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Expository Papers​​​​​

1. The Many Faces of the Casson Invariant​​​​​

   • ​My Spring 2025 Junior Paper. My advisor was professor Zoltan Szabo. I learned a lot and had a lot of fun! 

2. A Stroll through the Garden of Functional Analysis: the Hodge Theorem​

   • My Junior Seminar paper from MAT 981: Geometric Analysis 

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Miscellaneous

1. Measures and Fractals

   • I wrote the 2024 PuMAC Power Round

2. ​An Introduction to Algebraic Geometry, Kaivalya Kulkarni

   • I also contributed to the topology section of the 2023 PuMAC Power Round 
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Research

1. Bounds on the Hausdorff Measure of the Minkowski Sausage

   • In Highschool, I wrote a paper using the methods of Jia to the Minkowski Sausage and submitted it to a journal. It was of course rejected, but I am still relatively proud of how much I was able to do as a teenager​