Welcome to my web page
For specific information about me, try one of these links:
This academic year, I will be Interim Department Chair.
I will be teaching Math 3000, which is our "Introduction to Proof" course, and I will be employing the help of two LAs. I'm looking forward to exploring the ways that the LAs are able to help the students in the class to better comprehend the idea of "proof". I also believe that it will be helpful to watch the peer-to-peer learning that results.
In addition, I am the PI on an NSF funded project to explore the enhanced GTA instruction and the impact on early undergraduate success that results. I am also the co-PI on an NSF project to explore the ways that outreach experiences for undergraduates as well as graduate students effects the basic understanding of the STEM disciplines. Also, as part of this project, I will be co-teaching IDST 4000/5000 - STEMunication 101, which will help the students in the project to explore and improve their own STEM communication skills.
Finally, I am presently Chairman of the Rocky Mountain Section of the Mathematical Association of America.
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:
- 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 (May 2009): "Cycle Structures in Graphs"
- Craig Tennenhouse (May 2010): "Some Extensions of Graph Saturation to Edge Colored, Oriented and Subdivided Graphs"
- Brent Thomas (May 2016): "Saturation Spectrum for Trees"
- Hank Turowski (expected 2017): "H-Interval Graphs"
- Samantha Graffeo (on leave from doctoral program): TBD
- Nathan Kurtz (on leave from doctoral program): "Cycle Structure of Tournaments"
If you can't find what you need, contact me...