Illinois Mathematics Lab, proposed by Prof. Igor Mineyev

Mentored a group of 6 undergraduate students. Guided them through the development of React based game based on Kaplansky conjectures and the research in collaboration with Prof. Mineyev. I taught required algebra and theory related to cell complexes to undergraduates to give them insight into mathematical structures of the game.

Illinois Geometry Lab, proposed by Prof. AJ Hildebrand

This project emphasized on 'predictability, home advantage, and the parity and competitive balance' of MLB, NBA, and NHL Teams.

Mentored a group of 2 undergraduate students. Guided them through the development of Python based program to quantify the statistical measures mentioned in the title. Coached the students to follow coding protocols and helped them gain required knowledge for the project.

Illinois Geometry Lab, proposed by Prof. AJ Hildebrand

This project emphasized on 'quantifying streakiness, momentum, and exceptional performances' of MLB, NBA, and NHL Teams.

Mentored a group of 4 undergraduate students. Guided them through the development of Python based program to quantify the statistical measures mentioned in the title. This project led to selection of the group to present their work at Undergraduate Research Symposium, 2023.

Illinois Geometry Lab, proposed by Prof. AJ Hildebrand

Mentored a group of 4 undergraduate students in building the required real analysis background on nowhere differentiability and continuity and Mathematica skills, co-ordinated their group work and supervised statistical and visual experiments on the fractal Fourier series of Weierstrass’s non-differentiable functions and Riemann’s non-differentiable functions in Mathematica. The demonstrations created are published by Wolfram and the undergrads presented at the UIUC IGL open house, Fall 2022.