Edit Profile (opens in new tab) Arone, Gregory Z. Co-Author Distance Author ID: arone.gregory-z Published as: Arone, Gregory; Arone, Greg; Arone, Gregory Z.; Arone, G. Z. more...less Documents Indexed: 38 Publications since 1998, including 1 Book and 5 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 7 Reviews Co-Authors: 26 Co-Authors with 33 Joint Publications 359 Co-Co-Authors all top 5 Co-Authors 7 single-authored 7 Lesh, Kathryn 5 Ching, Michael 4 Dwyer, William G. 4 Kankaanrinta, Marja 3 Lambrechts, Pascal 3 Turchin, Victor Éduardovich 3 Volić, Ismar 2 Barnea, Ilan 2 Šarčević, Franjo 2 Schlank, Tomer M. 1 Barthel, Tobias 1 Bergholtz, Emil J. 1 Brantner, D. Lukas B. 1 Budich, Jan Carl 1 Heard, Drew 1 Hubbuck, John R. 1 Johnson, Brenda Lynn 1 Krushkal, Vyacheslav S. 1 Kuhn, Nicholas J. 1 Levi, Ran 1 Mahowald, Mark Edward 1 Munson, Brian A. 1 Rødland, Lukas 1 Sanders, Beren 1 Stålhammar, Marcus 1 Szymik, Markus 1 Weiss, Michael S. all top 5 Serials 2 Proceedings of the American Mathematical Society 2 Mathematical Research Letters 2 Geometry & Topology 2 Algebraic & Geometric Topology 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Documenta Mathematica 1 The Asian Journal of Mathematics 1 Homology, Homotopy and Applications 1 Astérisque 1 Contemporary Mathematics 1 Progress in Mathematics 1 Journal of Noncommutative Geometry 1 Journal of Topology all top 5 Fields 33 Algebraic topology (55-XX) 12 Category theory; homological algebra (18-XX) 12 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 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 292 times in 159 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 42 1999 Operads and chain rules for the calculus of functors. Zbl 1239.55004 Arone, Greg; Ching, Michael 23 2011 Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008 Arone, G. Z.; Dwyer, W. G. 21 2001 A generalization of Snaith-type filtration. Zbl 0945.55011 Arone, Greg 19 1999 On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034 Arone, Gregory; Turchin, Victor 19 2014 Calculus of functors, operad formality, and rational homology of embedding spaces. Zbl 1154.57026 Arone, Gregory; Lambrechts, Pascal; Volić, Ismar 15 2007 The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009 Arone, Greg 14 2002 A functorial model for iterated Snaith splitting with applications to calculus of functors. Zbl 0908.55007 Arone, Greg; Kankaanrinta, Marja 13 1998 The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\). Zbl 0921.55012 Arone, Greg; Kankaanrinta, Marja 12 1998 On the functoriality of the blow-up construction. Zbl 1252.57011 Arone, Gregory; Kankaanrinta, Marja 12 2010 Loop structures in Taylor towers. Zbl 1139.55008 Arone, Gregory Z.; Dwyer, William G.; Lesh, Kathryn 10 2008 Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. (Les complexes de graphes qui calculent l’homotopie rationnelle des analogues en dimension supérieure des espaces de longs nœuds.) Zbl 1329.57035 Arone, Gregory; Turchin, Victor 10 2015 A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017 Arone, Gregory; Ching, Michael 9 2015 Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033 Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar 8 2008 Cross-effects and the classification of Taylor towers. Zbl 1350.55018 Arone, Gregory; Ching, Michael 8 2016 Filtered spectra arising from permutative categories. Zbl 1138.55007 Arone, Gregory; Lesh, Kathryn 7 2007 Augmented \(\Gamma\)-spaces, the stable rank filtration, and a \(bu\) analogue of the Whitehead conjecture. Zbl 1194.55013 Arone, Gregory Z.; Lesh, Kathryn 7 2010 Iterates of the suspension map and Mitchell’s finite spectra with \(A_k\)-free cohomology. Zbl 0930.55004 Arone, Greg 7 1998 Bredon homology of partition complexes. Zbl 1360.55005 Arone, G. Z.; Dwyer, W. G.; Lesh, K. 6 2016 The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007 Arone, Greg 5 2001 A note on the homology of \(\Sigma_n\), the Schwartz genus, and solving polynomial equation. Zbl 1098.55013 Arone, Gregory 5 2006 The sphere operad. Zbl 1284.18018 Arone, Gregory; Kankaanrinta, Marja 4 2014 Derivatives of embedding functors. I: The stable case. Zbl 1247.57020 Arone, Gregory 3 2009 Fixed points of coisotropic subgroups of \(\Gamma_k\) on decomposition spaces. Zbl 1476.55021 Arone, Gregory; Lesh, Kathryn 3 2020 Mapping spaces and homology isomorphisms. (with an appendix by Greg Arone and Nicholas J. Kuhn). Zbl 1088.55007 Kuhn, Nicholas J. 2 2006 Manifolds, K-theory and the calculus of functors. Zbl 1369.55009 Arone, Gregory; Ching, Michael 2 2017 Manifolds and \(K\)-theory. Conference on manifolds, \(K\)-theory, and related topics, Dubrovnik, Croatia, June 23–27, 2014. Proceedings. Zbl 1359.52001 2 2017 Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 1521.46038 Arone, Gregory; Barnea, Ilan; Schlank, Tomer M. 2 2022 Goodwillie calculus. Zbl 1476.55031 Arone, Gregory; Ching, Michael 1 2020 Spaces of knotted circles and exotic smooth structures. Zbl 1483.57019 Arone, Gregory; Szymik, Markus 1 2022 \(p\)-toral approximations compute Bredon homology. Zbl 1489.55003 Arone, Gregory; Dwyer, W. G.; Lesh, Kathryn 1 2021 Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra. Zbl 1522.81150 Arone, Gregory; Barnea, Ilan; Schlank, Tomer M. 1 2023 Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra. Zbl 1522.81150 Arone, Gregory; Barnea, Ilan; Schlank, Tomer M. 1 2023 Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 1521.46038 Arone, Gregory; Barnea, Ilan; Schlank, Tomer M. 2 2022 Spaces of knotted circles and exotic smooth structures. Zbl 1483.57019 Arone, Gregory; Szymik, Markus 1 2022 \(p\)-toral approximations compute Bredon homology. Zbl 1489.55003 Arone, Gregory; Dwyer, W. G.; Lesh, Kathryn 1 2021 Fixed points of coisotropic subgroups of \(\Gamma_k\) on decomposition spaces. Zbl 1476.55021 Arone, Gregory; Lesh, Kathryn 3 2020 Goodwillie calculus. Zbl 1476.55031 Arone, Gregory; Ching, Michael 1 2020 Manifolds, K-theory and the calculus of functors. Zbl 1369.55009 Arone, Gregory; Ching, Michael 2 2017 Manifolds and \(K\)-theory. Conference on manifolds, \(K\)-theory, and related topics, Dubrovnik, Croatia, June 23–27, 2014. Proceedings. Zbl 1359.52001 2 2017 Cross-effects and the classification of Taylor towers. Zbl 1350.55018 Arone, Gregory; Ching, Michael 8 2016 Bredon homology of partition complexes. Zbl 1360.55005 Arone, G. Z.; Dwyer, W. G.; Lesh, K. 6 2016 Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots. (Les complexes de graphes qui calculent l’homotopie rationnelle des analogues en dimension supérieure des espaces de longs nœuds.) Zbl 1329.57035 Arone, Gregory; Turchin, Victor 10 2015 A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017 Arone, Gregory; Ching, Michael 9 2015 On the rational homology of high-dimensional analogues of spaces of long knots. Zbl 1312.57034 Arone, Gregory; Turchin, Victor 19 2014 The sphere operad. Zbl 1284.18018 Arone, Gregory; Kankaanrinta, Marja 4 2014 Operads and chain rules for the calculus of functors. Zbl 1239.55004 Arone, Greg; Ching, Michael 23 2011 On the functoriality of the blow-up construction. Zbl 1252.57011 Arone, Gregory; Kankaanrinta, Marja 12 2010 Augmented \(\Gamma\)-spaces, the stable rank filtration, and a \(bu\) analogue of the Whitehead conjecture. Zbl 1194.55013 Arone, Gregory Z.; Lesh, Kathryn 7 2010 Derivatives of embedding functors. I: The stable case. Zbl 1247.57020 Arone, Gregory 3 2009 Loop structures in Taylor towers. Zbl 1139.55008 Arone, Gregory Z.; Dwyer, William G.; Lesh, Kathryn 10 2008 Coformality and rational homotopy groups of spaces of long knots. Zbl 1148.57033 Arone, Greg; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar 8 2008 Calculus of functors, operad formality, and rational homology of embedding spaces. Zbl 1154.57026 Arone, Gregory; Lambrechts, Pascal; Volić, Ismar 15 2007 Filtered spectra arising from permutative categories. Zbl 1138.55007 Arone, Gregory; Lesh, Kathryn 7 2007 A note on the homology of \(\Sigma_n\), the Schwartz genus, and solving polynomial equation. Zbl 1098.55013 Arone, Gregory 5 2006 Mapping spaces and homology isomorphisms. (with an appendix by Greg Arone and Nicholas J. Kuhn). Zbl 1088.55007 Kuhn, Nicholas J. 2 2006 The Weiss derivatives of BO(-) and BU(-). Zbl 1006.55009 Arone, Greg 14 2002 Partition complexes, Tits buildings and symmetric products. Zbl 1028.55008 Arone, G. Z.; Dwyer, W. G. 21 2001 The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits. Zbl 0978.55007 Arone, Greg 5 2001 The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres. Zbl 0997.55016 Arone, Greg; Mahowald, Mark 42 1999 A generalization of Snaith-type filtration. Zbl 0945.55011 Arone, Greg 19 1999 A functorial model for iterated Snaith splitting with applications to calculus of functors. Zbl 0908.55007 Arone, Greg; Kankaanrinta, Marja 13 1998 The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\). Zbl 0921.55012 Arone, Greg; Kankaanrinta, Marja 12 1998 Iterates of the suspension map and Mitchell’s finite spectra with \(A_k\)-free cohomology. Zbl 0930.55004 Arone, Greg 7 1998 all cited Publications top 5 cited Publications all top 5 Cited by 159 Authors 15 Arone, Gregory Z. 9 Turchin, Victor Éduardovich 8 Ching, Michael 7 Kuhn, Nicholas J. 6 Volić, Ismar 5 Ducoulombier, Julien 5 Harper, John E. 5 Hausmann, Markus 5 Willwacher, Thomas Hans 5 Živković, Marko 4 Barnes, David 4 Behrens, Mark Joseph 4 Dwyer, William G. 4 Johnson, Brenda Lynn 4 Lambrechts, Pascal 4 Lesh, Kathryn 4 Weiss, Michael S. 3 Boavida de Brito, Pedro 3 Eldred, Rosona 3 Fresse, Benoit 3 Hai, Nguyen Dang Ho 3 Hess, Kathryn P. 3 Idrissi, Najib 3 Juhász, András 3 Klein, John Robert 3 Taggart, Niall 2 Barnea, Ilan 2 Barthel, Tobias 2 Bergner, Julie 2 Biedermann, Georg 2 Chorny, Boris 2 Dotto, Emanuele 2 Flores, Ramón J. 2 Heuts, Gijs 2 Horel, Geoffroy 2 Kankaanrinta, Marja 2 Khoroshkin, Anton 2 Knudsen, Ben 2 Malkiewich, Cary 2 McCarthy, Randy 2 Oman, Peter J. 2 Rezk, Charles 2 Riehl, Emily 2 Röndigs, Oliver 2 Salvatore, Paolo 2 Šarčević, Franjo 2 Schlank, Tomer M. 2 Stojanoska, Vesna 2 Szymik, Markus 2 Teleman, Andrei-Dumitru 1 Ahearn, Stephen T. 1 Antolín-Camarena, Omar 1 Ayala, David 1 Bandklayder, Lauren 1 Bauer, Kristine 1 Baues, Hans-Joachim 1 Betley, Stanislaw 1 Blomquist, Jacobson R. 1 Blumberg, Andrew J. 1 Boyde, Guy 1 Brantner, D. Lukas B. 1 Brun, Simon 1 Büscher, Sebastian 1 Campos, Ricardo 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 Francis, John 1 Ganatra, Sheel 1 Geisser, Thomas H. 1 Goodwillie, Thomas Gehret 1 Greenlees, John P. C. 1 Griffiths, Rhiannon 1 Hahn, Jeremy 1 Hebestreit, Fabian 1 Helmstutler, Randall D. 1 Hemmer, David J. 1 Hesselholt, Lars 1 Hill, Michael A. 1 Hinich, Vladimir 1 Hirsh, Joseph 1 Ho, Hai Nguyen Dang 1 Hopkins, Michael Jerome 1 Hu, Po 1 Hu, Yang 1 Huber-Klawitter, Annette 1 Hunter, David J. 1 Hurtado-Salazar, Sebastian 1 Intermont, Michele 1 Joachimi, Ruth 1 Kallel, Sadok 1 Karoui, Rym 1 Kerz, Moritz C. 1 Kjaer, Jens Jakob 1 Kosanović, Danica 1 Kříž, Igor 1 Lawson, Tyler Douglas ...and 59 more Authors all top 5 Cited in 59 Serials 20 Algebraic & Geometric Topology 13 Transactions of the American Mathematical Society 12 Advances in Mathematics 10 Journal of Pure and Applied Algebra 10 Geometry & Topology 7 Journal of Homotopy and Related Structures 5 Journal of Topology 4 Compositio Mathematica 4 Memoirs of the American Mathematical Society 4 Proceedings of the American Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Zeitschrift 3 Journal of the European Mathematical Society (JEMS) 2 Letters in Mathematical Physics 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Fundamenta Mathematicae 2 Inventiones Mathematicae 2 Journal of Algebra 2 Proceedings of the London Mathematical Society. Third Series 2 Topology and its Applications 2 Forum Mathematicum 2 The New York Journal of Mathematics 2 Selecta Mathematica. New Series 2 Higher Structures 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the Japan Academy. Series A 1 Bulletin of the Korean Mathematical Society 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Journal of Knot Theory and its Ramifications 1 Applied Categorical Structures 1 Theory and Applications of Categories 1 Vietnam Journal of Mathematics 1 Algebras and Representation Theory 1 Annals of Mathematics. Second Series 1 Advanced Nonlinear Studies 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Journal of Noncommutative Geometry 1 Involve 1 Tbilisi Mathematical Journal 1 Graduate Journal of Mathematics all top 5 Cited in 21 Fields 125 Algebraic topology (55-XX) 55 Category theory; homological algebra (18-XX) 43 Manifolds and cell complexes (57-XX) 9 Differential geometry (53-XX) 8 Nonassociative rings and algebras (17-XX) 8 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 7 \(K\)-theory (19-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Algebraic geometry (14-XX) 5 Quantum theory (81-XX) 3 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Citations by Year