Gregory Arone

Affiliations: 
University of Virginia, Charlottesville, VA 
Area:
Mathematics
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"Gregory Arone"

Children

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Eric L. Finster grad student 2010 UVA
Nicholas A. Hamblet grad student 2010 UVA
Daniel M. Pryor grad student 2012 UVA
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Publications

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Arone G, Lesh K. (2020) Fixed points of coisotropic subgroups of $\Gamma_{k}$ on decomposition spaces Homology, Homotopy and Applications. 22: 77-96
Arone G, Turchin V. (2015) Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots Annales De L'Institut Fourier. 65: 1-62
Arone G, Ching M. (2015) A classification of Taylor towers of functors of spaces and spectra Advances in Mathematics. 272: 471-552
Arone G, Turchin V. (2014) On the rational homology of high-dimensional analogues of spaces of long knots Geometry and Topology. 18: 1261-1322
Arone G, Kankaanrinta M. (2014) The sphere operad Bulletin of the London Mathematical Society. 46: 126-132
Arone GZ, Lesh K. (2010) Augmented Γ-spaces, the stable rank filtration, and a bu analogue of the Whitehead conjecture Fundamenta Mathematicae. 207: 29-70
Arone G, Kankaanrinta M. (2010) On the functoriality of the blow-up construction Bulletin of the Belgian Mathematical Society - Simon Stevin. 17: 821-832
Arone G. (2009) Derivatives of embedding functors I: the stable case Journal of Topology. 2: 461-516
Arone GZ, Dwyer WG, Lesh K. (2008) Loop structures in Taylor towers Algebraic and Geometric Topology. 8: 173-210
Arone G, Lambrechts P, Turchin V, et al. (2008) Coformality and rational homotopy groups of spaces of long knots Mathematical Research Letters. 15: 1-14
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