Grumpy Parsnip

Knoxville, TN

math.utk.edu/~jconant

Age: 38

I like low-dimensional topology and geometric group theory. I'm particularly drawn to problems that involve algebraic spaces of graphs, such as graph homology.

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Are the rationals minus a point homeomorphic to the rationals?

general-topology asked Dec 10 '10 at 12:18

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17 votes

Does $X\times S^1\cong Y\times S^1$ imply that $X\times\mathbb R\cong Y\times\mathbb R$?

general-topology asked May 19 at 19:13

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14 votes

Why do all compact connected surfaces have a triangulation?

general-topology asked Apr 16 '11 at 16:08

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11 votes

Is there a definite integral for which the Riemann sum can be calculated but for which there is no closed-form antiderivative?

calculus asked Feb 25 '11 at 16:42

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10 votes

Do discontinuous harmonic functions exist?

pde harmonic-analysis asked Sep 1 '11 at 2:50

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9 votes

Suggestions for topics in a public talk about art and mathematics

art asked Jan 28 '11 at 21:17

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7 votes

Reference for an unknotting move

reference-request knot-theory asked Apr 28 '12 at 20:20

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5 votes

Interesting but elementary properties of the Mandelbrot Set

complex-analysis dynamical-systems teaching fractals asked Sep 24 '11 at 17:43

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Top Answers

Are male and female body topologically equivalent

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Function which is continuous everywhere in its domain, but differentiable only at one point

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Number of ways to partition a rectangle into n sub-rectangles

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Why is the Jordan Curve Theorem not “obvious”?

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Is there “essentially only 1” Jordan arc in the plane?

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Issues with text problems

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What is $\pi_2(\mathbb{R}^2 - \mathbb{Q}^2)$?

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Reference on Geometric Topology

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First publication of Pierre Deligne

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Picture of a 4D knot

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Smooth Manifold with trivial tangent bundle

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How to make this topological object with a single piece of paper and without glue?

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Can $\mathbb CP^n$ be the boundary of a compact manifold?

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What's the point of studying topological (as opposed to smooth, PL, or PDiff) manifolds?

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No torsion in $H^1_c(X,\mathbf{Z})$?

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What are all these “visualizations” of the 3-sphere?

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Is there an example of a non-orientable group manifold?

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Does having a codimension-1 embedding of a closed manifold $M^n \subset \mathbb{R}^{n+1}$ require $M$ to be orientable?

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Have I made a straight line, or a circle?

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Homology of the Sphere

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motivation and use for category theory?

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A good quick introduction to Knot Theory?

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Intuitive explanation of Left invariant Vector Field

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Homology and Graph Theory

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Product of spaces is a manifold with boundary. What can be said about the spaces themselves?

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The simplest $\Delta$-complex structure on $S^2$

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Does a topology on a countable set always have a countable base?

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How to prove $\log n \leq \sqrt n$ over natural numbers?

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Torsion elements in H^1 of a complex manifold

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Orientability implies separation of space?

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