Courses Taught

1. Operator Algebras, August-November, 2006.
   Recommended Texts:
   • Takesaki, M. Theory of operator algebras. I. Reprint of the first (1979) edition. Encyclopaedia of Mathematical Sciences, 124. Operator Algebras and Non-commutative Geometry, 5. Springer-Verlag, Berlin, 2002.
   • Raeburn, Iain; Williams, Dana P. Morita equivalence and continuous-trace C^*-algebras. Mathematical Surveys and Monographs, 60. American Mathematical Society, Providence, RI, 1998.
   • Rieffel, Marc A. Induced representations of C^*-algebras. Advances in Mathematics, 13 (1974), 176–257.

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2. Noncommutative Geometry, January-April, 2007.
   Recommended Texts:
   • Blackadar, Bruce K-theory for operator algebras. Second edition. Mathematical Sciences Research Institute Publications, 5. Cambridge University Press, Cambridge, 1998.
   • Jensen, Kjeld Knudsen; Thomsen, Klaus Elements of KK-theory. Mathematics: Theory & Applications. Birkhäuser Boston, Inc., Boston, MA, 1991.

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3. Complex Analysis, January-April, 2008
   Recommended Texts:
   • Lang, Serge Complex analysis. Fourth edition. Graduate Texts in Mathematics, 103. Springer-Verlag, New York, 1999.
   • Narasimhan, Raghavan; Nievergelt, Yves Complex analysis in one variable. Second edition. Birkhäuser Boston, Inc., Boston, MA, 2001.
   • Forster, Otto Lectures on Riemann surfaces. Translated from the 1977 German original by Bruce Gilligan. Reprint of the 1981 English translation. Graduate Texts in Mathematics, 81. Springer-Verlag, New York, 1991.

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4. Banach Algebra K-theory, August-November, 2009
   Recommended Texts:
   • Bhatia, Rajendra Notes on functional analysis. Texts and Readings in Mathematics, 50. Hindustan Book Agency, New Delhi, 2009.
   • Takesaki, M. Theory of operator algebras. I. Reprint of the first (1979) edition. Encyclopaedia of Mathematical Sciences, 124. Operator Algebras and Non-commutative Geometry, 5. Springer-Verlag, Berlin, 2002.
   • Wegge-Olsen, N. E. K-theory and C^*-algebras. (English summary) A friendly approach. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1993.
   • Notes of Gowers

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5. Topology, September-December, 2010.
   Recommended Texts:
   • Bredon, Glen E. Topology and geometry. Corrected third printing of the 1993 original. Graduate Texts in Mathematics, 139. Springer-Verlag, New York, 1997.
   • Lundell A. and Weingram, S. The Topology of CW-Complexes
   • Munkres, James R. Topology: a first course. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1975.
   • Hatcher, Allen Algebraic topology. Cambridge University Press, Cambridge, 2002.
   • Forster, Otto Lectures on Riemann surfaces. Translated from the 1977 German original by Bruce Gilligan. Reprint of the 1981 English translation. Graduate Texts in Mathematics, 81. Springer-Verlag, New York, 1991.

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