Chadmark L. Schoen

missing portrait
  • 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

Chow Groups of Projective Varieties awarded by National Science Foundation (Principal Investigator). 2002 to 2006

Chow Groups of Smooth Projective Varieties awarded by National Science Foundation (Principal Investigator). 1999 to 2003

(95-0609) Mathematical Sciences: Chow Groups of Smooth Projective Varieties awarded by National Science Foundation (Principal Investigator). 1993 to 1996

(94-0815) Mathematical Sciences: Chow Groups of Smooth Projective Varieties awarded by National Science Foundation (Principal Investigator). 1993 to 1995

(93-0410) Chow Groups of Smooth Projective Varieties awarded by National Science Foundation (Principal Investigator). 1993 to 1994

(90-0544) Chow Groups of Smooth Projective Varieties awarded by National Science Foundation (Principal Investigator). 1991 to 1992

Schoen, C. "An arithmetic ball quotient surface whose Albanese variety is not of CM type." Electronic Research Announcements in Mathematical Sciences 21.0 (September 2014): 132-136. Full Text

Schoen, C. "The geometric genus of a desingularized fiber product of elliptic surfaces." Proceedings of the American Mathematical Society 141.3 (2013): 745-752. Full Text

Schoen, C. "Torsion in the cohomology of desingularized fiber products of elliptic surfaces." Michigan Mathematical Journal 62.1 (2013): 81-115. Full Text

Schoen, C, and Top, J. "Drinfeld modules and torsion in the Chow groups of certain threefolds." Proceedings of the London Mathematical Society 95.3 (2007): 545-566. Full Text

Schoen, C. "A family of surfaces constructed from genus 2 curves." International Journal of Mathematics 18.5 (2007): 585-612. Full Text

Schoen, C. "Specialization of the torsion subgroup of the Chow group." Mathematische Zeitschrift 252.1 (2006): 11-17. Full Text

Schoen, C. "Albanese standard and albanese exotic varieties." Journal of the London Mathematical Society 74.2 (2006): 304-320. Full Text

Schoen, C. "Fermat covers, fermat hypersurfaces and abelian varieties of fermat type." Quarterly Journal of Mathematics 57.4 (2006): 539-554. Full Text

Schoen, C. "complex varieties for which the chow group mod n is not finite." Journal of Algebraic Geometry 11.1 (2002): 41-100.

Pages

Schoen, C. "Invariants of regular models of the product of two elliptic curves at a place of multiplicative reduction." Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds 67 (2013): 461-487.

Schoen, CL. "Cohomology computations related to the l-adic Abel-Jacobi map modulo l." The Arithmetic and Geometry of Algebraic Cycles 548: 433-466.

Six graduate students participated in the May 15, 2016 graduation ceremonies to celebrate earning their PhDs in Mathematics. Their thesis topics were impressive and varied, and reflected the breadth of study in the department. Their advisors and... read more »