From May 2018 to May 2019 I was working on Guillotine Cuts for Axis Parallel Rectangles. The general problem dates back to the paper Cutting Glass [Pach, Tardos] but the specific problem we’re working on is presented directly in On Guillotine Cutting Sequences [Abed, Chalermsook et al]. In particular, we want to know if one can always save Omega(n) rectangles and exactly what fraction is feasible. Such a lower bound would imply a polytime constant approximation for MISR (Maximum Independent Set on Rectangles), as explained in second linked paper. We found and explored an interesting link with Pattern Matching in permutations.

If you optimize everything, you will always be unhappy.

Donald Knuth

Experience

2019

Research Intern

Prof Bundit Laekhanukit | ITCS@SUFE

Visited Shanghai in the summer, hosted by Prof Bundit.

Mathematics for Data Science

IFCAM Summer School | IISc Bangalore

Selected for scholarship to attend the summer school.

2018

External reviewer for Journal of Computer and System Sciences (JCSS)

Prof Debajyoti Bera | IIIT Delhi

Teaching Assistant | Discrete Structures

Prof Rajiv Raman | IIIT Delhi

The course website can be found here.
For students of IIITD, the Backpack course is here.

Combinatorics & Graph Theory

Prof Samrith Ram | IIIT Delhi Internship

Selected to study various topics in Combinatorics and Graph Theory during the summer term.

2017

Graph Theory & Algorithms

ACM Summer School | IIT Gandhinagar

I was a scholar selected to study state of the art material from renowned professors. The school had the objective of motivating research and promoting collaboration.