Biography

Education Experience

• 2014 - 2021 | Cornell University | Mathematics | Ph.D | (Supervisor: Mike Stillman, Hal Schenck)
• 2011 - 2014 | Tsinghua University | Mathematics | M.Sc. | (Supervisor: Stephen S.-T. Yau)
• 2005 - 2009 | Tsinghua University | Bachelor

Work Experience

• 2023 - -- | BIMSA | Assistant Professor
• 2021 - 2023 | Swansea University | Postdoc

Publication

• [1] T. Lin, J. Hu, Q. Wu and B. Yuan, The sharpness condition for constructing a finite element from a superspline, Mathematics of Computation (2025)
• [2] Artan Sheshmani, Xiaopeng Xia and Beihui Yuan, On the normality of commuting scheme for general linear Lie algebra, arXiv:2505.13013 (2025)
• [3] A. Mantzaflaris, B. Mourrain, N. Villamizar and B. Yuan, An algebraic framework for geometrically continuous splines, Mathematics of Computation (2025)
• [4] Michael DiPasquale and Beihui Yuan, Bivariate Splines on a Triangulation with a Single Totally Interior Edge, SIAM Journal on Applied Algebra and Geometry, 8(3), 686-712 (2024)
• [5] M Sirvent, T Sorokina, N Villamizar, B Yuan , Multivariate polynomial splines on generalized oranges, Journal of Approximation Theory, 299(2024)
• [6] K. Ranestad, M. Kapustka, G. Kapustka, H. Schenck, M. Stillman and B. Yuan, Quaternary quartic forms and Gorenstein rings, accepted by Memoirs of The American Mathematical Society (2024)
• [7] H. Schenck, M. Stillman and B. Yuan, Calabi-Yau threefolds in Pn and Gorenstein rings, Advances in Theoretical and Mathematical Physics, 26(3), 764-792 (2022)
• [8] B Yuan, Applications of Commutative Algebra to Spline Theory and String Theory, Cornell University (2021)
• [9] H. Schenck, M. Stillman and B. Yuan, A new bound for smooth spline spaces, Journal of Combinatorial Algebra, 4(4), 359-367 (2020)
• [10] H Schenck, M Stillman, B Yuan, Calabi-Yau threefolds in $\mathbb{P}^n$ and Gorenstein rings, arXiv, 2011.10871 (2020)
• [11] B Yuan, ME Stillman, A counter-example to the Schenck-Stiller “2r+ 1” conjecture, Advances in Applied Mathematics, 110, 33-41 (2019)
• [12] S. S.-T. Yau, B. Yuan and H. Zuo , On the polynomial sharp upper estimate conjecture in 7-dimensional simplex, Journal of number theory, 160, 254-286 (2016)