Research Interests for Chadmark L. Schoen

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.

Keywords:

Algebraic geometry

Areas of Interest:

Geometry of algebraic varieties
Algebraic Cycles
Chow Groups

Recent Publications

1. 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]
2. 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]
3. 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]
4. 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]
5. 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]