Writeups for Euler Circle Abstract Algebra, Spring 2020
Alan Lee and Anuj Thakur:
Groups of order
p
n
Albert Tam:
Structure theorem for finitely generated modules over a PID
Albert Ye:
Finite fields
Albert Zhu:
Finite fields
Alex Tholen:
Proof that some projective special linear groups are simple
Amol Rama and Nilay Mishra:
Differential Galois theory: a study of nonelementary antiderivatives
Ashwin Rajan and Alexa Wingate:
Quaternions
Atticus Kuhn:
Boolean algebras
Bohong Su:
A gentle introduction to Lie groups
Darren Yao:
Introduction to algebras over fields
Emma Cardwell:
Intro to category theory
Harini Desikan:
Boolean algebras
Ishaan Patkar:
Infinite groups
Jerry Sun:
Algebraic structures
Josh Zeitlin:
An introduction to ring theory
Joshika Chakraverty:
Introduction to rings and modules
Katherine Taylor:
Representation theory
Kevin Xu:
A basic introduction to class groups
Krishna Dhulipala:
An introduction to infinite Galois theory
Maggie Debelak:
The Rubik's cube and group theory
Mark Takken, Roy Long, and Tristan Liu:
Integrating in elementary terms
Mehana Ellis:
Sporadic groups
Neil Makur:
Quaternions and beyond
Preston Fu:
Matrix Lie groups
Qu Gao:
Group theory and the Rubik's cube
Rajeev Sharma:
Representation theory
Riya Gupta:
Sporadic groups
Saadiq Shaikh:
Matrix Lie groups
Sally Zhu:
Graph isomorphism problem
Samrit Grover and Ayush Aggarwal:
Rubik's cube groups
Sanjay Gollapudi:
An introduction to category theory
Sarah Fujimori:
Differential Galois theory
Shihan Kanungo:
Classifying groups of certain orders
Sidhart Krishnan:
Finite fields
Sidharth Sharma:
Polya's enumeration theorem
Sriteja Vijapurapu and Ralph Cao:
Differential Galois theory
Stephanie Wu:
Polya's enumeration theorem
Steven Hwang:
Category theory
Sushanth Sathish Kumar:
Representation theory
Tae Kyu Kim:
Classical, conic, and constrained constructions
Tanvi Deshpande:
Further classical topics in finite group theory
William Lee:
Origami numbers
William Ren:
Category theory