Publications

and

Preprints

17. Theta-type congruences for colored partitions (with Alex Caione, Jack Chen, Maddie Diluia, Oscar Gonzalez, Jamie Su). Submitted. Link. 

Mathematica Code.

16. Congruences of Hurwitz class numbers on square classes (with Martin Raum and Olav Richter). Advances in Mathematics 409 Part B (2022) 108663. Link.

 

15. Partitions with large Dyson Rank (with Colin Albert, Robert Dicks, Irfan Demetoglu, John H. Smith, Jasmine Wang). Submitted. Link.

Code by John H. Smith and Jasmine Wang with Theorem 1 examples.

 

14. A zero density estimate and fractional imaginary parts of zeros for GL_2 L-functions (with Di Liu, Jesse Thorner, and Alexandru Zaharescu). Submitted. Link.

13. Scarcity of congruences for the partition function (with Scott Ahlgren and Martin Raum). Accepted by American Journal of Mathematics. Link. 

12. Non-holomorphic Ramanujan-type congruences for Hurwitz class numbers (with Martin Raum and Olav Richter). Proc. Natl. Acad. Sci. USA (PNAS), 117 (2020), no. 36, 21953-21961. Link.

11. Class number divisibility for imaginary quadratic fields.  Research in Number Theory,   Res. Number Theory 6 (2020), no. 1, Paper No. 13.  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.