I’m a visiting professor in the math and computer science department of the University of Puget Sound. I study combinatorics, specifically the combinatorics of orthogonal polynomials. I was previously at KAIST and the University of Minnesota. Here’s how to contact me.
|email:||ddr…@pugetsound.edu. I digitally sign my messages with GPG; my key is here (key id 58C2E4BA). The digital signature is the little text attachment you see on emails from me.|
|office:||Thompson Hall 390K|
Department of Mathematics and Computer Science
University of Puget Sound
1500 N Warner StTacoma, WA 98416
My office hours are Monday 11:00-12:00, Wednesday 9:00-11:00, Thursday 15:00-16:00 – and, if you cannot come to my office during those times, any (reasonable) time by appointment. Check my schedule to see when I’m available and email or call to make an appointment.
Fall semester 2012, I am teaching Math 160, Introduction to Applied Statistics, sections A, K, and I.
At FPSAC 2007 I gave a talk on the combinatorics of associated Hermite polynomials. I have slides from the talk, and a preprint of the paper is available at arXiv:0709.0987. The paper appeared in the European Journal of Combinatorics: doi:10.1016/j.ejc.2008.05.009 (here is citation info).
Jang Soo Kim and I have a preprint: k-distant crossings of matchings and set partitions, which was accepted as a poster at FPSAC 2009 and appears in the proceedings.
See arXiv:0909.1655. This paper was published in Advances in Applied Mathematics: doi:10.1016/j.aam.2009.12.008. I gave a talk on this paper at the 2012 Combinatorial Potlatch in Vancouver; here are the slides.
See arXiv:1006.1959. In the k-distant noncrossing matchings paper above, Jang Soo and I proved that little Schroeder paths are equal to the generating function for certain weighted Dyck paths; this paper presents a bijective proof of that fact and examines its consequences. This appeared in the Journal of Integer Sequences. I gave a talk on this bijection at the Korea Combinatorics Workshop at Yeungnam University; here are the slides. I also gave a talk on the bijection at the fall 2010 KMS meeting at Postech: here are those slides which are an improved version of the Yeungnam ones. The Sage demo I used is here.
I talked about this bijection at the KPP combinatorics seminar, in the larger context of the combinatorics of Chebyshev, Hermite, and Charlier orthogonal polynomials. Here are the slides.
Karl-Dieter Crisman and I organized an MAA PREP workshop on Sage during the summer of 2012.
I’m the main author of the SageTeX package, which allows you to easily pull the results of Sage computations and plots into your LaTeX document. And since Sage is based on Python, you can write Python that writes LaTeX for you. This is really useful! SageTeX is a (admittedly small) component of an NSF grant for “integrating open mathematics software and open educational materials into the mathematics curriculum and classroom”.
Try it today. If you’re really curious, you can follow SageTeX development at bitbucket.
I maintain the KAIST Sage server(s). If you are interested in an account on the Memorial Day server, please email me. Otherwise, anyone can use the Groundhog Day server. (Read about the difference between the two servers.)
In 2007, I developed some Java applets that demonstrate the geometric operations of truncation, expansion, and snubification on the Platonic solids. My goal was to get all of the Archimedean solids this way; it turns out to be impossible, but I enjoyed making the applets and you may find them interesting.
That page also includes a little mini-essay on the freedoms and restrictions that mathematical software affords and imposes on you.
GeoGebra is a Java program with which you can easily make very cool interactive geometry demonstrations. Its focus is on elementary Euclidean geometry, but I’ve discovered that you can use it for an impressive variety of 2-dimensional graphics. It’s also extremely easy to make web pages with GeoGebra – see my pages on the complex cosine or polar plotting or Riemann sums for definite integrals. Try double-clicking on the applet to open the full GeoGebra program!
I’ve also published a (IMHO) very nice applet demonstrating the epsilon-delta definition of limits.
TikZ is a graphics system for TeX and friends. It’s very powerful, and somewhat similar to PSTricks. I highly recommend TikZ (and its lower-level engine, PGF) for all your graphics needs when writing LaTeX documents. Here are some examples of things I’ve made with TikZ:
Here are some old notes and other things I wrote back in grad school; according to server logs, they’re relatively popular and I should update and improve these sometime, but for now, here they are: