Dan Freed

Daniel Stuart Freed (born April 17, 1959 ) is an American mathematician who deals with global analysis and connections to mathematical physics ( supersymmetry , string theory , quantum field theory ).

Life

Freed graduated from Harvard University with a bachelor's and master's degree in 1981 and received his doctorate in 1985 with Isadore Singer at the University of California at Berkeley (The geometry of loop groups). As a post-graduate student , he was a Moore Instructor at the Massachusetts Institute of Technology and then an Assistant Professor at the University of Chicago . From 1989 he was Associate Professor and from 1994 Professor at the University of Texas at Austin . From 1996 to 1998 he was at the Institute for Advanced Study (IAS) and he was a visiting researcher at IHES (1995, 1999).

In 2002/2003 he was a Guggenheim Fellow and from 1988 to 1992 a Sloan Research Fellow . In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Twisted K-theory and loop groups). He is one of the founders of the IAS / Park City Mathematics Institute and has been on the Board of Trustees of the MSRI since 2006 , of which he has been a member of the Scientific Advisory Board since 2002. In 2014 he received a Senior Berwick Prize . He is a fellow of the American Mathematical Society .

Fonts

Books

• with Karen Uhlenbeck : Instantons and 4-Manifolds. Springer, 1984.
• with Karen Uhlenbeck (Ed.): Geometry and Quantum Field Theory. American Mathematical Society 1995.
• Five lectures on supersymmetry. American Mathematical Society 1999.
• with Pierre Deligne , Pavel Etingof , L. Jeffrey , David Kazhdan , John Morgan , David Morrison , Edward Witten (Eds.): Quantum Fields and Strings. A course for mathematicians. American Mathematical Society, Providence, Rhode Island 1999.
• with David R. Morrison , Isadore Singer (Eds.): Quantum Field Theory, Supersymmetry and Enumerative Geometry. IAS / Park City Mathematics Series 11, American Mathematical Society / Institute for Advanced Study 2006.
• Twisted K-theory and loop groups. Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002), 419-430, Higher Ed. Press, Beijing, 2002.

Working in specialist journals (selection)

• The geometry of loop groups. J. Differential Geom. 28 (1988) no. 2, 223-276.
• Classical Chern-Simons theory. I. Adv. Math. 113 (1995), no. 2, 237-303. II. Houston J. Math. 28 (2002) no. 2, 293-310.
• with Edward Witten : Anomalies in string theory with D-branes. Asian J. Math. 3 (1999), no. 4, 819-851.
• with Michael J. Hopkins , Constantin Teleman : Loop groups and twisted K-theory. IJ Topol. 4 (2011), no. 4, 737-798. II. J. Amer. Math. Soc. 26 (2013), no. 3, 595-644. III. Ann. of Math. (2) 174 (2011), no. 2, 947-1007.

Web links

• Homepage