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Math @ Duke





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Chadmark 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:
Office Location:  191 Physics Bldg, 120 Science Drive Box 90320, Durham, NC 27708
Office Phone:  (919) 660-2813
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~schoen

Teaching (Spring 2024):

  • MATH 502.01, ALGEBRAIC STRUCTURES II Synopsis
    Physics 227, TuTh 08:30 AM-09:45 AM
  • MATH 790-90.06, MINICOURSE IN ADVANCED TOPICS Synopsis
    Physics 227, TuTh 10:05 AM-11:20 AM
Office Hours:

Monday 3:30-4:30 and Friday 4:00-5:00
or by appointment
Education:

Ph.D.The University of Chicago1982
B.A.Haverford College1975
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)

  • Humberto Diaz  
Recent Publications   (More Publications)

  1. 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]
  2. Schoen, C, On certain complex projective manifolds with Hodge numbers H10 = 4 and h20 = 5, The Michigan Mathematical Journal, vol. 68 no. 3 (January, 2019), pp. 565-596 [doi]
  3. 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]
  4. Schoen, C, Torsion in the cohomology of desingularized fiber products of elliptic surfaces, The Michigan Mathematical Journal, vol. 62 no. 1 (March, 2013), pp. 81-115, Michigan Mathematical Journal, ISSN 0026-2285 [doi]
  5. Schoen, C, The geometric genus of a desingularized fiber product of elliptic surfaces, Proceedings of the American Mathematical Society, vol. 141 no. 3 (January, 2013), pp. 745-752, American Mathematical Society (AMS), ISSN 0002-9939 [doi]  [abs]

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320