196

Answers

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9

Awfully sophisticated proof for simple facts (2)

2

Fundamental Examples

7

Not especially famous, long-open problems which anyone can understand

1

Generalizing a problem to make it easier

14

Old books still used

3

Blackbox Theorems

2

Lecture notes on representations of finite groups

3

Examples of seemingly elementary problems that are hard to solve?

3

Is there a nice application of category theory to functional/complex/harmonic analysis?

22

Why is the fundamental group of a compact Riemann surface not free ?

12

What are some examples of ingenious, unexpected constructions?

5

How has modern algebraic geometry affected other areas of math?

11

Applications for p-Sylow subgroups theorem

15

Publishing a bad paper?

18

Why aren’t representations of monoids studied so much?

5

Believing the Conjectures

3

Solving NP problems in (usually) Polynomial time?

4

Why are free groups residually finite?

3

Examples of theorems with proofs that have dramatically improved over time

5

What motivates modern algebraic geometry for a combinatorial/constructive algebraist?

4

functions satisfying “one-one iff onto”

3

Are quivers useful outside of Representation Theory?

5

Why is Set, and not Rel, so ubiquitous in mathematics?

8

Presenting work in progress

1

Fixed point theorems

4

Consequences of not requiring ring homomorphisms to be unital?

16

Modern developments in finite-dimensional linear algebra

4

Why are profinite topologies important?

1

nontrivial isomorphisms of categories

13

Why all irreducible representations of compact groups are finite-dimensional ? [EDIT: Subtleties: AC,etc]