Skip to main content

Stack Exchange

Jesse Madnick

https://sites.google.com/view/jesse-madnick

Postdoc at the University of Oregon. I finished my PhD at Stanford in 2018 under Robert Bryant and Rick Schoen.

My research is in differential geometry and geometric analysis. I am primarily interested in minimal submanifolds and calibrated geometry, often in the context of special holonomy.

I am more active on math.stackexchange.com

top accounts reputation activity subscriptions
Top Questions
221 votes

What do modern-day analysts actually do?

analysis complex-analysis soft-question pde harmonic-analysis asked Dec 28, 2011 at 4:13
math.stackexchange.com

65 votes

How do different definitions of "degree" coincide?

algebraic-geometry algebraic-topology differential-topology riemann-surfaces asked May 2, 2012 at 22:12
math.stackexchange.com

63 votes

Why is the Laplacian important in Riemannian geometry?

differential-geometry pde soft-question riemannian-geometry asked Feb 1, 2014 at 5:43
math.stackexchange.com

43 votes

What is magical about Cartan's magic formula?

differential-geometry soft-question math-history asked Aug 30, 2012 at 2:00
math.stackexchange.com

40 votes

Why do we care about two subgroups being conjugate?

abstract-algebra group-theory representation-theory lie-groups asked Dec 18, 2015 at 8:47
math.stackexchange.com

37 votes

Geometry or topology behind the "impossible staircase"

algebraic-topology soft-question algebraic-geometry projective-geometry asked Jul 14, 2011 at 22:26
math.stackexchange.com

33 votes

Classifying the compact subsets of $L^p$

real-analysis analysis reference-request functional-analysis asked Apr 26, 2011 at 1:13
math.stackexchange.com

32 votes

Geometric interpretation of connection forms, torsion forms, curvature forms, etc

differential-geometry differential-forms curvature asked Jun 23, 2011 at 7:58
math.stackexchange.com

30 votes

Equivalence of Definitions of Principal $G$-bundle

differential-geometry differential-topology geometric-topology fiber-bundles principal-bundles asked May 22, 2013 at 9:24
math.stackexchange.com

26 votes

Undergraduate differential geometry texts

dg.differential-geometry textbook-recommendation teaching asked Dec 5, 2009 at 4:35
mathoverflow.net

1 2 3 4 5

Top Answers
236
Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?
math.stackexchange.com

130
When can you switch the order of limits?
math.stackexchange.com

91
Jokes in the sense of Littlewood: examples?
mathoverflow.net

70
Exterior Derivative vs. Covariant Derivative vs. Lie Derivative
math.stackexchange.com

65
References for multivariable calculus
math.stackexchange.com

59
Theorems with an extraordinary exception or a small number of sporadic exceptions
math.stackexchange.com

54
If $f_k \to f$ a.e. and the $L^p$ norms converge, then $f_k \to f$ in $L^p$
math.stackexchange.com

47
What are your favorite instructional counterexamples?
mathoverflow.net

47
Is there a vector field that is equal to its own curl?
math.stackexchange.com

46
Tensors: Acting on Vectors vs Multilinear Maps
math.stackexchange.com

45
Meaning of derivatives of vector fields
math.stackexchange.com

43
Geometric meaning of symmetric connection
math.stackexchange.com

42
Why do we restrict the definition of Lebesgue Integrability?
math.stackexchange.com

41
What are some examples of a mathematical result being counterintuitive?
math.stackexchange.com

38
Is there any easy way to understand the definition of Gaussian Curvature?
math.stackexchange.com

38
Is Inner product continuous when one arg is fixed?
math.stackexchange.com

34
When can we not treat differentials as fractions? And when is it perfectly OK?
math.stackexchange.com

31
Interesting math-facts that are visually attractive
math.stackexchange.com

28
Why is the 2nd derivative written as $\frac{\mathrm d^2y}{\mathrm dx^2}$?
math.stackexchange.com

27
How should one present curl and divergence in an undergraduate multivariable calculus class?
mathoverflow.net

27
'Obvious' theorems that are actually false
math.stackexchange.com

27
How to study math to really understand it and have a healthy lifestyle with free time?
math.stackexchange.com

26
Is the Nash Embedding Theorem a special case of the Whitney Embedding Theorem?
math.stackexchange.com

26
How do you describe your mathematical research in layman's terms?
math.stackexchange.com

26
How to study for a test and how to know if you're just not good at math?
math.stackexchange.com

23
divergence of a vector field on a manifold
math.stackexchange.com

22
What math is necessary to learn manifolds?
math.stackexchange.com

22
Geometric interpretation of connection forms, torsion forms, curvature forms, etc
math.stackexchange.com

22
Can you extend vector fields on a manifold?
math.stackexchange.com

21
Teaching myself differential topology and differential geometry
math.stackexchange.com

1 2 3 4 5