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8:46 PM
The tag was mentioned in this room before. At the moment, it contains 14 questions.
Q: A roadmap to learn about finite-dimensional commutative associative real or complex unital algebras

M.G.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 structure and representations of commutative ones and their central extensions. My background is nu...

Q: Arithmetical results to help study arithmetic geometry?

Brennan.TobiasI'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 Number Theory which covers some early results of Fermat and Euler in their original forms and then...

Q: What is the best way to learn about Modular Forms?

Francisco AlarconI 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) or a book that explains Modular forms in Layman terms to in mathematical terms. I understand it's ...

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

Kim GreeneThere 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 algebra with trace diagrams?

Q: Road to holomorphic foliations?

HeManI 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 "Folheacoes algebricas complexas".

Q: Background needed to understand modern research on knot homology theories

user142103I 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), Symplectic Geometry (Ana Cannas da Silva) and Differential Topology (Hirsch, Minor (Morse Theory...

Q: Learning roadmap for Foundations of Mathematics (for the working mathematician)

EFinat-S(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 more interested in topics like axiomatic set theory, the different logical systems (intuitionist...

Q: Roadmap to homotopical group theory

Alex PetzkeI 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 subject and similar questions I have seen. It also seems that some of those qualified to answer are mu...

Q: Roadmap for Quillen 1

QuetzalcoatlQuestion 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 / roadmap with the above paper as a goal, what would this plan look like? Here's another version ...

Q: Roadmap to learning the classification of finite simple groups

ArBI 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 outsider like me. Can someone please point me where to start and trace out atleast the first few bas...

Q: Mathematics of GANs (generative adversarial networks)

1..Generative Adversarial Networks were introduced in http://papers.nips.cc/paper/5423-generative-adversarial-nets and has more than 20000 citations. The paper introduced key paradigm changes which require applications from modern areas of mathematics. I wanted to ask what are some the mathematics r...

Q: A road map through group cohomology

Tommaso RossiI am a PhD student in algebraic topology, and I would like to learn something about group cohomology. The final goal would be to present one or two seminars on this topic, in order to give my mates a gently introduction to this subject and at the same time showing them some striking result/applic...

Q: Where's the best place for an algebraic geometer to learn some algebraic number theory?

Tim CampionThere are lots of introductions to number theory out there, but typically they are streamlined to assume as little prerequisite knowledge as possible. I'm looking for a text which does the opposite -- assumes you are fluent in algebraic geometry, and builds on that knowledge to introduce number t...

Q: Mindset to understand category theory

Matias T-CI am a 17 years old student and I am really interested in category theory due to its abstraction and beauty. I wanted to know if you'd have any advices to approach this theory and if you have papers to begin with this. Thank you in advance for your answer.

A tag called was just created on Mathematics: chat.stackexchange.com/transcript/3740 We'll see whether it will stay or not.

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