Nondischargeable. The Second Circuit, in Ball v. A.O. Smith Corp., has held that a judgment of sanctions entered against a lawyer under 28 U.S.C. 1927 and Rule 11 of the Federal Rules of Civil Procedure is a non-dischargeable debt for "willful and malicious injury by the debtor to another" for purposes of Bankruptcy Code 523(a)(6).

The decision in that case can be found here.