# Ritwik Mukherjee

I obtained my PhD in mathematics from Stony Brook University. I am presently a Reader-F at NISER.

My research interests are Enumerative Geometry using Topological methods.

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

Teaching:

Fall 2016: I was teaching M304 (Topology).

Spring 2017: I was teaching M404 (Algebraic Topology).

Fall 2017: I was teaching M306 (Calculus of Severable Variables).

Spring 2018: I was teaching M404 (Algebraic Topology).

Fall 2018: I was teaching M483 (Introduction to Manifolds).

Spring 2019: I was teaching M102 (Introduction to Mathematics 2).

Fall 2019: I was teaching M201 (Real Analysis) and M555 (Harmonic Analysis)

Spring 2020: I was teaching M310 (Geometry of Curves and Surfaces) (cut short due to the COVID situation)

Fall 2020: I am currently teaching M483 (Introduction to Manifolds) (conducted online due to the COVID situation )

Published (or accepted) Papers:

(Published by Journal of Geometry and Physics) Here is the arXiv version.

Preprints:

Rational cuspidal curves in a moving family of P^2. Here is the arXiv version.

Collision of upto seven singular points.

(in preparation)

(submitted)

Notes:

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

Enumeration of singular hypersurfaces: general position arguments

(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.)

Mathematica program to enumerate curves with upto eight singular points in a general Linear System

(Here is a pdf file of the output.)

C++ program to enumerate genus two curves with a fixed complex structure on del-Pezzo surfaces (source code)

Haskell program to enumerate rational cuspidal curves on del-Pezzo surfaces (source code)

Mathematica program to count the number of genus 0 planar curves in P^3

Mathematica program to count planar degree d curves in P^3 with singularities till codimension 4

Contact Information:

email: ritwikm[at]niser.ac.in