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## PROJECTS

### Zero-Sum Theory
#### Zero-Sum Theory
- _Advisor:_ Prof. Eshita Mazumdar
- _Timeline:_ December, 2024 -- Present
- _References:_
- [Zero-sum sets of prescribed size](https://www.cs.tau.ac.il/~nogaa/PDFS/egz1.pdf)

### Integer Partitions and Symmetric Functions
#### Integer Partitions and Symmetric Functions
- _Advisor:_ Prof. Samrith Ram
- _Timeline:_ September, 2024 -- Present
- _Referenecs:_
- _Enumerative Combinatorics Vol. II_ -- _Richard P. Stanley_
- _The Symmetric Group_ -- _Bruce E. Sagan_
- _Integer Partitions_ -- _George E. Andrews_ & _Kimmo Eriksson_

### Algebraic Combinatorics and Tilings
#### Algebraic Combinatorics and Tilings
As a part of this project I started with exploring various topics in algebraic combinatorics but soon focused my attention on the theory of tilings. I studied extensively about rectangular tilings, honeycomb tilings, and benzel tilings. Later, I also studied about fault-free tilings.
- _Advisor:_ Prof. Samrith Ram
- _Timeline:_ May, 2024 -- October, 2024
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- _A Course in Enumeration_ -- _Martin Aigner_
- _Bijective Combinatorics_ -- _Nicholas Loehr_

### Structural Graph Theory
#### Structural Graph Theory
- _Advisor:_ Prof. Nishad Kothari
- _Timeline:_ May, 2024 -- July, 2024
- _Referenecs:_
- _Graph Theory_ -- _J.A. Bondy_ & _U.S.R. Murty_

### Hanoi Graphs, Sierpinski Graphs, and Sierpinski Triangle Graphs
#### Hanoi Graphs, Sierpinski Graphs, and Sierpinski Triangle Graphs
- _Advisor:_ Dr. Divya Sindhu Lekha
- _Timeline:_ June, 2023 -- August, 2023
- _Referenecs:_
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- _Project Report:_ Available [here](/pdfs/Hanoi_Graphs,Sierpinski_Graphs,Sierpinski_Triangle_Graphs.pdf)
- _Research Culmination:_ [The Median of Sierpinski Triangle Graphs](https://arxiv.org/abs/2408.12783)

### On the Relationship of Emotional Intelligence and Group Work Results of University Students
#### On the Relationship of Emotional Intelligence and Group Work Results of University Students
This was a group project done as a part of my Statistics-I course.
- _Advisor:_ Prof. Rituparna Sen
- _Timeline:_ January, 2023 -- April, 2023
- _Referenecs:_
- [The Relationship of Emotion Intelligence, Knowledge-Sharing and Group Work Results of Vietnam Students](https://www.semanticscholar.org/paper/The-Relationship-of-Emotion-Intelligence%2C-and-Group-Le-Pham/1060e3a6a5caea76acdfe61b8abecf80d9dbd6f2?p2df)
- _Report & Extension:_ Available [here](https://www.isibang.ac.in/~rsen/Stat1new/7.pdf)

## CONFERENCES ATTENDED

**AlCoVE: an Algebraic Combinatorics Virtual Expedition**
- _Timeline:_ 17-18 June, 2024
- _Organizers:_ Laura Colmenarejo, Maria Gillespie, Oliver Pechenik, and Liam Solus

**Workshop III: Statistical Mechanics Beyond 2D**
- _Timeline:_ 6-10 May, 2024
- _Organizers:_ IPAM, UCLA

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