WASHINGTON — Revelations that Treasury Secretary-designate Tim Geithner employed an illegal immigrant and failed to pay self-employment taxes are likely to slow — but not stop — his nomination, according to lawmakers, ethics experts, and industry observers.

The Senate Finance Committee said Tuesday that Mr. Geithner failed to pay roughly $34,000 of taxes while employed at the International Monetary Fund from 2001 to 2005. Additionally, he employed a legal immigrant whose status lapsed for about three and a half months in 2005, the committee said.

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