11d4111g0511f1111f8011g18 algebraicnumbertheory arithmeticalgebraicgeometry(diophantinegeometry) arithmeticaspectsofmodularandshimuravarieties diophantineequations discontinuousgroupsandautomorphicforms fermat'slasttheorem galoisrepresentations higherdegreeequations;fermat'sequation holomorphicmodularformsofintegralweight numbertheory