I would like to now announce exactly what everyone with the ability to draw conclusions expected after I listed the things covered in previous Mathematics A To Z summaries. I’m hoping to write essays about another 26 topics, one for each of the major letters of the alphabet. And, as ever, I’d like your requests. It’s great fun to be tossed out a subject and either know enough about it, or learn enough about it in a hurry, to write a couple hundred words about it.
So that’s what this is for. Please, in comments, list something you’d like to see explained.
For the most part, I’ll do a letter on a firstcome, firstserve basis. I’ll try to keep this page updated so that people know which letters have already been taken. I might try rewording or rephrasing a request if I can’t do it under the original letter if I can think of a legitimate way to cover it under another. I’m open to taking another try at something I’ve already defined in the three A To Z runs I’ve previously done, especially since many of the terms have different meanings in different contexts.
I’m always in need of requests for letters such as X and Y. But you knew that if you looked at how sparse Mathworld’s list of words for those letters are.
Letters To Request:

A 
B 
C 
D 
E 
F 
G 
H 
I 
J 
K 
L 
M 
N 
O 
P 
Q 
R 
S 
T 
U 
V 
W  X

Y 
Z
I’m flexible about what I mean by “a word” or “a term” in requesting something, especially if it gives me a good subject to write about. And if you think of a clever way to get a particular word covered under a letter that’s really inappropriate, then, good. I like cleverness. I’m not sure what makes for the best kinds of glossary terms. Sometimes a broad topic is good because I can talk about how an idea expresses itself across multiple fields. Sometimes a narrow topic is good because I can dig in to a particular way of thinking. I’m just hoping I’m not going to commit myself to three 2500word essays a week. Those are fun, but they’re exhausting, as the time between Why Stuff Can Orbit essays may have hinted.
And finally, I’d like to thank Thomas K Dye for creating banner art for this sequence. He’s the creator of the longrunning web comic Newshounds. He’s also got the book version, Newshounds: The Complete Story freshly published, a Patreon to support his comics habit, and plans to resume his Infinity Refugees spinoff strip shortly.
A – Arithmetic
C – Cohomology
D – Diophantine Equations
E – Elliptic curves
F – Functor
G – Gaussian primes/integers/distribution
H – Height function (elliptic curves)
I – integration
L – Lfunction
P – Prime number
Z – zeta function
I will tell more later. The banner art is very nice.
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Thank you! That’s a great set of topics to start on.
And thanks for the kind words about the art. I’m quite happy with it and hope to get more for other projects. And, as ever, do hope people consider Thomas K Dye’s comic strips and Patreon.
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J – Jordan Canonical Form
K – Klien Bottle
M – Meromorphic function
N – Nine point circle
O – Open set
Q – Quasirandom numbers
R – Real number
S – Sárkőzy’s Theorem
T – Torus
U – Ulam Spiral
V – Venn diagram
W – Well ordering principle
X – <I couldn’t find a word with x, but can discuss the importance of x as a variable>
Y Young tableau
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Ha – I also suggested Open Set yesterday, see my comments below ;) (from July 25 – on letters M N O R T V).
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And thank you again! This gets the alphabet a good bit more done.
And, yeah, ‘x’ is hard. But it’ll all be worth it in the end, I hope.
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I used the Riemann Tensor definition/explanation to front one of my subchapter pages in my poetry book (courtesy the guidance of a teacher I know). :)
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Ah, that’s wonderful! There is this beauty in the way mathematical concepts are expressed — not the structure of the ideas, but the way we write them out, especially when we get a good idea of what we want to express. I’d like if more people could appreciate that without worrying that they don’t know, say, what a Ricci Flow would be.
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Thanks! I know there’s a really poetic beauty about astrophysics that I have loved for years. I may not understand all the equations, but I do feel I “get” physics in a way. looks up Ricci Flow. It’s definitely one of my major forms of inspirations…one of my most used muses!
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I’m glad you do enjoy. There’s a lot about physics and mathematics that can’t be understood without great equations, but then there’s a lot about architecture that can’t be understood without a lot of mathematics and legal analyses. Nevertheless anyone can appreciate a beautiful building, and surely people can be told interesting enough stories about mathematics to appreciate the beauty there. Ideally, anyway.
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V for Voronoi diagram would be nice
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It would, and I’m glad my memory didn’t play tricks on me: I did write an essay about it in a past A To Z. I can probably think of another piece to write about it, though, given a head start … which ‘V’ would offer. Hm.
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I see… I think I actually read your previous article before but I forgot about it.
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How about D for discrete Morse theory and M for Morse theory? These are subjects I am not familiar with myself.. it would be great to have an article describing the gist of it :)
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I’m thoroughly unfamiliar with either myself, but I’m excited to give them a try! ‘M’ had been free, at least.
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N – NSphere or NBall
O – Open Set
R – Riemann Tensor
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Ah, the Riemann Tensor has already been claimed :) Sorry, I did not read the other comments carefully. So then:
R – Ricci Tensor
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You know, deep down, I worried I was making trouble for myself mentioning the Ricci Tensor (or was it the Ricci Flow I mentioned? Ricci something, anyway) but what’s the fun of this without making trouble for myself?
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Thank you, that’s getting the alphabet filled out a bit more.
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BTW – service for the other readers: Here is the neat table showing what Joseph has already covered in previous AZ series: https://nebusresearch.wordpress.com/2017/06/29/alistingofmathematicssubjectsihavecoveredinatozsequencesofthepast/
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M – Manifold
T – Topology (or Topological Manifold). Alternative: Tangent Bundle
V – Volume Forms or Vector Bundle
So you see, I am still in awe of the math that underpins General Relativity :) But please, totally explain it from a ‘pure math’ perspective … I am most interested in if and how your perspective may differ from how such things are introduced in theoretical physics.
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I’m in awe of them myself! With luck I can get up to something like speed, though.
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Reblogged this on Singapore Maths Tuition.
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Hey Joseph
How’s the pinball playing
Great to see you
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