Jonathan Poritz Home Page

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:

Three rôles at Colorado State University – Pueblo, in Pueblo, Colorado, USA:
- Both Director and Data Analyst in the Center for Teaching and Learning
- Associate Professor in the Department of Mathematics and Physics
Another rôle, through the Colorado Department of Higher Education:
- member of the Colorado OER Council [having been chair in 2018-19]
Blogging as μαθηματικoς (at mathematikoi.net) and tweet as @poritzj.

What I've done:

Web pages for many past courses I have taught are here.
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.
Here is an up-to-date CV.
Click here for some interactive mathematics: an applet to visualize the geometry of fundamental domains for the action of cyclic subgroups of $PSL(2,\CC)$ on $\partial H^3_\RR$. Some fundamental domains in the interior of $H^3_\RR$ for this action are in a gallery.

Where I am:

Physical space contact info here. [And if you need to recognize me in person, see one image, or another, or another.]
E-mail: jonathan@poritz.net (That is my primary, preferred e-mail address. You can also try jonathan.poritz@csupueblo.edu, poritzj@post.harvard.edu, or jonathan.poritz@gmail.com if you like)
An old public key of mine (fingerprint 7C8B ADBA FE03 3C31 4E52 071D 8488 65F3 7638 565E) was compromised: please no longer use it. I do speak crypto, so if you want to send me encrypted mail, I can set it up.

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

Jonathan Poritz (jonathan@poritz.net) Last modified:

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