Chad L. 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 group and its arithmetic and geometric properties. - Contact Info:
Teaching (Fall 2025):
- MATH 601.01, GROUPS, RINGS, AND FIELDS
Synopsis
- Physics 205, TuTh 08:30 AM-09:45 AM
- Office Hours:
- Monday 3:30-4:30 and Friday 4:00-5:00
or by appointment
- Education:
Ph.D. | The 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
- Keywords:
- Algebraic geometry
- Current Ph.D. Students
(Former Students)
- Recent Publications
(More Publications)
- Schoen, C, HODGE NUMBERS OF DESINGULARIZED FIBER PRODUCTS OF ELLIPTIC SURFACES,
Proceedings of the American Mathematical Society, vol. 152 no. 8
(August, 2024),
pp. 3215-3228 [doi] [abs]
- Beauville, A; Schoen, C, A Non-Hyperelliptic Curve with Torsion Ceresa Cycle Modulo Algebraic Equivalence,
International Mathematics Research Notices, vol. 2023 no. 5
(March, 2023),
pp. 3671-3675, Oxford University Press (OUP) [doi] [abs]
- Schoen, C, On certain complex projective manifolds with Hodge numbers H10 = 4 and h20 = 5,
Michigan Mathematical Journal, vol. 68 no. 3
(January, 2019),
pp. 565-596 [doi]
- 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,
Michigan Mathematical Journal, vol. 62 no. 1
(March, 2013),
pp. 81-115, Michigan Mathematical Journal, ISSN 0026-2285 [doi]
|