Selected research papers and preprints

1. Almost harmonic Maass forms and Kac Wakimoto characters (with A. Folsom)    
   Submitted for publication.
2. Locally harmonic Maass forms and rational period functions (with B. Kane and W. Kohnen)    
   Submitted for publication.
3. On a conjecture of  B. Berndt and B. Kim (with A. Folsom)    
   Ramanujan Journal, accepted for publication.
4. Partial theta functions and mock modular forms as q-hypergeometric series   (with A. Folsom and R. Rhoades)    
   Ramanujan Journal, special volume for Ramanujan's 125 birthday, accepted for publication.
5. Second  order cusp forms and mixed modular forms   (with B. Kane)    
   Submitted for publication.
6. Mock period functions, biharmonic Maass forms, and non-critical values of L-functions   (with N. Diamantis and M. Raum)    
   Submitted for publication.
7. Kohnen's limit process for real-analytic Siegel modular forms  (with M. Raum and O. Richter)    
   Submitted for publication.
8. Convolution bootstrap percolation models, Markov-type stochastic processes, and mock theta functions  (with K. Mahlburg and  A. Mellit)    
   Int. Math. Res. Not. , accepted  for publication.
9. Duality and differential operators for harmonic Maass forms  (with B. Kane and R. Rhoades)    
   Developments in Mathematics, special volume in honour of Ehrenpreis, accepted for publication,
10. Asymptotic formulas for coefficients of Kac-Wakimoto characters (with K. Mahlburg)    
    Submitted for publication.
11. Taylor coefficients of Mock-Jacobi  forms and moments of parttition statistics (with K. Mahlburg and R. Rhoades)    
    Submitted  for publication.  
12. Inequalities  for full rank differences of 2-marked Durfee symbols (with B. Kane)    
    J. Combinatorial Series A 119 (2012), pages 483-501.
13. l-adic properties  of  smallest parts functions (with S. Ahlgren and  J. Lovejoy)
    Advances in Math. 228 (2011), pages 629-645.
14. Automorphic properties of generating functions  for generalized  odd  rank moments  and  odd Durfee symbols (with  C. Alfes  and J. Lovejoy)
    Proc. Cambridge  Phil. Soc,  accepted for  publication.
15. On  the asymptotic  behavior of  Kac-Wakimoto characters (with  A. Folsom)
    Proceedings of the AMS, accepted for publication.
16. Eichler-Shimura theory for  mock modular forms  (with P. Guerzhoy, Z. Kent, and K. Ono)
    Submitted for publication.
17. From sheaves on P^2 to generalizations of the Rademacher expansion (with J. Manschot)
    American J. of Math., accepted for publication.
18. Exact formulas  for coefficients of Jacobi forms (with O. Richter)
    Int.  J. Number Theory 7  (2011), pages 825-833.
19. Mock   modular  forms as p-adic modular forms (with B. Kane  and P.  Guerzhoy)    
    Transactions of the  AMS, accepted for publication.             
20. Improved bounds on  metastability thresholds and  probabilities for generalized  bootstrap percolation (with K. Mahlburg) 
    Transactions of the AMS, accepted  for publication.
21. On the modularity of the inified WRT invariants of certain Seifert manifold (with K. Hikami and J. Lovejoy) 
    Adv. Appl. Math. 46  (2011) (special volume in honour of D. Stanton), pages 86-93.  
22. New identities involving sums of tails related to real quadratic fields (with B. Kane)    
    Ramanujan  J. 23 (special  volume  in Celebration of Andrews 70th  birthday)     (2010),  pages 243-251.
23. Jacobi  forms over complex  quadratic fields via the cubic  Casimir operator (with C. Conley and O. Richter)
    Commentarii Mathematici Helvetici, accepted for publication.  
24. Asymptotics for rank and crank moments (with K. Mahlburg and R. Rhoades)
    Bull. of London Math. Soc. 43  (2011), pages 661-672.
25. Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms (with O. Richter)
    Advances of  Math 225  (2010), pages 2298-2315.
26. Inequalities for differences of Dyson´s rank for all odd moduli (with B. Kane)
    Math. Research Letters  17  (2010), pages 927-942 .  
27. Multiplicative q-hypergeometric series arising from real quadratic fields (with B. Kane)
    Trans. Amer. Math. Soc. 363  (2011), pages 2191-2209.
28. An extension of the Hardy-Ramanujan Circle Method and  applications to partitions without sequences (with K. Mahlburg )
    American Journal  of Math  133  (2011), pages 1151-1178.
29. Some characters of Kac and Wakimoto and nonholomorphic modular functions (with K. Ono)
    Math. Annalen 345 (2009), pages 547- 558.                                                                                     
30. Inequalities between crank and rank moments (with K. Mahlburg)
    Proc. Amer. Math. Soc.  137 (2009), pages 2567-2574.  
31. q-series and weight 3/2 Maass forms (with A. Folsom and  K. Ono)
    Compositio Mathematica  145 (2009), pages 541- 552.  
32. Coefficients of harmonic Maass forms (with K. Ono)
    Proceedings of the 2008 University of Florida Conference on Partitions, q-series, and modular forms..
33. Rank-crank type PDE's and non-holomorphic Jacobi forms (with S. Zwegers)
    Math. Res. Lett. 17 (2010),  pages. 589-600.
34. Rank and crank moment for overpartitions (with J. Lovejoy and R. Osburn)
    Journal of Number Theory   129 (2009), pages 2567-2574.
35. Automorphic properties of generating functions for generalized rank moments and Durfee symbols (with J. Lovejoy and R. Osburn)
    Int. Math. Res. Not. (2010), rnp131.
36. Partition statistics and quasiharmonic Maass forms (with F. Garvan and K. Mahlburg)
    Int. Math. Res. Not. (2008), rmn 124.
37. Overpartitions and class numbers of binary quadratic forms (with J. Lovejoy)
    Proc. Nat. Acad. Sci. U.S.A. 106 (2009), pages 5513-5516.
38. On the explicit construction of higher deformations of partition statistics
    Duke Math. Journal 144 (2008), pages 195-233.
39. Eulerian series as modular forms (with K. Ono and R. Rhoades)
    J. Amer. Math. Soc. 21 (2008), pages 1085-1104.
40. Mock theta functions, weak Maass forms, and applications
    Modular forms, Conference procedings of the Conference in Schiermonnikoog 2006.
41. Dyson's rank, overpartitions, and weak Maass forms (with J. Lovejoy)
    Int. Math. Res. Not. (2007).
42. Arithmetic properties of non-harmonic weak Maass forms (with D. Penniston)
    Proc. Amer. Math. Soc. 137 (2009), pages 825-833. 
43. Ramanujan type congruences and Jacobi forms (with B. Heim)
    Int. Math. Res. Not (2007)
44. Rank and congruence for overpartition pairs (with J. Lovejoy)
    Int. J. Number Theory 4 (2008), pages 303-322.
45. Lifting elliptic cusp forms to Maass forms with an application to partitions (with K. Ono)
    Proc. Nat. Acad. Sci. U.S.A. 104 (2007), pages 3725-3731.
46. On Jacobi Poincare series of small weight (with T. Yang)
    Int. Math. Res. Not. (2007).
47. On a conjecture of Koike on identities between Thompson series and Roger-Ramanujan function (with H. Swisher) Corrigendum Proc. Amer. Math. Soc. 135 (2007), pages 2317-2326.
48. Maass-Jacobi forms over complex quadratic fields (with O. Richter and C. Conley)
    Math. Res. Lett. 14 (2007), pages 137-156.
49. On certain congruences for Dyson's ranks
    International Journal of Number Theory 5 (2009), pages 573- 584.  
50. Asymptotics for rank partition functions
    Trans. Amer. Math. Soc. 361  (2009), pages 3483-3500.
51. Dyson's ranks and Maass forms (with K. Ono)
    Ann. of Math. 171 (2010), pages 419-449..
52. The $f(q)$ mock theta function conjecture and partition ranks (with K. Ono)
    Invent. Math. 165 (2006), pages 243-266.
53. A Converse Theorem for Hilbert-Jacobi forms (with S. Hayashida)
    Rocky Mountain J. Math. 39 (2009), pages 423-435.
54. On the boundary behaviour of automorphic forms (with B. Kane, and W. Kohnen)
    Int. J. Number Theory 2 (2006), pages 187-194.
55. An arithmetic formula for the partition function (with K. Ono)
    Proc. Amer. Math. Soc. 135 (2007), pages 3507-3514.
56. Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series (with K.Ono)
    Math. Ann. 337 (2007), pages 591-612.
57. Traces of singular moduli on Hilbert modular surfaces (with K. Ono and J. Rouse)
    Int. Math. Res. Not. 47 (2005), pages 2891-2912.
58. On Fourier coefficients of Siegel cusp forms
    Proceedings of the ELAZ-Conference 2004, pages 34-43.
59. Lifting maps from a Vector Space of Jacobi cusp forms to a subspace of elliptic modular forms
    Math. Z. 253 (2006), 735-752.
60. Estimates of Fourier coefficients of Siegel cusp forms for subgroups and in the case of small weight
    J. London Math. Soc. 73 (2006),31-47.
61. Asymptotic Formulas for some restricted partition functions
    Ramanujan J. 12 (2006), pages 257-266.