## John M. Neuberger

### Associate Professor of Mathematics Department of Mathematics and Statistics College of Engineering, Forestry, and Natural Sciences Northern Arizona University

June 2012 Variational and Topological Methods Conference

 Fall 2012 Course Schedule: MAT136 - Calculus I MAT431, Advanced Calculus. Vita. Research Statement. Papers.

Some Current Research.
 Bifurcation DiagraphDecorated Cayley graph for Z5 Solution on the Dodecahedron with Anomalous Invariant Symmetry related to identification to the Petersen graph A CCN solution on the Truncated Icosahedron, a MI 2 minimal energy solution which changes sign exactly once

Some Other Research.
 Bif Diag, sym/asym sol: u''+s*u +4(x-.5)^2u^3=0 on (0,1) u(0)=0=u(1) Triple Junction on Disk 6th eigenfunction of the Laplacian on a Snowflake. Bifurcation Diagram for Triple Well System Equivalence Classes of Solutions near primary bifurcation point off of trivial (local max) branch for Triple Well System Neumann BC e-fncts on Disk 13+31 tertiary branch non-odd 12+21 branch possible G-L vortex? Plotting $u:C\to C$ as vector field