Talks, Posters, Informal Presentations, etc.

• North Dakota State University, Algebra Seminar (May 7 2013)
• AMS Special Session on Commutative Ring Theory, Iowa State University (April 27-28 2013)
• North Dakota State University, Algebra Seminar (March 12 2013)

• North Dakota State University, Junior Colloquia (May 2012). Bifurcations in hybrid spiking neuron models.
• North Dakota State University, Math Club (April 2012). Deriving simple neuron models.
• North Dakota State University, Math Club (September 2011). Bifurcations, zombies, and control theory, part II.
• North Dakota State University, Math Club (April 2010). Bifurcations, zombies, and control theory, part I.
• Colorado State University, Biology Student Research Symposium (June 2007). Vector-borne zoonotic dynamics in black-tailed prairie dogs.

• North Dakota State University, Further Connections Between Algebra and Geometry, February 2013: Homological Results from the Group of Divisibility.
  Mott proved a bijection between saturated multiplicatively closed subsets of a domain D and directed convex subgroups of the group of divisibility G(D). We construct a functor between inclusions of saturated localizations of D and projections onto partially ordered quotient groups of G(D). This functor yields cochain complexes of o-homomorphisms of po-groups, leading naturally to some homological insight factorization behavior of D and a structure theorem. This may lead further into the geometric properties of the divisor graph of D.
• York University, Centre for Vision Research Conference, June 2009: Critique of a Wilson-Cowan model linking neural synchronization with visual grouping.
  Herein we deconstruct a model presented by Cheadle. Although not technically a Wilson-Cowan model due to an ostensibly innocent reversal of order-of-operations, the model is capable of astoundingly complicated behavior. However interesting, the model is not suitable for modeling neurons.
• Colorado State University, 12th Annual Dept. of Biology Student Research Symposium, June 2007: Modeling the evolution of plague resistance in prairie dogs.
  Herein we develop a continuous-time modified ecological SIR model describing plague dynamics in prairie dogs and their associated flea species. Working with the CDC, we parameterize the model using real-world results. We implement a stochastic simulation of that model and analyze the results; our results can explain the lack of evolution of resistance to plague in prairie dogs.
• Colorado State University, Summer Ecology Research Program Symposium, June 2006: Disease modeling in black-tailed prairie dogs.
  Herein we develop a continuous-time modified ecological SIR model describing plague dynamics in prairie dogs and their associated flea species. We implement a stochastic simulation of that model and explore the parameter space in pursuit of obvious bifurcations.

Math: Research | Talks, Posters, etc. | Teaching & Courses

Jobs: Curriculum Vitae | Research Statement | Teaching Statement

NDSU Mathematics Dept #2750
1210 Albrecht Blvd, Minard 412
Fargo ND 58103
701.231.8408
brandon.goodell(at)ndsu.edu