Papers and slides for Euler Circle Independent Research and Paper Writing, Summer 2023 Session 1
- Aashir Mehrotra: The Baker-Campbell-Hausdorff formula and simply connected Lie group homomorphisms Paper Slides
- Aastha Jain: Existence of algebraic and transcendental numbers Paper Slides
- Adanur Nas: Chip-firing games on connected graphs Paper Slides
- Advaith Mopuri: Primes of the form x2+ny2 Paper Slides
- Andreas Rasvanis: Zeta functions on graphs Paper Slides
- Anika Chopra: The Weierstrass approximation theorem and its generalisations Paper Slides
- Anuj Chordia: Identifying sums of squares Paper Slides
- Anushka Tonapi: An introduction to balanced incomplete block designs Paper Slides
- Arham Rakhecha: Primality testing, factoring algorithms, and their applications in cryptography Paper Slides
- Arjun Bhobe: Pattern avoidance Paper Slides
- Arkit Ray: Modular forms and elliptic curves Paper Slides
- Atticus Kuhn: Denotationally correct computer arithmetic Paper Slides
- Austin Wu: An introduction to quantum computing and a collection of interesting topics in it Paper Slides
- Ayush Jain: Finite groups of Lie type Paper Slides
- Brandon Yea: Introduction to Lp spaces Paper Slides
- Connor Huh: Calculus of variations: the brachistochrone curve problem Paper Slides
- Dallas Anderson: Investigating the group extension problem Paper Slides
- Daniel Shin: Integer partitions and applications to number theory Paper Slides
- Deniza Kurmanalina: Example and application of the Bertrand's postulate Paper Slides
- Dieter Yang: On phase transition of special graph proeprties in random graphs Paper Slides
- Elaine Li: Jay bird: an expository article on j-functions Paper Slides
- Grace Howard: Hardy-Littlewood circle method Paper Slides
- Harsha Anand: Markov chains and the Metropolis algorithm Paper
- Haya Irfan: On the discrete 2D Fourier transform: mathematical analysis and applications Paper Slides
- Hridank Garodia: An elementary exposition to Wilson's oddness theorem Paper Slides
- Inho Ryu: The Lucas-Lehmer, Miller-Rabin, and AKS primality test Paper Slides
- Isaac Sun: The probabilistic method Paper Slides
- Jihan Lee: Ext and Tor Paper Slides
- Jinfei Huang: A proof of the Kronecker-Weber theorem Paper Slides
- Joshua Koo: Zero-knowledge and interactive proofs Paper Slides
- Junlin Julian Jiang: The Gauss-Bonnet theorem for regular polygons in the hyperbolic plane Paper Slides
- Kun-Hyung Roh: On polygons inscsribed by Jordan curves Paper Slides
- Manu Isaacs: Shor's algorithm Paper Slides
- Manya Gupta: Longest increasing sub-sequences Paper Slides
- Mark Kovrizhkin: On Schramm-Loewner evolutions Paper Slides
- Natalie Yeung: Prove the Bonnet-Myers theorem Paper Slides
- Nathan Shkolnik: Hahn-Banach theorems Paper Slides
- Neil Kolekar: Lattice path enumeration Paper Slides
- Nikash Gupta: Integral geometry Paper Slides
- Nikhil Reddy: Geometric inequalities and optimizations Paper Slides
- Omer Ozcan: Symmetric and Schur polynomials Paper Slides
- Owen Jiang: On results provable with ordinals but unprovable with Peano arithmeetic Paper Slides
- Rhea Varma: Quadrature algorithms: elementary principles to multi-dimensions Paper Slides
- Rishabh Venkataramani: Applications of sieve methods in enumerative combinatorics Paper Slides
- Ritisha Bansal: Discrete volume of lattice polytopes Paper Slides
- Rohan Ramkumar: On the existence of torsion points of order 11 on elliptic curves over Q Paper Slides
- Samarth Das: The Hadwiger-Nelson problem: a colorful journey through the plane and beyond Paper Slides
- Sarth Chavan: Singular moduli Paper Slides
- Shashank Pyati: Understanding the central limit theorem: an in-depth analysis and applications Paper Slides
- Sieon (Sean) Kim: Currents in geometric measure theory Paper Slides
- Soham Dam: Quaternions and algebras Paper Slides
- Sriram Venkatesh: Average case complexity theory Paper Slides
- Svanik Garg: The generalized Stokes theorem Paper Slides
- Tomiris Kurmanalina: On Waring's problem for squares and application Paper Slides
- Turjo Chakraverty: Galton Watson process Paper Slides
- Utsav Lal: Fractal dimension: quantifying the infinite complexity of nature Paper Slides
- Vanya Gupta: Pell's equation Paper Slides
- Vedant Janapaty: Decomposing the definition of spherical harmonics Paper Slides
- Vivaan Daga: The Banach-Tarski paradox and extension of measure Paper Slides
- William Zhang: Growth rate of class number of imaginary quadratic fields Paper Slides
- Woong Choi: Combinatorics on words Paper Slides
- Yael Zayats: Decrypting attacks on RSA Paper Slides
- Yigit Efe Nas: Proving Desargues' theorem using projective geometry Paper Slides