From 6b8d20baf53509cbcbaca1333546d2b7f4738d00 Mon Sep 17 00:00:00 2001 From: Norio Kosaka Date: Tue, 6 Sep 2022 08:44:18 +0900 Subject: [PATCH] Update README.md --- README.md | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) diff --git a/README.md b/README.md index 4b56216..378145a 100644 --- a/README.md +++ b/README.md @@ -3,6 +3,23 @@ I hope this helps someone who has the same dream as me to make it come true! ** I'm broadly exploring various Maths topics. Also, I am essentially following the [roadmap for Maths students@MIT](https://math.mit.edu/academics/undergrad/roadmaps.php) +## Existing organisation of Arxiv +- AG - Algebraic Geometry + - Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology +- AT - Algebraic Topology + - Homotopy theory, homological algebra, algebraic treatments of manifolds +- CT - Category Theory + - Enriched categories, topoi, abelian categories, monoidal categories, homological algebra +- AC - Commutative Algebra + - Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics +- GN - General Topology + - Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties +- GT - Geometric Topology + - Manifolds, orbifolds, polyhedra, cell complexes, foliations, geometric structures +- GR - Group Theory + - Finite groups, topological groups, representation theory, cohomology, classification and structure + + ## Format of the list below I have organised all my notes by following the format below; - List of : A link of Wiki page describing the various research topics in the domain