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.

7. “Counting nodal lines of random waves on planar domains” (joint with John Toth), Int. Math. Res. Not. (IMRN) 2009, no. 18, 3337–3365.

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)

10. “Scalar curvature and Q-curvature for random metrics” (joint with Yaiza Canzani and Dmitry Jakobson), short announcement to appear, Electronic Research announcements of the AMS.

11. “Gaussian point count statistics for families of curves over a fixed finite field" (joint with Par Kurlberg)