By Michael S. Derby NEW YORK (Reuters) – New York Federal Reserve President John Williams said on Monday the U.S. central bank still has more work to do to lower very high levels of inflation, and he also noted he expects to see a notable jump in unemployment as a result of this policy path. “Inflation is far too high, and persistently high inflation undermines the ability of our economy to perform at its full potential,” Williams said. He noted that there have been signs of progress in lowering inflation, but added that more Fed action will be needed to get inflation back to the central bank’…