, November 2021 (Journal version)
  • arXiv:1907.12466