Tsfasman, Michael
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