My primary research interests are in algebraic number theory, specifically Iwasawa theory, modular forms, and L-functions. I also have a strong interest in mathematics education, in particular, education policy and curriculum development.
2008 - present
2006 - 2008
1999-2003
University of Arizona PhD in Mathematics
Advisor: Romyar Sharifi
Clemson University MS in Mathematics
Advisor: Kevin James
St. Olaf College BA in Mathematics
2011 - 2012
2010 - 2011
2008 - 2010
2007 - 2008
2006 - 2007
2004 - 2006
NSF GK-12 Fellow Mountain View High School
NSF GK-12 Fellow St. Michael's Parish Day School
Teaching Assistant University of Arizona | Department of Mathematics
Research Assistant Clemson University | Academic Success Center
Teaching Assistant Clemson University | Department of Mathematical Sciences
Trading AnalystGMAC-RFC Principal Investment Activities
2011
2010
2009
2008
2008
NSF GK-12 Fellowship
University of Arizona | Department of Mathematics
NSF GK-12 Fellowship
University of Arizona | Department of Mathematics
High Pass - Qualifying Exam (First Attempt)
University of Arizona | Department of Mathematics
Outstanding Mathematics Graduate Student
Clemson University | Department of Mathematical Sciences
Graduate Assistant of the Year
Clemson University | Academic Success Center
The Square Threshold Problem in Number Fields (PDF)
Master's Thesis | Clemson University
Given an arbitrary number field and the corresponding ring of integers, we determine a probabilistic bound on the number of ideals of a specified norm that would need to be randomly selected with uniform probability before the product of some subset of these ideals is a square.
February 2011
November 2010
December 2009
September 2008
"Monday Math Mania - A Middle School Math Circle"
MEAD Conference | Tucson High School
"Math is Everywhere"
Family Math Night | St. Michael's Parish Day School
"Galois Groups of p-polynomials"
RTG Mini Conference | University of Arizona
"Primes in Arithmetic Progression"
Graduate Student Colloquium | University of Arizona
October 2011
June 2011
April 2011
February 2011
January 2011
June 2010
April 2010
December 2009
March 2009
Workshop on Iwasawa Theory
University of Arizona | Tucson, AZ
G-TEAMS Summer Institute
Institute for Mathematics and Education | Tucson, AZ
Mathematicians in Mathematics Education
University of Arizona | Tucson, AZ
GK-12 Showcase | G-TEAMS, HEATWAVES & BioME
University of Arizona | Tucson, AZ
MEAD (Mathematical Educator Appreciation Day)
Tucson High School | Tucson, AZ
G-TEAMS Summer Institute
Institute for Mathematics and Education | Tucson, AZ
Mathematicians in Mathematics Education
Tucson High School | Tucson, AZ
Research Tutorial Group Mini-Conference
University of Arizona | Tucson, AZ
Arizona Winter School - Quadratic Forms
University of Arizona | Tucson, AZ