Awards & Honors
- AMC 12(A) – 123/150; Distinction (Top 5%) [Potential Candidate for DHR Top 1%] (2024)
- AIME – 8/15; School Rank #1 (2024)
- AMC 12(A) – 115.5/150; Distinction (Top 5%) (2023)
- SMT (Stanford Math Tournament) – World Rank #8/1500 in Calculus; Distinguished Honors in Algebra (2024)
- BMT (Berkeley Math Tournament) – World Rank #11/650 in Calculus; Honors in Algebra (2024)
- Pascal Contest (CEMC) – Top 1% – Student Honor Roll IV (2022)
- Hypatia Contest (CEMC) – Top 2% – Student Honor Roll IV (2024)
- ABWA Infinity by BITS Pilani – India Rank #3/204 (2024)
- Purple Comet! Math Meet – Top 3% (2024)
- AIMO (Asia International Mathematical Olympiad) Gold Medal (2024)
- HKIMO (Hong Kong International Mathematical Olympiad) Gold Medal (2024)
- PIMSO (Philippine International Math and Science Olympics) Gold Medal (2024)
- Top 12% worldwide in 2024 Euclid Math Contest by CEMC/UWaterloo: School Rank #1
- Top 10% worldwide in 2024 Fermat Math Contest by CEMC/UWaterloo.
Enrichment Programs
SUMaC (Stanford University Mathematics Camp)
Jun 2024
At the Stanford University Mathematics Camp (SUMaC), I had the opportunity to delve into advanced mathematical concepts such as abstract algebra and number theory. During the rigorous four-week program, I explored topics like group theory, Galois theory, and cryptosystems, culminating in a research project on polygon constructibility.
Program in Algorithmic and Combinatorial Thinking (PACT)
June-July 2023
At the Program in Algorithmic and Combinatorial Thinking (PACT), a 4-week intensive online summer program conducted by Professor Rajiv Gandhi of UPenn, I gained in-depth knowledge of mathematical concepts fundamental to computer science, such as graph theory, combinatorics, statistics, and probability. The intensive program helped me strengthen my problem-solving skills and understand the formal logic and mathematical intuition behind complex algorithms.
Research
SUMaC Research Project
Jun-Aug 2024
For my SUMaC research project, I investigated the Gauss-Wantzel Theorem, focusing on the necessary and sufficient conditions for constructing regular polygons. Using Galois Theory and Cyclotomic Field Theory, I explored the connection between constructibility and Fermat primes, culminating in a deeper understanding of the abstract nature of geometry.
Fractional Calculus: Real-Ordered Derivatives & Integrals
2024 (All-Year)
For my Mathematics Extended Essay, I explored the concept of fractional calculus, specifically focusing on the Riemann-Liouville Fractional Derivative and Integral. I characterized the extension of derivatives and integrals to real orders, investigated their properties, generalized the fractional differintegral of polynomials, and compared different approaches such as the Caputo and Grunwald-Letnikov formulations. I also examined possible real-world applications of fractional calculus at the end of my essay.
Statistical Analysis of Noise Pollution Levels
Aug-Sep 2024
In my research on the Statistical Analysis of Noise Pollution Levels in Pali Hill, I studied the impact of ongoing construction on local noise levels. By analyzing data from multiple construction sites, I evaluated the variation in sound levels during different work stages in the construction process and proposed solutions to mitigate the disruption for residents. I presented my research paper to the local authority, BMC, in order to catalyze further action regarding this major problem in my locality and Mumbai in general.
Internships
Optimization Techniques in Financial Market Analytics
Sep-Nov 2024
At Tara Capital Partners, I worked on developing a Monte Carlo Simulation Model to calculate the Value at Risk (VaR) for stock market portfolio curation. I applied data science and optimization techniques to real-world Indian market data, helping Tara Capital Partners create strategies for building diverse and balanced portfolios based on calculated risks.
