B.Sc., The Hebrew University of Jerusalem, Israel.
Ph.D., Tel Aviv University
Papers
D. Kelmer Approximation of points in the plane by generic lattice orbits. Preprint arXiv:/1606.08540.
A. Ghosh, D. Kelmer A Quantitative Oppenheim Theorem for generic ternary quadratic forms. Preprint arXiv:/1606.02388.
A. Ghosh, D. Kelmer Shrinking Targets for Semisimple Groups. Preprint arXiv:/1512.05848.
D. Kelmer and A. Kontorovich Effective equidistribution of shears and applications. Preprint arXiv:/1506.05534.
D. Kelmer On the mean square of the remainder for the Euclidean lattice point counting problem. Israel J. of Math. (to appear), Preprint arXiv:/1512.06012.
D. Kelmer Lattice points in a circle for generic unimodular shears. Int. J. Num. Theory (to appear) Preprint arXiv:/1508.00487.
D. Kelmer On distribution of poles of Eisenstein series and the length spectrum of hyperbolic manifolds. Int. Math. Res. Not. Vol. 2015 23 12319鈥12344 (2015)
D. Kelmer and A. Kontorovich On the Pair Correlation Density for Hyperbolic Angles. Duke Math. J. 164 473鈥509 (2015).
D. Kelmer A refinement of strong multiplicity one for spectra of hyperbolic manifolds. Tran. Amer. Soc. 366, 5925-5961 (2014).
D. Kelmer and L. Silberman, A uniform spectral gap for congruence covers of a hyperbolic manifold. Amer. J. Math. 135, 1067鈥1085 (2013).
D. Kelmer, Hybrid trace formula for a non-uniform irreducible lattice in PSL 2(R) n. J. Number Theory 133 (2013), 2277-2306.
D. Kelmer, Quadratic irrationals and linking numbers of modular knots. J. Mod. Dyn. 6 (2012), 539鈥561.
D. Kelmer and A. Mohammadi, Logarithm laws for one parameter unipotent flows. Geom. Funct. Anal. 22 (2012), 756-784.
D. Kelmer, Distribution of holonomy about closed geodesics in a product of hyperbolic planes. Amer. J. Math. 134, No. 6, (2012), 1613鈥1653.
D. Kelmer, Scarring for quantum maps with simple spectrum. Compos. Math. 147 (2011), 1608鈥1612. doi: 10.1112/S0010437X10005270
D. Kelmer, A uniform strong spectral gap for congruence covers of a compact quotient of PSL(2, R)d. Int. Math. Res. Not. (2011), 1135鈥1164. doi:10.1093/imrn/rnq107. 3
D. Kelmer, Distribution of twisted Kloosterman sums modulo prime powers. Int. J. Num. Theory 6 (2010), 271鈥280. MR2646758
D. Kelmer, Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus. Ann. of Math. (2) 171 (2010), 815鈥879. MR2630057
L. Bary-Soroker and D. Kelmer, On PAC extensions and scaled trace forms. Israel J. Math. 175 (2010), 113鈥125. MR2607539
D. Kelmer and P. Sarnak, Strong spectral gaps for compact quotients of products of PSL(2, R). J. Eur. Math. Soc. (JEMS) 11 (2009), 283鈥313. MR2486935
D. Kelmer, On matrix elements for the quantized cat map modulo prime powers. Ann. Henri Poincar 虂e 9 (2008), 1479鈥1501. MR2465732
D. Kelmer, Quantum ergodicity for products of hyperbolic planes. J. Mod. Dyn. 2 (2008), 287鈥313. MR2383269
D. Kelmer, Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms. Comm. Math. Phys. 276 (2007), 381鈥395. MR2346394
D. Kelmer, On the quantum variance of matrix elements for the cat map on the 4-dimensional torus. Int. Math. Res. Not. 2005 (2005), 2223鈥2236. MR2181455