## New answers tagged open-problems

3
votes

### PhD dissertations that solve an established open problem

Robin Moser in his PhD thesis found a constructive proof for the Lovasz Local Lemma, a problem that was essentially open for decades. This earned him a Godel Prize.

Community wiki

1
vote

### What is the definition of the function T used in Atiyah's attempted proof of the Riemann Hypothesis?

In his article "The Fine Structure Constant", Atiyah says the following about T on page 6:
For the case of inverse-integer weights, Hirzebruch formalized the notion of exponential
maps and ...

10
votes

### How to tackle the smooth Poincaré conjecture

Fastforward $11+\frac12$ years, I thought I'd mention that I tried to do what my original post suggested, which is when I started my PhD and then when I completed my thesis it naturally spawned this ...

Top 50 recent answers are included

#### Related Tags

open-problems × 542nt.number-theory × 117

reference-request × 66

co.combinatorics × 60

mg.metric-geometry × 48

dg.differential-geometry × 40

big-list × 35

ag.algebraic-geometry × 32

fa.functional-analysis × 30

gr.group-theory × 28

pr.probability × 26

prime-numbers × 24

graph-theory × 23

gt.geometric-topology × 21

lo.logic × 19

banach-spaces × 19

discrete-geometry × 19

ds.dynamical-systems × 18

computational-complexity × 15

set-theory × 14

gn.general-topology × 14

ca.classical-analysis-and-odes × 14

soft-question × 14

riemannian-geometry × 13

finite-groups × 13