Short Research Program
This program typically runs for a duration of 7 months and is offered in two cohorts: the Winter Cohort and the Summer Cohort.
LEARN MORERushil Reddy wins a second place in Pennsylvania Science Fairs.
Research in School: Build a Real Research Portfolio
Learn MoreResearch program at Cheenta
Cheenta has outstanding research programs for school students. Here students learn how real research is done—step by step, with close mentor guidance.
Learn MoreThree Levels of School Research at Cheenta
Advised by Leading Researchers in Pure and Applied Mathematics, Machine Learning, Quantum Computing and Econometrics.
Long Research Program
This is a long-term program with a duration of 12 to 18 months, designed to support steady progress through sustained learning, regular practice, and continuous mentorship.
LEARN MORESocial Impact Research
Social Impact Research focuses on developing leadership skills through real-world problem solving and collaborative research.
LEARN MOREPast Projects
The pre-prints showcase the scope of the research projects completed by our talented students.
AI for Social-Driven Crypto Pricing
This project analyzes how cryptocurrency news headlines influence Bitcoin price movements. We collected real-time headlines using the CryptoPanic API and evaluated their sentiment with models like FinBERT and CryptoBERT. Using decision models such as Random Forest, we tested how well sentiment predicts price direction. Automated daily data collection was done using Google Apps Script. By varying sentiment and decision models, we aim to identify the best combination for accurate Bitcoin trend prediction.
Watch PresentationElliptic Curve Cryptography
This paper delves into the critical role of elliptic curves in advancing the field of public-key cryptography, with a particular focus on Elliptic Curve Cryptography (ECC) and its comparative efficiency against the Rivest-Shamir-Adleman (RSA) algorithm. Starting with an exploration of the group law on elliptic curves, the paper establishes the mathematical foundations that enable ECC to provide robust security mechanisms. The core of the analysis compares ECC and RSA, emphasizing the significant benefits of ECC in terms of computational overhead and key size efficiency.
Watch PresentationOptimization of Robotic Surgery using Geometry & Deep Learning
Robotic surgery is a promising method to improve surgical outcomes. The field of robotic surgery is poised for remarkable transformations driven by advances in machine learning (ML) and artificial intelligence (AI). This research aims to integrate advanced geometric techniques and deep learning to address the challenges associated with robotic-assisted surgeries. This paper outlines the methodology for optimizing surgical procedures by leveraging metric spaces for accurate anatomical measurements, group theory for optimal robotic motion planning, and data augmentation techniques for improving machine learning models used in surgical planning and intraoperative guidance.
Watch PresentationA Three-Dimensional Farey Graph via Adjacency of Primitive Triples
We introduce a three-dimensional analogue of the Farey graph, with vertices given by primitive integer triples considered up to sign. Two vertices are connected if a fixed determinant condition with a reference vector is satisfied. We establish a degree dichotomy: vertices either have infinitely many neighbors or are isolated—and prove an additive triangle rule for 2-simplices. Notably, no two primitive Pythagorean triples are adjacent. Computational experiments enumerate neighbors, visualize local structure under bounded norms, and compute shortest paths in bounded subgraphs. This work generalizes classical Farey graph concepts to three dimensions, revealing new arithmetic and combinatorial structures.
Watch PresentationHomomorphic Broadcast Encryption
This paper introduces Homomorphic Broadcast Encryption (HBE), a unified framework that combines homomorphic encryption for privacy-preserving computation with broadcast encryption for selective data access. We implement HBE in cloud and IoT settings to enable secure aggregation and controlled result sharing. Tests on a 9-node cloud with 12 users show efficient encrypted computation, fast revocation, and low latency. HBE offers a practical solution for secure collaborative processing in areas like healthcare analytics and financial risk assessment.
Watch PresentationA Proof of Seven Circles Theorem using Hyperbolic Geometry
In this paper, we explore a non-conventional proof of the Seven Circles Theorem using several concepts from hyperbolic geometry. We attempt to represent the picture, claimed by the statement, in the Klein model-followed by the Poincaré's hyperbolic disk model of hyperbolic space-in order to analyze the claim. We consider an ideal hexagon to have been formed by the points of intersection of each of the six inner circles and the ideal boundary. We then assume that there exists a non-ideal hyperbolic triangle that is formed as a result of intersections between the three main diagonals of the hexagon. We then go on to contradict this claim by proving that the area of the non-ideal triangle is zero.
Watch PresentationResearch Advisors
A group of experts who guide Cheenta’s academic and research programs.
Dr. Ashani Dasgupta
Director, Cheenta Academy
- PhD in Mathematics from University of Wisconsin, Milwaukee (USA).
- Published Researcher at London Mathematical Society’s Journal of Topology
Srijit Mukherjee
Director and faculty at Cheenta Academy
- BStat and MStat from Indian Statistical Institute, Doctoral Scolar at Penn State University
Dr. Arka Banerjee
Visiting Research Faculty
- Ph.D., University of Wisconsin–Milwaukee
- Postdoctoral Researcher, Auburn University
Raghunath J V
Mathematics and Research Faculty
- B.Tech and M.Tech from IIT Chennai.
- Math Olympiad Coach at Cheenta. INMO and IMO Trainer.
Shayeef Murshid
Mathematics and Research Faculty
- B.Math and M.Math from ISI
- INMO Merit List
- Doctoral Scholar at Indian Statistical Institute