# zbMATH — the first resource for mathematics

## Riehl, Emily

Compute Distance To:
 Author ID: riehl.emily Published as: Riehl, Emily Homepage: http://www.math.jhu.edu/~eriehl/ External Links: MGP · Wikidata · GND Member of Collective: the-univalent-foundations-program.
 Documents Indexed: 33 Publications since 2003, including 4 Books Reviewing Activity: 5 Reviews Biographic References: 1 Publication
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#### Co-Authors

 7 single-authored 10 Verity, Dominic 3 Kȩdziorek, Magdalena 2 Barthel, Tobias 2 Hess, Kathryn P. 2 Shipley, Brooke E. 1 Bauer, Kristine 1 Bayeh, Marzieh 1 Blumberg, Andrew J. 1 Bohmann, Anna Marie 1 Cheng, Eugenia 1 Ching, Michael 1 D’Angelo, John P. 1 Evans, E. Graham jun. 1 Garner, Richard 1 Gross, Benedict Hyman 1 Gurski, Nick 1 Harris, Joseph Daniel 1 Johnson, Brenda Lynn 1 Karpova, Varvara 1 Kennett, Carolyn 1 Kitchloo, Nitya 1 Kos, Šimon 1 May, Jon Peter 1 Merling, Mona 1 Morava, Jack Johnson 1 Osborne, Christina 1 Roy, Michael 1 Shulman, Michael A. 1 Tebbe, Amelia 1 Wilson, W. Stephen 1 Zaks, Michael
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#### Serials

 4 Journal of Pure and Applied Algebra 3 Algebraic & Geometric Topology 3 Higher Structures 2 Advances in Mathematics 2 The New York Journal of Mathematics 2 Theory and Applications of Categories 2 Homology, Homotopy and Applications 2 Journal of Topology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 The Journal of Geometric Analysis 1 Notices of the American Mathematical Society 1 Applied Categorical Structures 1 Contemporary Mathematics 1 New Mathematical Monographs 1 Journal of $$K$$-Theory
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#### Fields

 29 Category theory; homological algebra (18-XX) 25 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

27 Publications have been cited 222 times in 148 Documents Cited by Year
Categorical homotopy theory. Zbl 1317.18001
Riehl, Emily
2014
Homotopy coherent adjunctions and the formal theory of monads. Zbl 1329.18020
Riehl, Emily; Verity, Dominic
2016
The theory and practice of Reedy categories. Zbl 1302.55014
Riehl, Emily; Verity, Dominic
2014
The 2-category theory of quasi-categories. Zbl 1319.18005
Riehl, Emily; Verity, Dominic
2015
A sharp bound for the degree of proper monomial mappings between balls. Zbl 1052.26016
D’Angelo, John P.; Kos, Šimon; Riehl, Emily
2003
Algebraic model structures. Zbl 1222.55016
Riehl, Emily
2011
Fibrations and Yoneda’s lemma in an $$\infty$$-cosmos. Zbl 1378.18007
Riehl, Emily; Verity, Dominic
2017
A necessary and sufficient condition for induced model structures. Zbl 1381.55010
Hess, Kathryn; Kȩdziorek, Magdalena; Riehl, Emily; Shipley, Brooke
2017
Left-induced model structures and diagram categories. Zbl 1346.18023
Bayeh, Marzieh; Hess, Kathryn; Karpova, Varvara; Kȩdziorek, Magdalena; Riehl, Emily; Shipley, Brooke
2015
Completeness results for quasi-categories of algebras, homotopy limits, and related general constructions. Zbl 1319.18006
Riehl, Emily; Verity, Dominic
2015
Cyclic multicategories, multivariable adjunctions and mates. Zbl 1326.18005
Cheng, Eugenia; Gurski, Nick; Riehl, Emily
2014
Six model structures for DG-modules over DGAs: model category theory in homological action. Zbl 1342.16006
Barthel, Tobias; May, J. P.; Riehl, Emily
2014
Kan extensions and the calculus of modules for $$\infty$$-categories. Zbl 1362.18020
Riehl, Emily; Verity, Dominic
2017
Category theory in context. Zbl 1348.18001
Riehl, Emily
2016
Coalgebraic models for combinatorial model categories. Zbl 1311.18006
Ching, Michael; Riehl, Emily
2014
Homotopical resolutions associated to deformable adjunctions. Zbl 1317.55009
Blumberg, Andrew J.; Riehl, Emily
2014
Monoidal algebraic model structures. Zbl 1275.55014
Riehl, Emily
2013
The comprehension construction. Zbl 1409.18021
Riehl, Emily; Verity, Dominic
2018
On the construction of functorial factorizations for model categories. Zbl 1268.18001
Barthel, Tobias; Riehl, Emily
2013
Directional derivatives and higher order chain rules for abelian functor calculus. Zbl 1435.18005
Bauer, Kristine; Johnson, Brenda; Osborne, Christina; Riehl, Emily; Tebbe, Amelia
2018
A comparison of norm maps. Zbl 1318.55013
Bohmann, Anna Marie; Riehl, Emily
2014
On the intersections of polynomials and the Cayley-Bacharach theorem. Zbl 1032.13011
Riehl, Emily; Evans, E. Graham jun.
2003
On the structure of simplicial categories associated to quasi-categories. Zbl 1232.18014
Riehl, Emily
2011
Levels in the toposes of simplicial sets and cubical sets. Zbl 1229.55016
Kennett, Carolyn; Riehl, Emily; Roy, Michael; Zaks, Michael
2011
Lifting accessible model structures. Zbl 1442.18011
Garner, Richard; Kędziorek, Magdalena; Riehl, Emily
2020
Complicial sets, an overture. Zbl 1409.18018
Riehl, Emily
2018
A type theory for synthetic $$\infty$$-categories. Zbl 1437.18016
Riehl, Emily; Shulman, Michael
2017
Lifting accessible model structures. Zbl 1442.18011
Garner, Richard; Kędziorek, Magdalena; Riehl, Emily
2020
The comprehension construction. Zbl 1409.18021
Riehl, Emily; Verity, Dominic
2018
Directional derivatives and higher order chain rules for abelian functor calculus. Zbl 1435.18005
Bauer, Kristine; Johnson, Brenda; Osborne, Christina; Riehl, Emily; Tebbe, Amelia
2018
Complicial sets, an overture. Zbl 1409.18018
Riehl, Emily
2018
Fibrations and Yoneda’s lemma in an $$\infty$$-cosmos. Zbl 1378.18007
Riehl, Emily; Verity, Dominic
2017
A necessary and sufficient condition for induced model structures. Zbl 1381.55010
Hess, Kathryn; Kȩdziorek, Magdalena; Riehl, Emily; Shipley, Brooke
2017
Kan extensions and the calculus of modules for $$\infty$$-categories. Zbl 1362.18020
Riehl, Emily; Verity, Dominic
2017
A type theory for synthetic $$\infty$$-categories. Zbl 1437.18016
Riehl, Emily; Shulman, Michael
2017
Homotopy coherent adjunctions and the formal theory of monads. Zbl 1329.18020
Riehl, Emily; Verity, Dominic
2016
Category theory in context. Zbl 1348.18001
Riehl, Emily
2016
The 2-category theory of quasi-categories. Zbl 1319.18005
Riehl, Emily; Verity, Dominic
2015
Left-induced model structures and diagram categories. Zbl 1346.18023
Bayeh, Marzieh; Hess, Kathryn; Karpova, Varvara; Kȩdziorek, Magdalena; Riehl, Emily; Shipley, Brooke
2015
Completeness results for quasi-categories of algebras, homotopy limits, and related general constructions. Zbl 1319.18006
Riehl, Emily; Verity, Dominic
2015
Categorical homotopy theory. Zbl 1317.18001
Riehl, Emily
2014
The theory and practice of Reedy categories. Zbl 1302.55014
Riehl, Emily; Verity, Dominic
2014
Cyclic multicategories, multivariable adjunctions and mates. Zbl 1326.18005
Cheng, Eugenia; Gurski, Nick; Riehl, Emily
2014
Six model structures for DG-modules over DGAs: model category theory in homological action. Zbl 1342.16006
Barthel, Tobias; May, J. P.; Riehl, Emily
2014
Coalgebraic models for combinatorial model categories. Zbl 1311.18006
Ching, Michael; Riehl, Emily
2014
Homotopical resolutions associated to deformable adjunctions. Zbl 1317.55009
Blumberg, Andrew J.; Riehl, Emily
2014
A comparison of norm maps. Zbl 1318.55013
Bohmann, Anna Marie; Riehl, Emily
2014
Monoidal algebraic model structures. Zbl 1275.55014
Riehl, Emily
2013
On the construction of functorial factorizations for model categories. Zbl 1268.18001
Barthel, Tobias; Riehl, Emily
2013
Algebraic model structures. Zbl 1222.55016
Riehl, Emily
2011
On the structure of simplicial categories associated to quasi-categories. Zbl 1232.18014
Riehl, Emily
2011
Levels in the toposes of simplicial sets and cubical sets. Zbl 1229.55016
Kennett, Carolyn; Riehl, Emily; Roy, Michael; Zaks, Michael
2011
A sharp bound for the degree of proper monomial mappings between balls. Zbl 1052.26016
D’Angelo, John P.; Kos, Šimon; Riehl, Emily
2003
On the intersections of polynomials and the Cayley-Bacharach theorem. Zbl 1032.13011
Riehl, Emily; Evans, E. Graham jun.
2003
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#### Cited by 196 Authors

 10 Riehl, Emily 6 Hess, Kathryn P. 5 Bourke, John 5 Shulman, Michael A. 5 Verity, Dominic 5 Yau, Donald Y. 4 D’Angelo, John P. 4 Hackney, Philip 4 Lebl, Jiří 4 Mathew, Akhil 4 Robertson, Marcy 3 Beardsley, Jonathan 3 Benini, Marco 3 Blumberg, Andrew J. 3 Campbell, Alexander Peter 3 Garner, Richard 3 Knudsen, Ben 3 Lucyshyn-Wright, Rory B. B. 3 Rovelli, Martina 3 Schenkel, Alexander 3 Schweigert, Christoph 3 Wong, Liang Ze 2 Balachandran, Niranjan 2 Barthel, Tobias 2 Ching, Michael 2 Cruttwell, G. S. H. 2 Curien, Pierre-Louis 2 Drummond-Cole, Gabriel C. 2 Fuchs, Jürgen 2 Groth, Moritz 2 Grundmeier, Dusty E. 2 Haugseng, Rune 2 Hill, Michael A. 2 Ji, Shanyu 2 Kapulkin, Krzysztof 2 Kȩdziorek, Magdalena 2 Mandell, Michael A. 2 Mathew, Rogers 2 Mishra, Tapas Kumar 2 Noel, Justin 2 Nuiten, Joost Jakob 2 Obradović, Jovana 2 Ozornova, Viktoriya 2 Pal, Sudebkumar Prasant 2 Rivera, Manuel 2 Shipley, Brooke E. 2 Stojanoska, Vesna 2 Stonek, Bruno 2 Szumiło, Karol 2 Woike, Lukas 2 Yin, Wanke 2 Zeinalian, Mahmoud 1 An, Byung Hee 1 Angelini-Knoll, Gabe 1 Angeltveit, Vigleik 1 Arone, Gregory Z. 1 Balchin, Scott 1 Balzin, Edouard 1 Baralić, Đorđe 1 Barr, Michael 1 Bauer, Kristine 1 Beaudry, Agnès 1 Berglund, Alexander 1 Blute, Richard F. 1 Botnan, Magnus Bakke 1 Braun, Benjamin 1 Brooks, Jennifer 1 Bruinsma, Simen 1 Burke, Matthew J. 1 Cheng, Eugenia 1 Church, Thomas 1 Cirici, Joana 1 Clementino, Maria Manuel 1 Corob Cook, Ged 1 Costoya, Cristina 1 Culbertson, Jared 1 Curry, Justin Michael 1 Dappiaggi, Claudio 1 Dwyer, William G. 1 Egas Santander, Daniela 1 Elchesen, Alexander 1 Eldred, Rosona 1 Ellenberg, Jordan S. 1 Erdal, Mehmet Akif 1 Farb, Benson 1 Fiore, Thomas M. 1 Fiorenza, Domenico 1 Frankland, Martin 1 Fresse, Benoit 1 Fuentes-Keuthan, Daniel 1 Gambino, Nicola 1 Garkusha, Grigory 1 Genovese, Francesco 1 Gerhardt, Teena 1 Ghazel, Moncef 1 Gurski, Nick 1 Gustafson, Paul P. 1 Gwilliam, Owen 1 Hadzihasanovic, Amar 1 Harpaz, Yonatan ...and 96 more Authors
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#### Cited in 45 Serials

 19 Advances in Mathematics 18 Theory and Applications of Categories 14 Journal of Pure and Applied Algebra 13 Applied Categorical Structures 11 Algebraic & Geometric Topology 10 Journal of Homotopy and Related Structures 5 Proceedings of the American Mathematical Society 4 Mathematische Zeitschrift 4 Topology and its Applications 3 Geometry & Topology 3 Higher Structures 2 Michigan Mathematical Journal 2 Transactions of the American Mathematical Society 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 Journal of $$K$$-Theory 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Algebra Universalis 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Annals of Pure and Applied Logic 1 Order 1 MSCS. Mathematical Structures in Computer Science 1 Linear Algebra and its Applications 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Journal of the Institute of Mathematics of Jussieu 1 Logical Methods in Computer Science 1 Forum of Mathematics, Sigma 1 Axioms 1 Research in the Mathematical Sciences 1 Journal of Applied and Computational Topology
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#### Cited in 25 Fields

 95 Category theory; homological algebra (18-XX) 85 Algebraic topology (55-XX) 16 Associative rings and algebras (16-XX) 13 $$K$$-theory (19-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Manifolds and cell complexes (57-XX) 11 Algebraic geometry (14-XX) 9 Commutative algebra (13-XX) 8 Mathematical logic and foundations (03-XX) 8 Quantum theory (81-XX) 7 Combinatorics (05-XX) 5 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Differential geometry (53-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)