Education & Professional History
Wofford College, BA; Wake Forest University, MA; University of Mississippi, PhD
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
At Carleton since 2018.
Highlights & Recent Activity
Organizations & Scholarly Affiliations
- American Mathematical Society
- Association for Women in Mathematics
- Mathematical Association of America
- Math Alliance
- National Association of Mathematicians
Current Courses
-
Fall 2023
MATH 236:
Mathematical Structures
-
MATH 321:
Real Analysis I
-
MATH 400:
Integrative Exercise
-
Winter 2024
MATH 210:
Calculus 3
-
MATH 361:
Complex Analysis
-
MATH 400:
Integrative Exercise
-
Spring 2024
MATH 210:
Calculus 3
-
MATH 392:
Independent Research
Research Interests
My research interests lie in the field of analytic number theory. In particular, I study properties of L-functions (such as the Riemann zeta-function, Dedekind zeta-functions, Artin L-functions, and automorphic L-functions), their zeros, and class groups of number fields.
My work is partially supported by the National Science Foundation under grant NSF CAREER DMS-2239681. It was previously supported by NSF DMS-1902193 (2019-2023, PI) and NSF FRG DMS-1854398 (2019-2023, Senior Scientist Consultant).
Research Related Travel & Talks
2024
- Number Theory Seminar
April 17, 2024
Kansas State University
Manhattan, KS
- Analytic Number Theory (invited participant and speaker)
March 10-19, 2024
Institut Mittag-Leffler
Djursholm, Sweden
2023
- AWM Career Panel (invited panelist)
November 10, 2023
Syracuse University (virtual)
2022
- Number Theory Days (invited speaker)
September 30 – October 1, 2022
École Polytechnique Fédérale de Lausanne
Lausanne, Switzerland
- ANTeater ’22 (invited speaker)
August 1-4, 2022
University of California – Irvine
Irvine, California
2021
- Purdue Analytic Number Theory and Harmonic Analysis seminar (PANTHA)
March 31, 2021
Purdue University (Virtual)
2020
- MathFest (Project NExT Fellow)
July 28 – August 1, 2020
Philadelphia, PA (Virtual)
- VaNTAGe Seminar
Tuesday, February 18, 2020
Broadcasting live from Northfield, MN!
2019
- MathFest (Project NExT Fellow)
July 31 – August 3, 2019
Cincinnati, Ohio
2018
- CMS 2018 Winter Meeting (invited speaker)
Special Session: Distributions in Analytic Number Theory
Vancouver, Canada
December 7 – 10, 2018
- University of Minnesota – Number Theory Seminar (invited speaker)
Minneapolis, MN
December 3, 2018
- Max Planck Institute for Mathematics (research visit)
Bonn, Germany
July 1 – 31, 2018
• Number Theory Lunch Seminar (July 18, 2018)
• PLeaSANT Seminar (July 25, 2018)
- Number Theory Seminar
Mathematical Institute, University of Cologne
Cologne, Germany
July 10, 2018
- HCM School: L-functions: Open Problems and Current Methods (course lecturer)
Bonn, Germany
June 25 – 29, 2018
- Perspectives on the Riemann Hypothesis
Bristol, United Kingdom
June 4 – 7, 2018
- Institute for Advanced Study (research visit)
Princeton, New Jersey
May 7 -10, 2018
- Number Theory Seminar
University of New South Wales Sydney
Sydney, Australia
March 13, 2018
- Pure Maths Seminar
University of New South Wales Sydney
Sydney, Australia
March 13, 2018
- Department Colloquium
University of New South Wales Canberra
Canberra, Australia
March 8, 2018
- Joint Mathematics Meetings
San Diego, CA
January 10 – 13, 2018
2017
- Department Colloquium
Oberlin College, Oberlin, OH
November 29, 2017
- Algebra, Geometry, and Number Theory Seminar
Tufts University, Boston, MA
November 16, 2017
- Mathematics & Statistics Department Colloquium
Elon University, Elon, NC
October 18, 2017
- WIN4
Banff International Research Station, Canada
August 14 – 18, 2017
- MCA 2017
Special Session Advances in algebraic and analytic number theory (co-organizer)
Montréal, Canada
July 24 – 28, 2017
- SWIM 2017 (course lecturer)
Duke University, Durham, NC
July 20 – 30, 2017
- Careers in Academia
AIM, San Jose, California
June 6 – 9, 2017
- re:boot number theory 2017 (co-organizer)
Duke University, Durham, NC
June 1 – 3, 2017
- AMS Spring Western Sectional Meeting
Special Session Analytic number theory and automorphic forms (invited speaker)
Washington State University
April 22 – 23, 2017
- Algebraic Geometry and Number Theory Seminar
Rice University
April 11, 2017
- MSRI Analytic Number Theory Semester Program
Connections for Women (invited speaker)
Program Member (postdoc)
MSRI, Berkeley, CA
January 17 – May 26, 2017
- Joint Mathematics Meetings
AMS Special Session Analytic number theory and arithmetic (invited speaker)
MAA Invited Paper Session L-functions and other animals (co-organizer)
Atlanta, Georgia
January 4 – 7, 2016
2016
- Number Theory Seminar
University of South Carolina
November 17, 2016
- Harkness Table Series
Spartanburg Day School
October 21, 2016
- Moments of zeta and correlations of divisor sums
AIM, San Jose, California
August 29 – September 2, 2016
- WADE Into Research (invited speaker)
Wake Forest University, Winston-Salem, NC
June 24, 2016
- SWIM (invited speaker)
Duke University, Durham, NC
June 21, 2016
- Winthrop University REU (invited speaker)
Winthrop University, Rock Hill, SC
June 17, 2016
- Number Theory Seminar
University of Illinois Urbana-Champaign
April 21, 2016
- Department Colloquium
Wake Forest University, Winston-Salem, NC
April 6, 2016
- Department Colloquium
Winthrop University, Rock Hill, SC
April 1, 2016
- re:boot Number Theory 2016 (co-organizer)
Duke University, Durham, NC
March 17-20, 2016
- 30th Automorphic Forms Workshop
Wake Forest University, Winston-Salem, NC
March 7-10, 2016
2015
- Computational Aspects of the Langlands Program (invited speaker)
ICERM, Providence, Rhode Island
November 8-21, 2015
- Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance (invited speaker)
University of Georgia, Athens, GA
June 9-11, 2015
- Analytic Methods in Elementary Number Theory (invited speaker)
AMS Special Session Southeastern Sectional
University of Alabama, Huntsville, AL
March 27-29, 2015
- Department Colloquium
Williams College, Williamstown, MA
January 23, 2015
- UNC-Duke Number Theory Seminar
Duke University, Durham, NC
January 21, 2015
- 2015 Joint Mathematics Meetings
San Antonio, TX
January 10-13, 2015
2014
- New Approaches in Probabilistic and Multiplicative Number Theory
CRM, Montréal, Canada
December 8-12, 2014
- Bounded Gaps Between Primes
AIM, Palo Alto, CA
November 17-21, 2014
- Young Mathematicians Conference
Ohio State University, Columbus, Ohio
August 22-24, 2014
- ENFANT & ELEFANT
Hausdorff Center, Bonn, Germany
July 11-18, 2014
Letters of Recommendation – Please read this note if you would like me to write you a letter of recommendation.
Current Courses
-
Fall 2023
MATH 236:
Mathematical Structures
-
MATH 321:
Real Analysis I
-
MATH 400:
Integrative Exercise
-
Winter 2024
MATH 210:
Calculus 3
-
MATH 361:
Complex Analysis
-
MATH 400:
Integrative Exercise
-
Spring 2024
MATH 210:
Calculus 3
-
MATH 392:
Independent Research
My research interests lie in the field of analytic number theory. In particular, I study properties of L-functions (such as the Riemann zeta-function, Dedekind zeta-functions, Artin L-functions, and automorphic L-functions), their zeros, and class groups of number fields.
My work is partially supported by the National Science Foundation under grant NSF CAREER DMS-2239681. It was previously supported by NSF DMS-1902193 (2019-2023, PI) and NSF FRG DMS-1854398 (2019-2023, Senior Scientist Consultant).
Preprints
- Twisted 2k-th moments of primitive Dirichlet L-functions: beyond the diagonal, with S. Baluyot, submitted, [preprint]
Publications
- An unconditional Montgomery Theorem for pair correlation of zeros of the Riemann zeta function, with S. Baluyot, D.A. Goldston, and A. I. Suriajaya, to appear, Acta Arithmetica [preprint]
- On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function, with D. A. Goldston and T. S. Trudgian, in press, Journal of Mathematical Analysis and Applications, 2023 [preprint] [journal]
- Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function, with T. Trudgian and A. Simonič, Transactions of the American Mathematical Society, 375, no. 3 (2022), 3239-3265. [preprint] [journal]
- Hilbert transforms and the equidistribution of zeros of polynomials, with E. Carneiro, M. K. Das, A. Florea, A. V. Kumchev, A. Malik, M. B. Milinovich, and J. Wang, Journal of Functional Analysis, 281 (2021), no. 9, Paper No. 109199, 25 pp. [preprint] [journal]
- On a conjecture for l-torsion in class groups of number fields: from the perspective of moments, with L. B. Pierce and M. Matchett Wood, Mathematical Research Letters, 28, no. 2 (2021), pp. 575-621. [preprint] [journal]
- 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, Inventiones Mathematicae, 219 (2020), no. 2, 701-778. [preprint] [journal]
- Extremal primes of elliptic curves without complex multiplication, with C. David, A. Gafni, A. Malik, and N. Prabhu, Proceedings of the American Mathematical Society, 148 (2020), no. 3, 929-943. [preprint] [journal]
- 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. [preprint] [journal]
- 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. [preprint] [journal]
- Consecutive primes in tuples, with W. D. Banks and T. M. Freiberg, Acta Arithmetica, 167 (2015), 261-266. [preprint] [journal]
- Gaps between zeros of Dedekind zeta-functions of quadratic number fields, Journal of Mathematical Analysis and Applications, 418 (2014), no. 1, 100-107. [journal]
- Moments of products of automorphic L-functions, with M. B. Milinovich, Journal of Number Theory, 139 (2014), 175-204. [journal]
Collaborations with Undergraduates at the SMALL 2014 REU
Publications
- 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. [preprint] [journal]
- Gaussian distribution of the number of summands in generalized Zeckendorf decompositions in small intervals, with A. Best, P. Dynes, X. Edelsbrunner, B. McDonald, S. J. Miller, K. Tor, and M. Weinstein, INTEGERS, 16 (2016), #A6. [preprint] [journal]
Conference Proceedings
- 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. [preprint] [article]
- 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. [preprint] [article]
- 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. [preprint] [article]
Book Contributions
- 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 (2016). [preprint] [chapter]
- 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. [preprint] [chapter]
- 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 Benford’s Law: Theory and Applications, (S. J. Miller, editor), Princeton University Press, 2015. [chapter]
I love traveling the world with my partner, Ian, spending time with our fur baby, Pickles, and tap dancing.
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