Research Interests

My research interests lie in the areas of combinatorics, graph theory, and number theory. I am particularly fascinated by the elegant patterns and structures that emerge in these mathematical fields.

Current Research

I am currently pursuing research in mathematics at Grinnell College, focusing on theoretical aspects of number theory and their applications.

Publications

Journal Publications

Preprints

• Ren, Xuyi, and Christian Roettger. Ternary Digits of Powers of Two. arXiv:2511.03861, 2025. arXiv:2511.03861

Research Projects

Number Theory Research

• Does Odd perfect number have distinct prime divisors
• RSA—an introduction to cryptography

Combinatorics Research

• What is the number of possible arrangement of Rubik’s cube?

On-going Research

• Ternary Digits of Powers of 2

Research Presentations & Seminars

Slides and Talks

• Quaternion and Maxwell Equations

• Ternary Digits of Powers of 2

Conferences

• Midwest Panorama of Geometry & Topology conference, 2025
• Mathematical Association of America (MAA) conference, section IOWA, 2025

Coming Soon

Research Collaborations

I am open to research collaborations and discussions in my areas of interest. Feel free to reach out through my LinkedIn or email at renxuyi@grinnell.edu.