Degrees
- M.S. Mathematics
- The University of Arizona, Tucson, Arizona, United States
- Codes that Improve the Gilbert-Varshamov Bound
- Ph.D. Mathematics
- The University of Arizona, Tucson, Arizona, United States
- On the Infinitude of Elliptic Carmichael Numbers
- B.S. Mathematical Sciences
- Worcester Polytechnic Institute, Worcester, Massachusetts, United States
- Structural Optimization
Work Experience
- Mathematics Department at the University of Arizona (2011 - Ongoing)
- Mathematics Department at the University of Arizona (2008)
- The Fenster School of Southern Arizona (2004 - 2011)
- Pima Community College, Tucson, Arizona (2004 - 2010)
- The Learning Lab (2003 - 2004)
- Alfred University (2000 - 2003)
- Mathematics Department at the University of Arizona (2000)
- Mathematics Department at the University of Arizona (1993 - 1999)
Awards
- Teaching and Service Award
- University of Arizona Math Department, Spring 2023
- University of Arizona Math Department, Spring 2016
Interests
No activities entered.
Courses
No activities entered.
Scholarly Contributions
Journals/Publications
- Ekstrom, A. T., Pomerance, C., & Thakur, D. (2012). Infinitude of Elliptic Carmichael Numbers. The Journal of the Australian Mathematical Society, 92, 45-60. doi:10.1017/S1446788712000080
- Ekstrom, A., Pomerance, C., & Thakur, D. S. (2012).
INFINITUDE OF ELLIPTIC CARMICHAEL NUMBERS
. Journal of The Australian Mathematical Society, 92(01), 45-60. doi:10.1017/s1446788712000080More infoIn 1987, Gordon gave an integer primality condition similar to the familiar test based on Fermat’s little theorem, but based instead on the arithmetic of elliptic curves with complex multiplication. We prove the existence of infinitely many composite numbers simultaneously passing all elliptic curve primality tests assuming a weak form of a standard conjecture on the bound on the least prime in (special) arithmetic progressions. Our results are somewhat more general than both the 1999 dissertation of the first author (written under the direction of the third author) and a 2010 paper on Carmichael numbers in a residue class written by Banks and the second author.
