Edit Profile (opens in new tab) Ayala, David Co-Author Distance Author ID: ayala.david Published as: Ayala, David External Links: MGP Documents Indexed: 30 Publications since 2001, including 12 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 12 Co-Authors with 25 Joint Publications 271 Co-Co-Authors all top 5 Co-Authors 2 single-authored 16 Francis, John 8 Rozenblyum, Nick 6 Mazel-Gee, Aaron 3 Pla, Núria 3 Vigo, Marc 2 Tanaka, Hiro Lee 1 Brantner, Lukas 1 Cavalieri, Renzo 1 Freed, Daniel Stuart 1 Grady, Ryan E. 1 Hepworth, Richard A. 1 Howard, Adam 1 Johnson-Freyd, Theo 1 Tanaka, Hiro Lee all top 5 Serials 3 Advances in Mathematics 2 Computing 1 Communications in Mathematical Physics 1 Proceedings of the American Mathematical Society 1 Expositiones Mathematicae 1 Selecta Mathematica. New Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 Contemporary Mathematics 1 Journal of Topology 1 Higher Structures 1 London Mathematical Society. Newsletter all top 5 Fields 12 Algebraic topology (55-XX) 12 Manifolds and cell complexes (57-XX) 9 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Algebraic geometry (14-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 197 times in 130 Documents Cited by ▼ Year ▼ Factorization homology of topological manifolds. Zbl 1350.55009 Ayala, David; Francis, John 66 2015 Factorization homology of stratified spaces. Zbl 1365.57037 Ayala, David; Francis, John; Tanaka, Hiro Lee 33 2017 Local structures on stratified spaces. Zbl 1367.57015 Ayala, David; Francis, John; Tanaka, Hiro Lee 22 2017 Fibrations of \(\infty \)-categories. Zbl 1440.18003 Ayala, David; Francis, John 19 2020 Factorization homology. I: Higher categories. Zbl 1395.58016 Ayala, David; Francis, John; Rozenblyum, Nick 15 2018 Poincaré/Koszul duality. Zbl 1432.57060 Ayala, David; Francis, John 11 2019 A stratified homotopy hypothesis. Zbl 1445.57019 Ayala, David; Francis, John; Rozenblyum, Nick 8 2019 Zero-pointed manifolds. Zbl 1469.57029 Ayala, David; Francis, John 7 2021 Flagged higher categories. Zbl 1423.18002 Ayala, David; Francis, John 6 2018 A factorization homology primer. Zbl 1476.55020 Ayala, David; Francis, John 5 2020 Configuration spaces and \(\Theta_n\). Zbl 1304.18013 Ayala, David; Hepworth, Richard 4 2014 Counting bitangents with stable maps. Zbl 1106.14044 Ayala, David; Cavalieri, Renzo 1 2006 Two triangulation methods based on edge refinement. Zbl 1083.68143 Vigo, M.; Pla, N.; Ayala, D. 1 2004 Zero-pointed manifolds. Zbl 1469.57029 Ayala, David; Francis, John 7 2021 Fibrations of \(\infty \)-categories. Zbl 1440.18003 Ayala, David; Francis, John 19 2020 A factorization homology primer. Zbl 1476.55020 Ayala, David; Francis, John 5 2020 Poincaré/Koszul duality. Zbl 1432.57060 Ayala, David; Francis, John 11 2019 A stratified homotopy hypothesis. Zbl 1445.57019 Ayala, David; Francis, John; Rozenblyum, Nick 8 2019 Factorization homology. I: Higher categories. Zbl 1395.58016 Ayala, David; Francis, John; Rozenblyum, Nick 15 2018 Flagged higher categories. Zbl 1423.18002 Ayala, David; Francis, John 6 2018 Factorization homology of stratified spaces. Zbl 1365.57037 Ayala, David; Francis, John; Tanaka, Hiro Lee 33 2017 Local structures on stratified spaces. Zbl 1367.57015 Ayala, David; Francis, John; Tanaka, Hiro Lee 22 2017 Factorization homology of topological manifolds. Zbl 1350.55009 Ayala, David; Francis, John 66 2015 Configuration spaces and \(\Theta_n\). Zbl 1304.18013 Ayala, David; Hepworth, Richard 4 2014 Counting bitangents with stable maps. Zbl 1106.14044 Ayala, David; Cavalieri, Renzo 1 2006 Two triangulation methods based on edge refinement. Zbl 1083.68143 Vigo, M.; Pla, N.; Ayala, D. 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 155 Authors 11 Francis, John 10 Ayala, David 6 Haugseng, Rune 6 Knudsen, Ben 5 Benini, Marco 5 Schenkel, Alexander 4 Idrissi, Najib 4 Jordan, David Andrew 4 Woike, Lukas 3 Brochier, Adrien 3 Hebestreit, Fabian 3 Kong, Liang 3 Markarian, Nikita 3 Miller, Jeremy A. 3 Nuiten, Joost Jakob 3 Rasekh, Nima 3 Rozenblyum, Nick 3 Safronov, Pavel 3 Zheng, Hao 2 Barthel, Tobias 2 Ben-Zvi, David 2 Carmona, Victor 2 Ching, Michael 2 Cooke, Juliet 2 Drummond-Cole, Gabriel C. 2 Elliott, Chris 2 Fuchs, Jürgen 2 Hess, Kathryn P. 2 Ho, Quoc P. 2 Kapranov, Mikhail M. 2 Klang, Inbar 2 Kupers, Alexander 2 Linskens, Sil 2 Müller, Lukas 2 Ozornova, Viktoriya 2 Paquette, Natalie M. 2 Riehl, Emily 2 Rovelli, Martina 2 Schaumann, Gregor 2 Schlank, Tomer M. 2 Schweigert, Christoph 2 Snyder, Noah 2 Stapleton, Nathaniel 2 Steimle, Wolfgang 2 Tanaka, Hiro Lee 2 Tham, Ying Hong 2 Weelinck, T. A. N. 2 Weiss, Michael S. 2 Willwacher, Thomas Hans 1 Abe, Tomoyuki 1 Albers, Peter 1 Alpert, Hannah 1 An, Byung Hee 1 Arone, Gregory Z. 1 Bandklayder, Lauren 1 Barwick, Clark 1 Bayindir, Haldun Özgör 1 Beem, Christopher 1 Blagojević, Pavle V. M. 1 Boavida de Brito, Pedro 1 Bullimore, Mathew Richard 1 Calmès, Baptiste 1 Campos, Ricardo 1 Chan, Kwokwai 1 Chen, Harrison 1 Cieliebak, Kai 1 Clausen, Dustin 1 Contreras, Iván A. 1 Costello, Kevin Joseph 1 Curry, Justin Michael 1 Dimofte, Tudor Dan 1 Dotto, Emanuele 1 Douteau, Sylvain 1 Dundas, Bjørn Ian 1 Dwyer, William G. 1 Dyckerhoff, Tobias 1 Eager, Richard 1 Fresse, Benoit 1 Gaitsgory, Dennis 1 Ginot, Grégory 1 Glasman, Saul 1 González-Prieto, Ángel 1 Gunningham, Sam 1 Gürer, Serap 1 Gwilliam, Owen 1 Haderi, Redi 1 Hahn, Jeremy 1 Harpaz, Yonatan 1 Heine, Hadrian 1 Hennion, Benjamin 1 Hinich, Vladimir 1 Hirsh, Joseph 1 Iglesias-Zemmour, Patrick 1 Isaev, Valery 1 Iwanari, Isamu 1 Izumi, Masaki 1 Jansen, Mikala Ørsnes 1 Johnson-Freyd, Theo 1 Kahle, Matthew 1 Kaufmann, Ralph M. ...and 55 more Authors all top 5 Cited in 50 Serials 13 Advances in Mathematics 9 Selecta Mathematica. New Series 9 Algebraic & Geometric Topology 5 Communications in Mathematical Physics 5 Letters in Mathematical Physics 4 Theory and Applications of Categories 4 Journal of Homotopy and Related Structures 4 Higher Structures 3 Compositio Mathematica 3 Inventiones Mathematicae 3 Mathematische Zeitschrift 3 Journal of the American Mathematical Society 3 Applied Categorical Structures 3 Geometry & Topology 3 Journal of Topology 3 Forum of Mathematics, Sigma 2 Israel Journal of Mathematics 2 Nuclear Physics. B 2 Journal of Geometry and Physics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Forum Mathematicum 2 Journal of Knot Theory and its Ramifications 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 2 Annales Henri Poincaré 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Fortschritte der Physik 1 Bulletin of the London Mathematical Society 1 Journal of Algebra 1 Order 1 Publicacions Matemàtiques 1 Differential Geometry and its Applications 1 MSCS. Mathematical Structures in Computer Science 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Tbilisi Mathematical Journal 1 Confluentes Mathematici 1 Quantum Topology 1 Journal of Singularities 1 Journal of Applied and Computational Topology all top 5 Cited in 27 Fields 74 Category theory; homological algebra (18-XX) 60 Algebraic topology (55-XX) 42 Manifolds and cell complexes (57-XX) 25 Quantum theory (81-XX) 14 Algebraic geometry (14-XX) 14 Nonassociative rings and algebras (17-XX) 13 Associative rings and algebras (16-XX) 9 \(K\)-theory (19-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Commutative algebra (13-XX) 3 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) Citations by Year