- Number Theory and Algebraic Geometry
- A simple formula for the Picard number of K3 surfaces of BHK type
(With B. Olcken)
*Preprint*
- Some results on surfaces with p_g = q = 1 and K^2=2
(With P. Lewis) To appear in*Int. Math. Res. Not.*
- The secret life of 1/n: A journey far beyond the decimal point
*The Mathematics Enthusiast***13**(2016), no. 3, 189--216
- The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order
(With P. Comparin, N. Priddis, and R. Suggs)
*Adv. Theor. Math. Phys.***18**(2014), no. 6, 1335--1368
- The Tate Conjecture for a family of surfaces of general type with p_g = q = 1 and K^2=3
*Amer. J. Math.***137**(2015), 281--311
- A rank inequality for the Tate Conjecture over global function fields
*Expos. Math.***27**(2009), no. 2, 93--108.
## Research interests## Papers- Our Primitive Roots
Extended notes from an undergraduate talk on decimal expansions, primitive roots, and class numbers. (The article*The secret life of 1/n*above is based upon these notes. But the article contains quite a bit more and is generally more accessible, so that might be a better place to start.)
## Other |