Education

Employment

Research Interests

  • Commutative Algebra
  • Algebraic Combinatorics

Research

ORCID iD iconorcid / arXiv iconarXiv / MR iconMathSciNet
  1. Generalized binomial edge ideals of complete $r$-partite graphs (with Guangjun Zhu), preprint.
  2. Powers of generalized binomial edge ideals of path graphs (with Guangjun Zhu), preprint.
  3. Generalized binomial edge ideals of bipartite graphs (with Guangjun Zhu), preprint.
  4. Regularities and multiplicities of Veronese type algebras (with Kuei-Nuan Lin), preprint.
  5. Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams (with Kuei-Nuan Lin), J. Algebraic Combin., 57 (2023), 1073–1101.
  6. Symbolic powers and free resolutions of generalized star configurations of hypersurfaces (with Kuei-Nuan Lin), Michigan Math. J., 73 (2023), 33-66.
  7. Regularity of powers of (parity) binomial edge ideals (with Guangjun Zhu), J. Algebraic Combin., 57 (2023), 75–100.
  8. Blow-up algebras of secant varieties of rational normal scrolls (with Kuei-Nuan Lin), Collectanea Mathematica, 74 (2023), 247–278.
  9. Fiber cones of rational normal scrolls are Cohen-Macaulay (with Kuei-Nuan Lin), J. Algebraic Combin., 56 (2022), 547–563.
  10. Symbolic powers of generalized star configurations of hypersurfaces (with Kuei-Nuan Lin), J. Algebra 593 (2022), 193-216.
  11. On the conjecture of Vasconcelos for Artinian almost complete intersection monomial ideals (with Kuei-Nuan Lin), Nagoya Math. J. 243 (2021), 263-277.
  12. Generalized Newton complementary duals of monomial ideals (with Katie Ansaldi and Kuei-Nuan Lin), J. Algebra Appl. 20 (2021), 2150021.
  13. $a_i$-invariants of powers of ideals (with Shi-Xin Tian), Journal of University of Science and Technology of China, 50 (2020), 349-359.
  14. Strong shellability of simplicial complexes (with Jin Guo and Tongsuo Wu), J. Korean Math. Soc. 56 (2019), 1613-1639.
  15. Koszul blowup algebras associated to three-dimensional Ferrers diagrams (with Kuei-Nuan Lin), J. Algebra 514 (2018), 219-253.
  16. Edgewise strongly shellable clutters (with Jin Guo and Tongsuo Wu), J. Algebra Appl. 17 (2018), 1850018.
  17. Stanley depth and Stanley support-regularity of monomial ideals, Collect. Math. 67 (2016), 227-246.
  18. Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters, J. Commut. Algebra 7 (2015), 423-445.
  19. On a class of squarefree monomial ideals of linear type, J. Commut. Algebra 7 (2015), 125-140.
  20. Stanley depth of weakly 0-decomposable ideals, Arch. Math. (Basel) 104 (2015), 3-9.
  21. When will the Stanley depth increase, Proc. Amer. Math. Soc. 141 (2013), 2265-2274.
  22. On a conjecture of Stanley depth of squarefree Veronese ideals (with M. Ge and J. Lin), Comm. Algebra 40 (2012), 2720-2731.
  23. On the Stanley depth of squarefree Veronese ideals (with M. Keller, N. Streib and S. Young), J. Algebraic Combin. 33 (2011), 313-324.
  24. Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three Comm. Algebra 39 (2011), 1922-1940.
  25. Stanley depth of complete intersection monomial ideals and upper-discrete partitions, J. Algebra 321 (2009), 1285-1292.
  26. Gevrey microregularity of solutions for fully nonlinear partial differential equations (with H. Chen), J. Math. (Wuhan) 22 (2002).

Additional Research Notes

Academic Talks

Professional Services

Award

  • "Kun Xue Shou Wang" Award for Excellent Teaching (“困学守望”优秀教学奖), USTC, 2021
  • "Kun Xue Shou Wang" Award for Excellent Teaching (“困学守望”优秀教学奖), USTC, 2015
  • K.C. Wong Award for Teachers, Second Prize (王宽诚育才奖二等奖), USTC, 2015
  • Zhang Zongzhi Award for Young Teachers (张宗植青年教师奖), USTC, 2011
  • Gerald R. MacLane Memorial Award, Purdue University, 2003

Teaching

University of Science and Technology of China

  • Spring 2024: Linear Algebra (B1)
  • Fall 2023: Mathematical Analysis (B1)
  • Spring 2023: Linear Algebra (B1)
  • Fall 2022: Mathematical Analysis (B1)
  • Spring 2022: Algebra II: Abstract Algebra
  • Fall 2021: Linear Algebra (B1)
  • Spring 2021: Linear Algebra (B1)
  • Fall 2020: Mathematical Analysis (B1)
  • Spring 2020: Algebra II: Abstract Algebra
  • Fall 2019: Mathematical Analysis (B1)
  • Spring 2019: Linear Algebra (B1)
  • Fall 2018: Algebra I: Introduction to Algebra
  • Spring 2018: Algebra II: Abstract Algebra
  • Fall 2017: One Variable Calculus
  • Spring 2017: Linear Algebra (B1)
  • Fall 2016: One Variable Calculus
  • Spring 2016: Algebra III: Advanced Course in Algebra
  • Fall 2015: Algebra I: Introduction to Algebra
  • Spring 2015: Multivariable Calculus
  • Fall 2014: One Variable Calculus
  • Spring 2014: Multivariable Calculus
  • Fall 2013: Algebra I: Introduction to Algebra
  • Spring 2013: Linear Algebra (B1)
  • Fall 2012: One Variable Calculus
  • Spring 2011: Selected Topics in Algebra, I (Commutative and Combinatorial Algebra)
  • Fall 2011: One Variable Calculus
  • Spring 2011: Selected Topics in Algebra, II (Commutative Algebra)
  • Fall 2010: Linear Algebra (B1)
  • Spring 2010: Linear Algebra (B1)

Purdue University

  • Spring 2009: Introduction to Analysis, I
  • Spring 2008: Introduction to Analysis, I
  • Spring 2007: Introduction to Analysis, I
  • Fall 2006: Algebra and Trigonometry, I

Miscellaneous

Contact Details

Yi-Huang Shen
Office 13-01, School of Mathematical Sciences
University of Science and Technology of China
Hefei, Anhui, 230026
P.R. China

Advising