05/28/2020 - 9:02am

Math Graduate Student, Kelly Isham, Awarded 2020-2021 President’s Dissertation Year Fellowship!

Congratulations to Kelly Isham! Kelly entered the PhD program in 2016. Her research area is Algebra & Number Theory and her advisor is Professor Nathan Kaplan. 

"My dissertation will compose two main projects that are at the intersection of combinatorics and number theory. First, I count the number of n-arcs in projective space. Glynn gave a formula for the number of n-arcs in the projective plane in terms of special 'extremal configurations.' I am generalizing this formula to 3-dimensional projective space, which will be given in terms of special configurations I call 'hyperfigurations.' For the second project, I am working on finding a new lower bound for the number of subrings of prime power index in Z^n, which should lead to a new lower bound for the number of orders in a number field." 

The President’s Dissertation Year (PDY) Fellowship is intended for students in their final year of graduate study who are planning to pursue teaching and research appointments soon after their dissertation fellowship year. This award assists graduate students with the completion of their dissertation, and enhances their qualifications as candidates for university faculty teaching and research appointments by professional opportunities needed to successfully obtain a faculty appointment.