Nitu Kitchloo

Title: Professor

Office: AP&M Building, Room 7250

Department of Mathematics

University of California, San Diego

9500 Gilman Drive.

La Jolla, CA 92093-0112.

Phone: (858) 534-2633

Email:nitu@math.ucsd.edu

Personal Description:

Hi, my name is Nitya Kitchloo (Nitu to friends) and I am an Professor in the math department at UCSD, La Jolla, CA.

I finished my Ph.D (June '98) at the Massachusetts Institute of Technology under the direction of Haynes Miller. In my thesis I studied the topology of certain infinite dimensional topological groups known as Kac-Moody groups.

  • Here is my CV.
  • Here is my research statement.

    Teaching

    This term I am scheduled to teach Math 20D: Introduction to Differential Equations..

    List of Publications and Talks:

  • N. Kitchloo. On the Topology of Kac-Moody groups . Manuscript, 2008.

  • N. Kitchloo. Slides of the talk on Kac-Moody groups delivered in Bonn , June 2008.

  • N. Kitchloo and J. Morava. Spin Cobordism Categories in Low Dimensions . Pure and Applied Mathematics Quarterly, Vol.6, No.2, 295-306, 2010.

  • M. Abreu, G. Granja and N. Kitchloo. Compatible complex structures on symplectic rational ruled surfaces . Duke Math. Journal, 148, No.3, 539-600, 2009.

  • R. Cohen, S. Galatius and N. Kitchloo, Universal moduli spaces of surfaces with flat connections and cobordism theory . Advances in Math., 221, 1227-1246, 2009.

  • N. Kitchloo. Dominant K-theory and integrable highest weight represenatations of Kac-Moody groups . Advances in Math., 221, 1191-1126, 2009.

  • N. Kitchloo and S. Wilson. The second real Johnson-Wilson theory and non-immersions of RPn, Part II . Homology, Homotopy and Applications, Vol. 10, No.3, 269-290, 2008.

  • N. Kitchloo and S. Wilson. The second real Johnson-Wilson theory and non-immersions of RPn . Homology, Homotopy and Applications, Vol. 10, No.3, 223-268, 2008.

  • N. Kitchloo and S. Wilson. On the Hopf ring of ER(n) . Topology and its Applications, 154, 1608-1640, 2007.

  • N. Kitchloo and J. Morava. Thom prospectra and Loop group representations . Elliptic Cohomology, London Math. Soc. Lecture Note Series (342), Cambridge Univ. Press, 214-238, 2007.

  • N. Kitchloo and S. Wilson. On Fibrations related to real spectra . Geometry and Topology, Monographs 10, 231-238, 2006.

  • M. Abreu, G. Granja, N. Kitchloo, Moment maps, symplectomorphism groups and compatible complex structures . J. Symplectic Geom. 3, 655-670, 2005.

  • J. Aguade, C. Broto, N. Kitchloo, and L. Saumell. Cohomology of the classifying spaces of central quotients of rank two Kac-Moody groups . J. Math. Kyoto Univ., 45, No.3, 449-488, 2005.

  • N. Kitchloo, G. Laures, and S. Wilson. Splittings of Bicommutative Hopf algebras . Journal of Pure and Applied Algebra, 194, No.1-2, 159-168, 2004.

  • N. Kitchloo, G. Laures, and S. Wilson. On the Morava K-theories of spaces related to BO . Advances in Mathematics, 189, No.1, 192-236, 2004.

  • S. Goette, N. Kitchloo, and K. Shankar. Diffeomorphism type of the Berger Space . American Journal of Mathematics, 126, 395-416, 2004.

  • T. Bauer, N. Kitchloo, D. Notbohm, and E. Pedersen. Finite loop spaces are manifolds . ACTA, 192, No.1, 5-31, 2004.

  • N. Kitchloo and G. Laures. Real structures and Morava K-theories . K-Theory, 25, 201-214, 2002.

  • N. Castellana and N. Kitchloo. A Homotopy construction of the Adjoint representation for Lie groups . Proceedings of the Cambridge Mathematical Society, 133, No.3, 399-409, 2002.

  • C. Broto and N. Kitchloo. Classifying spaces of Kac-Moody groups . Mathematische Zeitschrift, No.240, 621-649, 2002.

  • N. Kitchloo and K. Shankar. On Complexes equivalent to S3-bundles over S4 . International Mathematical Research Notices, 8, 381-394, 2001.

  • N. Kitchloo. Cohomology splittings of Stiefel manifolds . Journal of the London Mathematical Society, 64.2, 457-471, 2001.

  • N. Kitchloo. Topology of Kac-Moody groups . Thesis (under H. Miller), M.I.T, 1998.