RESEARCH PUBLICATIONS

Published Papers

1. Combinatorial properties of Rogers-Ramanujan-type identities arising from Hall-Littlewood polynomials (with Claire Frechette).  Annals of Combinatorics 20: 2 (2016), 345-360.

2. Congruences for powers of the partition function (with Ian Wagner).  Annals of Combinatorics 21: 1 (2017), 83-93.

3. Shifted distinct-part partition identities in arithmetic progressions (with Ethan Alwaise, Robert Dicks, Jason Friedman, Lianyan Gu, Zach Harner, Hannah Larson, Ian Wagner, and Josh Weinstock).  Annals of Combinatorics 21: 4 (2017), 479-494.

4. Conjugacy growth series for finitary wreath products.  Research in Number Theory 3: 7 (2017).

5. A new formula for Chebotarev densities.  Research in Number Theory 3: 27 (2017).

6. Effective bounds for the Andrews spt-function (with Riad Masri).  Forum Mathematicum, Volume 31, Issue 3 (2019), 743-767.

7. Multiquadratic fields generated by characters of An (with Ken Ono and Ian Wagner).  Journal of Algebra, Volume 533 (2019), 339-343.

8. Higher Width Moonshine (with Ken Ono).  Advances in Mathematics, Volume 360 (2020), doi.org/10.1016/j.aim.2019.106896.

9. Fields generated by characters of finite linear groups (with Ken Ono and Ian Wagner).  Archiv der Mathematik 116 (2021), 487-500.

10. Generalized Paley graphs and their complete subgraphs of orders three and four (with Dermot McCarthy).  Research in the Mathematical Sciences, 8: 18 (2021), doi.org/10.1007/s40687-021-00254-7.

11. Self-conjugate t-core partitions and applications (with Benjamin Sharp).  Australasian Journal of Combinatorics 82(2) (2022), 212-227.

12. Derivatives and Integrals of Polynomials Associated with Integer Partitions (with Tyler Russell and Dannie Urban).  Journal of Integer Sequences 25 (2022), Article 25.5.1.

13. A “supernormal” partition statistic (with Robert Schneider and Matt Just). Journal of Number Theory 241 (2022), 120-141.

14. Bijections, generalizations, and other properties of sequentially congruent partitions (with Ezekiel Cochran, Emma Harrell, and Samuel Saunders). Ramanujan Journal (2023), https://doi.org/10.1007/s11139-023-00728-y.

15. Representations of integers as quotients of sums of distinct powers of three (with Katie Anders, Bruce Reznick, and Simone Sisneros-Thiry).  Submitted.

16. Non-standard binary representations and the Stern sequence (with Katie Anders, Rajat Gupta, and Joseph Vandehey).  Submitted.

17. Inequalities and asymptotics for hook numbers in restricted partitions (with Will Craig and Guo-niu Han).  Submitted.

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Papers in Progress​

1. Summation formulas in the theory of Hecke's functional equation (with Rajat Gupta).  In preparation.

2. Digraphs for quotients of sums of distinct powers of three (with Katie Anders, Bruce Reznick, and Simone Sisneros-Thiry).  In preparation.

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Conference Proceedings

1. CM evaluations of the Goswami-Sun series (with Ken Ono). Proceedings of Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. Zeuthen, Germany (2017). Texts & Monographs in Symbolic Computation. Eds. J. Blümlein, C. Schneider, and P. Paule. Springer Nature Switzerland AG (2019), 183-193.

2. Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures (with Dermot McCarthy).  From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory. Eds. F. Gesztesy and A. Martinez-Finkelshtein.  Operator Theory: Advances and Applications, Volume 285. Birkhäuser, Springer Nature Switzerland AG (2021), 41-56.

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Book Chapters

1. Review of "Your hit parade: the top ten most fascinating formulas in Ramanujan's lost notebook," by B. C. Berndt and G. E. Andrews.  Encyclopedia of Srinivasa Ramanujan and His Mathematics.  Submitted.

2. Ramanujan and the Nekrasov-Okounkov Formula.  Encyclopedia of Srinivasa Ramanujan and His Mathematics.  Submitted.

OTHER PUBLICATIONS

1. Popular magazine article: Speed Seeking (with Ken Ono). Splash Magazine (Summer 2019), 38-39.

2. AMS Mathematical Review MR4245103.  "Parking functions on directed graphs and some directed trees," by W. King and C. H. Yan.  The Electronic Journal of Combinatorics 27(2) (2020), #P2.48.

3. AMS Mathematical Review MR4263544.  "On t-core and self-conjugate (2t-1)-core partitions in arithmetic progressions," by K. Bringmann, B. Kane, and J. Males.  Journal of Combinatorial Theory, Series A 183 (2021) 105479.

4. AMS Mathematical Review MR4301587.  "Distribution Properties for t-Hooks in Partitions," by W. Craig and A. Pun.  Annals of Combinatorics 25 (2021), 677-695.

5. AMS Mathematical Review MR4322529.  "Moments of partitions and derivatives of higher order," by S. Zemel.  Journal of Algebraic Combinatorics 54 (2021), 425-439.

6. AMS Mathematical Review MR4356162.  "Cylindric partitions and some new A_2 Rogers-Ramanujan identities," by S. Corteel, J. Dousse, and A. Uncu.  Proceedings of the American Mathematical Society 150 (2022), no. 2, 481-497.

7. AMS Mathematical Review MR4372227.  "Certain eta-quotients and l-regular overpartitions," by C. Ray and K. Chakraborty.  Ramanujan Journal 57 (2022), no. 2, 453-470.

8. AMS Mathematical Review MR4416681.  "Laguerre inequalities for discrete sequences," by L. X. W. Wang and E. Y. Y. Yang. Advances in Applied Mathematics 139 (2022), 949-967.

9. AMS Mathematical Review MR4382175.  "The asymptotic number of weighted partitions with a given number of parts," by D. Stark.  Ramanujan Journal 57 (2022), 949-967.

10. AMS Mathematical Review MR4541589.  "Sign behaviour of sums of weighted numbers of partitions," by F. Gawron and M. Ulas.  Ramanujan Journal (2023) 60:571-584.

11. AMS Mathematical Review MR4554014.  "Congruences for overpartitions with l-regular over-lined parts," by G. D. Shivanna and S. Chandrappa.  The Journal of Analysis (2023) 31:459-474.

12. AMS Mathematical Review MR4607743.  "On generalizations of a conjecture of Kang and Park," by R. Inagaki and R. Tamura.  Research in Number Theory (2023) 9:51.