Research and Publications:
I earned my PhD in mathematics from the University of Arizona in 2007, and my mathematics research is in arithmetic geometry. This is a beautiful and challenging field in which techniques of algebraic geometry are applied to questions in number theory. In current work I study abelian varieties over function fields and finite fields. My undergraduate work was in mathematics education, and I am a (temporarily?) retired middle school and high school mathematics teacher. Since my own high school years, I have been concerned about academics and equity issues in our public schools. As the director of mathematics teacher education at Stony Brook, I now enjoy working with some of our nation's best current and future teachers.
My Erdös number is 3.
Mathematics Teacher Professional Development in New York State. M. Markinson and L. Berger. Submitted (2023).
Attending to Precision: Mathematical Definitions in Courses for Pre-service and Practicing Teachers. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies , 28:8 (2018) 772-784
Mathematical Language and the Common Core Standards for English. English Journal 102.5 (2013) 16-20.
Equivalence Relations Across the Secondary Curriculum. Mathematics Teacher106 (2013) 508-512.
Universal number partition problem with divisibility. (with M. Dror and J. Lynch) Discrete Mathematics312 (2012) 1692-1698.
The l-rank structure of a global function field. (with J.-L. Hoelscher, Y. Lee, J. Paulhus and R. Scheidler). Fields Institute Communications Series60 American Mathematical Society, Providence, RI, (2011), 145-166.
Towers of surfaces dominated by products of curves and elliptic curves of large rank over function fields. Journal of Number Theory128 (2008) 3013-3030.
Recent and Upcoming Conferences and Presentations: