Welcome to my web page
For specific information about me, try one of these links:
During the 2019-20 academic year, I will once again be overseeing the department's interaction with the International College of Beijing as well as helping to oversee the CU Succeed Mathematics program. I will be teaching Math 3000, which is our undergraduate "Introduction to Proof" course, and will again be employing the help of an LA, to increase the classroom participation in daily student-based activities. In addition, I expect to be teaching our Graph Theory course and will use "the swivl" to record lectures, and offer the course as MCKE 5409 - online - for teachers. In class, encouraging peer-to-peer learning, I expect will be helpful to expand upon the learning that results.
In addition, we are in the fifth year our NSF funded project to explore the enhanced GTA instruction and the impact on early undergraduate success, that results. Recently, we were awarded two new collaborative NSF projects. The intent of one project, is to replicate our doctoral training program and extend the research to better understand the impact on the graduate students, as well as the undergraduate students they teach. In addition, I am the co-PI on an S-STEM (Scholarships in STEM) for academically talented students with financial need. The project will provide access to over $1M to students at CU Denver, with research being conducted on the increase impact on student success. I am on two NSF project Advisory Boards - one primarily studying the professional needs of doctoral students in the Mathematical Sciences, and how the community can best prepare these students for their professional careers and the second pertaining to early teaching experiences for future teachers.
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"
- Samantha Graffeo (on leave from doctoral program): TBD
- Nathan Kurtz (on leave from doctoral program): "Cycle Structure of Tournaments"
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