Mathematics, translated by M. B. DeBevoise, Princeton University Press, 1998, Alain Connes, Noncommutative Geometry, Academic Press, 1994, See also Bost–Connes system Cyclic category Cyclic homology Factor (functional analysis) Higgs boson C*-algebra Noncommutative quantum field theory M-theory Groupoid Spectral triple Criticism of non-standard analysis Riemann hypothesis References External links Alain Connes Official Web Site containing downloadable papers, and his book Non-commutative geometry, . Alain Connes' Standard Model An interview with Alain Connes and a discussion about it 1947 births Living people 20th-century French mathematicians Foreign associates of the National Academy of Sciences 21st-century French mathematicians Academic staff of the Collège de France Institute for Advanced Study visiting scholars Fields Medalists Mathematical analysts Differential geometers École Normale Supérieure alumni Vanderbilt University faculty Foreign Members of the Russian Academy of Sciences Members of the French Academy of Sciences Members of the Norwegian Academy of Science and Letters Members of the Royal Danish Academy of Sciences and Letters Clay Research Award recipients