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============================ >Homepage>Directory>Research
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 [  Local to Global Principles for Co-Compact Circle Packings (5, Advisor Dr. Alex Kontorovich)
 [   >Building upon the work of Bourgain and Kontorovich to prove a local-to-global
 [   >esult for circle packings with co-compact fundamental domains. This work will be my thesis.
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 [  Strong Prime Number Theorem in LEAN (4, Advisor Dr. Alex Kontorovich)
 [   >Assisted in formalizing a handful of lemmas and theorems for the ongoing strong
 [   >prime number theorem formalization effort in the LEAN theorem prover.
 [   >Publication Details (See 4)
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 [  Higher Weight Generalized Dedekind Sums (3, Advisor Dr. Matthew Young)
 [   >As a follow up project to the summer 2022 REU at Texas A&M University, this research
 [   >project generalizes the concept of Dedekind sums by examining period integrals
 [   >of higher weight holomorphic Eisenstein series attached to characters. We also
 [   >demonstrate quantum modularity, and many arithmetic and analytic properties.
 [   >Publication Details (See 3)
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 [  Teaching Rotations Through Augmented Reality (2, Advisor Dr. Phillip Yasskin)
 [   >This research project examines the ability for augmented reality to serve as a
 [   >supplemental instruction method to further develop student's geometric intuition on
 [   >rotations in three dimensional space.
 [   >Publications Details (See 2)
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 [  Texas A&M University Mathematics REU in Number Theory, Fast Computation of Generalized
 [  Dedekind Sums (1, Advisor Dr. Matthew Young)
 [   >Developed the first polynomial time algorithm to compute generalized Dedekind sums by
 [   >utilizing a well engineered group rewriting process. This represents a significant
 [   >improvement over previous exponential time algorithms.
 [   >Publications Details (See 1)
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