Ken Ono's research interest is in number theory. He has
worked actively on questions related to Diophantine equations,
partitions, L-functions, elliptic curves and modular forms.
These objects are the main players in Wiles' proof of Fermat's
Last Theorem, and they are the subject of intense investigation.
Recently, Ono has been thinking about deceptively simple questions
such as:
1) When does the typical elliptic curve have a rational point?
2) Where do values of L-functions exist in nature?
3) What are ranks and cranks about?
4) What objects are modular?