RESEARCH INTERESTS

• Analytic Number Theory, Group Actions, Automorphic Forms
• Collaborators: Dorian Goldfeld, Peter Sarnak, Jeff Hoffstein, Hee Oh, Steven J. Miller, Melvyn B. Nathanson, Yakov G. Sinai, Aviezri S. Fraenkel, John F. Nash, Jr.

PAPERS

• The Hyperbolic Lattice Point Count in Infinite Volume with Applications to Sieves, Submitted.
• The Prime Number Theorem on the Nose, Preprint.
• The Sierpinski Sieve of Nim-varieties and Binomial Coefficients, with Aviezri S. Fraenkel, in: Combinatorial Number Theory, Proc. Integers Conference 2005, in celebration of the 70th birthday of Ronald Graham, Carrollton, Georgia, Oct. 27-30, 2005; B. Landman, M. Nathanson, J. Nesetril, R. Nowakowski, C. Pomerance, eds., de Gruyter, pp. 209-227, 2007. To appear also in INTEGERS, Electr. J. Combinat. Number Theory 7, special volume in honor of Ron Graham.
• Quadratic addition rules for quantum integers, with Melvyn B. Nathanson, Journal of Number Theory, Vol 117, Issue 1, March 2006, pp. 1-13.
• Benford's Law, values of L-functions and the 3x+1 Problem, with Steven J. Miller, Acta Arithmetica 120 (2005), 269-297.
• Structure Theorem for (d,g,h)-Maps, with Yakov G. Sinai, Bulletin of the Brazilian Mathematical Society, New Series 33(2), 2002, pp. 213-224.
• Red Square Dancing, with Bryan Walsh, Maxim Magazine, July 2001.

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