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============================ >Homepage>Directory>Research
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 [  New Dedekind Sums Arising from Eichler-Shimura Type Integrals of Higher Weight
 [  Holomorphic Eisenstein Series Attached to Characters (5, 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 Eichler-Shimura type
 [   >integrals of higher weight holomorphic Eisenstein series attached to characters. Some
 [   >interesting results arise, such as two diverging generalizations each preserving one
 [   >of the two main properties of the weight two case.
 [
 [  Teaching Rotations Through Augmented Reality (4, 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.
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 [  Texas A&M University Mathematics REU in Number Theory, Fast Computation of Generalized
 [  Dedekind Sums (3, 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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 [  The Eigenvalue Distribution for Cubic Large Sieve Matrices (2, Advisor Dr. Matthew Young)
 [   >This project sought to expand upon the results of Dunn and Radziwill in their paper
 [   >Bias in Cubic Gauss Sums: Patterson's Conjecture by better understanding the
 [   >eigenvalue distribution of the cubic large sieve matrix.
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 [  A Particular Solution to Linear Diophantine Equations (1, Advisor Dr. Stephen Jackson)
 [   >This research project's purpose was to examine the properties of a novel recursive
 [   >method of solving a specific class of linear Diophantine equations. Served mostly as
 [   >an introduction to the research process in early undergraduate studies.
 [
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