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 2005 -- 2011)
- Math 4408 (Fall 2010)
- Math 4409 (Spring 2011)
- Math 4408 (Fall 2011)
- Math 4409 (Spring 2012)
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 (May 2009): "Cycle Structures in Graphs"
- Craig Tennenhouse (May 2010): "Some Extensions of Graph Saturation to Edge Colored, Oriented and Subdivided Graphs"
- Hank Turowski (expected 2013): TBD
- Samantha Graffeo (expected 2013): TBD
- Deborah Arangno (expected 2013): TBD
- Nathan Kurtz (on leave from doctoral program): "Cycle Structure of Tournaments"
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 our NSF GK12 project called Transforming Experiences (TELC). Additionally, we will run our second summer of "Research Experinces for Teachers" - RETs, which is a capstone experience for the MSP teachers.
During the 2011-12 academic year, I will be teaching the undergraduate Discrete Math sequence - Math 4408 & 4409 Graph Theory and Combinatorics. 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 students in Graph Theory and Combinatorics, and will lead Reading Courses for my doctoral students. In addition, I co-teach - Counting the Possibilities - Discrete Mathematics for Middle School Teachers - MATH 5007, which is part of our project to offer challenging content curriculum for Middle School Mathematics and Science teachers. We expect to complete several research projects related to this course and the teachers' training.
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:
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.
