Yes, Oscar was nice. But now, "A Beautiful Mind" star Jennifer Connelly has found another man to share her life with.

The actress, 32, tied the knot over the holidays with her "Mind" costar, Paul Bettany, 31, TV's "Extra" reports.

Details about the wedding are sketchy, but Connelly's publicist, Cari Ross, confirms to PEOPLE.com that "she got married to Paul Bettany over the holidays in a small, private ceremony with just family in Scotland."

No word on where they planned to honeymoon. This is the first marriage for both.

The nuptials come less than a year after Connelly's breakup with former "Sports Night" star Josh Charles. And it's been a whirlwind romance for the actress and the British-born Bettany, who quietly began dating after her breakup last March.

The pair became "instant friends" while shooting "Mind" in summer 2001, Bettany told PEOPLE last July.

"I knew from the first moment I saw her we were meant for each other," he said.

Aside from a husband, Connelly also picked up the Best Supporting Actress trophy last March for her role in "A Beautiful Mind" as Russell Crowe's wife. Her credits also include "Requiem for a Dream" and "Pollock" -- and she has a 5-year-old son, Kai, from her relationship to photographer David Dugan.

Next up for Connelly (besides wedded bliss): a costarring role in this summer's "The Hulk."