Chad Schoen, Professor
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. - Contact Info:
Office Location: | 191 Physics Bldg, 120 Science Drive Box 90320, Durham, NC 27708 | Office Phone: | (919) 660-2813 | Email Address: |   | Web Page: | http://www.math.duke.edu/~schoen | Teaching (Spring 2019):
- MATH 627.01, ALGEBRAIC GEOMETRY
Synopsis
- Physics 205, TuTh 11:45 AM-01:00 PM
- MATH 790-90.05, MINICOURSE IN ADVANCED TOPICS
Synopsis
- Physics 205, TuTh 01:25 PM-02:40 PM
- Office Hours:
- Monday 11-12 and Friday 11-12
or by appointment
- Education:
Ph.D. | University of Chicago | 1982 |
B.A. | Haverford College | 1975 |
- Specialties:
-
Algebra
Geometry
- Research Interests: Algebraic Geometry
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.
- Areas of Interest:
- Geometry of algebraic varieties
Algebraic Cycles Chow Groups
- Current Ph.D. Students
(Former Students)
- Recent Publications
(More Publications)
- Schoen, C, An arithmetic ball quotient surface whose Albanese variety is not of CM type,
Electronic Research Announcements in Mathematical Sciences, vol. 21
(September, 2014),
pp. 132-136, American Institute of Mathematical Sciences (AIMS) [doi]
- Schoen, C, Torsion in the cohomology of desingularized fiber products of elliptic surfaces,
The Michigan Mathematical Journal, vol. 62 no. 1
(2013),
pp. 81-115, Michigan Mathematical Journal, ISSN 0026-2285 [doi]
- Schoen, C, The geometric genus of a desingularized fiber product of elliptic surfaces,
Proceedings of the American Mathematical Society, vol. 141 no. 3
(2013),
pp. 745-752, American Mathematical Society (AMS), ISSN 0002-9939 [doi] [abs]
- Schoen, C, Invariants of regular models of the product of two elliptic curves at a place of multiplicative reduction,
in Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds, Fields Institute Communications 67, edited by Laza, R. ; Schuett, M; and Yui, N.,
Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds, vol. 67
(2013),
pp. 461-487, SPRINGER, ISBN 978-1-4614-6402-0
- Schoen, C, Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number,
Compositio Mathematica, vol. 145 no. 1
(January, 2009),
pp. 89-111, Oxford University Press (OUP), ISSN 0010-437X [doi] [abs]
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