Department of Mathematics

West Chester University

Mathematics Information
Office: Room 101
25 University Avenue
West Chester, PA 19383
Phone (610) 436-2440
Fax (610) 738-0578
Email: Department Chair


Lin Tan

Professor

Contact Information:

Office: UNA 117
Phone: 610-436-3455
Fax: 610-738-0578
Email: ltan@wcupa.edu

Education:

  • Ph.D. (Mathematics) University of California, Los Angeles, 1986
  • M.A. (Mathematics) University of California, Los Angeles, 1982
  • M.S. Zhejian University, 1981
  • B.A. Zhejian University, 1979

Research Interests:

  • Algebraic groups
  • Number theory
  • Combinatorics
  • Geometry

Professional Experience:

  • Department of Mathematics, West Chester University. West Chester, Pennsylvania.
    • Professor of Mathematics. (1997 – )
    • Associate Professor of Mathematics. (1989 – 1997)
  • Department of Mathematics, Indiana University, Bloomington, Indiana. Assistant Professor of Mathematics. (1986-1989)
  • Department of Mathematics, University of California at Los Angeles (UCLA), Los Angeles, California. Instructor (June 1986 ─ August 1986)
  • Department of Mathematics, University of California at Los Angeles (UCLA), Los Angeles, California. Teaching assistant and research assistant. ( 1982 ─ 1986)

Selected Publications:

  • On the fixed points of symmetric product mappings, M.S. Thesis, Zhejiang University, 1982.
  • On the cyclicity of G-modules, research report, Department of Mathematics, UCLA, 1985.
  • The invariant theory of unipotent subgroups of reductive algebraic groups, Ph.D. dissertation, UCLA, 1986.
  • On the Popov-Pommerening conjecture for the groups of type G2, Algebras, Groups and Geometries, vol. 5, no. 4 (1988) 421-432.
  • An algorithm for explicit generators of the invariants of the basic Ga-actions, Communications in Algebra, vol. 17, no. 3 (1989) 565-572.
  • On the Popov-Pommerening conjecture for the groups of type An, Proceedings of the American Mathematical Society, vol. 106, no. 3 (1989) 611-616.
  • Some recent development in the Popov-Pommerening Conjecture, Proceedings of the International Conference on Group Actions, Canadian Mathematical Society Conference Proceedings, vol. 10 (1989) 207-220.
  • Some determinantal identities and the big cells, Advances in Mathematics, vol. 101, no. 1 (1993) 1-9.
  • Signs in the Laplace expansions and the parity of the distinguished representatives, Discrete Mathematics, vol. 131 (1994) 287-299.
  • An Introduction to Invariant Theory, Volume I. Zhejiang University Press, 1994.
  • On the distinguished coset representatives of the parabolic subgroups in finite Coxeter groups, Communications in Algebra, vol. 22, no. 3 (1994) 1049-1061.
  • On a theorem of Bell-Campbell-Hughes, Communications in Algebra, vol. 23, no. 5 (1995) 1927-1930.
  • The group of rational points on the unit circle, Mathematics Magazine, vol. 69, no. 3 (1996) 163-171.
  • Proof Without Words: Eisenstein’s Duplication Formula 2csc (2θ) = tan θ+ cot θ, Mathematics Magazine, vol. 71, no. 3 (1998), 207.
  • Notes on the Gamma Function. Zhejiang University Press, 2001. A geodesic between Hilbert’s Basis Theorem and Gordan’s Lemma, Northeastern Mathematics Journal, 2002.
  • Some new identities in Fibonacci Numbers, in preparation.
  • Notes on the Gamma Function. Second edition, in preparation.
  • Combinatorics Through Generating Functions. In preparation.

Selected Talks:

  • West Chester University Mathematics Colloquium, May 5, 2016: "The Postage Stamp Problem" Revisited.
  • West Chester University Mathematics Colloquium, November 30th, 2011: The Solution Structure of Certain Type of Multiple-Choice Problems.
  • West Chester University Mathematics Colloquium, October 8th, 2008: What Are Elementary Functions?
  • West Chester University Mathematics Colloquium, February 27th, 2008: Variations on a Theme by Moser.
  • West Chester University Mathematics Colloquium,March 28th, 2007: An Mat 103 in China.

Awards:

  • Carl B. Allendoefer Prize by the Mathematical Association of America, 1997.