Papers for Euler Circle Complex Analysis, Winter and Spring 2021
Aaron Luo:
Fourier series
Adam Zweiger:
The
j
-function
Alan Lee:
The
j
-function
Alexander Migrditchian:
Modular curves and Hauptmoduln
Alexandre Acra:
Introduction to modular forms
Amulya Bhattaram and Dhruv Raghavan:
Quaternionic analysis and special relativity
Andrew Chang:
Quaternionic analysis
Anthony Leong:
Montel's Second Theorem
Atticus Kuhn:
Consequences of the Riemann Hypothesis
Darren Yao:
Consequences of the Riemann Hypothesis
Ekam Kaur:
The
j
invariant
Emma Cardwell, Joshika Chakraverty, and Katherine Taylor:
Complex dynamics
Grace Cai:
Elliptic partial differential equations
Hrishabh Ayush:
Nevanlinna's Five Value Theorem
Jerry Sun:
Julia and Fatou sets
Jet Chung:
The Riemann-Roch Theorem and elliptic curves
Josh Zeitlin:
Complex Brownian motion
Kevin Xu:
Nevanlinna-Pick interpolation
Kishan Jani:
The
j
-function and complex multiplication
Lorenze Wolczko:
Fourier analysis
Mehana Ellis:
Brownian motion and complex analysis
Neil Makur:
An introduction to multivariable complex analysis
Rajeev Sharma:
Fourier transforms
Sarah Fujimori and Sriteja Vijapurapu:
Analytic combinatorics
Sparsho De:
Univariate asymptotics in analytic combinatorics
Sriram Ananthakrishnan:
Modular forms
Sukrith Raman:
The Hardy-Littlewood circle method
Sushanth Sathish Kumar:
Harmonic functions
Tae Kyu Kim:
Classification of Fatou components
Tanvi Deshpande:
Quaternionic analysis
Tristan Liu, Roy Long, and Mark Takken:
Analytic combinatorics