Education & Professional History
Wofford College, BA; Wake Forest University, MA; University of Mississippi, PhD
Previous Appointments
 William W. Elliott Assistant Research Professor, Duke University, 20152018
 Postdoctoral Fellow, Mathematical Sciences Research Institute, Spring 2017
 Postdoctoral Research Fellow, North Dakota State University, 20142015
 Postdoctoral Undergraduate Research Mentor, Williams College, Summer 2014
At Carleton since 2018.
Highlights & Recent Activity
 NSF CAREER DMS2239681 (20232028, PI)
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 Lfunctions (such as the Riemann zetafunction, Dedekind zetafunctions, Artin Lfunctions, and automorphic Lfunctions), their zeros, and class groups of number fields.
My work is partially supported by the National Science Foundation under grant NSF CAREER DMS2239681. It was previously supported by NSF DMS1902193 (20192023, PI) and NSF FRG DMS1854398 (20192023, Senior Scientist Consultant).
Research Related Travel & Talks
2024
 Analytic Number Theory and Arithmetic Statistics – A conference celebrating the mathematical contributions of Chantal David (invited speaker)
August 2630, 2024
Centre de recherches mathématiques
Montréal, Québec, Canada
 International Conference on Lfunctions and Automorphic Forms (invited speaker)
May 1316, 2024
Vanderbilt University
Nashville, TN
 Number Theory Seminar
April 17, 2024
Kansas State University
Manhattan, KS
 Analytic Number Theory (invited participant and speaker)
March 1019, 2024
Institut MittagLeffler
Djursholm, Sweden
 Pittsburgh Links among Analysis and Number Theory (PLANT) (invited speaker)
March 57, 2023
University of Pittsburgh and Carnegie Mellon University
Pittsburgh, PA
2023
 Number Theory Seminar & Department of Mathematics Colloquium
November 28 & 30, 2023
University of Illinois UrbanaChampaign
Urbana, IL
 Department of Mathematics Colloquium
November 16, 2023
Vanderbilt University
Nashville, TN
 AWM Career Panel (invited panelist)
November 10, 2023
Syracuse University (virtual)
 PIMS Network Wide Graduate Courses (guest lecturer)
November 9, 2023
MATH 740: Moments of Lfunctions, Instructor: Alia Hamieh (UNBC)
(virtual)
 Joint AthensAtlanta Number Theory Seminar
October 24, 2023
Georgia Institute of Technology
Atlanta, GA
 AIM Workshop: Delta Symbols and the Subconvexity Problem
October 1620, 2023
American Institute of Mathematics
Pasadena, CA
 AMS Special Session on Analytic Number Theory and Related Fields
October 78, 2023
2023 Fall Central Sectional Meeting, Creighton University
Omaha, NE
 Arithmetic, Algebra, and Algorithms (invited participant)
April 1014, 2023
International Centre for Mathematical Sciences
Edinburgh, Scotland
 Algebra/Number Theory Seminar
March 15, 2023
University of Rochester
Rochester, NY
2022
 Number Theory Seminar
December 7 , 2022
Duke University
Durham, NC
 Number Theory Days (invited speaker)
September 30 – October 1, 2022
École Polytechnique Fédérale de Lausanne
Lausanne, Switzerland
 Duke University (research visit)
September 2, 2022
Durham, NC
 American Institute of Mathematics (FRG research visit)
August 812, 2022
San Jose, California
 ANTeater ’22 (invited speaker)
August 14, 2022
University of California – Irvine
Irvine, California
 PRiME Colloquium
July 22, 2022
Pomona College (Virtual)
 PIMS CRG Workshop on Moments of Lfunctions
July 2529, 2022
University of Northern British Columbia
Prince George, BC, Canada (Virtual)
 50 Years of Number Theory & Random Matrix Theory Conference (invited participant)
June 2124, 2022
Institute for Advanced Study
Princeton, New Jersey
 AWM Research Symposium Special Session: Number Theory (coorganizer)
June 1619, 2022
The Institute for Mathematics and its Applications, University of Minnesota
Minneapolis, Minnesota
 47th Annual New York Regional Graduate Mathematics Conference (plenary speaker)
April 23, 2022
Syracuse University
Syracuse, New York
 American Institute of Mathematics (FRG research visit)
February 3 – March 25, 2022
San Jose, California
AMS Special Session: Number Theory at NonPhD Granting Institutions II(session cancelled)
TBD (was January 7, 2022)
Joint Mathematics Meetings (Conference Postponed)
Seattle, Washington
2021
 Algebraic Geometry and Number Theory Seminar
October 20, 2021
Chalmers University of Technology / University of Gothenburg (Virtual)
 Focused Research Group (FRG) Graduate Seminar
October 4, 2021
American Institute of Mathematics (Virtual)
 American Institute of Mathematics (FRG research visit)
August 18 – 31, 2021
San Jose, California
 Wofford College Summer Research Seminar
June 28, 2021
Spartanburg, South Carolina
 Vanderbilt Number Theory Seminar
May 5, 2021
Vanderbilt University (Virtual)
 QuebecVermont Number Theory Seminar
April 29, 2021
Université de Montréal (Virtual)
 UVA Number Theory Seminar
April 23, 2021
University of Virginia (Virtual)
 Purdue Analytic Number Theory and Harmonic Analysis seminar (PANTHA)
March 31, 2021
Purdue University (Virtual)
 KSU Number Theory Seminar
March 8, 2021
Kansas State University (Virtual)
 Virtual Brazilian Number Theory Seminar (ViBraNT)
February 25, 2021
Universidade Federal de Minas Gerais, Brazil (Virtual)
 UM Algebra and Number Theory Seminar
February 4, 2021
University of Mississippi (Virtual)
2020
 Automorphic Forms and Arithmetic
August 30 – September 5, 2020
Mathematisches Forschungsinstitut Oberwolfach, Germany (Virtual)
 MathFest (Project NExT Fellow)
July 28 – August 1, 2020
Philadelphia, PA (Virtual)
 VaNTAGe Seminar
Tuesday, February 18, 2020
Broadcasting live from Northfield, MN!
 Joint Mathematics Meetings (invited speaker and Project NExT fellow)
January 1518, 2020
Denver, CO
2019
 Duke University (research visit)
December 1120, 2019
Durham, NC
 Analytic Number Theory
November 3 – 9, 2019
Mathematisches Forschungsinstitut Oberwolfach, Germany
 American Institute of Mathematics (FRG research visit)
August 27 – September 4, 2020
San Jose, CA
 MathFest (Project NExT Fellow)
July 31 – August 3, 2019
Cincinnati, Ohio
 NSFCBMS Conference: Lfunctions and Multiplicative Number Theory (invited speaker)
University of Mississippi, May 2024, 2019
Oxford, Mississippi
 Analytic Aspects of Automorphic Forms (invited speaker)
Université de Lille, April 35, 2019
Lille, France
 Value Distribution of Zeta and Lfunctions and Related Topics (invited speaker)
RIKEN Institute March 21 – 27, 2019
Wako, Japan
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
 LMSCMI Research School: New Trends in Analytic Number Theory (invited speaker)
Exeter, United Kingdom
August 13 – 17, 2018
slides
 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: Lfunctions: 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 (coorganizer)
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 (coorganizer)
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 Lfunctions and other animals (coorganizer)
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, WinstonSalem, 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 UrbanaChampaign
April 21, 2016  Department Colloquium
Wake Forest University, WinstonSalem, NC
April 6, 2016  Department Colloquium
Winthrop University, Rock Hill, SC
April 1, 2016  re:boot Number Theory 2016 (coorganizer)
Duke University, Durham, NC
March 1720, 2016  30th Automorphic Forms Workshop
Wake Forest University, WinstonSalem, NC
March 710, 2016
2015
 Computational Aspects of the Langlands Program (invited speaker)
ICERM, Providence, Rhode Island
November 821, 2015  Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance (invited speaker)
University of Georgia, Athens, GA
June 911, 2015  Analytic Methods in Elementary Number Theory (invited speaker)
AMS Special Session Southeastern Sectional
University of Alabama, Huntsville, AL
March 2729, 2015  Department Colloquium
Williams College, Williamstown, MA
January 23, 2015  UNCDuke Number Theory Seminar
Duke University, Durham, NC
January 21, 2015  2015 Joint Mathematics Meetings
San Antonio, TX
January 1013, 2015
2014
 New Approaches in Probabilistic and Multiplicative Number Theory
CRM, Montréal, Canada
December 812, 2014  Bounded Gaps Between Primes
AIM, Palo Alto, CA
November 1721, 2014  Young Mathematicians Conference
Ohio State University, Columbus, Ohio
August 2224, 2014  ENFANT & ELEFANT
Hausdorff Center, Bonn, Germany
July 1118, 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 Lfunctions (such as the Riemann zetafunction, Dedekind zetafunctions, Artin Lfunctions, and automorphic Lfunctions), their zeros, and class groups of number fields.
My work is partially supported by the National Science Foundation under grant NSF CAREER DMS2239681. It was previously supported by NSF DMS1902193 (20192023, PI) and NSF FRG DMS1854398 (20192023, Senior Scientist Consultant).
Preprints
 Twisted 2kth moments of primitive Dirichlet Lfunctions: 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 MontgomeryOdlyzko method regarding gaps between zeros of the zetafunction, 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 zetafunction, with T. Trudgian and A. Simonič, Transactions of the American Mathematical Society, 375, no. 3 (2022), 32393265. [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 ltorsion 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. 575621. [preprint] [journal]
 An effective Chebotarev density theorem for families of number fields with an application to ltorsion in class groups, with L. B. Pierce and M. Matchett Wood, Inventiones Mathematicae, 219 (2020), no. 2, 701778. [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, 929943. [preprint] [journal]
 On rgaps between zeros of the Riemann zetafunction, with J. B. Conrey, Bulletin of the London Mathematical Society, 50 (2018) no. 2, 349356. [preprint] [journal]
 Gaps between zeros of Dedekind zetafunctions of quadratic number fields. II, with H.M. Bui and W.P. Heap, Quarterly Journal of Mathematics, 67 (2016) no. 3, 467482. [preprint] [journal]
 Consecutive primes in tuples, with W. D. Banks and T. M. Freiberg, Acta Arithmetica, 167 (2015), 261266. [preprint] [journal]
 Gaps between zeros of Dedekind zetafunctions of quadratic number fields, Journal of Mathematical Analysis and Applications, 418 (2014), no. 1, 100107. [journal]
 Moments of products of automorphic Lfunctions, with M. B. Milinovich, Journal of Number Theory, 139 (2014), 175204. [journal]
Collaborations with Undergraduates at the SMALL 2014 REU
Publications
 Gaps between zeros of GL(2) Lfunctions, with O. Barrett, B. McDonald, S. J. Miller, P. Ryan, and K. Winsor, Journal of Mathematical Analysis and Applications, 429 (2015), 204232. [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, 3546. [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, 4753. [preprint] [article]
Book Contributions
 From Quantum Systems to LFunctions: 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), SpringerVerlag (2016). [preprint] [chapter]
 Some Results in the Theory of Lowlying 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, SpringerVerlag. [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]
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