M. Ram Murty

M. Ram Murty is a leading expert in the application of analytic mehtods to the study of modular forms and elliptic curves, as well as to other related questions of number theory. He has provided best-possible estimates of the coefficients of modular forms which has been previously obtainable only by use of unproved hypotheses. His work on Artin's conjecture on primitive roots provided the first unconditional evidence for this conjecture. He has made impressive progress towards a complete proof of conjectures of Serre and Lang-Trotter concerning primitive points on elliptic curves.