Science

University of California at San Diego. Spectra of Laplacians and adjacency operators of Cayley and Ramanujan graphs; Selberg trace formula; Fourier analysis on finite and infinite groups; Zeta functions of graphs; Automorphic forms. Papers, books.

Leiden University. Diophantine analysis, analytic number theory.

Technische Universität Graz. Uniform distribution and discrepancy; Diophantine equations; asymptotic analysis; algorithmic number theory; fractal structures in number theory; stochastic analysis; information-based complexity; quasi-Monte Carlo methods; mathematics in finance.

University of Groningen. Arithmetic algebraic geometry.

Institute for Information Transmission Problems, Russian Academy of Sciences. Algebraic geometry in relation to number theory (varieties over non-algebraically closed fields, especially over finite fields and number fields, parallelism between the function field and number field case, curves, rational varieties, rational points and zero-cycles, elliptic curves and abelian varieties, towers of varieties and asymptotic theory); Number theory (global fields, zeta-functions); Error-correcting codes; Lattices and sphere packings

Steklov Institute of Mathematics at St. Petersburg. Contact information.

Rutgers University. Teaching information.

University of Debrecen. Effective methods for Diophantine equations. Publications, thesis, software.

University of Crete. Explicit solution of diophantine equations. Publications.