![[ THE HUNGER SITE ]](http://www.5z.com/images/thehungersite-banner.gif)
Office: 105 Altgeld Hall
Office hours: MW noon - 12:50 pm and W 4:00 - 4:50 pm
Office Phone: (217) 333-3143
Email: jlebl@math.uiuc.edu
Postdoc (i.e. grad student emeritus) in mathematics at UIUC. Wearer of hats (hat in fact, I only have one) and silly colored socks. Degrees and such nonsense: BA is from SDSU (2001), MA from SDSU (2003), PhD from UCSD (2007). My mathematics genealogy. Markéta's page.
Current interests: Several complex variables, CR geometry. In particular real analytic CR submanifolds, Levi-flat hypersurfaces, singular real and complex varieties, proper holomorphic mappings between balls. MSC: 32, 14, 35
See my Research Statement and my Curriculum Vitae. May be slightly out of date. For up to date publication list, see below.
Jiří Lebl, Singular Levi-flat hypersurfaces in complex projective space, preprint arXiv:0805.1763.
John P. D'Angelo, and Jiří Lebl, Convex families of proper mappings between balls, preprint arXiv:0802.1739.
Jiří Lebl, Levi-flat hypersurfaces with real analytic boundary, preprint arXiv:0710.3801.
John P. D'Angelo, and Jiří Lebl, Complexity results for CR mappings between spheres, to appear in International Journal of Mathematics, preprint arXiv:0708.3232.
Jiří Lebl, Singularities and complexity in CR geometry, PhD thesis, University of California at San Diego, Spring 2007.
Jiří Lebl, Extension of Levi-flat hypersurfaces past CR boundaries, Indiana University Mathematical Journal, 57 (2008), no. 2, 699-716, arXiv:math.CV/0612071. Further notes / additions
John P. D'Angelo, Jiří Lebl, and Han Peters, Degree estimates for polynomials constant on a hyperplane, Michigan Mathematical Journal, 55 (2007), no. 3, 693-713, MR2372622, arXiv:math.CV/0609713. Further notes / additions
Jiří Lebl, Nowhere minimal CR submanifolds and Levi-flat hypersurfaces, Journal of Geometric Analysis, 17 (2007), no. 2, 321-342, MR2320166, arXiv:math.CV/0606141.
Jiří Lebl, Quasiconformal extensions of quasisymmetric mappings, Masters thesis, SDSU, Spring 2003.
Maia Karolína Lebl (coauthored with Markéta), 3.2kg (7.1 lb), July 27th 2006.
Levi-flat hypersurfaces with real analytic boundary, Special session CMS meeting, December 2007, London, ON.
Extensions of Levi-flat hypersurfaces past CR boundaries, Special session AMS meeting, October 2007, Chicago, IL.
Singularities of Levi-Flat Hypersurfaces, International Conference in
PDE, Complex Analysis, and Differential Geometry, June 2006, Notre Dame, IN.
Genius - A free software (GPL) mathematics package for Unix/Linux (also works on MacOS X). See the website for more information and the latest release. Some sort of release is usually included in most linux software repositories (e.g. universe in Ubuntu). I have been working on this since about '97 and it is quite capable nowdays.
Seminar notes: Several Complex Variables are Better than One. Here are the notes from the seminar on Hartogs theorem and some of its consequences given in Food for Thought seminar on Feb 2nd '06. Get the notes in PDF here. Large font was for me, if you want smaller font get the tex file.
After my masters thesis defense I had some free time and dabbled crypto for a bit (I was taking a crypto class at SDSU) and there was a final project, so I wrote up a short paper where I came up with two new toy public key crypto systems (not useful, but perhaps the ideas could be refined). Anyway this is from May 2003 "Toy Public Key Cryptography" (PDF) (or as postscript)
I went on a holiday in Hawaii with Markéta (we married after we got back from there) and so obviously I brought the MAA Monthly and solved a few problems. Here's 10998 as postscript or latex (appeared in the December 2004 issue), and 11002 as postscript or latex (both done circa spring 2003). We've been to Hawaii since, but I didn't really spend much time at all on math then, maybe I'm not such a huge geek after all.
Some unfinished (and never will be finished) research on counting b-nary fraction sequences summing to 1. Here as postscript file (circa summer 2002). Unfortunately after I did the main counting result I then found that this was already published in the 70's (MR 50:1767) (concentrating on b=2 and done with simpler formulas). I haven't actually found anything really new beyond that. Thus endeth my brief excursion into combinatorics and info theory.
Also I've written quite a few of the encyclopedia entries on Planetmath. The encyclopedia there is pretty good and rigorous, but don't go into the papers section since it's usually complete crap.
If you are interested in a dead tree version of my thesis, some of my strange czech poetry, or some photobooks, or whatever else I've put on lulu ... see my lulu page.
Here are some pictures from the MSRI, CR Geometry workshop in 2005. Not really pictures from the workshop, but more from walking around Berkeley. And here are some pictures from the AIM workshop on CR complexity in Septermber 2006. In similar spirit. There are some other pictures from conferences and random other things at our galleries: old gallery, new gallery
If you ever wondered what a five-legged goat looks like, see Goat Love, Inc.
See my non-math home page for other boring info including some more math stuff.
 |
Department of Mathematics College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Department Main Office Telephone: (217) 333-3350 Fax (217) 333-9576 |