Research

My research interests are primarily in Newton polygons of L-Functions of exponential sums, primarily motivated by the tools developed by Daqing Wan.  I hope to use these tools to investigate asymptotic variation of these polygons as p tends toward infinity.  Lower bounds are well established.  Asymptotic behavior us understood in one dimension and a few cases of two but higher analogues remain.

I also use some exponential sum methods in algebraic trace codes. Some of my work is trying to extend results of Marcel Van Der Vlugt.  I am currently investigating the computational limits of these results. 

Recent Publication:

Regular decomposition of ordinarity in generic exponential sums

http://dx.doi.org/10.1016/j.jnt.2013.01.005