Olivia Beckwith

E-mail: olivia (dot) dorothea (dot) beckwith (at) emory (dot) edu
Office: N404, Math and Science Center

About Me

Hi, I'm Olivia! I'm a fourth year graduate student at Emory, where I'm studying number theory with Ken Ono as my adviser. My interests include modular forms, partitions, elliptic curves, and L-functions. I'm also interested in connections between partition theory and other fields, and work with the Kindt Research Group in the Department of Chemistry, with my number theory colleague Robert Schneider. I have an NSF Graduate Fellowship. I got my bachelor's degree from Harvey Mudd College in 2013. I also enjoy teaching for the Emory Math Circle. My non-math activities include backpacking and volunteering for the Georgia Aquarium.

My cv is here.

Publications

  • Indivisibility of class numbers of imaginary quadratic fields. In preparation.
  • Bounds for special values of shifted convolution Dirichlet series. Accepted by Proceedings of the AMS.
  • On the number of parts of integer partitions lying in given residue classes (with Michael Mertens). Accepted by Annals of Combinatorics.
  • The Number of Parts in Certain Residue Classes of Integer Partitions (with Michael Mertens). Accepted by Research in Number Theory .
  • Multiplicative Properties of the Number of k-Regular Partitions (with Christine Bessenrodt). Accepted by Annals of Combinatorics.
  • The Average Gap Distribution for Generalized Zeckendorf Decompositions (with Amanda Bower, Louis Gaudet, Rachel Insoft, Shiyu Li, Steven J. Miller, Philip Tosteson). The Fibonacci Quarterly ( 51 (2013), 13--27)
  • Minkowski length of 3D lattice polytopes (with Matt Grimm, Jenya Soprunova, Bradley Weaver). Journal of Discrete and Computational Geometry. 48, Issue 4 (2012), 1137-1158.
  • Distribution of eigenvalues of weighted, structured matrix ensembles (with Victor Luo, Steven J. Miller, Karen Shen, Nicholas Triantafillou), Integers: Electronic Journal of Combinatorial Number Theory 15 (2015).
  • Generalized Ramanujan Primes (with Nadine Amersi, Steven J. Miller, Ryan Ronan, Jonathan Sondow), Combinatorial and Additive Number Theory, CANT 2011 and 2012, Springer Proceedings in Mathematics and Statistics (2014), 1-13.

    Invited Talks

    1. Generalized Ramanujan Primes. In: Ramanujan 125, Gainesville, Florida.
    2. Multiplicative properties of the number of k-regular partitions. In: University of Florida Number Theory Seminar, Fall 2014.
    3. Multiplicative properties of the number of k-regular partitions. In: Pennsylvania State University Partitions Seminar, Fall 2014.
    4. Multiplicative properties of the number of k-regular partitions. In: Joint Math Meetings 2015, San Antonio, Texas.
    5. The Number of Parts of Integer Partitions in Certain Residue Classes. In: Pennsylvania State University Partitions Seminar, Fall 2015.
    6. The Number of Parts of Integer Partitions in Certain Residue Classes. In: The International Conference on Number Theory & Algebraic Geometry, SASTRA University, Kumbakonam, India, December 2015.
    7. The Number of Parts of Partitions in Given Residue Classes. In: AMS southeast sectional meeting in experimental mathematics, Athens, Georgia, March 2016.
    8. Indivisibility of class numbers of imaginary quadratic fields. In: Purdue University Automorphic Forms weekly seminar, January 2017.
    9. Patterns in partitions. In: Kennesaw State MathTalks weekly seminar, February 2017.
    10. Indivisibility of class numbers of imaginary quadratic fields. Upcoming in Wake Forest University weekly number theory seminar, March 2017.

    Teaching

    Math 111, Fall 2014

    Math 111, Spring 2015

    Other Links

    1. Emory Math Circle
    2. Emory Graduate Student Algebra-Number Theory Seminar
    3. Kindt Research Group