# Chadmark L. Schoen

- Professor of Mathematics

**External address:**191 Physics Bldg, Durham, NC 27708

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

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

**Office Hours:**

Monday 11-12 and Friday 11-12

or by appointment

### Research Areas and Keywords

##### Geometry: Differential & Algebraic

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. "The Chow group modulo $l$ for the triple product of a general elliptic curve." *Asian Journal of Mathematics* 4.4 (2000): 987-996.
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Schoen, C. "On certain exterior product maps of Chow groups." *Mathematical Research Letters* 7.2-3 (2000): 177-194.

Schoen, C. "On the image of the l-adic Abel-Jacobi map for a variety over the algebraic closure of a finite field." *Journal of the American Mathematical Society* 12.3 (1999): 795-838.

Schoen, C. "An integral analog of the Tate conjecture for one dimensional cycles on varieties over finite fields." *Mathematische Annalen* 311.3 (1998): 493-500.

Schoen, C. "Addendum to: Hodge classes on self-products of a variety with an automorphism." *Compositio Mathematica* 114.3 (1998): 329-336.

Buhler, J, Schoen, C, and Top, J. "Cycles, L-functions and triple products of elliptic curves." *Journal fur die Reine und Angewandte Mathematik* 492 (1997): 93-133.

Schoen, C. "Varieties dominated by product varieties." *International Journal of Mathematics* 7.4 (1996): 541-571.
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Gross, BH, and Schoen, C. "The modified diagonal cycle on the triple product of a pointed curve." *Annales de l’institut Fourier* 45.3 (1995): 649-679.
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Schoen, C. "On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field." *Ann. Sci. École Norm. Sup.* 28.4 (1995): 1-50.

Ross, M, and Schoen, C. "Stable quotients of periodic minimal surfaces." *Communications in Analysis and Geometry* 2.3 (1994): 451-459.
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