Catalan Conjecture

Yoshitomi, Kentaro Yoshitomi, Kentaro- Kyoto University. Computational number theory. Elliptic curve and Jacobian arithmetic classes for LiDIA. Yildirim, Yalcin Yildirim, Yalcin- Bogaziçi University. Small gaps between consecutive primes. Yukie, Akihiko Yukie, Akihiko- Tohoku University. Geometric invariant theory, Zeta functions for prehomogeneous vector spaces, Applications to the Oppenheim conjecture. Ye, Yangbo Ye, Yangbo- University of Iowa. Automorphic forms, Group representations, Automorphic L-functions, Relative trace formulae, Exponential sums, Distribution of primes.