Chadmark L. Schoen

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  • 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: 

February 14 - March 21, 2017
Tuesday   10:30 - 11:30
Thursday 10:30 - 11:30

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.

Education & Training
  • Ph.D., University of Chicago 1982

  • B.A., Haverford College 1975

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. Full Text

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. "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. Full Text

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. Full Text

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