And a good late August to all my readers. I’m as ready as can be for my Fall 2019 Mathematics A-To-Z. For this I hope to explore one word or concept for each letter in the alphabet, one essay for each. I’m trying, as I did last year, to publish just two essays per week. I like to think this will keep my writing load from being too much. I’m fooling only myself.

For topics, though, I like to ask readers for suggestions. And I’ll be asking just for parts of the alphabet at a time. I’ve found this makes it easier for me to track suggestions. It also makes it easier for me to think about which subjects I feel I can write the most interesting essay about. This is in case I get more than one nomination for a particular letter. That’s hardly guaranteed, but I do like thinking this might happen.

If you do leave a suggestion, please also mention whether you host your own blog or YouTube channel or Twitter or Mathstodon account. Anything that you’d like people to know about.

I’ve done five of these A To Z sequences before, from 2015 through to last year. I won’t necessarily refuse to re-explore something I’ve already written up. There are certainly ones I could improve, given another chance. But I’d probably look to write about a fresh topic.

I hope to start the first week of September, mostly so that I end by (United States) Thanksgiving. The letters that I would like to finish by September are the first eight, A through H. Covered in past years from this have been:

### A.

**Ansatz**(Summer 2015)**Axiom**(Leap Day 2016)**Algebra**(End 2016)**Arithmetic**(Summer 2017)**Asymptote**(Fall 2018)

### B.

**Bijection**(Summer 2015)**Basis**(Leap Day 2016)**Boundary Value Problems**(End 2016)**Benford’s Law**(Summer 2017)**Box-And-Whisker Plot**(Fall 2018)

### C.

**Characteristic**(Summer 2015)**Conjecture**(Leap Day 2016)**Cantor’s Middle Third**(End 2016)**Cohomology**(Summer 2017)**Commutative**(Fall 2018)

### D.

**Dual**(Summer 2015)**Dedekind Domain**(Leap Day 2016)**Distribution (statistics)**(End 2016)**Diophantine Equations**(Summer 2017)**Distribution (probability)**(Fall 2018)

### E.

**Error**(Summer 2015)**Energy**(Leap Day 2016)**Ergodic**(End 2016)**Elliptic Curves**(Summer 2017)**e**(Fall 2018)

### F.

**Fallacy**(Summer 2015)**Fractions (continued)**(Leap Day 2016)**Fredholm Alternative**(End 2016)**Functor**(Summer 2017)**Fermat’s Last Theorem**(Fall 2018)

### G.

**Graph**(Summer 2015)**Grammar**(Leap Day 2016)**General Covariance**(End 2016)**Gaussian Primes**(Summer 2017)**Group Action**(Fall 2018)

### H.

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

Thank you for any thoughts you have. Please ask if there are any questions. And I intend for this to be open to topics in any field of mathematics, including the ones I don’t really know. Writing about something I’m just learning about is terrifying and fun. It’s a large part of why I do these things every year, and also why I don’t do them more than once a year.

A- abacus (mainly how they actually work)

B- Borel-Cantelli lemmas

B- Boolean satisfiability

C- compactification

C- category theory

D- differential equations

D- discrete logarithms

E- encryption schemes

F- Fourier series

G- groupoids

H- hypergraphs

My blog is inactive, but I tweet under the name @aajohannas

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Thanks kindly! These are some fun and interesting ideas to play with.

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Great work🙏

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Firstly I would like to express my appreciation for your annual A-Z oeuvre. Secondly could you please tell us the secret of your indefatigability. I sure could use it at CarnotCycle, a thermodynamics blog known for running posts on probability during dry spells. A propos, my suggestion for B is Buffon’s needle.

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Thanks very kindly. All I really know about indefatigability is that if I do a thing, like, three times then some part of my brain won’t let me stop. Anyway I quite admire CarnotCycle for your writing’s depth and detail.

I like the thought of Buffon’s needle problem, as well. Thank you for it.

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Some suggestions that I can think of:

E – extreme value theorem

F – Fourier series / Fourier transform

G – Galois theory / Galois group

H – Hamiltonian

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These are great suggestions too, and thank you! It looks like there’s a groundswell for Fourier series at the least.

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