Papers for Euler Circle independent research and paper writing, Summer 2025 Session 1
- Aarav Shah: Measure theory and Lebesgue integration Paper Slides
- Aarush Aggarwal: On the structural incompatibility of fairness axioms and the quantification of social choice optimality via metric distortion Paper Slides
- Abdur Rehman Cheema: A comprehensive exposition of the Lucas-Lehmer primality test Paper Slides
- Abraham Wang: Generating Carmichael numbers Paper Slides
- Aditya Bisain: Divisibility sequences Paper Slides
- Aeris Chang: Outer automorphisms on S6 Paper Slides
- Agastya Mehta: Invasion dynamics in evolutionary game theory Paper Slides
- Agastya Prabhu: Miller Rabin in comparison to other primality tests Paper Slides
- Akshatha Arunkumar: The Hasse-Minkowski Theorem Paper Slides
- Aleksei Lopatin: On Mahler-Lech-Skolem Theorem Paper Slides
- Amélie Mendeleev: Lemke-Howson algorithm Paper Slides
- Amrit Kandasamy: Incidence geometry in ℝ3 via polynomial partitioning Paper Slides
- Anant Chebiam: Geometry in projective spaces Paper Slides
- Aniket Mangalampalli: Banach-Tarski paradox Paper Slides
- Anshul Gokhale: On Euler Maclaurin summation formula Paper Slides
- Arthur Vieira Silva: A tour through elliptic integrals Paper Slides
- Ayaan Nisar: Stokes' Theorem Paper Slides
- Ayush Bansal: Ramanujan graphs Paper Slides
- Benjamin Rosen: On the Riesz Representation Theorem Paper Slides
- Bob Zhao: An introduction to Markov chain Monte Carlo and Metropolis Hastings Paper Slides
- Caden Ruan: Rational billiards Paper Slides
- Charvi Atreya: Integral geometry Paper Slides
- Connor Huh: Pricing FX barrier options via stochastic simulation Paper Slides
- Haridas Chowdhury: Transcendental number theory Paper Slides
- Hariharan Senthilkumar: PDEs and the Green's function Paper Slides
- Haydn Chan: Finding crystallographic point groups Paper Slides
- Irmak Zelal Cengiz: Permutohedra and associahedra Paper Slides
- Isaac Chan-Osborn: Primes of the form x2+ny2 Paper Slides
- Ishaan Sharma: The martingale convergence theorem: a measure-theoretic proof and applications Paper Slides
- Jaden Zhu: Cooperation in repeated games Paper Slides
- Jason Chen: Proof of the negative of the Burnside problem Paper Slides
- Jason McGrew: Topics in Schubert calculus Paper Slides
- Jiwon Kim: Semantic and syntactic constructions of the hyperreal numbers Paper Slides
- Jonathan Yu: Elliptic curves over finite fields Paper Slides
- Kaiser Travis Chan: An introduction to matroid theory Paper Slides
- Kanad Bhattacharya: An overview of analytic combinatorics Paper Slides
- Karam Gill: Attacks on RSA Paper Slides
- Keith Li: Isoperimetric inequalities Paper Slides
- Kevin Zhu: On the Galton-Watson process and its modeling capabilities Paper Slides
- Kiran Singh: On o-minimality and the Pila-Wilkie Theorem Paper Slides
- Krish Agrawal: Solving problems with bounds on linear forms in logarithms Paper Slides
- Linhan Shen: Discrete Morse theory Paper Slides
- Marianne Tzeng: Negative coefficients in Ehrhart polynomials Paper Slides
- Marigold Strupp: A short march through group cohomology Paper Slides
- Meer Mathur: Linear programming and its applications Paper Slides
- Mueed Awais: Weisfeiler-Leman color refinement, tree homomorphisms, and fractional isomorphism Paper Slides
- Neal Mann: The prime number theorem: analytic number theory and prime distribution Paper Slides
- Neil Krishnan: Combinatorics behind hyperplane arrangements Paper Slides
- Nidhruv Murali: Exploration of orthogonal polynomials Paper Slides
- Nikhil Ravishankar: Pattern avoidance and extremal words Paper Slides
- Niranjana Pottekkat: Too close for comfort: Diophantine approximation and the limits of irrationality Paper Slides
- Noha Nasri: Sieve methods in number theory: the sieve of Eratosthenes and Brun's pure sieve Paper Slides
- Nujen Yuksel: A measure-theoretic definition of memory in neural networks via Wasserstein gradient flows Paper Slides
- Omar Mohamed Said: Matrix tree theorem & the number of spanning trees Paper Slides
- Om Lala: An exposition to Fourier analysis Paper Slides
- Palaash Gang: Spherical harmonics as eigenfunctions of the Laplace-Beltrami operator Paper Slides
- Pranav Krishnapuram: A proof of the central limit theorem via moment generating functions Paper Slides
- Puranjay Madupu: Graph colorings Paper Slides
- Qi Huang: The Hadwiger-Nelson problem Paper Slides
- Quincy Nash: Diophantine tuples Paper Slides
- Rayhaan Patel: Simple finite groups of Lie type Paper Slides
- Richard Mai: On the law of the iterated logarithm Paper Slides
- Rishi Balaji: Geometric group theory Paper Slides
- Rishika Aggarwal: Complexity classes and complete problems Paper Slides
- Ronan Zweifler: Algebraic closure of function fields Paper Slides
- Roshan Avik Srivastava: Non-convex optimization and algorithms for machine learning Paper Slides
- Roy Yaranga: An introduction to hyperbolic geometry Paper Slides
- Ryan Bansal: The hidden structure of longest increasing subsequences Paper Slides
- Ryan Kim: A square root, a recurrence, and infinity: continued fractions and the hidden structure of Pell's equation Paper Slides
- Ryan Panzer: Extending the binomial coefficients Paper Slides
- Sai Chintagunta: On the combinatorics of determinants Paper Slides
- Sankar Jonnalagadda: Black-Scholes model Paper Slides
- Shamik Khowala: Evolution of multiplication algorithms for integers, matrices, and more Paper Slides
- Simon Meyers: The probabilistic method Paper Slides
- Somil Sarode: Fair division problem Paper Slides
- Stephen Zhou: Perfect codes and the Mathieu groups Paper Slides
- Talha Ashraf: Shor's algorithm Paper Slides
- Tanvir Ahmed: Class field theory and the Kronecker-Weber Theorem Paper Slides
- Vedant Valluri: On modular forms and Hecke operators Paper Slides
- Vikram Sarkar: The Erdős-Kac Theorem Paper Slides
- Vikramaditya Ghosh: Constructing de Rham cohomology Paper Slides
- Vinamra Dhoot: The Stone-Weierstrass Theorem and its applications Paper Slides
- Yaasiin Noor: An explicit evaluation of the Rogers-Ramanujan continued fraction Paper Slides
- Yunus Annanepesov: My journey into the Mordell-Weil Theorem: understanding rational points on elliptic curves Paper Slides
- Zixin Yu: Bond percolation on ℤd Paper Slides