Welcome to my web page

For specific information about me, try one of these links:

Curriculum Vitae   |   Publication List   |   Academic Lineage   |   Photo Gallery 

Teaching:

• Math 5007 (Summer 2007)
• Math 5405 (Fall 2007)
• Math 7405 (Spring 2008)
• Math 5007 (Summer 2008)
• Math 6409 (Fall 2008)
• Math 7409 (Spring 2009)

Doctoral Students:

• Art Busch (May 2005): "Arc-Traceable Tournaments"
• John Weigand (December 2006): "On Size Bounds and Ramsey-Type Numbers"
• Jesse Gilbert (May 2008): "Irregularity Strength of Digraphs"
• Angela Harris (expected May 2009): "H-avoiding Graphs"
• Craig Tennenhouse (expected May 2010): "D - Saturated Digraphs and Saturation Numbers"
• Nathan Kurtz (expected 2011): "Cycle Structure of Tournaments"
• Samantha Graffeo (expected 2012): TBD

Below is some quick information, contact me if you can't find what you need...

Instruction

Over the summer, in addition to overseeing all of the mathematics offerings for RM-MSMSP, I will be coordinating the new GK12 project called Transforming Experiences (TELC). During the 2008-09 academic year, I will be teaching the year-long combinatorics sequence. I am presently supervising three active doctoral students and have two other students who haven't started their research - yet. I hold a weekly research seminar for the students, and will lead Reading Courses for my doctoral students. In addition, I teach - Counting the Possibilities - Discrete Mathematics for Middle School Teachers, which is part of our project to offer challenging content curriculum for Middle School Mathematics and Science teachers.

Research Interests

Graph Theory and Combinatorics is the area of my primary research interest. I have published recently on the following topics:

• Irregular Labelings of Graphs and Digraphs
• Cycle Structure in Combinatorial Structures
• Generalized Ramsey Theory
• Degree Sequences
• Saturation Number of a Graph

Here are some links that are useful for Graph Theorists:

Graph Theory Resources  |  Journals  |  SIAM  |  Electronic Journal of Combinatorics

The Rocky Mountain Middle School Math Science Partnership

I'm one of the Co-PIs on the $12.5 M project, funded by the National Science Foundation which forms a collaboration between The University of Colorado Denver(UCD) and several other institutions of higher education and numerous front range school districts forming The Rocky Mountain-Middle School Math and Science Partnership (RM-MSMSP). The ultimate Purpose of the partnership is to increase student achievement in grades 6-8. It is expected that teachers who have an opportunity to participate in this professional development will not only be NCLB "highly qualified" but also become ?highly effective? teachers. These participants will also help to create a cadre of teachers who will be math and science leaders across the state. Check out RM-MSMSP.