Research Interests for Chad Schoen

I work on the geometry and arithmetic of figures defined by polynomial equations. I am especially interested in the geometry of algebraic curves, surfaces, threefolds and fourfolds over the complex numbers, over numbers fields, over finite fields and over fields of transcendence degree one over finite fields. More specifically I study elliptic surfaces, elliptic threefolds, Calabi-Yau varieties, abelian varieties and surfaces of general type. I am interested in Chow groups of algebraic varieties and the relationship between a variety's Chow groups and its arithmetic and geometric properties.

Areas of Interest:

Geometry of algebraic varieties
Algebraic Cycles
Chow Groups

Recent Publications

1. C. Schoen, Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number, to appear in Compositio Mathematicae (Accepted, July, 2008)
2. C. Schoen, A family of surfaces constructed from genus 2 curves, International Journal of Mathematics, vol. 18 no. 5 (May, 2007), pp. 585-612
3. C. Schoen and J. Top, Drinfeld modules and torsion in the Chow groups of certain threefolds, Proceedings London Mathematical Society, vol. 95 no. 3 (2007), pp. 545-566
4. C. Schoen, Albanese standard and albanese exotic varieties, J. London Math. Soc., vol. 74 (2006), pp. 304-320
5. C. Schoen, Specialization of the torsion subgroup of the Chow group, Mathematische Zeitschrift,, vol. 252 (2006), pp. 11-17