- 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

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# Chadmark L. Schoen

**External address: **191 Physics Bldg, Durham, NC 27708**Internal office address: **Box 90320, Durham, NC 27708-0320**Phone: **(919) 660-2813**Office Hours: **
### 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.

##### Education & Training

### Selected Grants

## Pages

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 »

## Mathematics

## Academics

## Current Students

## Future Students

- Professor of Mathematics

February 14 - March 21, 2017

Tuesday 10:30 - 11:30

Thursday 10:30 - 11:30

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

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.
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Schoen, C. "The geometric genus of a desingularized fiber product of elliptic surfaces." *Proceedings of the American Mathematical Society* 141.3 (2013): 745-752.
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Schoen, C. "Torsion in the cohomology of desingularized fiber products of elliptic surfaces." *Michigan Mathematical Journal* 62.1 (2013): 81-115.
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Schoen, C. "Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number." *Compositio Mathematica* 145.1 (2009): 89-111.
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Schoen, C. "A family of surfaces constructed from genus 2 curves." *International Journal of Mathematics* 18.5 (2007): 585-612.
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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.
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Schoen, C. "Specialization of the torsion subgroup of the Chow group." *Mathematische Zeitschrift* 252.1 (2006): 11-17.
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Schoen, C. "Albanese standard and albanese exotic varieties." *Journal of the London Mathematical Society* 74.2 (2006): 304-320.
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Schoen, C. "Fermat covers, fermat hypersurfaces and abelian varieties of fermat type." *Quarterly Journal of Mathematics* 57.4 (2006): 539-554.
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Schoen, C. "complex varieties for which the chow group mod n is not finite." *Journal of Algebraic Geometry* 11.1 (2002): 41-100.

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, C. "Cyclic covers of P^v branched along v+2 hyperplanes and the generalized Hodge conjecture for certain abelian varieties." *Arithmetic of Complex Manifolds* 1399 (1989): 137-154.

Schoen, C. "Zero cycles modulo rational equivalence for some varieties over fields of transcendence degree one." *Algebraic Geometry, Bowdoin 1985* 46 part 2: 463-474.

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

120 Science Drive

117 Physics Building

Campus Box 90320

Durham, NC 27708-0320

phone: 919.660.2800

fax: 919.660.2821

dept@math.duke.edu