# Questions tagged [learning-roadmap]

The learning-roadmap tag has no usage guidance.

10
questions

**14**

votes

**2**answers

996 views

### Roadmap to learning the classification of finite simple groups

I want to learn the classification of finite simple groups. But it is often commented that it is a theorem spanning tens of thousands of pages of research papers. So it is quite intimidating to an ...

**8**

votes

**1**answer

489 views

### Roadmap for Quillen 1

Question
Suppose you grasped and enjoyed reading Quillen's "Higher Algebraic K-theory I". Now, if you could go back in time to when you started studying algebraic topology and create a reading list / ...

**10**

votes

**0**answers

218 views

### Roadmap to homotopical group theory

I have been lurking here for a long time just enjoying the scenery from my beginner's viewpoint. I have a math.SE account but I think this question is appropriate here based on the nature of the ...

**30**

votes

**6**answers

3k views

### Learning roadmap for Foundations of Mathematics (for the working mathematician)

(At the risk of being vapulated and downvoted, I'll ask this here.)
Suppose you work in a field that has nothing to do with the foundations of mathematics, but thanks to MO, you are becoming more and ...

**5**

votes

**2**answers

515 views

### Background needed to understand modern research on knot homology theories

I am a student of mathematics, and have some background in
Algebraic Topology (Hatcher, Bott-Tu, Milnor-Stasheff),
Differential Geometry (Lee, Kobayashi-Nomizu),
Riemannian Geometry (Do Carmo),
...

**4**

votes

**0**answers

135 views

### Road to holomorphic foliations?

I want to know a "knowledge road" to holomorphic foliations. I assume that differential geometry and complex analysis is needed, but, what else? For example, I want to be able to read Lins Neto's book ...

**5**

votes

**0**answers

819 views

### What is the best way to learn about Modular Forms?

I am a senior Mathematics Major, and I am interesting in learning about Modular Forms. I have a layman's general sense of what they are but I was wondering if there is a lecture(I am willing to pay) ...

**13**

votes

**1**answer

1k views

### Arithmetical results to help study arithmetic geometry?

I'm very keen to deepen my understanding of arithmetic and diophantine problems. In the past I studied some algebraic, analytic and sieve based number theory. Recently I've been reading Weil - Basic ...

**7**

votes

**0**answers

257 views

### A roadmap to learn about finite-dimensional commutative associative real or complex unital algebras

I've always been secretly fascinated with the rich structure and applications of finite-dimensional associative unital algebras over complete fields. In particular, I am very much interested in the ...

**9**

votes

**5**answers

2k views

### How can I learn about doing linear algebra with trace diagrams?

There is a wikipedia article. There is a paper by Elisha Peterson. I tried reading these but they don't seem to click for me.
Are there books or other resources for learning how to do linear ...