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, CalabiYau
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:
Teaching (Fall 2018):
 MATH 601.01, GROUPS, RINGS, AND FIELDS
Synopsis
 Physics 205, WF 08:30 AM09:45 AM
Teaching (Spring 2019):
 MATH 627.01, ALGEBRAIC GEOMETRY
Synopsis
 Physics 205, TuTh 11:45 AM01:00 PM
 Office Hours:
 Monday 1112 and Friday 1112
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, CalabiYau
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. 132136, American Institute of Mathematical Sciences [doi]
 Schoen, C, Torsion in the cohomology of desingularized fiber products of elliptic surfaces,
Michigan Mathematical Journal, vol. 62 no. 1
(2013),
pp. 81115, ISSN 00262285 [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. 745752, ISSN 00029939 [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 CalabiYau Threefolds, Fields Institute Communications 67, edited by Laza, R. ; Schuett, M; and Yui, N.,
Arithmetic and geometry of K3 surfaces and CalabiYau threefolds, vol. 67
(2013),
pp. 461487, SPRINGER, ISBN 9781461464020
 Schoen, C, Desingularized fiber products of semistable elliptic surfaces with vanishing third Betti number,
Compositio Mathematica, vol. 145 no. 1
(2009),
pp. 89111, ISSN 0010437X [doi] [abs]
