BIMSA > Beihui Yuan
Assistant Professor Beihui Yuan

Group: Algebraic Geometry

Office: A3-4-210

Email: beihuiyuan@bimsa.cn

Research Field: Commutative Algebra, Algebraic Geometry

Biography

Beihui Yuan gained her Ph.D. degree from Cornell University in 2021. She has joined BIMSA in 2023. Her current research interests include application of commutative algebra in pure and applied mathematics problems.

Publication

  • [1] Artan Sheshmani, Xiaopeng Xia and Beihui Yuan, On the normality of commuting scheme for general linear Lie algebra, arXiv:2505.13013 (2025)
  • [2] T. Lin, J. Hu, Q. Wu and B. Yuan, Conditions for splines to admit a finite element construction, accepted by Mathematics of Computation (2025)
  • [3] A. Mantzaflaris, B. Mourrain, N. Villamizar and B. Yuan, An algebraic framework for geometrically continuous splines, accepted by Mathematics of Computation (2025)
  • [4] Michael DiPasquale and Beihui Yuan, Planar 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] H. Schenck, M. Stillman and B. Yuan, A new bound for smooth spline spaces, Journal of Combinatorial Algebra, 4(4), 359-367 (2020)
  • [9] 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)
  • [10] J Hu, T Lin, Q Wu, B Yuan, The condition for constructing a finite element from a superspline, arXiv, 2407.03680 (2024)
  • [11] B Yuan, Applications of Commutative Algebra to Spline Theory and String Theory, Cornell University (2021)
  • [12] H Schenck, M Stillman, B Yuan, Calabi-Yau threefolds in $\mathbb{P}^n$ and Gorenstein rings, arXiv, 2011.10871 (2020)
  • [13] B Yuan, ME Stillman, A counter-example to the Schenck-Stiller “2r+ 1” conjecture, Advances in Applied Mathematics, 110, 33-41 (2019)
  • [14] B Yuan, An upper bound on the first homology of spline complexes, arXiv, 1907.10811 (2019)

 

Update Time: 2025-10-15 17:00:08