by our old Avocado
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Jonathan Lubin |
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Out to pasture in Pasadena, by our old Avocado |
If I’m in town, you may find me in my office,
Kassar-Gould 013,
where the telephone is (401)863-7955. But mostly, I’m not in town.
So to reach me, you should use
e-mail, 
,
or you can get my home mailing address from the Mathematics Department Office,
(401)863-2708. For mail where there is no urgency, use the regular departmental address:
Box 1917, Brown University, Providence RI 02912-1917, USA.
My research interests lie in Number Theory and Algebraic Geometry, as a member of the Brown Number Theory Group; p-adic analysis including p-adic algebraic dynamics; and formal groups.
If you’re interested, you can see a list of my mathematical publications or get a copy of my curriculum vitæ in .pdf format.
To my surprise, I find myself still doing research: in particular, Ghassan Sarkis and I have a paper accepted to Journal of Algebra on some results related to his thesis. We have a preprint in .pdf format if you’re interested.
Beyond that, I’ve been thinking about the group-theorists’ frequently-expressed position that though elements of order p in the “Nottingham group” of all series over a finite field, with no constant term and first-degree term equal to 1, are easy to find (and, thanks to Klopsch, to classify), no elements of order p2 have been found. Using formal groups in characteristic zero, it's easy to find infinitely many very special such elements, even elements of order pm; but using the class-field theory of k((t)), one can get all the elements of higher order, and even get a formulation that classifies them, although by no means in as satisfactory a way as is available for elements of order p. I’ve been working on and off on a paper on this subject, but have decided to reorganize both the paper and my thoughts. If you’d like a .pdf of what I’ve written so far, I’m willing to send it out, though with some serious misgivings, on account of its unripe condition as it now stands.
Even before retirement, I had a nonmathematical life, taken up with things like photography, politics, and woodworking. All of that continues, and you can see some aspects of it on my other page.
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This page last updated 091025