I’d like to say I’m ready to start this year’s Mathematics A-to-Z. I’m not sure I am. But if I wait until I’m sure, I’ve learned, I wait too long. As mentioned, this year I’m doing an abbreviated version of my glossary project. Rather than every letter in the alphabet, I intend to write one essay each for the letters in “Mathematics A-to-Z”. The dashes won’t be included.

While I have some thoughts in minds for topics, I’d love to know what my kind readers would like to see me discuss. I’m hoping to write about one essay, of around a thousand words, per week. One for each letter. The topic should be anything mathematics-related, although I tend to take a broad view of mathematics-related. (I’m also open to biographical sketches.) To suggest something, please, say so in a comment. If you do, please also let me know about any projects you have — blogs, YouTube channels, real-world projects — that I should mention at the top of that essay.

To keep things manageable, I’m looking for the first couple letters — MATH — first. But if you have thoughts for later in the alphabet please share them. I can keep track of that. I am happy to revisit a subject I think I have more to write about, too. Past essays for these letters that I’ve written include:

## M.

**Measure**(2015)**Matrix**(Leap Day 2016)**Monster Group**(End 2016)**Morse Theory**(2017)**Manifold**(2018)**Martingales**(2019)**Möbius Strip**(2020)

## A.

**Ansatz**(2015)**Axiom**(Leap Day 2016)**Algebra**(End 2016)**Arithmetic**(2017)**Asymptote**(2018)**Abacus**(2019)**Michael Atiyah**(2020)

## T.

**Tensor**(2015)**Transcendental Number**(Leap Day 2016)**Tree**(End 2016)**Topology**(2017)**Tiling**(2018)**Taylor Series**(2019)**Tiling**(2020)

## H.

**Hypersphere**(2015)**Homomorphism**(Leap Day 2016)**Hat**(End 2016)**Height Function (elliptic curves)**(2017)**Hyperbolic Half-Plane**(2018)**Hamiltonian**(2019)**Hilbert’s Problems**(2020)

The reason I wrote a second Tiling essay is because I forgot I’d already written one in 2018. I hope not to make that same mistake again. But I am open to repeating a topic, or a variation of a topic, on purpose..

My suggestion for A: Atlas.

Thanks again for writing these wonderful, insightful essays!

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Ooh, thank you! Atlas is a particularly nice idea as I wouldn’t have thought of it on my own.

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M: Multiplication, if that’s too broad, multiplication algorithms

H: Hyperbolic geometry

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Thank you! I like these ideas.

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M: Monte Carlo or Markov Chain

A: Analysis (the branch of mathematics)

T: Torus

H: Holomorphic

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Great set of topics, yeah, and Markov Chains are very dear to my own heart.

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Good suggestions above.

M: multiple, Mersenne, modulus

A: addition (maybe a group perspective?), amicable, affine

T: triangle, transfinite, three

H: hyperbola, Hamilton or Hamiltonian, histogram

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Great set and I really like the thought of having multiplication and addition together. I need to think about how I organize this.

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Shouldn’t the Little 2021 Mathematics A-Z be a-z? or am I the only one who grew up calling lower case letters little letters?

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You’re not the only one! I suppose it’s going to depend on how the banner art comes out.

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