Selected research papers and preprints

1. Asymptotic formulas for coefficients of inverse theta functions (with J. Manschot)    
   submitted for publication.
2. Sums of class numbers and  mixed mock modular forms (with B. Kane)    
   submitted for publication.
3. On q-difference equations for partitions without k-sequences  (with J. Lovejoy  and K. Mahlburg)    
   The legacy of Ramanujan, Ramanujan Mathematical Society, accepted for publication.
4. Shintani lifts and fractional derivatives of  harmonic weak Maass forms (with P. Guerzhoy and B. Kane)    
   submitted for publication.
5. Graded dimensions of principal subspaces and modular Andrews-Gordon series (with  C. Calinescu, A. Folsom, and S. Kimport)    
   Communications on Contemporary mathematics, recommended for publication.
6. Quasimodular forms and sl(m|m)^ characters (with A. Folsom  and K. Mahlburg)    
   Ramanujan Journal, special volume in honor of Basil Gordon, accepted  for publication.
7. On the positivity of black hole generacies in string theory  (with S. Murthy)    
   Communiations in number theory and physics, recommended for publication. 
8. Harmonic Maass-Jacobi  forms  with singularities and a theta-like decomposition  (with M. Raum and O. Richter)    
   Submitted for publication.
9. Theta lifts and local Maass forms  (with B. Kane and M. Viazovska)    
   Mathematical Research Letters, accepted for publication.
10. On a completed generating function of locally harmonic Maass forms (with B. Kane and S. Zwegers)      
    Compositio Mathematica, recommended for publication.
11. Asymptotic inequalities for positive crank and rank moments (with K. Mahlburg)    
    Transactions of the American Mathematical Society, accepted for publication. 
12. Special L-values and periods of weakly holomorphic modular forms (with K. Fricke and Z. Kent)    
    Proceedings  of the American Mathematical Society, accepted for publication. 
13. k-run overpartitions and mock theta function (with A. Holroyd, K. Mahlburg, and M. Vlasenko)    
    The Quarterly Journal of Mathematics (2012). doi: 10.1093/qmath/has019.
14. Almost harmonic Maass forms and Kac Wakimoto characters (with A. Folsom)    
    Journal für die Reine und Angewandte Mathematik, doi:10.1515/crelle-2012-0102. 
15. Locally harmonic Maass forms and the kernel of the Shintani lift (with B. Kane and W. Kohnen)    
    Submitted for publication.
16. On a conjecture of  B. Berndt and B. Kim (with A. Folsom)    
    Ramanujan Journal (2012), doi 10.1007/s11139-012-9378-6.
17. 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, 29 (2012), pages 295-310.
18. Second  order cusp forms and mixed mock modular forms   (with B. Kane)    
    Ramanujan Journal, special volume in honour of Ismail and Stanton 31, 147-161 (2013).
19.  Mock period functions, sesquiharmonic  Maass forms, and non-critical values of L-functions   (with N. Diamantis and M. Raum)    
    Advances of Mathematics 233 (2013), pages 115-134.
20. Kohnen's limit process for real-analytic Siegel modular forms  (with M. Raum and O. Richter)    
    Advances of Mathematics 231 (2012), pages 1100-1118.
21. Convolution bootstrap percolation models, Markov-type stochastic processes, and mock theta functions  (with K. Mahlburg and  A. Mellit)    
    International Mathematics Research Notices 2013 (2013), pages 971-1013.
22. Duality and differential operators for harmonic Maass forms  (with B. Kane and R. Rhoades)    
    Developments in Mathematics, special volume in honour of Ehrenpreis, 28 (2013), pages 85-106.
23. Asymptotic formulas for coefficients of Kac-Wakimoto characters (with K. Mahlburg)    
    Mathematical  Proceedings of the Cambridge Philosophical Society , doi:10.1017/S0305004112000680.
24. Taylor coefficients of Mock-Jacobi  forms and moments of parttition statistics (with K. Mahlburg and R. Rhoades)    
    Mathematical Proceedings of the Cambridge Philosophical Society,  accepted for publication.  
25. Inequalities  for full rank differences of 2-marked Durfee symbols (with B. Kane)    
    Journal of Combinatorial Theory, Series A 119 (2012), pages 483-501.
26. l-adic properties  of  smallest parts functions (with S. Ahlgren and  J. Lovejoy)
    Advances in Mathematics 228 (2011), pages 629-645.
27. Automorphic properties of generating functions  for generalized  odd  rank moments  and  odd Durfee symbols (with  C. Alfes  and J. Lovejoy)
    Mathematical Proceedings of the Cambridge Philosophical Society 151 (2011), pages 385-406.
28. On  the asymptotic  behavior of  Kac-Wakimoto characters (with  A. Folsom)
    Proceedings of the American Mathematical Society 141 (2013), pages 1567–1576
29. Eichler-Shimura theory for  mock modular forms (with P. Guerzhoy, Z. Kent, and K. Ono)
    Mathematische Annalen 355 (2013), pages 1085-1121.
30. From sheaves on P^2 to generalizations of the Rademacher expansion (with J. Manschot)
    American Journal of Mathematics, accepted for publication.
31. Exact formulas  for coefficients of Jacobi forms (with O. Richter)
    International  Journal of Number Theory 7  (2011), pages 825-833.
32. Mock  modular  forms as p-adic modular forms (with B. Kane  and P.  Guerzhoy)    
    Transactions of the American Mathematical Society 364  (2012), pages 2393-2410.
33. Improved bounds on  metastability thresholds and  probabilities for generalized  bootstrap percolation (with K. Mahlburg) 
    Transactions of the American Mathematical Society 364  (2012), pages 3829-3859.
34. On the modularity of the inified WRT invariants of certain Seifert manifold (with K. Hikami and J. Lovejoy) 
    Advances and Applications in Mathematical Sciences 46  (2011) (special volume in honour of D. Stanton), pages 86-93.  
35. New identities involving sums of tails related to real quadratic fields (with B. Kane)    
    Ramanujan  Journal 23 (special  volume  in Celebration of Andrews 70th  birthday)     (2010),  pages 243-251.
36. Jacobi  forms over complex  quadratic fields via the cubic  Casimir operator (with C. Conley and O. Richter)
    Commentarii Mathematici Helvetici  87 (2012), pages 825-859.
37. Asymptotics for rank and crank moments (with K. Mahlburg and R. Rhoades)
    Bulletin of the London Mathematical Society 43  (2011), pages 661-672.
38. Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms (with O. Richter)
    Advances in  Mathematics 225  (2010), pages 2298-2315.
39. Inequalities for differences of Dyson´s rank for all odd moduli (with B. Kane)
    Mathematical Research Letters 17  (2010), pages 927-942 .  
40. Multiplicative q-hypergeometric series arising from real quadratic fields (with B. Kane)
    Transactions of the American Mathematical Society 363  (2011), pages 2191-2209.
41. An extension of the Hardy-Ramanujan Circle Method and  applications to partitions without sequences (with K. Mahlburg )
    American Journal  of Mathematics  133  (2011), pages 1151-1178.
42. Some characters of Kac and Wakimoto and nonholomorphic modular functions (with K. Ono)
    Mathematische Annalen 345 (2009), pages 547- 558.                                                                                     
43. Inequalities between crank and rank moments (with K. Mahlburg)
    Proceedings of the American Mathematical Society  137 (2009), pages 2567-2574.  
44. q-series and weight 3/2 Maass forms (with A. Folsom and  K. Ono)
    Compositio Mathematica 145 (2009), pages 541- 552.  
45. Coefficients of harmonic Maass forms (with K. Ono)
    Proceedings of the 2008 University of Florida Conference on Partitions, q-series, and modular forms..
46. Rank-crank type PDE's and non-holomorphic Jacobi forms (with S. Zwegers)
    Mathematical Research Letters 17 (2010),  pages. 589-600.
47. Rank and crank moment for overpartitions (with J. Lovejoy and R. Osburn)
    Journal of Number Theory 129 (2009), pages 2567-2574.
48. Automorphic properties of generating functions for generalized rank moments and Durfee symbols (with J. Lovejoy and R. Osburn)
    International Mathematics Research Notices (2010), rnp131.
49. Partition statistics and quasiharmonic Maass forms (with F. Garvan and K. Mahlburg)
    International Mathematics Research Notices (2008), rmn 124.
50. Overpartitions and class numbers of binary quadratic forms (with J. Lovejoy)
    Proceedings of the National Academy of Sciences of the United States of America 106 (2009), pages 5513-5516.
51. On the explicit construction of higher deformations of partition statistics
    Duke Mathematical Journal 144 (2008), pages 195-233.
52. Eulerian series as modular forms (with K. Ono and R. Rhoades)
    Journal of the American Mathematical Society 21 (2008), pages 1085-1104.
53. Mock theta functions, weak Maass forms, and applications
    Modular forms, Conference proceedings of the Conference in Schiermonnikoog 2006.
54. Dyson's rank, overpartitions, and weak Maass forms (with J. Lovejoy)
    International Mathematics Research Notices (2007).
55. Arithmetic properties of non-harmonic weak Maass forms (with D. Penniston)
    Proceedings of the American Mathematical Society 137 (2009), pages 825-833. 
56. Ramanujan type congruences and Jacobi forms (with B. Heim)
    International Mathematics Research Notices (2007)
57. Rank and congruence for overpartition pairs (with J. Lovejoy)
    International Journal of Number Theory 4 (2008), pages 303-322.
58. Lifting elliptic cusp forms to Maass forms with an application to partitions (with K. Ono)
    Proceedings of the National Academy of Sciences of the United States of America 104 (2007), pages 3725-3731.
59. On Jacobi Poincare series of small weight (with T. Yang)
    International Mathematics Research Notices (2007).
60. On a conjecture of Koike on identities between Thompson series and Roger-Ramanujan function (with H. Swisher) Corrigendum
    Proceedings of the American Mathematical Society 135 (2007), pages 2317-2326.
61. Maass-Jacobi forms over complex quadratic fields (with O. Richter and C. Conley)
    Mathematical Research Letters 14 (2007), pages 137-156.
62. On certain congruences for Dyson's ranks
    International Journal of Number Theory 5 (2009), pages 573- 584.  
63. Asymptotics for rank partition functions
    Transactions of the Amererican Mathematical Society 361  (2009), pages 3483-3500.
64. Dyson's ranks and Maass forms (with K. Ono)
    Annals of Mathematics 171 (2010), pages 419-449.
65. The $f(q)$ mock theta function conjecture and partition ranks (with K. Ono)
    Inventiones Mathematicae 165 (2006), pages 243-266.
66. A Converse Theorem for Hilbert-Jacobi forms (with S. Hayashida)
    The Rocky Mountain Journal of Mathematics 39 (2009), pages 423-435.
67. On the boundary behaviour of automorphic forms (with B. Kane, and W. Kohnen)
    International Journal of Number Theory 2 (2006), pages 187-194.
68. An arithmetic formula for the partition function (with K. Ono)
    Proceedings of American Mathematical Society 135 (2007), pages 3507-3514.
69. Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series (with K.Ono)
    Mathematische Annalen 337 (2007), pages 591-612.
70. Traces of singular moduli on Hilbert modular surfaces (with K. Ono and J. Rouse)
    International Mathematics Research Notices 47 (2005), pages 2891-2912.
71. Identities of traces of singular moduli (with K. Ono)
    Acta Arithmetica  119 (2005), pages 317-327.
72. On Fourier coefficients of Siegel cusp forms
    Proceedings of the ELAZ-Conference 2004, pages 34-43.
73. Lifting maps from a Vector Space of Jacobi cusp forms to a subspace of elliptic modular forms
    Mathematische Zeitschrift 253 (2006), 735-752.
74. Estimates of Fourier coefficients of Siegel cusp forms for subgroups and in the case of small weight
    Journal of the London Mathematical Society 73 (2006),31-47.
75. Asymptotic Formulas for some restricted partition functions
    Ramanujan Journal 12 (2006), pages 257-266.