Jonathan A Poritz

Decomposition of the trace plane by type of corresponding Ford domain; see paper with T. Drumm

Subsets of the 4-dimensional Birkhoff polytope used in a finite product decomposition of the set of entropy-preserving stochastic average; see paper with A. Poritz

A fundamental domain with many faces, seen from outside hyperbolic space; see paper with T. Drumm

A few interesting fundamental domains of cyclic groups of isometries of hyperbolic space; see paper with T. Drumm

What I do:

After decades in higher ed — I think I've been a student, faculty, or researcher at around a dozen univeristies and research centers in six time zones on two continents — it seems I've recently gone alt-ac. What this means is that I'm doing a number of projects with varioius open movement non-profits. The projects and organizations vary from week to week, but at the moment they include:
- Open Education Instructional Technologist for Open Oregon Educational Resources
- Open Licensing Consultant for the "California Community College ZTC Degree Program" (for which see much information on the site OER and ZTC of the Academic Senate of the California Community Colleges Open Educational Resources Initiative)
I blog (infrequently) as μαθηματικος (at mathematikoi.net) and toot as @poritzj@mastodon.social.
I use pronouns he/him.

What I've done:

Lots of teaching info in these web pages for many past courses I have taught.
Always SHARE: here is material I'm putting out in the world, such as articles, books, slide decks (and sometimes video or audio) from talks, etc. — I think of this as my own little contribution to the global intellectual commons.
Great detail is in my up-to-date CV.
A mathematical project I did long ago resulted in a gallery of some fundamental domains in the interior of $H^3_\RR$ for the action of cyclic subgroups of $PSL(2,\CC)$.
Some of my activities are memorialized on this page with certificates and "badges".

Where I am:

My location in physical space is hard to determine: if you need to hand off some item to me, it would be best to contact me first by email and we can set something up. Although if you need to be able to recognize me in person, see this serious, professional image of me or else a more fun image of me with flowers in my hair.
E-mail:
► "Jonathan A Poritz" <jonathan.poritz@gmail.com> where I can read email encrypted with my public key [PGP fingerprint: F52E 686D 54BC 1F80 27E1 2605 3220 26C4 B74F 20AA]
► jonathan@poritz.net or poritzj@post.harvard.edu are possible alternatives; attachments encrypted with the above public key are fine, obvs.

An explanation of the background is available for the incurably curious; other pictures on this page are fully explained in my papers -- read them or weep!

An explanation of the background is available for the incurably curious.

The same fundamental domains as at the top, viewed from outside hyperbolic space; see paper with T. Drumm

Birkhoff's polytope in four dimensions; see paper with A. Poritz

A type {2,7,5} example on the boundary of hyperbolic space; see paper with T. Drumm

The 3-dimensional moduli space of boundary compactifications; see papers with A. Iozzi