Kuei-Nuan Lin, Ph.D.

Associate Professor, Mathematics
Office Phone
Office Location
Frable, 201H
Penn State Greater Allegheny, 4000 University Drive, McKeesport, PA 15132
    Biography

    Fall 2021

    On-Campus Office Hours:
    Mondays:  10:10 a.m. - 12:00 noon
    Wednesdays:  10:10 a.m. - 12:00 noon
    or by appointment


    I am an Associate Professor at Penn State Greater Allegheny and a graduate faculty at University Park. Before coming to Penn State, I was a Visiting Assistant Professor at Smith College and University of California, Riverside.

    Teaching Interest:  Mathematics 

    Area of Expertise: Mathematics 

     

    Research Interests

    My primary research focuses on commutative algebra and its connection to algebraic geometry and combinatorics. More specifically, I work on defining questions of blow-up algebras as well as various invariants of varieties. Applications of my research include coding theory, geometry modeling, chemical reaction networks, optimization problems, and permutation statics.

    Publications

    1. Symbolic Powers and Free Resolutions of Generalized Star Configurations of Hypersurfaces, with Y.-H. Shen, to appear Michigan Mathematical Journal. https://arxiv.org/abs/1912.04448

    2. On the Conjecture of Vasconcelos for Artinian Almost Complete Intersection Monomial Ideals, with Y.-H. Shen, Nagoya Mathematical Journal. https://arxiv.org/pdf/1902.03068.pdf.

    3. Multi-Rees Algebras and Toric Dynamical Systems, with D. Cox and G. Sosa, Proceedings of the American Mathematical Society, Vol. 147, No. 11 (2019) 4605-4616. http://www.ams.org/journals/.

    4. Edge Ideals of Oriented Graphs, with T. Hà, S. Morey, E. Reyes, and R. Villarreal, International Journal of Algebra and Computation Vol. 29, No. 3 (2019) 535–559. https://arxiv.org/pdf/1805.04167.pdf.

    5. Koszul Blow-up Algebras Associated to Three-dimensional Ferrers Diagrams, with Y.-H. Shen, Journal of Algebra, Vol. 514 (2018) 219-253. https://arxiv.org/pdf/1709.03251.pdf.

     

    Education

    Purdue University, Ph.D.

    Papers and Presentations

    1. AMS-Special Section, University of Cincinnati, Apr. 2021

    2. Department of Mathematical Colloquium, West Virginia University, Oct. 2020

    3. Department of Mathematical Colloquium, University of Nebraska, Mar. 2020

    4. Algebra Seminar, Iowa State University, Mar. 2020

    5. Department of Mathematical Colloquium, University of Vermont, Feb. 2020