Quadratic Number Fields
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A modular framework for generalized Hurwitz class numbers, with Andreas Mono. Submitted.
Imaginary quadratic fields with l-torsion-free class groups and specified split primes, with Martin Raum and Olav Richter. Int. Math. Res. Not. 16 (2024).
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Congruences of Hurwitz class numbers on square classes (with Martin Raum and Olav Richter). Adv. in Math. 409 Part B (2022) 108663. Link.
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​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.
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Class number divisibility for imaginary quadratic fields. Research in Number Theory, Res. Number Theory 6 (2020), no. 1, Paper No. 13. Link.
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Indivisibility of class numbers of imaginary quadratic fields. Res. Math. Sci. 4 20 (2017). Link.
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Integer Partitions
Applications in the sciences
Theory for chemical equilibrium in small systems: General results and examination of micelle self-assembly (with Robert Schneider, Lara Patel, Xiaokun Zhang, and James Kindt). Submitted.
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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.
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Theta-type congruences for colored partitions (with Alex Caione, Jack Chen, Maddie Diluia, Oscar Gonzalez, Jamie Su). J. of Number Theory 253, (2023) 317-336 Link.
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Scarcity of congruences for the partition function (with Scott Ahlgren and Martin Raum). Amer. J. of Math. 145 (5), 1509-1548, 2023. Link.
Partitions with large Dyson Rank (with Colin Albert, Robert Dicks, Irfan Demetoglu, John H. Smith, Jasmine Wang). JRMS 38 No 1. (2023) 15-21 Link.
Code by John H. Smith and Jasmine Wang with Theorem 1 examples.
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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.
The number of parts in certain residue classes of integer partitions (with Michael Mertens). Research in Number Theory 1 (2015). Link.
Multiplicative Properties of the Number of k-Regular Partitions (with Christine Bessenrodt). Annals of Combinatorics 20 (2016), p. 231-250. Link. ​
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Modular forms and L-functions
Holomorphic projection for sesquiharmonic Maass forms, with Michael Allen and Vaishavi Sharma. Submitted.
A zero density estimate and fractional imaginary parts of zeros for GL_2 L-functions (with Di Liu, Jesse Thorner, and Alexandru Zaharescu). Math. Proc. Camb. Phil. Soc. (2022), 1-26. doi:10.1017/S0305004122000445 Link.
​Bounds for special values of shifted convolution Dirichlet series. Proc. Amer. Math. Soc. 145 6 (2017). p. 2373-2381. Link.
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