When I look at how much I’m not getting ahead of deadline for these essays I’m amazed to think I should be getting topics for as much as five weeks out. Still, I should.

What I’d like is suggestions of things to write about. Any topics that have a name starting with the letters ‘G’, ‘H’, or ‘I’, that might be used for a topic. People with mathematical significance count, too. Please, with any nominations, let me know how to credit you for the topic. Also please mention any projects that you’re working on that could use attention. I try to credit and support people where I can.

These are the topics I’ve covered in past essays. I’m willing to revisit one if I realize I have fresh thoughts about it, too. I haven’t done so yet, but I’ll tell you, I was thinking hard about doing a rewrite on “dual”.

Topics I’ve already covered, starting with the letter ‘G’, are:

**Graph**(2015)**Grammar**(Leap Day 2016)**General Covariance**(End 2016)**Gaussian Primes**(2017)**Group Action**(2018)**Green’s Function**(2019)

Topics I’ve already covered, starting with the letter ‘H’, are:

**Hypersphere**(2015)**Homomorphism**(Leap Day 2016)**Hat**(End 2016)**Height Function (elliptic curves)**(2017)**Hyperbolic Half-Plane**(2018)**Hamiltonian**(2019)

Topics I’ve already covered, starting with the letter ‘I’, are:

**Into**(2015)**Isomorphism**(Leap Day 2016)**Image**(End 2016)**Integration**(2017)**Infinite Monkey Theorem**(2018)**Infimum**(2019)

Thank you all for your thoughts, and for reading.

G: Graph Theory. I love Euler :-)

H: Hypotenuse

I: Just…. i. The imaginary number.

(I have a Youtube channel https://www.youtube.com/channel/UCcsUa2Fu32r-HsSFCvqoTCQ/ . I also teach math at a community college in Maryland.)

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Oh, all good suggestions, yeah. I have a particular fondness for graph theory even though I couldn’t actually specialize in it.

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Golden ratio, Hilbert problems, imaginary numbers

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Nice topics, thank you. I’m starting to suspect this might be the A-to-Z where I really cover every aspect of imaginary numbers.

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G: Gödel’s incompleteness theorems

H: Halting problem

I: Introvert mathematician and related topics (on whether mathematics and introversion have any link, and counterexamples?)

Famous joke: What’s the difference between an introverted mathematician and an extroverted mathematician?

The extrovert looks at the other person’s shoes. :)

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These are also good. I haven’t done a general-culture thing since the jokes essay a couple years ago.

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Hopefully not off topic, but JW Gibbs in particular and Helmholz (sp?) are good.

Gibbs pretty much invented the physical chemistry, well regarded by Maxwell, unknown in his home country (USA! USA!).

Helmholz also made similar contributions to the field.

Gibbs also either invented or codified vector analysis.

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Not at all off-topic, thank you. I’m quite open to biographical or career-biographical pieces and, yeah, these are mathematical physicists who did quite noteworthy work.

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For ‘H’, I suggest the Hopf fibration.

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Oh, that’s an outstanding idea. I’m not sure I’m up to it, but I should think it over carefully anyway.

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