Jonathan Poritz Home Page

Jonathan A Poritz

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

Decomposition of the trace plane by type of corresponding Ford domain; see paper with T. Drumm Primary position, course info Birkhoff's polytope in four dimensions; see paper with A. Poritz

• I am an Associate Professor in the Department of Mathematics and Physics at Colorado State University, Pueblo, where I am teaching in the Summer of 2012:

Math 121: College Algebra (here is its schedule/HW page)

• Web pages for (some) past courses are here.

• Here is a link to my usual daily schedule.

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

• Current analog contact coordinates are available here.

• E-mail: jonathan.poritz@gmail.com (That is my primary, preferred e-mail address. If something seems not to be working with it, however, you can try poritzj@post.harvard.edu or jonathan@poritz.net)
Feel free to send me encrypted e-mail, by using my GnuPG key (Fingerprint:7C8B ADBA FE03 3C31 4E52 071D 8488 65F3 7638 565E)

• In case you need to be able to recognize me, here is an image.

• Here is a CV; and here are some past affiliations.

• Materials for a Cryptology lab at the 2011 CSU-P MathSciFest

A fundamental domain with many faces, seen from outside hyperbolic space; see paper with T. Drumm Random Scientific Information The 3-dimensional moduli space of boundary compactifications; see papers with A. Iozzi

• Some of my [p]reprints can be found here.

• Follow this link for some interactive mathematics -- using a Java applet to help visualize the geometry of fundamental domains (like the pattern of circles above) for the action of cyclic subgroups of $PSL(2,\CC)$ on the boundary $\partial H^3_\RR$of three-dimensional hyperbolic space.

• Many pretty fundamental domains (like the one to the left) in the interior of $H^3_\RR$ for the action just mentioned are shown in a gallery.

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

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!

Jonathan Poritz (jonathan.poritz@gmail.com)

Page last modified: Friday, 04-May-2012 16:11:58 MST

Jonathan A Poritz

	Primary position, course info
	• I am an Associate Professor in the Department of Mathematics and Physics at Colorado State University, Pueblo, where I am teaching in the Summer of 2012:
	Math 121: College Algebra (here is its schedule/HW page)
	• Web pages for (some) past courses are here.
	• Here is a link to my usual daily schedule.
	Random Useful Information
	• Current analog contact coordinates are available here.
	• E-mail: jonathan.poritz@gmail.com (That is my primary, preferred e-mail address. If something seems not to be working with it, however, you can try poritzj@post.harvard.edu or jonathan@poritz.net) Feel free to send me encrypted e-mail, by using my GnuPG key (Fingerprint:7C8B ADBA FE03 3C31 4E52 071D 8488 65F3 7638 565E)
	• In case you need to be able to recognize me, here is an image.
	• Here is a CV; and here are some past affiliations.
	• Materials for a Cryptology lab at the 2011 CSU-P MathSciFest
	Random Scientific Information
	• Some of my [p]reprints can be found here.
	• Follow this link for some interactive mathematics -- using a Java applet to help visualize the geometry of fundamental domains (like the pattern of circles above) for the action of cyclic subgroups of $PSL(2,\CC)$ on the boundary $\partial H^3_\RR$of three-dimensional hyperbolic space.
	• Many pretty fundamental domains (like the one to the left) in the interior of $H^3_\RR$ for the action just mentioned are shown in a gallery.