# zbMATH — the first resource for mathematics

## Ching, Michael

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 Author ID: ching.michael Published as: Ching, Michael Homepage: https://mching.people.amherst.edu/ External Links: ORCID
 Documents Indexed: 14 Publications since 2005, including 1 Book Reviewing Activity: 1 Review

#### Co-Authors

 4 single-authored 4 Arone, Gregory Z. 3 Harper, John E. 1 Ching, Michael 1 Doyle, John R. 1 Riehl, Emily
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#### Serials

 3 Advances in Mathematics 2 Geometry & Topology 1 Transactions of the American Mathematical Society 1 Homology, Homotopy and Applications 1 Astérisque 1 Journal of Homotopy and Related Structures 1 Journal of Topology 1 Tbilisi Mathematical Journal 1 Journal of Combinatorics

#### Fields

 13 Algebraic topology (55-XX) 8 Category theory; homological algebra (18-XX) 1 Number theory (11-XX) 1 $$K$$-theory (19-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

11 Publications have been cited 83 times in 48 Documents Cited by Year
Bar constructions for topological operads and the Goodwillie derivatives of the identity. Zbl 1153.55006
Ching, Michael
2005
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
2011
Bar-cobar duality for operads in stable homotopy theory. Zbl 1319.55003
Ching, Michael
2012
Coalgebraic models for combinatorial model categories. Zbl 1311.18006
Ching, Michael; Riehl, Emily
2014
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
2015
Higher homotopy excision and Blakers-Massey theorems for structured ring spectra. Zbl 1346.55009
Ching, Michael; Harper, John E.
2016
A chain rule for Goodwillie derivatives of functors from spectra to spectra. Zbl 1189.55003
Ching, Michael
2010
Derived Koszul duality and $$\mathsf{TQ}$$-homology completion of structured ring spectra. Zbl 1406.55003
Ching, Michael; Harper, John E.
2019
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
2016
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
2017
A note on the composition product of symmetric sequences. Zbl 1266.18015
Ching, Michael
2012
Derived Koszul duality and $$\mathsf{TQ}$$-homology completion of structured ring spectra. Zbl 1406.55003
Ching, Michael; Harper, John E.
2019
Manifolds, K-theory and the calculus of functors. Zbl 1369.55009
Arone, Gregory; Ching, Michael
2017
Higher homotopy excision and Blakers-Massey theorems for structured ring spectra. Zbl 1346.55009
Ching, Michael; Harper, John E.
2016
Cross-effects and the classification of Taylor towers. Zbl 1350.55018
Arone, Gregory; Ching, Michael
2016
A classification of Taylor towers of functors of spaces and spectra. Zbl 1312.55017
Arone, Gregory; Ching, Michael
2015
Coalgebraic models for combinatorial model categories. Zbl 1311.18006
Ching, Michael; Riehl, Emily
2014
Bar-cobar duality for operads in stable homotopy theory. Zbl 1319.55003
Ching, Michael
2012
A note on the composition product of symmetric sequences. Zbl 1266.18015
Ching, Michael
2012
Operads and chain rules for the calculus of functors. Zbl 1239.55004
Arone, Greg; Ching, Michael
2011
A chain rule for Goodwillie derivatives of functors from spectra to spectra. Zbl 1189.55003
Ching, Michael
2010
Bar constructions for topological operads and the Goodwillie derivatives of the identity. Zbl 1153.55006
Ching, Michael
2005
all top 5

#### Cited by 62 Authors

 7 Ching, Michael 5 Harper, John E. 4 Arone, Gregory Z. 4 Behrens, Mark Joseph 3 Hess, Kathryn P. 2 Drummond-Cole, Gabriel C. 2 Francis, John 2 Garner, Richard 2 Hirsh, Joseph 2 Rezk, Charles 2 Riehl, Emily 2 Shipley, Brooke E. 1 Angeltveit, Vigleik 1 Antolín-Camarena, Omar 1 Balchin, Scott 1 Bauer, Kristine 1 Berglund, Alexander 1 Biedermann, Georg 1 Blumberg, Andrew J. 1 Bohmann, Anna Marie 1 Bourke, John 1 Chachólski, Wojciech 1 Chorny, Boris 1 Chu, Hongyi 1 Devadoss, Satyan Linus 1 Dwyer, William G. 1 Gaitsgory, Dennis 1 Gerhardt, Teena 1 Haugseng, Rune 1 Heuts, Gijs 1 Hirschowitz, André 1 Høgenhaven, Amalie 1 Hu, Po 1 Johnson, Brenda Lynn 1 Kjaer, Jens Jakob 1 Klein, John Robert 1 Knudsen, Ben 1 Kříž, Igor 1 Kuhn, Nicholas J. 1 Lambrechts, Pascal 1 Lejay, Damien 1 Maggesi, Marco 1 Malkiewich, Cary 1 Markarian, Nikita 1 Morava, Jack Johnson 1 Osborne, Christina 1 Peter, John W. 1 Petersen, Dan 1 Scherer, Jérôme 1 Somberg, Petr 1 Tebbe, Amelia 1 Torii, Takeshi 1 Turchin, Victor Éduardovich 1 Volić, Ismar 1 Ward, Benjamin C. 1 Werndli, Kay 1 Westerland, Craig 1 White, David 1 Yau, Donald Y. 1 Zhang, Yu 1 Zhu, Yifei 1 Ziegenhagen, Stephanie
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#### Cited in 25 Serials

 7 Advances in Mathematics 4 Geometry & Topology 4 Algebraic & Geometric Topology 4 Journal of Homotopy and Related Structures 2 Compositio Mathematica 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Journal of Topology 2 Tbilisi Mathematical Journal 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Advances in Applied Mathematics 1 Information and Computation 1 Applied Categorical Structures 1 Selecta Mathematica. New Series 1 Annals of Mathematics. Second Series
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#### Cited in 16 Fields

 40 Algebraic topology (55-XX) 28 Category theory; homological algebra (18-XX) 5 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 $$K$$-theory (19-XX) 2 Associative rings and algebras (16-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)