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My research interests include Number Theory, Dynamical Systems and Ergodic Theory. <\/span>My completed projects so far have involved studying problems related to Diophantine approximation in p-adic solenoids and their interactions with dynamical systems. Generalizing classical results about rotations on the circle to the setting of rotations on adelic tori is instrumental in understanding problems in dynamics that are sensitive to arithmetic properties of return times to regions.<\/p>\r\nFor the first of my two completed projects, we worked on giving an explicit construction of bounded Remainder Sets of all possible volumes, for rotations on higher dimensional adelic tori (published in the Moscow Journal of Combinatorics and Number Theory in 2021). In my second project, we prove a natural generalization of the Three Gap Theorem for rotations on adelic tori (published in the Ramanujan Journal in 2023).<\/p>\r\n
I have recently started working on Shrinking Target Problems and am exploring new results. I have also developed an interest in Machine Learning and am currently co-authoring a paper on Machine Learning in Nutrition Research.<\/p> <\/div>\r\n <\/div>\r\n <\/div>\r\n <\/div>\r\n \r\n"
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