Hi,
The last I heard, Tim Keating was the chef. He was brought in about 18 months ago when Jens Dahlmann went over to the California Grill. Here is Mr. Keating's biography from WDW Public Relations:
Chef Tim Keating, Flying Fish Cafe – Keating oversees a talented staff in the on-stage kitchen at the award-winning restaurant. The New Jersey-born chef began his culinary career in his early teens and mastered his craft at several top California hotels. He is a founding member of the Chefs Collaborative, a nationwide group that supports local farmers and inspires their customers to choose nutritious and sustainable foods. Flying Fish Cafe at Disney's BoardWalk features seasonal cuisine with influences from around the globe.