# 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

- Generalized Ramanujan Primes. In: Ramanujan 125, Gainesville, Florida.
- Multiplicative properties of the number of k-regular partitions. In: University of Florida Number Theory Seminar, Fall 2014.
- Multiplicative properties of the number of k-regular partitions. In: Pennsylvania State University Partitions Seminar, Fall 2014.
- Multiplicative properties of the number of k-regular partitions. In: Joint Math Meetings 2015, San Antonio, Texas.
- The Number of Parts of Integer Partitions in Certain Residue Classes. In: Pennsylvania State University Partitions Seminar, Fall 2015.
- 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.
- The Number of Parts of Partitions in Given Residue Classes. In: AMS southeast sectional meeting in experimental mathematics, Athens, Georgia, March 2016.
- Indivisibility of class numbers of imaginary quadratic fields. In: Purdue University Automorphic Forms weekly seminar, January 2017.
- Patterns in partitions. In: Kennesaw State MathTalks weekly seminar, February 2017.
- 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

- Emory Math Circle
- Emory Graduate Student Algebra-Number Theory Seminar
- Kindt Research Group