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## Arone, Gregory Z.

Compute Distance To:
 Author ID: arone.gregory-z Published as: Arone, G. Z.; Arone, Greg; Arone, Gregory; Arone, Gregory Z.
 Documents Indexed: 28 Publications since 1998, including 3 Books Reviewing Activity: 7 Reviews
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#### Co-Authors

 6 single-authored 5 Ching, Michael 5 Lesh, Kathryn 4 Kankaanrinta, Marja 3 Dwyer, William G. 3 Lambrechts, Pascal 3 Turchin, Victor Éduardovich 3 Volić, Ismar 1 Hubbuck, John R. 1 Johnson, Brenda Lynn 1 Levi, Ran 1 Mahowald, Mark Edward 1 Munson, Brian A. 1 Weiss, Michael S.
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#### Serials

 2 Mathematical Research Letters 2 Geometry & Topology 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Documenta Mathematica 1 Homology, Homotopy and Applications 1 Algebraic & Geometric Topology 1 Astérisque 1 Contemporary Mathematics 1 Progress in Mathematics 1 Journal of Topology
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#### Fields

 24 Algebraic topology (55-XX) 8 Category theory; homological algebra (18-XX) 7 Manifolds and cell complexes (57-XX) 3 $$K$$-theory (19-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH

24 Publications have been cited 212 times in 117 Documents Cited by Year
The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres. Zbl 0997.55016
Arone, Greg; Mahowald, Mark
1999
A generalization of Snaith-type filtration. Zbl 0945.55011
Arone, Greg
1999
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
2011
Calculus of functors, operad formality, and rational homology of embedding spaces. Zbl 1154.57026
Arone, Gregory; Lambrechts, Pascal; Volić, Ismar
2007
Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008
Arone, G. Z.; Dwyer, W. G.
2001
On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034
Arone, Gregory; Turchin, Victor
2014
A functorial model for iterated Snaith splitting with applications to calculus of functors. Zbl 0908.55007
Arone, Greg; Kankaanrinta, Marja
1998
The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009
Arone, Greg
2002
The homology of certain subgroups of the symmetric group with coefficients in $$\text{Lie}(n)$$. Zbl 0921.55012
Arone, Greg; Kankaanrinta, Marja
1998
On the functoriality of the blow-up construction. Zbl 1252.57011
Arone, Gregory; Kankaanrinta, Marja
2010
Loop structures in Taylor towers. Zbl 1139.55008
Arone, Gregory Z.; Dwyer, William G.; Lesh, Kathryn
2008
Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033
Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar
2008
Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. Zbl 1329.57035
Arone, Gregory; Turchin, Victor
2015
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
2015
Augmented $$\Gamma$$-spaces, the stable rank filtration, and a $$bu$$ analogue of the Whitehead conjecture. Zbl 1194.55013
Arone, Gregory Z.; Lesh, Kathryn
2010
Filtered spectra arising from permutative categories. Zbl 1138.55007
Arone, Gregory; Lesh, Kathryn
2007
A note on the homology of $$\Sigma_n$$, the Schwartz genus, and solving polynomial equation. Zbl 1098.55013
Arone, Gregory
2006
Iterates of the suspension map and Mitchell’s finite spectra with $$A_k$$-free cohomology. Zbl 0930.55004
Arone, Greg
1998
Bredon homology of partition complexes. Zbl 1360.55005
Arone, G. Z.; Dwyer, W. G.; Lesh, K.
2016
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
2016
Derivatives of embedding functors. I: The stable case. Zbl 1247.57020
Arone, Gregory
2009
The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007
Arone, Greg
2001
Arone, Gregory; Kankaanrinta, Marja
2014
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
2017
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
2017
Bredon homology of partition complexes. Zbl 1360.55005
Arone, G. Z.; Dwyer, W. G.; Lesh, K.
2016
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
2016
Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. Zbl 1329.57035
Arone, Gregory; Turchin, Victor
2015
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
2015
On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034
Arone, Gregory; Turchin, Victor
2014
Arone, Gregory; Kankaanrinta, Marja
2014
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
2011
On the functoriality of the blow-up construction. Zbl 1252.57011
Arone, Gregory; Kankaanrinta, Marja
2010
Augmented $$\Gamma$$-spaces, the stable rank filtration, and a $$bu$$ analogue of the Whitehead conjecture. Zbl 1194.55013
Arone, Gregory Z.; Lesh, Kathryn
2010
Derivatives of embedding functors. I: The stable case. Zbl 1247.57020
Arone, Gregory
2009
Loop structures in Taylor towers. Zbl 1139.55008
Arone, Gregory Z.; Dwyer, William G.; Lesh, Kathryn
2008
Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033
Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar
2008
Calculus of functors, operad formality, and rational homology of embedding spaces. Zbl 1154.57026
Arone, Gregory; Lambrechts, Pascal; Volić, Ismar
2007
Filtered spectra arising from permutative categories. Zbl 1138.55007
Arone, Gregory; Lesh, Kathryn
2007
A note on the homology of $$\Sigma_n$$, the Schwartz genus, and solving polynomial equation. Zbl 1098.55013
Arone, Gregory
2006
The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009
Arone, Greg
2002
Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008
Arone, G. Z.; Dwyer, W. G.
2001
The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007
Arone, Greg
2001
The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres. Zbl 0997.55016
Arone, Greg; Mahowald, Mark
1999
A generalization of Snaith-type filtration. Zbl 0945.55011
Arone, Greg
1999
A functorial model for iterated Snaith splitting with applications to calculus of functors. Zbl 0908.55007
Arone, Greg; Kankaanrinta, Marja
1998
The homology of certain subgroups of the symmetric group with coefficients in $$\text{Lie}(n)$$. Zbl 0921.55012
Arone, Greg; Kankaanrinta, Marja
1998
Iterates of the suspension map and Mitchell’s finite spectra with $$A_k$$-free cohomology. Zbl 0930.55004
Arone, Greg
1998
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#### Cited by 126 Authors

 9 Arone, Gregory Z. 7 Kuhn, Nicholas J. 7 Turchin, Victor Éduardovich 6 Ching, Michael 6 Volić, Ismar 5 Hausmann, Markus 4 Barnes, David 4 Behrens, Mark Joseph 4 Dwyer, William G. 4 Harper, John E. 4 Lambrechts, Pascal 4 Willwacher, Thomas Hans 4 Živković, Marko 3 Eldred, Rosona 3 Johnson, Brenda Lynn 3 Klein, John Robert 3 Lesh, Kathryn 3 Weiss, Michael S. 2 Barthel, Tobias 2 Biedermann, Georg 2 Chorny, Boris 2 Dotto, Emanuele 2 Ducoulombier, Julien 2 Fresse, Benoit 2 Hess, Kathryn P. 2 Juhász, András 2 Kankaanrinta, Marja 2 Khoroshkin, Anton 2 Malkiewich, Cary 2 McCarthy, Randy 2 Oman, Peter J. 2 Rezk, Charles 2 Riehl, Emily 2 Röndigs, Oliver 2 Šarčević, Franjo 2 Stojanoska, Vesna 2 Teleman, Andrei-Dumitru 1 Ahearn, Stephen T. 1 Antolín-Camarena, Omar 1 Ayala, David 1 Bauer, Kristine 1 Baues, Hans-Joachim 1 Bergner, Julie 1 Betley, Stanislaw 1 Blumberg, Andrew J. 1 Boavida de Brito, Pedro 1 Büscher, Sebastian 1 Cantero Morán, Federico 1 Cho’n, Phan Hoàng 1 Cohen, Frederick Ronald 1 Dolgushev, Vasily A. 1 Drummond-Cole, Gabriel C. 1 Felder, Matteo 1 Flores, Ramón J. 1 Francis, John 1 Ganatra, Sheel 1 Goodwillie, Thomas Gehret 1 Greenlees, John P. C. 1 Hahn, Jeremy 1 Hai, Nguyen Dang Ho 1 Hebestreit, Fabian 1 Helmstutler, Randall D. 1 Hemmer, David J. 1 Heuts, Gijs 1 Hill, Michael A. 1 Hirsh, Joseph 1 Ho, Hai Nguyen Dang 1 Hopkins, Michael Jerome 1 Hu, Po 1 Hunter, David J. 1 Hurtado, Sebastian 1 Intermont, Michele 1 Joachimi, Ruth 1 Kallel, Sadok 1 Karoui, Rym 1 Kjaer, Jens Jakob 1 Knudsen, Ben 1 Kříž, Igor 1 Lawson, Tyler Douglas 1 Lê Minh Hà 1 Lejay, Damien 1 Lim, Kay Jin 1 Macko, Tibor 1 Marengon, Marco 1 Markarian, Nikita 1 Mathew, Akhil 1 McCarty, Jason B. 1 Munson, Brian A. 1 Nakano, Daniel K. 1 Naumann, Niko 1 Nikolaus, Thomas 1 Noel, Justin 1 Osborne, Christina 1 Ostermayr, Dominik 1 Peter, John W. 1 Petersen, Dan 1 Podkorytov, Semën S. 1 Pomerleano, Daniel 1 Randal-Williams, Oscar 1 Reis, Rui M. G. ...and 26 more Authors
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#### Cited in 39 Serials

 17 Algebraic & Geometric Topology 12 Advances in Mathematics 10 Transactions of the American Mathematical Society 9 Journal of Pure and Applied Algebra 9 Geometry & Topology 5 Journal of Homotopy and Related Structures 4 Proceedings of the American Mathematical Society 4 Journal of Topology 3 Mathematische Zeitschrift 3 Journal of the European Mathematical Society (JEMS) 2 Letters in Mathematical Physics 2 Annales de l’Institut Fourier 2 Compositio Mathematica 2 Fundamenta Mathematicae 2 Inventiones Mathematicae 2 Journal of Algebra 2 Memoirs of the American Mathematical Society 2 Forum Mathematicum 2 Selecta Mathematica. New Series 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Algebras and Representation Theory 1 Annals of Mathematics. Second Series 1 Advanced Nonlinear Studies 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Involve 1 Tbilisi Mathematical Journal
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#### Cited in 13 Fields

 96 Algebraic topology (55-XX) 37 Category theory; homological algebra (18-XX) 32 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Nonassociative rings and algebras (17-XX) 6 $$K$$-theory (19-XX) 6 Group theory and generalizations (20-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Algebraic geometry (14-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 1 Convex and discrete geometry (52-XX)