Paul Siegel

9,590
Reputation
5562 views
Is this your account?

Registered User 

Name Paul Siegel
Member for 3 years
Seen 11 hours ago
Website
Location New York
Age 28
I recently finished my degree at Penn State, and now I am at Columbia. I work on index theory (in the sense of the Atiyah-Singer index theorem) and its applications to positive scalar curvature invariants and surgery theory. I also blog about math from time to time.
48

Questions
votes newest views recent
61
62
votes
14
answers
11k
views

Why worry about the axiom of choice?

jul 2 10 at 12:56 Wolfgang Mueckenheim 11●1●6

34

28

14
45
votes
3
answers
1k
views

Can analysis detect torsion in cohomology?

apr 25 10 at 14:45 Tim Perutz 8,655●1●16●42

43
37
votes
30
answers
9k
views

Quick proofs of hard theorems

jan 25 11 at 0:05 robot 1,647●3●12

26
37
votes
7
answers
3k
views

The main theorems of category theory and their applications

jan 1 12 at 5:40 Ed Dean 1,446●1●5●14

27

13

16
20
votes
1
answer
1k
views

Is there a common genesis for ADE classifications?

aug 16 10 at 14:13 JME 1,656●7●18

12

1 2 3 4 5 next

 

63

Answers
votes newest views recent
75
Why should one still teach Riemann integration?
38
What is your favorite isomorphism?
33
When and how is it appropriate for an undergraduate to email a professor out of the blue?
32
Quick proofs of hard theorems
31
What is the significance of non-commutative geometry in mathematics?
24
What are the most misleading alternate definitions in taught mathematics?
24
When is something too big to be a set?
22
Intuitive explanation for the Atiyah-Singer index theorem
20
Example of a manifold which is not a homogeneous space of any Lie group
18
Is there a nice application of category theory to functional/complex/harmonic analysis?
18
Motivation for and history of pseudo-differential operators
17
Blackbox Theorems (2)
16
Are there examples of non-orientable manifolds in nature?
15
Theorems that are ‘obvious’ but hard to prove
15
What are the uses of the homotopy groups of spheres?
15
Abstract Thought vs Calculation
14
How do you present a non-existence theorem?
13
How we do actually compute the topological index in Atiyah-Singer?
13
Elementary+Short+Useful (4)
12
How to quantify noncommutativity?
11
Atiyah-Patodi-Singer Eta invariant and Chern-Simons form
11
Penrose tilings and noncommutative geometry
11
Why is the harmonic oscillator so important? (pure viewpoint sought). How to motivate its role in Getzler’s work on Atiyah-Singer?
10
Classical geometric interpretation of spinors
9
Integrals from a non-analytic point of view
9
What is the role of equivariance in the Atiyah-Singer index theorem?
9
Will the eigenvalue of the dirac operater tend to negative infinity?
9
D-modules and Algebraic Solutions of PDEs
8
first chern class and spin structures
8
Math for a cake
1 2 3 next

 

41

Votes
39
2

 

95

Tags
× 24
× 20
× 13
× 12
× 11
× 10
× 8
× 6
× 5
× 5
 × 5
× 4
× 4
× 4
× 4
× 4
× 4
× 4
× 3
× 3
 × 3
× 3
× 3
× 3
× 3
× 3
× 3
× 3
× 2
× 2
 × 2
× 2
× 2
× 2
× 2
× 2
× 2
× 2
× 2
× 2
 × 2
× 2
× 2







 

109

Badges
● Nice Answer× 23
● Notable Question× 7
● Nice Question× 25
● Popular Question× 15
● Yearling× 3
 ● Famous Question
● Favorite Question× 6
● Good Question× 7
● Fanatic
● Enlightened
 ● Good Answer× 5
● Autobiographer
● Critic
● Organizer
● Necromancer× 3
 ● Enthusiast
● Self-Learner
● Supporter
● Mortarboard
● Commentator
 ● Teacher
● Scholar
● Editor
● Student