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.
http://imrn.oxfordjournals.org/cgi/reprint/rnp052v1.
·
Research
Papers in Preparation:
2. “Scalar curvature and Q-curvature for random
metrics” (joint with Yaiza
10. “Fluctuations of the nodal length of random Gaussian subordinated
spherical harmonics”.