# Chadmark L. Schoen

- Professor of Mathematics

**External address:**191 Physics Bldg, 120 Science Drive Box 90320, Durham, NC 27708

**Internal office address:**Box 90320, Durham, NC 27708-0320

**Phone:**(919) 660-2813

**Office Hours:**

Monday 11-12 and tuesday 11-12

or by appointment

### Research Areas and Keywords

##### Geometry: Differential & Algebraic

algebraic cycles, Chow groups, Hodge conjecture, Tate conjecture, Generalized Birch and Swinnerton-Dywer conjecture, algebraic surfaces, algebraic threefolds, varieties over finite fields, Galois representations and cohomology

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, over fields of transcendence degree one over finite fields and over discrete valuation rings with perfect residue field. 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.

Schoen, C. “On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle.” *Journal Fur Die Reine Und Angewandte Mathematik*, vol. 1986, no. 364, Jan. 1986, pp. 85–111. *Scopus*, doi:10.1515/crll.1986.364.85.
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Schoen, C. “Algebraic cycles on certain desingularized nodal hypersurfaces.” *Mathematische Annalen*, vol. 270, no. 1, Mar. 1985, pp. 17–27. *Scopus*, doi:10.1007/BF01455524.
Full Text