Nitu Kitchloo's homepage

Nitu Kitchloo

Title: Professor and Chair

Office: 214 Krieger Hall

Department of Mathematics

Johns Hopkins University

3400 N. Charles Street.

Baltimore, MD 21218.

Phone: (410) 516-4321

Email:nitu@math.jhu.edu

Personal Description:

Hi, my name is Nitya Kitchloo (Nitu to friends) and I am an Professor in the math department at Johns Hopkins University, Baltimore, MD.

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.

Teaching

List of Publications and Preprints (see CV for more recent publications):

N. Kitchloo and S. Wilson. The ER(n)-cohomology of BO(q) and real Johnson-Wilson orientations for Vector bundles Bulletin of the London Math. Soc., 47 (5), 835-847, 2015.
N. Kitchloo and S. Wilson. The Morava K-theory of BO(q) and MO(q) . Algebraic and Geometric Topology, 15, 3049-3058, 2015.
N. Kitchloo. The Stable Symplectic category and Quantization . Contemporary Math. (AMS), Vol. 620, 251-280, 2014.
N. Kitchloo. On the Topology of Kac-Moody groups . Math. Zeit. 276, No. 3-4, 727-756, 2014.
N. Kitchloo. Quantization of the Modular Functor and Equivariant Elliptic cohomology . Manuscript, 2014.
N. Kitchloo. Cohomology operations and the Nil-Hecke ring . Manuscript, 2013.
N. Kitchloo. The Landweber-Novikov algebra and Soergel bimodules . Manuscript, 2013.
N. Kitchloo. On some applications of unstable Adams operations to the topology of Kac-Moody groups . Manuscript, 2013.
N. Kitchloo and J. Morava. The Stable Symplectic category and a conjecture of Kontsevich . Manuscript, 2013. This paper was previously titled: The Grothendieck-Teichmuller group and the stable symplectic category.
N. Kitchloo and S. Wilson. Unstable Splittings of Real spectra , Algebraic and Geometric Topology, Vol. 13, No. 2, 1053-1070, 2013.
J. Morava and N. Kitchloo. The Baker-Richter spectrum as cobordism of quasitoric manifolds . Manuscript, 2012.
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.

Erratum: Dominant K-theory and integrable highest weight representations of Kac-Moody groups
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.