Papers for Euler Circle complex analysis, Winter and Spring 2025
Agastya Goel:
Fourier theory
Anay Agrawal:
Fourier theory
Aranya Karighattam:
Modular forms and the Kac-Wakimoto conjecture
Asha Keshavarz:
Fourier theory
Christian Zhou-Zheng:
Modular curves
Christopher Qiu:
Nevanlinna-Pick interpolation
Gabriel Levin:
Sheaf cohomology and the Riemann-Roch theorem
Hariharan Senthilkumar:
Extermality in quasiconformal maps
Harshil Nukala:
On the use of complex methods in asymptotic combinatorics
Ishan Joshi:
The Hardy-Littlewood circle method
James Papaelias:
Modular forms and sums of squares
Julian Schennach:
Fourier theory and the application to the heat equation
Kartik Gudapati:
Elliptic partial differential equations in complex analysis
Matthew Leung:
An expository overview of the Hardy-Littlewood circle method
Muhammad Ammar, Dallas Anderson, and Jacob Kawako:
An elementary approach to Nevanlinna theory and applications
Neil Krishnan:
Hardy-Ramanujan-Littlewood circle method
Nikhil Reddy and Samarth Das:
Quaternionic analysis
Prashanth Prabhala:
Elliptic PDEs through the lens of complex analysis
Sahiti Doke and Brandon Muliadi:
The
j
-function
Siddharth Kothari:
An introduction to modular forms
Sitar Eswar:
The Hardy-Littlewood circle method
Sounak Bagchi:
L
-functions and Dirichlet's theorem
Sri Srinivasan and Kshitij Tomar:
Geometric theorems in complex analysis
Sunay Miduthuri:
Quaternionic analysis
Vedant Valluri:
Elliptic PDEs
Yaasiin Noor:
Almost-integer
e
π√n
and the
j
-function