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 Poincar� 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)