Online Publications:

· Refereed Full Research Papers:

1. “Counting singular matrices with primitive row vectors” – Monatsh. Math. 144 (2005), no. 1, 71--84.

2. “The distribution of lattice points in elliptic annuli”, Q. J. Math. 57 (2006), no. 3, 395--423.

3. “Statistics of lattice points in thin annuli for generic lattice”, Doc. Math. 11 (2006), 1--23 (electronic).

4. “The Leray measure of nodal sets for random eigenfunctions on the torus” (joint with Ferenc Oravecz and Zeev Rudnick), Ann. Inst. Fourier (Grenoble) 58 (2008), no. 1, 299—335.

5. “On the volume of nodal sets for eigenfunctions of the Laplacian on the torus” (joint with Zeev Rudnick), Ann. Henri Poincaré 9 (2008), no. 1, 109--130.

6. “On the distribution of the nodal sets of random spherical harmonics“,J
. Math. Phys.

50 (2009), no. 1, 013521.

7. “Counting nodal lines of random waves on planar domains” (joint with John Toth), International Mathematics Research Notices, to appear (2009), available online

http://imrn.oxfordjournals.org/cgi/reprint/rnp052v1.

8. “Fluctuations of the nodal length of random spherical harmonics”, Comm. Math. Phys, to appear (2010)

9. “The distribution of the zeroes of random trigonometric polynomials” (joint with Andrew Granville), Amer. Jour. Math., to appear (2010)

· Submitted Research Papers:

· Research Papers in Preparation:

1. “The distribution of nodal lines of random eigenfunctions of the Laplacian on the torus” (joint with Manjunath Krishnapur).

2. “Scalar curvature and Q-curvature for random metrics” (joint with Yaiza

Canzani and Dmitry Jakobson).

10. “Fluctuations of the nodal length of random Gaussian subordinated spherical harmonics”.

· Research in Progress:

1. “Universality of length distribution of nodal lines of random waves on generic surfaces” (joint with John Toth)

2. “The distribution of generic functional of random spherical harmonics” (joint with Domenico Marinucci)