(If someone has a version in higher resolution, or pictures of the conference, please contact John Steel, or myself.)

A very incomplete key, possibly with mistakes:

First row: ?, Diego Rojas-Rebolledo, ?, Leo Harrington, Ernest Schimmerling.

Second: Peter Koekpe; Alexandra, Hugh, and Christine Woodin; Xianghui Shi, me, John Clemens.

Third: John Steel, Alessandro Andretta, Tony Martin.

Fourth: Stevo Todorcevic, Paul Corazza, Philip Welch, Ilijah Farah, Qi Feng, ?, Martin Zeman, Robert Solovay, Richard Laver, Erik Closson (?), James Cummings.

Fifth: ?, Itay Neeman, Thomas Jech, Greg Hjorth, Joan Moschovakis (?), Yiannis Moschovakis, Matthew Foreman (?), Ted Slaman, Jindra Zapletal, Joan Bagaria.

Sixth: Benedikt Löwe, ?, Jean Larson, Bill Mitchell, ?, Carlos di Prisco, ?, Mike Oliver, ?, Lorenz Halbeisen, Derrick Duboise, Peter Koellner.

Seventh, etc: Herb Enderton, ?, ?, Joel Hamkins, Alain Louveau, Slawomir Solecki, ?, Mack Stanley, ?, ?, Tomek Bartoszynski, Paul Larson, Lisa Marks, Richard Ketchersid. ?

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[…] this picture a few days ago, when looking at the old photos from the Martin Conference. I posted here the group picture from that conference. John Steel should be posting the other pictures soon (well, […]

Georgii: Let me start with some brief remarks. In a series of three papers: a. Wacław Sierpiński, "Contribution à la théorie des séries divergentes", Comp. Rend. Soc. Sci. Varsovie 3 (1910) 89–93 (in Polish). b. Wacław Sierpiński, "Remarque sur la théorème de Riemann relatif aux séries semi-convergentes", Prac. Mat. Fiz. XXI (1910) 17–20 […]

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When I first saw the question, I remembered there was a proof on MO using Ramsey theory, but couldn't remember how the argument went, so I came up with the following, that I first posted as a comment: A cute proof using Schur's theorem: Fix $a$ in your semigroup $S$, and color $n$ and $m$ with the same color whenever $a^n=a^m$. By Schur's theo […]

It depends on what you are doing. I assume by lower level you really mean high level, or general, or 2-digit class. In that case, 54 is general topology, 26 is real functions, 03 is mathematical logic and foundations. "Point-set topology" most likely refers to the stuff in 54, or to the theory of Baire functions, as in 26A21, or to descriptive set […]

I’ll try to post a key over the next few days. [

Edit:Added, though terribly incomplete.][…] this picture a few days ago, when looking at the old photos from the Martin Conference. I posted here the group picture from that conference. John Steel should be posting the other pictures soon (well, […]