Topics Michael can bring to your classroom:Graph TheoryThe CycloidMathematical ModelingNumber TheoryGeometryProblems with Prime NumbersCombinatorics
Education:Bachelor’s in Secondary Education (Mathematics)
Currently I am studying problems in Extremal Graph theory. A graph is a group of objects (people, computers, particles) that we call vertices; we connect them with a line we call an edge if they are related. Facebook can be viewed this way. People are the vertices and we connect them if they are friends on Facebook. Extremal graph theory asks how many connections can you make without violating certain conditions, conditions that you are interested in. For example let’s say how many connections can you make if you don’t allow a triangle in your graph. That means 3 people who are each friends with the other two. What we are aiming for is how much information do you need to describe the graph as well. There are also other things you can do with graphs to describe and hopefully solve other problems, since you can build a graph in a large number of situations.
I am originally from Colorado, but came to Laramie for my undergrad degree. I participated on the Cross Country and Track teams at UW. After finishing my degree, I nearly took a job teaching at a high school in Colorado but decided not to. Instead I went to graduate school. It was a hard choice but I was motivated by that question students ask, ”when are we ever going to use this?” Well, I didn't have a good answer for them. Graduate school has provided a way for me to learn more about math and has given me a number of tools and experience to properly answer that question. The other reason, math is cool!