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 12319–12344 (2015)
D. Kelmer and A. Kontorovich On the Pair Correlation Density for Hyperbolic Angles. Duke Math. J. 164 473–509 (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, 1067–1085 (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), 539–561.
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), 1613–1653.
D. Kelmer, Scarring for quantum maps with simple spectrum. Compos. Math. 147 (2011), 1608–1612. 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), 1135–1164. doi:10.1093/imrn/rnq107. 3
D. Kelmer, Distribution of twisted Kloosterman sums modulo prime powers. Int. J. Num. Theory 6 (2010), 271–280. MR2646758
D. Kelmer, Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus. Ann. of Math. (2) 171 (2010), 815–879. MR2630057
L. Bary-Soroker and D. Kelmer, On PAC extensions and scaled trace forms. Israel J. Math. 175 (2010), 113–125. 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), 283–313. MR2486935
D. Kelmer, On matrix elements for the quantized cat map modulo prime powers. Ann. Henri Poincar ́e 9 (2008), 1479–1501. MR2465732
D. Kelmer, Quantum ergodicity for products of hyperbolic planes. J. Mod. Dyn. 2 (2008), 287–313. MR2383269
D. Kelmer, Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms. Comm. Math. Phys. 276 (2007), 381–395. 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), 2223–2236. MR2181455