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Dennis Deturck

Affiliations: 
Mathematics University of Pennsylvania, Philadelphia, PA, United States 
Area:
Partial Differential Equations and Differential Geometry
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"Dennis Deturck"
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Children

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Robert J. Parsley grad student 2004 Penn
Shirley L. Yap grad student 2005 Penn
Clayton Shonkwiler grad student 2009 Penn

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Publications

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DeTurck D, Gluck H. (2013) Linking, twisting, writing, and helicity on the 2-sphere and in hyperbolic 3-space Journal of Differential Geometry. 94: 87-128
DeTurck D, Gluck H, Komendarczyk R, et al. (2013) Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows, part II Algebraic and Geometric Topology. 13: 2897-2923
DeTurck D, Gluck H, Storm P. (2013) Lipschitz minimality of Hopf fibrations and Hopf vector fields Algebraic & Geometric Topology. 13: 1369-1412
DeTurck D, Gluck H, Komendarczyk R, et al. (2013) Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows Journal of Mathematical Physics. 54
Cantarella J, Deturck D, Gluck H, et al. (2013) Influence of Geometry and Topology on Helicity Geophysical Monograph. 111: 17-24
DeTurck D, Gluck H. (2008) Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space Journal of Mathematical Physics. 49: 23504
Cappell S, DeTurck D, Gluck H, et al. (2006) Cohomology of harmonic forms on Riemannian manifolds with boundary Forum Mathematicum. 18: 923-931
Cantarella J, DeTurck D, Gluck H. (2002) Vector calculus and the topology of domains in 3-space American Mathematical Monthly. 109: 409-442
Cantarella J, DeTurck D, Gluck H. (2001) The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics Journal of Mathematical Physics. 42: 876-905
Cantarella J, DeTurck D, Gluck H, et al. (2000) The spectrum of the curl operator on spherically symmetric domains Physics of Plasmas. 7: 2766-2775
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