Mitchell Fabri, Xinyi Shi, and Daniel Youngberg, Fall 2025
Project: Mathematical Existential Crises [description]
Primary Readings:
T. Jech – The Axiom of Choice (North-Holland, 1973)
A. Blass and D. Kulshreshtha – A Gentle Introduction to the Axiom of Choice [arXiv]
B. Poonen – Undecidable Problems: A Sampler (in Interpreting Gödel, Cambridge Univ Press, 2014)
Presentations:
Mitchell Farbi – A Paradoxical Dinner for Two [slides]
Xinyi Shi – Non-constructivity of Hindman's theorem [slides]
Daniel Youngberg – Undecidable Groups [slides]
Adam Nichamoff, Summer 2025
Paper: Studying Descriptive Combinatorics through Distributed Algorithms [PDF]
Colin Feeney, Winter 2025
Presentation: Variants of Hilbert's Nullstellensatz [slides]
Readings: Smith, et al. – An Invitation to Algebraic Geometry (Springer, 2000), and other texts
Tyler Weeks, Fall 2024
Presentation: Diophantine Systems and the Four Distance Problem [slides]
Talk selected for U(M) Math Club
Gavin Bell, Fall 2024
Presentation: Finite Field Fact Fest [slides]
Text: Ireland and Rosen – A Classical Introduction to Modern Number Theory (Springer, 1982)
Julian Skifstad, Summer 2024
Presentation: Rotations and Orthogonal Representations with Applications in Robotics [slides]
Talk selected for U(M) Math Club
Texts: M. Artin – Algebra (Pearson, 2011), and several articles
Ayan Chowdhury, Summer 2024