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John Alford

Undergraduate Research Projects


I have had the privilege to work with outstanding undergraduate students from whom I have learned a lot.  This work has involved applied mathematics and modeling and topics such as the theory of reaction-diffusion equations, mathematical ecology, and mathematical models of musical instruments.

Ø As a postdoctoral student at Tulane University I helped facilitate a summer REU program in applied mathematics.  The REU students visited from across the country and worked on various problems involving what are commonly known as reaction-diffusion equations. 

Ø I have worked with students on various honors theses and our collaborations have resulted in theses entitled:

·        The Importance and Evolution of Invasive Species Modeling (with Mark Reppell)

·        A Finite Difference Model of Flute Dynamics (with Stefanie Meyer)

Ø I am currently involved in LURE (Longterm Undergraduate Research Project) here at Sam Houston State University.  We are working on mathematical models of plant competition and herbivory in order to better understand how to control invasive aquatic plants such as hydrilla.