Papers for Euler Circle independent research and paper writing, Summer 2024 Session 1
- Aaditya Bilakanti: Primality testing Paper Slides
- Achyuth Vivek: An introduction to the matrix-tree theorem Paper Slides
- Amr Nazir Ahmad: An exposition to Fourier series Paper Slides
- Ananya Shah: Simplicial complexes, discrete Morse theory, and simplicial homology Paper Slides
- Ankita Pednekar: Gröbner bases on multivariable equations and parabolic envelopes Paper Slides
- Anshul Mantri: Pattern avoidance in words Paper Slides
- Anthony Dokanchi: From calculus to analysis: the Stone-Weierstrass Theorem Paper Slides
- Ari Seeger: Finding envy-free divisions Paper Slides
- Aryaman Chandra: Unveiling fractal geometry through the Hausdorff dimension Paper Slides
- Ashvath Rajesh: Irrationality and transcendence: advancing beyond algebra Paper Slides
- Ashwin Naren: Homomorphism density Paper Slides
- Atticus Lin: The circle method and approximation of the partition function Paper Slides
- Ayaan Nisar: Bertrand's postulate and related prime number problems Paper Slides
- Beyza Kaya: Elliptic integrals Paper Slides
- Cecilia Belej: Bounds and variants of the Hadwiger-Nelson problem Paper Slides
- Crystal Xie: The Billing-Mahler theorem Paper Slides
- Dale Liu: Carmichael numbers: proof of infinitude and algorithmic generation Paper Slides
- Damla Zerya Aslan: Error-correcting codes derived from cellular automata games Paper Slides
- David Skigin: The Burau representation of the braid group Paper Slides
- Derek Aoki: On the polynomial hierarchy, PSPACE, and descriptive complexity Paper Slides
- Derek Tang: How many ways are there to tile a regular rectangular grid with dominoes? Paper Slides
- Dragos Gligor: On the perturbation of eigenvalues Paper Slides
- Elizabeth Siva: Modeling superinfection with Lotka-Volterra equations Paper Slides
- Emma Zhang: Brownian motion: from measure theory to quantitative biology Paper Slides
- Ethan Chen: Hackenbush game theory Paper Slides
- Ethan Yan: Ramanujan graphs Paper Slides
- Gilyana Dorzhieva: Sidorenko's conjecture Paper Slides
- Grace Howard: Bonnet-Myers Theorem Paper Slides
- Hariharan Senthilkumar: Quaternions: algebra and applications in aerospace and celestial mechanics Paper Slides
- Harshil Nukala: On the distribution of the number of distinct prime factors Paper Slides
- Helen Tong: Pell's equation Paper Slides
- Ishan Joshi: The group extension problem Paper Slides
- Jayadev Ghanta: Nonstandard methods in infinite Ramsey's Theorem Paper Slides
- Jiana Shroff: On the folk theorem in infinitely repeated games with discounting Paper Slides
- Justin Cheong: Central limit theorem Paper Slides
- Kartik Gudapati: On sets with the property D(n) Paper Slides
- Kavya Venturpalli: On the Galton Watson process Paper Slides
- Kshemaahna Nagi: On asymmetric graph coloring games in undirected and oriented forests Paper Slides
- Kshitij Tomar: Markov chains Paper Slides
- Mansi Mandal: Set theory Paper Slides
- Mihir Gupta: The longest increasing subsequence Paper Slides
- Moksh Nihalani: Permutahedra Paper Slides
- Neil Sriram: Analytic combinatorics: singularity analysis Paper Slides
- Nimay Gupta: Model theory Paper Slides
- Oliver Cai: Binary quadratic forms and ideal class groups Paper Slides
- Pranav Shankar: On the theory of finite groups, their linear representations, and Burnside's paqb theorem Paper Slides
- Prashanth Prabhala: A proof and foundations of the Gauss-Bonnet Theorems in differential geometry & algebraic topology Paper Slides
- Rhea Varma: Borsuk-Ulam Theorem Paper Slides
- Rohan Shah: Martingales Paper Slides
- Sahima Mittal: The Lagrange spectrum Paper Slides
- Sahiti Doke: Outer automorphism of S6 Paper Slides
- Sai Nallani: Measure theory and the Radon-Nikodym Theorem Paper Slides
- Samarth Das: Voting oddities: when the polls go haywire Paper Slides
- Sarah Nagarkatti: The Basel problem and its consequences Paper Slides
- Sherlock Dong: On differential forms and the Stokes' Theorem Paper Slides
- Siddharth Kothari: The algebraic structure underlying Fourier analysis Paper Slides
- Siddharth Krishna: Stability analysis in dynamical systems Paper Slides
- Sitar Eswar: Prime heuristics and its implications on RSA cryptography Paper Slides
- Sounak Bagchi: Primes of the form x2+ny2 Paper Slides
- Suhaan Mobhani: Integer linear programming and its extensions Paper Slides
- Tyler Rose: From classical complexity to quantum efficiency: the mathematical basis of Shor's algorithm Paper Slides
- Vishwasri Srinivasan: Finite groups of Lie type Paper Slides
- Wynn Huang: Sieve methods in combinatorics Paper Slides
- Yehui Feng: Introduction to traffic flow theory: evaluation of mathematical models for traffic simulation Paper Slides
- Zoya Brahimzadeh: Criticality: from random graphs to simplicial complexes Paper Slides