Ongoing or in prep papers

1. TBD, ongoing (with A. Mono and L. Rolen).

2. TBD, ongoing (with A. Folsom, L. Rolen, and M. Storzer).

3. TBD, ongoing (with W. Craig).

Preprints

4. Explicit construction of locally harmonic Maass forms in hyperbolic n-space, submitted.

5. A note on hook length equidistribution on arithmetic progressions - submitted.

6. Asymptotics for d-fold diamond partitions and related infinite products - submitted (with K. Bringmann and W. Craig).

7. Crank equidistribution and (k,j)-overlined partitions - submitted (with A. Chakravarthy† and S. Shen).

8. Central L-values of newforms and local polynomials - submitted (with A. Mono, L. Rolen, and I. Wagner).*

9. Oscillating asymptotics and conjectures of Andrews - submitted (with A. Folsom, L. Rolen, and M. Storzer).*

10. Jensen polynomials associated with Wright's circle method: Hyperbolicity and Turan inequalities  - submitted (with J. Bal†, F. Haraldson†, and I. Thompson).*

Published & in-press articles

11. A note on the equidistribution of 3-colour partitions - SIGMA Special Issue on Asymptotics and Applications of Special Functions in Memory of Richard Paris, SIGMA 20 (2024), 001.*

12. Combinatorial results on t-cores and sums of squares - Australasian Journal of Combinatorics, Volume 88(2) (2024), Pages 221–243 (with Z. Tripp).*

13. Asymptotic equidistribution for partition statistics and topological invariants - Journal of Number Theory,  Volume 256, March 2024, Pages 373-396 (with G. Cesana and W. Craig).*

14. Sign changes in statistics for plane partitions - Journal of Mathematical Analysis and Applications, Volume 530, Issue 1, 1 February 2024, 127719 (with W. Bridges and J. Franke).*

15. Exact formulae and Turan inequalities for Vafa-Witten invariants of K3 surfaces - Proceedings of the Edinburgh Mathematical Society, 66(3), 845-861 (with D. R. Johnston).*

16. Equidistribution and partition polynomials - The Ramanujan Journal, to appear (with A. Folsom and L. Rolen).*

17. Bivariate asymptotics for eta-theta quotients with simple poles - The Ramanujan Journal, 62, pages 47–67 (2023) (with G. Cesana).*

18. Local Maass forms and Eichler-Selberg type relations for negative weight vector-valued mock modular forms - Pacific Journal of Mathematics, 322-2 (2023), 381--406 (with A. Mono).*

19. Asymptotics, Turan inequalities, and the distribution of the BG-rank and 2-quotient core rank of partitions - Annals of Combinatorics 2022 (with A. Baker†).*

20. The second shifted difference of partitions and applications - Bulletin of the Australian Mathematical Society, (2022) 1 - 13 (with K. Gomez† and L. Rolen).*

21. Distributions on partitions arising from Hilbert schemes and hook lengths - Forum of Mathematics, Sigma, 2022, 10, E49. (with K. Bringmann, W. Craig, and K. Ono).*

22. Polar harmonic Maaß forms and holomorphic projection - International Journal of Number Theory, vol. 18, (2022) no. 09, pp. 1975 - 2004. (with A. Mono and L. Rolen).*

23. Higher Siegel theta lifts on Lorentzian lattices, harmonic Maass forms, and Eichler-Selberg type relations - Mathematische Zeitschrift, 301, pages 3555–3569 (2022).* NB: the arxiv version corrects two minor indexing typos in the proof of Theorem 1.2 in the published version.

24. Higher depth mock theta functions and q-hypergeometric series - Forum Mathematicum, vol. 33, no. 4, 2021, pp. 857-866 (with A. Mono and L. Rolen).

25. On t-core and self-conjugate (2t−1)-core partitions in arithmetic progressions - Journal of Combinatorial Theory Series A, Volume 183, October 2021, 105479 (with K. Bringmann and B. Kane).

26. Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms - Journal of Mathematical Analysis and Applications, Volume 497, Issue 2, 15 May 2021, 124898 (with C. Alfes-Neumann, K. Bringmann, M. Schwagenscheidt).

27. The asymptotic profile of an eta-theta quotient related to entanglement entropy in string theory - Research in Number Theory, 6, Article number: 15 (2020).

    • Corrigendum to published version, Research in Number Theory volume 7, Article number: 36 (2021). The arxiv version is updated. 

28. Asymptotic equidistribution and convexity for partition ranks - The Ramanujan Journal, 54, pages 397–413 (2021).

29. A family of vector-valued quantum modular forms of depth two - International Journal of Number Theory,  2020 16:01, 29-64.

30. A short note on higher Mordell integrals - Journal de Théorie des Nombres de Bordeaux, Volume 34 (2022) no. 2, pp. 563-573.

† Undergraduate coauthor.

*Research conducted for these papers was fully or partially supported by a postdoctoral fellowship from the Pacific Institute for the Mathematical Sciences.

• Modular Forms: Constructions & applications, Ph.D. thesis, University of Cologne (2021).

• Automorphic forms and L-functions over the rationals, Masters thesis, Durham University (2016).