Carrie E. Finch, Ph.D.

I am an Associate 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 207
ph.: 540-458-8209

My research interests lie in Number Theory. I especially like to work with problems concerning the irreducibility of polynomials and questions regarding Sierpinski numbers using coverings of the integers. Below is a list of published papers; please be aware that these are mostly my copy of the papers. For the full article in published form, please check the appropriate journal.

  1. "Polygonal Sierpinski Riesel numbers" with Dan Baczkowski, Justin Eitner, Mark Kozek and Braedon Suminski. Journal of Integer Sequences 18 (2015), Article 15.8.1.

  2. "Perfect power Riesel numbers" with Lenny Jones. Journal of Number Theory 150 (2015), 41-46. (preprint)

  3. "Sierpinski and Carmichael numbers" with Bill Banks, Florian Luca, Carl Pomerance and Pante Stanica. Transactions of the American Mathematical Society 367 (2015), no. 1, 355-376. (preprint)

  4. "On classifying Laguerre polynomials which have Galois group the alternating group" with Pradipto Banjeree, Michael Filaseta and J Russell Leidy. Journal de theorie de nombres de Bordeaux 25 (2013), no. 1, 1-30. (preprint)

  5. "Nonlinear Sierpinski and Riesel numbers" with Joshua Harrington and Lenny Jones. Journal of Number Theory 133 (2013), 534-544. (preprint)

  6. "Sequences of {0,1}-polynomials with exponents in arithmetic progression." Mathematica Scandinavica 110 (2012), no. 1, 75-81. (preprint)

  7. "Lucas-Sierpinski and Lucas-Riesel numbers" with Daniel Baczkowski and Olaolu Fasoranti '12. Fibonacci Quarterly 49 (2011), no. 4, 334-339. (preprint)

  8. "On the irreducibility of certain polynomials with coefficients in arithmetic progression" with N. Saradha. Acta Arithmetica 143 (2010), no. 3, 211-226. (preprint)

  9. "On the irreducibility of weighted sums of polynomials whose irreducible factors are cyclotomic" with Lenny Jones. Journal of Combinatorics and Number Theory 1 (2009), no. 3, 225-236. (preprint)

  10. "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), 77-102. (preprint)

  11. "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)

  12. "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)

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

  14. "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. (preprint)

  15. "Finite groups that have exactly n elements of order n" with Richard Foote, Lenny Jones and Don Spickler. Mathematics Magazine 75 (2002), no. 3, 215-219. (jstor)

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

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