Skip Navigation
Caroline Turnage-Butterbaugh

Caroline Turnage-Butterbaugh

Education & Professional History

Previous Appointments

  • William W. Elliott Assistant Research Professor, Duke University, 2015-2018
  • Postdoctoral Fellow, Mathematical Sciences Research Institute, Spring 2017
  • Postdoctoral Research Fellow, North Dakota State University, 2014-2015
  • Postdoctoral Undergraduate Research Mentor, Williams College, Summer 2014

 

Education

  • PhD, mathematics, University of Mississippi, 2014
  • MA, mathematics, Wake Forest University, 2008
  • BA, mathematics & French, Wofford College, 2006

Languages Spoken

Highlights & Recent Activity

Preprints

  • Extremal primes of elliptic curves without complex multiplcation, with C. David, A. Gafni, A. Malik, and N. Prabhu), preprint available at https://arxiv.org/abs/1807.05255
  • An effective Chebotarev density theorem for families of number fields with an application to l-torsion in class groups, with L. B. Pierce and M. Matchett Wood), submitted, preprint available at https://arxiv.org/abs/1709.09637

 

Publications (* denotes an undergraduate coauthor)

  • On r-gaps between zeros of the Riemann zeta-function, with J. B. Conrey, Bulletin of the London Mathematical Society, 50 (2018) no. 2, 349-356.
  • Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II, with H.M.  Bui and W.P. Heap, Quarterly Journal of Mathematics, 67 (2016) no. 3,  467-482.
  • Benford behavior of generalized Zeckendorf decompositions, with A. Best*, P. Dynes*, X. Edelsbrunner*, B. McDonald*, S. J. Miller, and M. Weinstein*, Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016, Springer, New York, 2017.
  • Gaussian distribution of the number of summands in generalized Zeckendorf decompositions, with A. Best, P. Dynes, X. Edelsbrunner, B. McDonald, S. J. Miller, K. Tor, and M. Weinstein,  INTEGERS 16 (2016), #A6
  • Gaps between zeros of GL(2) L-functions, with O. Barrett*, B. McDonald*, S. J. Miller, P. Ryan*, and K. Winsor*, Journal of Mathematical Analysis and Applications, 429 (2015), 204-232.
  • Gaussian behavior of the number of summands in Zeckendorf decompositions in small intervals, with A. Best*, P. Dynes*, X. Edelsbrunner*, B. McDonald*, S. J. Miller, K. Tor*, and M. Weinstein*, Fibonacci Quarterly 52 (2014), no. 5, 35-46.
  • Benford behavior of Zeckendorf decompositions, with A. Best*, P. Dynes*, X. Edelsbrunner*, B. McDonald*, S. J. Miller, K. Tor*, and M. Weinstein*, Fibonacci Quarterly 52 (2014), no. 5, 47-53.
  • Consecutive primes in tuples, with W. D. Banks and T. M. Freiberg, Acta Arithmetica, 167 (2015), 261-266.
  • Gaps between zeros of Dedekind zeta-functions of quadratic number fields, Journal of Mathematical Analysis and Applications, 418 (2014), no. 1, 100-107.
  • Moments of products of automorphic L-functions, with M. B. Milinovich, Journal of Number Theory, 139 (2014), 175-204.

 

Book Contributions (* denotes an undergraduate coauthor)

  • From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond, with O. Barrett*, F. W. K. Firk, and S. J. Miller, Chapter in Open Problems in Mathematics (editors John Nash Jr. and Michael Th. Rassias), Springer-Verlag
  • Some Results in the Theory of Low-lying Zeros, with B. Mackall*, S. J. Miller, C. Rapti*, and K. Winsor*, in Families of automorphic forms and the trace formula (editors Werner Müller, Sug Woo Shin, and Nicolas Templier), Simons Symposia Series, Springer-Verlag.
  • Benfordness of the Cauchy Distribution and Generalizations, with X. Edelsbrunner*, K. Huan*, B. Mackall*, J. Powell*, and M. Weinstein*, Section 3.6, an appendix to Theory and Applications of Benford's Law, (S. J. Miller, editor), Princeton University Press, 2015

 

Grants

  • AMS Simons travel grant 2018-2020 ($4,000)
  • NSA conference grant 2015--2017 (c. $ 21,000, Co-PI), re:boot Number Theory 2016, Duke University
  • AWM/NSF travel grant DMS-1153905, May 2914 ($2,350)
  • GAANN summer research grants, 2010, 2012, 2013, University of Mississippi

 

Funded Visits

  • Max Planck Institute of Mathematics (MPIM), July 1 - July 31, 2018
  • Mathematical Sciences Research Institute (MSRI), January 17 - May 26, 2017

 

Invited Research Visits

  • Institute for Advanced Study - May 2018
  • Department of Mathematics, University of New South Wales Canberra - March 2018
  • Women in Numbers 4 - August 2017
  • American Institute of Mathematics Workshop: Moments of zeta and correlations of divisor sums - August 2016
  • Institute for Computational and Experimental Research in Mathematics - November 2015
  • Department of Mathematics, Duke University - January 2015
  • American Institute of Mathematics Workshop: Bounded gaps between primes - November 2014
  • Department of Mathematics, University of Missouri - November 2013

Organizations & Scholarly Affiliations

  • American Mathematical Society
  • Association for Women in Mathematics
  • Math Alliance

Personal Interests

Profile updated July 26, 2018

What is this?

Carleton Faculty, Staff, and Student Profiles give Carls a simple way to communicate their interests and activity to the general public and the campus community. Read more about Carleton Profiles or sign in to view and edit your own profile.