Undergraduate Research

**During the 2014 – 2015 academic year, 14 students working with seven professors completed undergraduate research projects.**

**Kyle Busse**,

*Extended states conjecture and graphene, faculty mentor*, faculty mentor - Conni Liaw (Jointly with Lorin Matthews, Physics)

**Brenna Cole**,

*Original research generalizing a known result and partially resolving a published conjecture in Diffsequences*, faculty mentor – Dave Arnold

**Thomas Gibson**,

*Krylov methods for finding multiple eigenvalues of large nonsymmetric matrices*, faculty mentor – Ron Morgan

**Akshay Gollapoli**,

*Techniques from topological dynamics; symbolic dynamics*, faculty mentor – Brian Raines

**Ethan Gwaltney**,

*Approximation in Hilbert space*, faculty mentor - John Davis

**Megan Hollister**and

**Emily Joslin**,

*Techniques from topological dynamics; structure of invariant Cantor set repellors*, faculty mentor – Brian Raines

**Rachel Hess**,

*Parallel computing and finite element methods*, faculty mentor - Rob Kirby

**Ryan Malthaner**,

*The method of characteristics for nonlinear hyperbolic PDEs*, faculty mentor – John Davis

**Matthew Mosley**,

*Stochastic Control of an Inverted Pendulum*, faculty mentor – John Davis (joint with Ian Gravagne from Engineering)

**Jia Qi**,

*Geometric Ramsey Theory*, faculty mentor - Paul Hagelstein

**Katie Russell**,

*Polynomial preconditioning for non-restarted Krylov iterative methods*, faculty mentor - Ron Morgan

**Mike Stanley**,

*A rigorous mathematical development of algorithms for finding the prime form of a chord in music theory, which does not seem to be in the literature, and a detailed analysis of the use of the prime form by a variety of composers*, faculty mentor - Dave Arnold (Co-supervised by Dr. Ed Taylor, School of Music)

**Tyler Underwood**,

*Existence of uncountable scrambled sets in Baire space*, this led to a publication in Proc. AMS, faculty mentor - Brian Raines