I am an undergraduate student at University of Virginia, majoring in pure mathematics and computer science.
I am fortunate to work with Professor Thomas Koberda on studies and research in Mathematics, Professor Wei-Kai Lin on studies and research in Theoretical Computer Science, and Professor Rich Nguyen on projects in Machine Learning.
Projects Perspective: I'm on my way to pursuing two Distinguished Major Program Degrees at UVA (Advanced Bachelor Degree at the Univerisity of Virginia) in Theoretical Mathematics and Computer Science. For Math, I will focus on Geometric Group Theory, and for CS, I will focus on Theoretical Computer Science, Cryptography, and Algorithms.
Research Interest (Currently as an undergraduate student)
Geometric Group Theory, Theoretical and Applied Cryptography. With special interests on Word Problem for Groups, Automata Theory, Algebraic-flavored Cryptography, and ORAM-related questions.
Publication and Writings
Publication
Published
Nonexistence of Brouwer’s fixed-point theorem in one-dimensional constructive analysis, CSAMCS 2021, Volume 12163, Pages 104-108
SL4HOI: Supervised Learning for Predicting Health Opportunity Index across States, SIGKDD-UC 2024
In Submission
A Pair of Diophantine Equations Involving the Fibonacci Numbers
arxiv link: https://doi.org/10.48550/arXiv.2409.02933
Other Writings
A Survey of Prime Factorization and Public Key Encryption.
Professional Services
Conference Reviewer: Asiacrypt 2024
Academic Notes
Starting in the winter of 2023, at the end of the first semester of my sophomore year, I decided to create my own academic notes page, open source.
Mathematical Achievement Peer Support @UVA
Check out this exciting new organization founded by Professor Thomas Koberda!
The outstanding math major students here will be answering questions about everything math related to our fellow mathematics students, it's a very good organization and I'm one of the mentors.
UVA-Vietnam Polymath REU Joint Seminar
Co-organized by Professor Koberda, I gave a talk on group presentation, word problem for group, and automatic group. Link to the recording of my talk is available, and here is my write-up for this talk.
Talks
Directed Reading Program Presentation Series. Topological Proof of Infinite Primes. Presentation Talk. Department of Mathematics, University of Virginia, Charlottesville, VA. March 2022.
Introduction to Math Research Presentation. Prime Factorization, Elliptic Curves, and Public Key Encryption. Presentation Talk. Department of Mathematics, University of Virginia, Charlottesville, VA. February 2023.
Introduction to Math Research Presentation. From Euclid to Furstenberg: Different Proofs of Infinite Primes. Presentation Talk. Department of Mathematics, University of Virginia, Charlottesville, VA. April 2023.
Charlottesville IX Park Math to the Public Presentation. Higher Dimensional Geometry, Hyperbolic Geometry, and Virtual Reality Visualization. Introductory Talk. IX Art Park, Charlottesville, VA. April 2023.
UVA – Vietnam Polymath REU Joint Mathematics Seminar. Group Presentation, Word Problem for Group, and Automatic Group. Invited Talk. Department of Mathematics, University of Virginia, Charlottesville, VA. May 2024.
Polymath Jr 2024 Ending Conference. A Pair of Diophantine Equations Involving Fibonacci Numbers. Presentation Talk. Online. August 2024.
UVA MATH 8852 Representation Theory End of Class Presentation. Schur Q-Functions. Presentation Talk. Department of Mathematics, University of Virginia, Charlottesville, VA. November 2024.
UVA MATH 8710 Lie Algebras End of Class Presentation. Exceptional Lie Algebra. Presentation Talk. Department of Mathematics, University of Virginia, Charlottesville, VA. December 2024.
UVA CS 6222 Introduction to Cryptography Project Presentation. Bilinear Group-Based Private Information Retrieval. Presentation Talk. Department of Mathematics, University of Virginia, Charlottesville, VA. December 2024.
Joint Mathematics Meetings 2025. Seattle. January 2025 (Projected).
Teaching
CS-2130 Computer Systems and Organization 1, Spring 2023, Teaching Assistant
CS-3120 Theory of Computation, Spring 2024, Teaching Assistant
CS-3120 Theory of Computation, Fall 2024, Head Teaching Assistant
CS-4774 Machine Learning, Fall 2024, Teaching Assistant
MATH-3354 Survey of Algebra, Spring 2024, Teaching Assistant
MATH-4652 Introduction to Abstract Algebra, Spring 2024, Teaching Assistant
MATH-7751 Algebra I, Fall 2024, Teaching Assistant
CS-3120 Theory of Computation, Spring 2025, (Head ?) Teaching Assistant - Projected
MATH-3354 Survey of Algebra, Spring 2025, Teaching Assistant - Projected