Welcome to my web page
For specific information about me, try one of these links:
During the 2018-19 academic year, I will once again be overseeing the department's interaction with the International College of Beijing as well as with the CU Succeed Mathematics program and the department offerings availble. I will be teaching Math 4409, which is our undergraduate "Applied Combinatorics" course, and I will be employing the help of an LA, to increase the classroom participation in student-based activities. In addition, I am trying to use "the swivl" to record lectures, and offer the course as MCKE 5409 - online - for teachers. I'm looking forward to exploring additional the ways that the LAs and recordings can be used to help the students at a distance to better comprehend and appreciate the beauty in the "art of counting". In class, encouraging peer-to-peer learning will be helpful to expand upon the learning that results.
In addition, we are in the fourth year of 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 co-taught IDST 4010/5010 Foundations in STEM Communication -- "STEMmunication 101" and hope to co-teaching it again during the spring 2019 semester. IDST 4000/5000 - STEMmunication 101, which will help the students in the project to explore and improve their own STEM communication skills.
Recently, we were awarded two new collaborative NSF projects. For one project, I am the PI for a study to replicate our doctoral training program and extend the research to better understand the impact on the graduate students as well as the 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 in 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.
Finally, I am presently "immediate past" Chairman of the Rocky Mountain Section of the Mathematical Association of America, which has responsibilites through the spring meeting - April 2019, in particular for chairing the section teaching award committees.
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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