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Chad L. Schoen

Professor of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
191 Physics Bldg, 120 Science Drive Box 90320, Durham, NC 27708
Office hours Monday 3:30-4:30 and Friday 4:00-5:00
or by appointment  

Overview


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.

Current Appointments & Affiliations


Professor of Mathematics · 1998 - Present Mathematics, Trinity College of Arts & Sciences

Recent Publications


HODGE NUMBERS OF DESINGULARIZED FIBER PRODUCTS OF ELLIPTIC SURFACES

Journal Article Proceedings of the American Mathematical Society · August 1, 2024 Each element of (Z≥0)2 is realized as the Hodge vector (h3,0(Z), h2,1(Z)) of some compact, connected, three dimensional, complex, submanifold, Z ⊂ PNC . Each (x, y) ∈ (Z≥1)2< ... Full text Cite

A Non-Hyperelliptic Curve with Torsion Ceresa Cycle Modulo Algebraic Equivalence

Journal Article International Mathematics Research Notices · March 1, 2023 We exhibit a non-hyperelliptic curve C of genus 3 such that the class of the Ceresa cycle [C]-[C-] in JC modulo algebraic equivalence is torsion. ... Full text Cite

On certain complex projective manifolds with Hodge numbers H10 = 4 and h20 = 5

Journal Article Michigan Mathematical Journal · January 1, 2019 Full text Cite
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Recent Grants


Chow Groups of Projective Varieties

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2002 - 2006

Chow Groups of Smooth Projective Varieties

ResearchPrincipal Investigator · Awarded by National Science Foundation · 1999 - 2003

Mathematical Sciences: Chow Groups of Smooth Projective Varieties

ResearchPrincipal Investigator · Awarded by National Science Foundation · 1993 - 1996

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Education, Training & Certifications


The University of Chicago · 1982 Ph.D.
Haverford College · 1975 B.A.