**Preprints/Publications:**

- Four identities for third order mock theta functions (with George E. Andrews, Bruce C. Berndt, Song Heng Chan, and Sun Kim), submitted.
- Zeros of normalized combinations of $\xi^{(k)}(s)$ on $\Re s=1/2$
(with Sneha Chaubey, Nicolas Robles, and Alexandru Zaharescu),
*J. Math. Anal. Appl.*, to appear. - Partitions into $k$th powers of terms in an arithmetic progression
(with Bruce C. Berndt and
Alexandru Zaharescu),
*Math. Z.*, to appear. - Spatial statistics of Apollonian Gaskets (with Weiru Chen, Mo Jiao, Calvin Kessler, and
Xin Zhang),
*Exp. Math.*, to appear. - Divisibility properties of sporadic Apéry-like numbers (with Armin Straub),
*Research in Number Theory***2**(2016), no. 1, 1-26 [pdf] - Extensive parity analysis of broken $5$-diamond partitions (with
Bernard L.S. Lin and Andrew Y.Z. Wang),
*Int. J. Number Theory***12**(2016), no. 1, 219-236 [pdf] - Geometry of Farey-Ford Polygons (with Jayadev S. Athreya , Sneha Chaubey and Alexandru Zaharescu),
*New York J. Math.***21**(2015), 637-656 [pdf] - $k$-moments of distances between centers of Ford circles (with Sneha Chaubey and Alexandru Zaharescu),
*J. Math. Anal. Appl.***422**(2015), no. 2, 906-919 [pdf] - On the parity of broken $k$-diamond partitions (with Sneha Chaubey, Wei Cheng and Alexandru Zaharescu),
*Ann. Univ. Ferrara Sez. VII Sci. Mat.***60**(2014), no. 2, 347-361 [pdf] - The Siegel norm, the length function and character values of finite groups (with Florin Stan and Alexandru Zaharescu),
*Indag. Math.*(N.S.)**25**(2014), no. 3, 475-486 [pdf]

**Research awards/fellowships:**

- Bateman Prize in Number Theory, UIUC, 2016-17.
- David G. Bourgin Mathematics Fellowship, UIUC, 2016-17.
- Bateman Fellowship in Number Theory, UIUC, 2015-16.
- Arnold O. Beckman Research Award (with B. C. Berndt), UIUC, 2014-15.
- Council of Scientific and Industrial Research-Junior Research Fellowship, Indian Institute of Science, 2010-11.
- Ministry of Human Resources and Development, Research Scholarship, Indian Institute of Science, 2008-10.