Papers and preprints.
 

21.  Eigenvalues of sums of pseudo-Hermitian matrices.


For recent preprints available on the ArXiv, please click here.


20.  Generalized Kostant convexity theorems, accepted for publication in the
          Proceedings of A.M.S.

19.  Polygons in Minkowski space and the Gelfand-Tsetlin method for pseudounitary groups.  
          J. Geom. Phys., 58, 2008.

18.  (with M. Otto) Symplectic realization of van den Ban's convexity theorem for semisimple symmetric spaces,
           Documenta Mathematica,  11 (2006), 369--391.

17.   (with Lu, Jiang-Hua) Poisson structures on complex flag manifolds associated with real forms.
           Transactions of A.M.S., 358 (2006), no.4, 1705-1714.

16.   (with Hu, Yi)  Toric degeneration of weight varieties and applications, 
           Travaux mathématiques. Fasc. XVI,  87--105, Trav. Math., XVI, Univ. Luxemb., Luxembourg, 2005.

15.   A note on lagrangian loci of quotients.  
           Canad. Math. Bull., 48 (2005), no.4, 561-575.

14.  (with Lu, Jiang-Hua)  A Poisson structure on compact symmetric spaces,
         Comm. Math. Phys. 251 (2004),  no. 3, 557--566.

13.   (with Lozano, Guadalupe) The geometry of polygons in R^5 and quaternions,
          Geometriae Dedicata 105 (2004), 209-229.

12.   (with Leitner, Frederick)  Geometry of 4-vector fields on quaternionic flag manifolds.
          Comm. Math. Phys. 238 (2003), 119-129.

11.  Bruhat Poisson structure on CP^n and integrable systems.
          J. Math. Phys. 43 (2002), no. 6, 3124-3132.

10.  Tetraplectic structures, tri-momentum maps, and quaternionic flag manifolds.
          J. Geom. & Phys. 41 (2002), no. 4, 330-343.

9.  Moduli spaces of polygons and punctured Riemann spheres.
       Canad. Math. Bull. 43 (2000), no. 2, 162--173.

8.  Moduli spaces of parabolic bundles on curves of lower genera. Preprint, 1999

7.  Deformations of representations of fundamental groups of open Kähler manifolds.
       J. Reine Angew. Math. 513 (1999), 17--32.

6. Logarithmic forms with twisted coefficients.
      Advances in geometry, 183--193, Progr. Math., 172, Birkhäuser Boston, Boston, MA, 1999.

5. (with Brylinski, Jean-Luc) Moduli of flat bundles on open Kähler manifolds.
       J. Algebraic Geom. 8 (1999), no. 1, 147--168.

4.  Representations of fundamental groups of open Kaehler manifolds.
       Ph.D. thesis, PennState, 1998. Adviser: J.-L. Brylinski

3. Geometry of moduli spaces of flat bundles on punctured surfaces.
       Internat. J. Math. 9 (1998), no. 1, 63--73.

2. (with Tamarkin, Dmitry E.) Generalized topological index.
      K-Theory 12 (1997), no. 4, 361--369.

1. Wave propagation in two-phase flows. M. Sc. thesis.
     Comput. Cent. Rus. Acad. Sc. 1994.
 
 

Book.
 

(with Brylinski, Jean-Luc) Complex manifolds, vector bundles, and Hodge theory. Approx. 400 pages.

Preprint.  
 

Updated on  03/21/07