# Olivia Beckwith

Hello and welcome to my page! I am a mathematician currently working as a Heilbronn Research Fellow at the University of Bristol. In August of 2019, I will begin a 3 year postdoctoral position as a J. Doob Assistant Professor at the University of Illinois at Urbana-Champaign. I'm interested in modular and mock modular forms, Maass forms, quadratic fields, and partitions. You can contact me by emailing me at ee18366@bristol.ac.uk . My cv is here.

### Publications

11. Class number divisibility for imaginary quadratic fields. Submitted. Link.

10. Indivisibility of class numbers of imaginary quadratic fields. Res. Math. Sci. **4 **20 (2017). Link.

9. Extracting aggregation free energies of mixed clusters from simulations of small systems (with James Kindt, Lara Patel, Robert Schneider, Xiaokun Zhang). *J. Chem. Theor. Comp.* **13**, p. 5195-5206 (2017). Link.

8. Bounds for special values of shifted convolution Dirichlet series. *Proc. Amer. Math. Soc.* **145** 6 (2017). p. 2373-2381. Link.

7. On the number of parts of integer partitions lying in given residue classes (with Michael Mertens). *Annals of Combinatorics* **21** (2017), p. 507-517. Link.

6. The number of parts in certain residue classes of integer partitions (with Michael Mertens). *Research in Number Theory * **1** (2015). Link.

5. Multiplicative Properties of the Number of k-Regular Partitions (with Christine Bessenrodt). *Annals of Combinatorics* **20** (2016), p. 231-250. Link.

4. 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). Link.

3. 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. Link.

2. 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). Link.

1. 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). Link.