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Undergraduate Research Projects Funded 2008-2010

India Schrankel is working with Professor Pedro Embid

 
India Schrankel
Univ. of New Mexico

Bobby Sena is working with Professor Helen Wearing

 
Bobby Sena
Univ. of New Mexico

Jason Archer is working with Professor Monika Nitsche

 
Jason Archer
Univ. of New Mexico

Joshua Beach worked on a financial Mathematics research project with Professor Jens Lorenz, which was a joint appointment with the departmental honors program and NSF. He went to Yale University in Fall 2009. He is expecting to receive his MS in Statistics in Spring 2010. He is applying for a PhD in Financial Mathematics.

From the time I was in elementary school, I have always had a strong interest in mathematics. This zeal led me to the University of New Mexico in 2005 where I began my undergraduate math career in Linear Algebra. Now, after 17 upper division courses in math, and an almost complete second major in economics, I am preparing for a graduate education in Statistics. Specifically, I wish to study financial mathematics/statistics in attempts to unearth new truths in this relatively new field of study.

I am the first withinin my immediate family to attend college, and I would be far from where I am today if it weren't for the wonderful faculty and staff of the Mathematics Department, who always had an open door, and who never ceased to facilitate my desire to learn. Having been born and raised in Albuquerque, New Mexico, I am proud to say the picturesque Sandias and the ubiquitous green chile have been a perennial part of my life.     [More on Joshua]
Joshua Beach
Univ. of New Mexico




Bob Cordwell's planned  undergraduate research project (URP)
under the direction of Prof. Terry Loring
___________________________________________________

I will be undertaking a research / reading guided study, under the mentorship of Professor Loring.  The study will be focused around the paper "Almost Commuting Unitary Matrices" written by Prof. Loring, and will consist of two parts. 

For the first component, I will be using Hoffman & Kunze's Linear Algebra to perform a detailed reading of the paper and learn the motivating linear algebra, with the ultimate goal being to rewrite the paper in order to be accessible to an undergraduate audience.  After having achieved this level of background knowledge I will, time permitting, perform research relating to sparse unitary matrices and write this research up in a paper of my own.
  
Additionally, I will be studying functional calculus as it relates to matrices  Specifically, I will focus on the use of the Jordan Canonical Form as it relates to calculating powers and functions of matrices.  This will also motivate an understanding of winding numbers as they relate to linear algebra, which is important both for rewriting Prof. Loring's paper as well as performing any
  
Bob Cordwell    
Univ. of New Mexico
 

Matthew Groden's planned  undergraduate research project (URP) under the direction of Prof. Jim Ellison
___________________________________________________ Matthew's project will be a theoretical study of Free Electron Lasers. He will be attempting to gain insight in the Mathematics and Physics of Free Electron Lasers. The project will study the Vlasov-Maxwell system of equations and look at the High Gain regime using the Vlasov formalism, rather than a discrete beam approach.

 Matthew will get a BS from UNM in May 2009, with a double major in Mathematics and Physics. He is going on to graduate school at the University of North Carolina.
 
Matthew Gooden
Univ. of New Mexico
   

Alex Washburn's planned  undergraduate research project (URP) under the direction of Prof. Helen Wearing
___________________________________________________
Investigating the consequences of different continuous dynamical mathematical models for virulent and temperate viruses, which will involve the use of linear stability analysis, and numerical approximations of stability where linear stability analysis fails.

Alex Washburn    
Univ. of New Mexico
Summer Workshop      Undergraduate Research Projects      Graduate Student Mentoring