Carrie E. Finch, Ph.D.

I am an Assistant Professor in the Mathematics Department at Washington and Lee University.
This page has information about my research and scholarly activities.

   Washington and Lee University
Mathematics Department
Robinson Hall
Lexington, VA 24450

Robinson 24
ph.: 540-458-8209
 finchc@wlu.edu


My research interests lie in Number Theory. I especially like to work with problems concerning the irreducibility of polynomials and questions regarding coverings of the integers.
  1. "Sequences of {0,1}-polynomials with exponents in arithmetic progression". (in preparation).

  2. "On the irreducibility of polynomials with distinct cyclotomic factors" with Lenny Jones. Journal of Combinatorics and Number Theory (to appear).

  3. "On the irreduicibility of certain polynomials with coefficients in arithmetic progression" with N. Saradha. Acta Arithmetica (to appear).

  4. "T.N. Shorey's influence in the theory of irreducible polynomials" with Michael Filaseta and J Leidy. Diophantine Equations: Proceedings of the Diophantine Conference in Honor of T.N. Shorey, Narosa Publishing House, New Delhi, India (2008). (preprint)

  5. "On powers associated with Sierpinski numbers, Riesel numbers and Polignac's conjecture" with Michael Filaseta and Mark Kozek. Journal of Number Theory 128 (2008), no. 7, 1916-1940. (preprint)

  6. "On three questions concerning {0,1}-polynomials" with Michael Filaseta and Charles Nicol. Journal de theorie de nombres de Bordeaux 18 (2006), no. 2, 357-370. (preprint)

  7. "On the irreducibility of {-1,0,1}-quadrinomials" with Lenny Jones. Integers: Electronic Journal of Combinatorial Number Theory 6 (2006), A16, 4 pp. (electronic)

  8. "Nonabelian groups with perfect order subsets" with Lenny Jones. JP Journal of Algebra, Number Theory and Applications 3 (2003), no. 1, 13-26 and 4 (2004), no. 2, 413-416.

  9. "Finite groups that have exactly n elements of order n" with Richard Foote, Lenny Jones and Don Spickler. Mathematics Magazine 75 (2002), 215-219.

  10. "A curious connection between Fermat numbers and finite groups" with Lenny Jones. American Mathematical Monthly 109 (2002), no. 6, 517-524.


If you'd like to read my entire professional history, here's my curriculum vita.