Ritwik Mukherjee

I obtained my PhD in mathematics from Stony Brook University under the supervision of Aleksey Zinger. 
I am presently a postdoc at TIFR. My research interests are Enumerative Geometry using Topological methods. 

Here is a brief description of my research and my CV.  

Preprints and Papers: 
Enumeration of curves with two singular points.                                                                 Here is the link to the journal site.     
(Published by Bulletin des Sciences Mathématiques)                                                         Here is the arXiv version.               
Enumeration of singular hypersurfaces on arbitrary complex manifolds.                             Here is the arXiv version.
(Accepted by International Journal of Mathematics) 

Enumeration of curves with one singular point.                                                                  Here is the arXiv version.
(Accepted by Journal of Geometry and Physics) 


Probability distribution of constrained Random Walks.                                                        Here is the arXiv version.

Rational cuspidal curves on del-Pezzo surfaces.                                                                Here is the arXiv version.

Genus one enumerative invariants in del-Pezzo surfaces.                                                  Here is the arXiv version.

Genus two enumerative invariants in del-Pezzo surfaces.                                                   Here is the arXiv version.

Enumeration of curves with upto seven singular points in a general linear system. 
(in preparation)

(This manuscript contains a few straightforward details that were omitted from our papers.)

(This manuscript contains a self contained proof of the general position 
argument used in our paper on Hypersurfaces.)

Program to Enumerate Curves:

This is a sage program and is quite user friendly.  

( Here is a pdf file of the output.)           

(The recursive formula in this program is slightly different from the previous program; the final formula is the same 
in both the cases.) 

Contact Information: 
email: ritwikm[at]math.tifr.res.in