Research & Internship

I worked as a summer intern with Scatterpie, a data analytics consulting firm that helps businesses modernize their business intelligence by implementing and optimizing data analytics solutions. I interned with their data engineering team using software like Tableau and MySQL to build and optimize data pipelines for efficient data flow and storage. 

*I purposefully applied for this internship to understand and learn about the real world applications of statistical data analysis and data engineering, fields in mathematics that I intend to delve into, while pursuing my undergraduate major in Mathematics* 

Current Developments and Future Directions”, Review Paper Research Under Dr Alok S. Shah, University of Chicago 2025 : I have written a well researched literature review article as the first author on the topic - “Quantum Computing in Lung Disease Research: Current Developments and Future Directions”. This review paper explores in-depth the applications of quantum computing in respiratory medicine, where traditionally, computational complexity has limited progress, whereas quantum approaches show promise in early lung cancer detection with high accuracy. I worked with and did my research on this paper under the guidance and mentorship of Dr. Shah, a PhD in Molecular and Cellular Biology, assistant professor from the University of Chicago. 

*The review article has currently been peer-review accepted and is in the process of getting published in ECronicon Medical Journal.*

For my Extended Essay, I have come up with the innovative idea of exploring chaotic systems, specifically that of a double pendulum. Under the guidance of my teacher and HOD of the Mathematics Dept., Prof. Nagarjuna, I am researching deeply into this topic, learning and using Lagrangian mechanics to derive the double pendulum’s equations of motion, and then showing its chaotic nature using those equations. I am using a real-life double pendulum to then prove the chaotic nature of the system by comparing it with the theoretical simulation. This journey is deepening my understanding of various concepts from physics and mathematics, along with a realization of how chaotic systems affect us in our daily life, and the methods we use to understand those systems. 

 For my Mathematics Investigation (IA), I explored different methods to solve Pell’s equation across history, explaining how each one works, how they were derived originally, and how they improved over time as mathematical tools became more advanced. This experience has taught me a lot about the history of mathematics across many centuries and locations, and how the progression of humanity’s mathematical knowledge has affected our solutions to problems such as Pell’s equation.

As part of a Grade 10 academic enrichment program, I explored the field of astronomy and astrophysics under the mentorship of Professors Anantharaman S.V. and Sushan Konar. Through this project, I gained a deeper understanding of core physics concepts related to space, including orbital mechanics, stellar evolution, gravitational forces, and relativistic effects. To apply what I had learned, I selected a science fiction short story and conducted a detailed scientific analysis of the narrative. I examined how accurately the story portrayed astronomical phenomena, identifying areas where the science aligned with reality and where it diverged for dramatic or creative purposes, developed a comprehensive presentation that was showcased in front of the entire program cohort and faculty, sparking engaging discussions about the relationship between science and storytelling. The experience honed my skills in critical analysis, interdisciplinary thinking, and science communication, and strengthened my appreciation for how physics can be made accessible — and exciting — through narrative. 

As part of a hands-on academic project, I had the unique opportunity to explore the world of microscopy through the combined lenses of physics, biology, and engineering. I was fortunate to be mentored by two experts from Zeiss, Professors Manoj Mathew and Ashish Pandey, who guided me through both the theoretical foundations and practical applications of advanced microscopy. Under their mentorship, I learned about the optical physics behind different types of microscopy, the engineering of microscope systems and imaging technologies, the biological context of cellular structures and specimen preparation. I then conducted a comparative analysis of various biological samples using different microscopy techniques, including Brightfield, Darkfield, Phase-Contrast, Differential Interference Contrast (DIC) and Confocal Microscopy. For each technique, I captured video recordings and closely examined how image clarity, contrast, and structural details varied depending on the method used. With the support of the professors, I analyzed the strengths and limitations of each technique and learned how different setups are chosen based on the type of biological investigation.

This project not only enhanced my understanding of microscopic imaging, but also sparked my interest in the intersection of technology and life sciences, and how advanced imaging tools contribute to breakthroughs in research and medicine, and led to my review paper research on quantum computing and lung disease.

In Nuclear Fusion, my interest primarily stems from its potential to transform energy production and address critical global challenges. Fusion offers a clean, near-limitless energy source with no greenhouse gas emissions and minimal long-lived radioactive waste, which can be used in medical research. The quest for sustainable nuclear fusion demands interdisciplinary expertise in plasma physics and magneto hydrodynamics. I spent six months researching various articles, papers and online resources to develop this elementary booklet to raise awareness on the possibilities of nuclear fusion in transforming our world for mankind's pressing challenges of clean, limitless energy solutions. The aim was to educate a larger audience in a simple, easy to understand way about an esoteric topic generally not understood by the general public.

https://fliphtml5.com/svibe/unxq/Harnessing_the_Power_Of_Stars_A_Guide_to_Nuclear_Fusion_Final_Version/

This project was independently self-researched with the aim of educating my peers and stoking interest in the future applications of nuclear fusion.