Sean Broderick
172cf38342

4 years ago  

..  
README.md  4 years ago  
fromdominoestohexagons.pdf  4 years ago  
graphisomorphismandrepresentationtheory.pdf  4 years ago  
intrototropicalalgebraicgeometry.pdf  4 years ago  
tilings.pdf  4 years ago  
transcendenceofpi.pdf  6 years ago 
README.md
Mathematics

📜 The Transcendence of Pi by Steve Mayer

📜 Tilings by Ardila
The paper covers a broad swath of the topic on analysis of tiling, and related strategies.

📜 From Dominoes to Hexagons by Thurston
A paper on the generalization of tilings across different base planes.

📜 Graph Isomorphism and Representation Theory by Daniel Litt
The graph isomorphism problem shows how to construct graphs using a simple buildingblock ("basis"). The same method applies to finding different building blocks to construct the same things. This technique can be applied to file systems, greplin, trees, virtual DOM, etc.
A short paper, it also shows how to use
𝔰𝔩₂(ℂ)
as a simple mathematical object that leads into the area of real mathematics—represention theory. 
Conway's ZIP proof by George Francis and Jeffrey Weeks
This paper presents a classification proof: "How can it be that you know something about all possible
X
, even thexϵX
you haven’t seen yet?" The welldiagramed discussion requires no calculus, crypto, ML, or dense notation, making it good for most knowledge levels. 
Packing of Spheres by N. Sloane
Discusses the role of E8 & Leech lattices in optimal codes for mathematicallyideal compression. Ikosahedrons, a tool in this investigation, are also presented.

Some Underlying Geometric Notions by Hatcher
HighLevel survey which relates disparate topics, e.g. Platonic solids (ADE), Milnor’s exceptional fibre, and algebra.

What is a Young Tableaux? by Alexander Yong
Young Tableau appear in combinatoric problems, representation theory, and the calculus of Grassmannians. Another common topic is sorting, and smarter ways to organise subsorts.
Topology

Topology of Numbers by hatcher

Applied Algebraic Topology and Sensor Networks by Robert Ghrist

📜 Intro to Tropical Algebra Geometry
Recently there have been some papers posted about tropical geometry of neural nets. Tropical is also said to be derived from CS. This is a good introduction.

Elements of Algebraic Topology: Sheaves by Ghrist
Seminal writing on topological structures, from one most lauded books 'Elements of Algebraic Topology'