Oscar-winner Geena Davis, 45, has married for a fourth time, this time to her surgeon boyfriend of two years, Dr. Reza Jarrahy, 30. The couple said their "I dos" on Saturday in a small private ceremony in New York's Hamptons, Davis's Los Angeles-based publicist said on Tuesday, and the bride and groom intend to settle in Southern California, they announced in a joint statement. "We are very happy and we look forward to spending the rest of our lives together," they said. Davis previously was married to, and divorced from, restaurant manager Richard Emmolo, actor Jeff Goldblum and director Renny Harlin. Davis and Jarrahy met through mutual friends two years ago and became engaged last November. As PEOPLE reported at the time, Davis was then shooting an episode of her now-defunct ABC sitcom, "The Geena Davis Show." On their Burbank set, Davis and her costars, Peter Horton and Mimi Rogers, were trading Thanksgiving stories over coffee and bagels. "And then," recalled Horton, "Geena lifted her left hand from under the table, and I gasped." The star (her supporting actress Oscar was for 1988's "The Accidental Tourist"), was flashing a square-shaped diamond engagement ring that Jarrahy had given her over the weekend at their new L.A. house, still under construction. "Geena was just beaming," said Horton. "We had no inkling this was going to happen."