Aaron’s blog about math and humor

Unraveling math's mysteries with a cozy touch – join me on a journey of discovery and delight!


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Recent blogs
Free Generators
Free Generators

In this project, we explore a graph theoretic approacl to construct at free set of generators of a free subgropup and include an implemetation of the algorithm. The project won the 2nd Place at the 2023 NJ STEM Fair.

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Kelly on How Far Can You See in an Orchard?
Kelly on How Far Can You See in an Orchard?

In this Prime Time Theorem, we pose a question that everyone has thought about deeply: If you stood in the center of a mathematical orchard, how far out would you be able to see without your line of sight being blocked by a tree?

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Kelly Coin and Matrices
Kelly Coin and Matrices

Let's play a game. The game consists of a row of 17+7 coins that all start face-up. Each turn involves flipping between one and seven coins so that the leftmost coin goes from heads to tail. You lose if there are no legal moves. Find the winning strategy.

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My interest and ultimate mission is to advance the fundamentals of number theory, group theory, and graph theory through rigorous mathematical inquiry, while also exploring the practical applications of these theories in fields such as artificial intelligence and cryptography. I hope to make significant contributions to the understanding of these theories, both in terms of their theoretical foundations and their potential to solve real-world problems. By fostering a culture of interdisciplinary collaboration and innovation, I strive to push the boundaries of mathematical knowledge and use the new knowledge to improve the human experience.

"The pursuit of truth and beauty is a sphere of activity in which we are permitted to remain children all our lives."

— Albert Eistein