User Patrick I-Z

67 votes

A soft introduction to physics for mathematicians who don't know the first thing about physics

answered Jan 7, 2011 at 16:42

35 votes

Accepted

are there natural examples of classical mechanics that happens on a symplectic manifold that isn't a cotangent bundle?

answered Nov 9, 2013 at 13:40

17 votes

How difficult will it be for me to switch fields (details below) after my Ph.D. in pure mathematics?

answered Nov 18, 2013 at 20:59

14 votes

Accepted

Quantization of symplectic vector space and choice of lagrangian subspaces

answered Nov 16, 2013 at 11:04

13 votes

Nice application of generalized smooth spaces

answered Feb 12, 2011 at 21:40

12 votes

Mathematical "urban legends"

answered Jan 24, 2011 at 23:55

11 votes

Accepted

Is every symplectic manifold a Hamiltonian reduction of a cotangent bundle?

answered Dec 5, 2013 at 22:50

10 votes

Applications of diffeological spaces to ordinary differential geometry

answered Jun 29, 2023 at 9:15

10 votes

Can the equation of motion with friction be written as Euler-Lagrange equation, and does it have a quantum version?

answered Nov 27, 2013 at 21:06

10 votes

How much of differential geometry can be developed entirely without atlases?

answered Jan 4, 2011 at 10:32

10 votes

Is there a good (co)homology theory for manifolds with corners?

answered Jan 5, 2011 at 22:49

9 votes

Which mathematicians have influenced you the most?

answered Jan 16, 2011 at 21:09

9 votes

Is there a good notion of morphism between orbifolds?

answered Dec 14, 2013 at 21:46

7 votes

A book you would like to write

answered Feb 3, 2011 at 20:39

6 votes

What is Symplectic Area?

answered Jan 22, 2011 at 16:19

6 votes

What is meant by smooth orbifold?

answered Dec 29, 2010 at 11:02

5 votes

What would you want to see at the Museum of Mathematics?

answered Dec 31, 2010 at 11:50

5 votes

Why should one still teach Riemann integration?

answered Jan 21, 2011 at 5:54

5 votes

On referee-author communications

answered Jan 2, 2011 at 22:12

5 votes

Why do we teach calculus students the derivative as a limit?

answered Jan 26, 2011 at 6:28

5 votes

Reference for a path groupoid being a diffeological groupoid

answered Oct 12, 2013 at 15:17

5 votes

When is a symplectic manifold equivalent to a cotangent bundle?

answered Nov 10, 2013 at 23:00

5 votes

Advantages of diffeological spaces over general sheaves

answered Jul 5, 2023 at 12:48

5 votes

Does this formula have a rigorous meaning, or is it merely formal?

answered Feb 3, 2011 at 0:04

5 votes

A good primer for geometric quantization.

answered Nov 20, 2013 at 1:41

4 votes

Representing de Rham cohomology by smooth maps

answered Nov 26, 2013 at 19:18

4 votes

Dimension of the space of null geodesics

answered Dec 1, 2013 at 10:27

4 votes

What are the implications of torsion in H^2 for geometric quantization?

answered Nov 12, 2013 at 1:32

4 votes

Physical meaning of the integral cohomology condition in Souriau-Kostant pre-quantization?

answered Nov 13, 2013 at 11:55

4 votes

How do you keep your research notes organized?

answered Jan 11, 2011 at 20:53

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52 Answers

A soft introduction to physics for mathematicians who don't know the first thing about physics

are there natural examples of classical mechanics that happens on a symplectic manifold that isn't a cotangent bundle?

How difficult will it be for me to switch fields (details below) after my Ph.D. in pure mathematics?

Quantization of symplectic vector space and choice of lagrangian subspaces

Nice application of generalized smooth spaces

Mathematical "urban legends"

Is every symplectic manifold a Hamiltonian reduction of a cotangent bundle?

Applications of diffeological spaces to ordinary differential geometry

Can the equation of motion with friction be written as Euler-Lagrange equation, and does it have a quantum version?

How much of differential geometry can be developed entirely without atlases?

Is there a good (co)homology theory for manifolds with corners?

Which mathematicians have influenced you the most?

Is there a good notion of morphism between orbifolds?

A book you would like to write

What is Symplectic Area?

What is meant by smooth orbifold?

What would you want to see at the Museum of Mathematics?

Why should one still teach Riemann integration?

On referee-author communications

Why do we teach calculus students the derivative as a limit?

Reference for a path groupoid being a diffeological groupoid

When is a symplectic manifold equivalent to a cotangent bundle?

Advantages of diffeological spaces over general sheaves

Does this formula have a rigorous meaning, or is it merely formal?

A good primer for geometric quantization.

Representing de Rham cohomology by smooth maps

Dimension of the space of null geodesics

What are the implications of torsion in H^2 for geometric quantization?

Physical meaning of the integral cohomology condition in Souriau-Kostant pre-quantization?

How do you keep your research notes organized?