## Lin Tan

**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.*

### Grants/Awards

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