Assistant Professor,

Department of Mathematics,

Central Michigan University,

Mt. Pleasant, MI 48859,

USA.

E-mail: chakr2d@cmich.edu

I am a co-organizer of the CMU Analysis and Applied Mathematics Seminar. Please do contact me if you would like to give a talk.

- Fall 2015:
- Math 632 (Real Analysis): M W 02:00 PM-03:15 PM. Pearce 223.
- Math 644 (Differential Geometry) Tu Th 09:30 AM-10:45 AM. Pearce 224.

- Summer 2015:
- Math 696 D-- 2 weeks topics course ''Laplace's equation'' 29th June to 10th July. MTWTF 1:00 to 2:50 pm. Pearce 108.

- Spring 2015:
- Math 636 (Graduate Complex Analysis) 2:00 pm to 3:15 pm, Pearce 108.
- Math 545 (Topology): MW 3:30 pm to 4:45 pm, Pearce 108.

- Fall 2014:
- Math 632 (Real Analysis): Tu Th 12:30pm to 1:45 pm, Pearce 108.

- Spring 2014:
- Math 233 (Calc 3): MTWTF 11:00 am to 11:50 am, Dow 136

- Fall 2013:
- Math 132 (Calculus 1): Mon/Wed 1:00 pm to 2:50 pm , Pearce 136
- Math 625 (Associative Rings): Tues/Thurs 12:30 pm to 1:45 pm, Pearce 224

My research interests are in Complex Analysis, more particularly in * Several Complex Variables,* which is
basically the study of holomorphic functions (and other analytic objects) defined on complex manifolds of higher dimensions.
This area of mathematics is closely related to differential and algebraic geometry on one hand and PDE (boundary value problems) on the other.
An elementary introduction, giving the flavor of the area may be found in this
popular article.
(disclaimer: although most of the article in this link was written by me, the comments in the margins and a number of typos in the text were contributed
by the publishers of the magazine where it appeared.)

- Distributional boundary values of holomorphic functions on product domains. (Joint with Rasul Shafikov)
*Submitted.* - Some non-pseudoconvex domains with explicitly
computable non-Hausdorff Dolbeault cohomology
*Submitted.* - $L^p$ mapping properties of the Bergman projection on the Hartogs triangle (Joint with Yunus E. Zeytuncu)To appear in
*Proceedings of the AMS .* - Hölder estimates for Cauchy-Type Integrals and proper holomorphic mappings of symmetric products (Joint with Evan Castle, David Gunderman, and Ellen Lehet)
*Submitted.*The research reported in this article was conducted during the NSF funded Research Experience for Undergraduates at Central Michigan University. - Function theory and holomorphic maps on symmetric products of planar domains
(Joint with Sushil Gorai.) To appear in
*Journal of Geometric Analysis.* - The $L^2$ cohomology of a bounded smooth Stein domain is not necessarily Hausdorff
(Joint with Mei-Chi Shaw)To appear in
*Mathematische Annalen .* - Condition R and holomorphic mappings of domains with generic corners
(Joint with Kaushal Verma)
*Illinois Journal of Mathematics.* - Condition R and proper holomorphic maps between equidimensional product domains
(Joint with Kaushal Verma.)
*Advances in Mathematics.* - On a remarkable formula of Ramanujan
(Joint with Gopala Krishna Srinivasan.)
*Archiv der Mathematik.* - Sobolev Regularity of the $\overline{\partial}$-equation on the Hartogs Triangle (Joint with Mei-Chi Shaw.)
*Mathematische Annalen* - A Class of Domains with noncompact $\bar{\partial}$-Neumann operator
*Proceedings of the AMS.* - $L^2$ Serre Duality on Domains in Complex Manifolds and Applications (Joint
with Mei-Chi Shaw.)
*Transactions of the AMS.* - The Cauchy-Riemann Equations on Product Domains (Joint
with Mei-Chi Shaw.)
*Mathematische Annalen*. - Spectrum of the complex Laplacian on product domains
*Proceedings of the AMS*. - CR Functions on Subanalytic Hypersurfaces (Joint
with R. Shafikov.)
*Indiana University Mathematics Journal*. - Holomorphic Extension of CR Functions from Quadratic Cones(Joint with R. Shafikov)
*Mathematische Annalen* - Sets of Approximation and Interpolation in C for
manifold-valued map
*Journal of Geometric Analysis.* - Coordinate neighborhoods of arcs and the approximation
of maps into (almost) complex manifolds
*Michigan Math. J.*