Edit Profile Hill, Michael A. Compute Distance To: Compute Author ID: hill.michael-a Published as: Hill, M.; Hill, M. A.; Hill, Michael; Hill, Michael A. External Links: MGP · Wikidata Documents Indexed: 42 Publications since 2007, including 2 Books all top 5 Co-Authors 6 single-authored 11 Hopkins, Michael Jerome 8 Ravenel, Douglas C. 7 Blumberg, Andrew J. 7 Lawson, Tyler Douglas 5 Angeltveit, Vigleik 4 Gerhardt, Teena 3 Douglas, Christopher L. 3 Henriques, André G. 2 Behrens, Mechthild 2 Francis, John 1 Lindenstrauss, Ayelet 1 Mahowald, Mark Edward 1 Mahowald, Matthew 1 Mandell, Michael A. all top 5 Serials 2 Advances in Mathematics 2 Proceedings of the American Mathematical Society 2 Homology, Homotopy and Applications 2 Algebraic & Geometric Topology 1 American Journal of Mathematics 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Topology and its Applications 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Mathematical Surveys and Monographs 1 New Mathematical Monographs 1 Journal of \(K\)-Theory 1 Tunisian Journal of Mathematics all top 5 Fields 32 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 4 Category theory; homological algebra (18-XX) 3 Algebraic geometry (14-XX) 3 \(K\)-theory (19-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 27 Publications have been cited 207 times in 131 Documents Cited by ▼ Year ▼ On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 67 2016 Operadic multiplications in equivariant spectra, norms, and transfers. Zbl 1329.55012Blumberg, Andrew J.; Hill, Michael A. 19 2015 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 16 2014 The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules. Zbl 1421.55002Hill, Michael A.; Meier, Lennart 11 2017 The equivariant slice filtration: a primer. Zbl 1403.55003Hill, Michael A. 9 2012 Ext and the motivic Steenrod algebra over \(\mathbb R\). Zbl 1222.55014Hill, Michael A. 9 2011 Topological modular forms with level structure. Zbl 1338.55006Hill, Michael; Lawson, Tyler 8 2016 Incomplete Tambara functors. Zbl 1388.55011Blumberg, Andrew J.; Hill, Michael A. 7 2018 Equivariant multiplicative closure. Zbl 1342.55007Hill, M. A.; Hopkins, M. J. 6 2014 On the algebraic \(K\)-theory of truncated polynomial algebras in several variables. Zbl 1317.19006Angeltveit, Vigleik; Gerhardt, Teena; Hill, Michael A.; Lindenstrauss, Ayelet 5 2014 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2010 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 5 2008 The cohomology of \(C_2\)-equivariant \(\mathcal{A} (1)\) and the homotopy of \(\operatorname{ko}_{C_2} \). Zbl 1440.14124Guillou, Bertrand J.; Hill, Michael A.; Isaksen, Daniel C.; Ravenel, Douglas Conner 4 2020 Topological cyclic homology via the norm. Zbl 1417.55015Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler; Mandell, Michael A. 4 2018 Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25–31, 2007. Zbl 1304.55002Douglas, Christopher L. (ed.); Francis, John (ed.); Henriques, André G. (ed.); Hill, Michael A. (ed.) 4 2014 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 4 2011 Automorphic forms and cohomology theories on Shimura curves of small discriminant. Zbl 1220.55006Hill, Michael; Lawson, Tyler 4 2010 Topological Hochschild homology of \(\ell \) and \(ko\). Zbl 1271.55009Angeltveit, Vigleik; Hill, Michael A.; Lawson, Tyler 4 2010 An equivariant tensor product on Mackey functors. Zbl 1420.19001Hill, Michael A.; Mazur, Kristen 3 2019 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 3 2017 Equivariant chromatic localizations and commutativity. Zbl 1437.55013Hill, Michael A. 2 2019 The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. 2 2017 The 3-local \({tmf}\)-homology of \(B\Sigma_3\). Zbl 1130.55003Hill, Michael A. 2 2007 The Witt vectors for Green functors. Zbl 1440.55005Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler 1 2019 A new formulation of the equivariant slice filtration with applications to \(C_p\)-slices. Zbl 1395.55014Hill, Michael A.; Yarnall, Carolyn 1 2018 Interpreting the Bökstedt smash product as the norm. Zbl 1351.55011Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler 1 2016 Cyclic comodules, the homology of \(j\), and \(j\)-homology. Zbl 1169.55004Hill, Michael A. 1 2008 The cohomology of \(C_2\)-equivariant \(\mathcal{A} (1)\) and the homotopy of \(\operatorname{ko}_{C_2} \). Zbl 1440.14124Guillou, Bertrand J.; Hill, Michael A.; Isaksen, Daniel C.; Ravenel, Douglas Conner 4 2020 An equivariant tensor product on Mackey functors. Zbl 1420.19001Hill, Michael A.; Mazur, Kristen 3 2019 Equivariant chromatic localizations and commutativity. Zbl 1437.55013Hill, Michael A. 2 2019 The Witt vectors for Green functors. Zbl 1440.55005Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler 1 2019 Incomplete Tambara functors. Zbl 1388.55011Blumberg, Andrew J.; Hill, Michael A. 7 2018 Topological cyclic homology via the norm. Zbl 1417.55015Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler; Mandell, Michael A. 4 2018 A new formulation of the equivariant slice filtration with applications to \(C_p\)-slices. Zbl 1395.55014Hill, Michael A.; Yarnall, Carolyn 1 2018 The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules. Zbl 1421.55002Hill, Michael A.; Meier, Lennart 11 2017 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 3 2017 The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. 2 2017 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 67 2016 Topological modular forms with level structure. Zbl 1338.55006Hill, Michael; Lawson, Tyler 8 2016 Interpreting the Bökstedt smash product as the norm. Zbl 1351.55011Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler 1 2016 Operadic multiplications in equivariant spectra, norms, and transfers. Zbl 1329.55012Blumberg, Andrew J.; Hill, Michael A. 19 2015 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 16 2014 Equivariant multiplicative closure. Zbl 1342.55007Hill, M. A.; Hopkins, M. J. 6 2014 On the algebraic \(K\)-theory of truncated polynomial algebras in several variables. Zbl 1317.19006Angeltveit, Vigleik; Gerhardt, Teena; Hill, Michael A.; Lindenstrauss, Ayelet 5 2014 Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25–31, 2007. Zbl 1304.55002Douglas, Christopher L. (ed.); Francis, John (ed.); Henriques, André G. (ed.); Hill, Michael A. (ed.) 4 2014 The equivariant slice filtration: a primer. Zbl 1403.55003Hill, Michael A. 9 2012 Ext and the motivic Steenrod algebra over \(\mathbb R\). Zbl 1222.55014Hill, Michael A. 9 2011 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 4 2011 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2010 Automorphic forms and cohomology theories on Shimura curves of small discriminant. Zbl 1220.55006Hill, Michael; Lawson, Tyler 4 2010 Topological Hochschild homology of \(\ell \) and \(ko\). Zbl 1271.55009Angeltveit, Vigleik; Hill, Michael A.; Lawson, Tyler 4 2010 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 5 2008 Cyclic comodules, the homology of \(j\), and \(j\)-homology. Zbl 1169.55004Hill, Michael A. 1 2008 The 3-local \({tmf}\)-homology of \(B\Sigma_3\). Zbl 1130.55003Hill, Michael A. 2 2007 all cited Publications top 5 cited Publications all top 5 Cited by 139 Authors 17 Hill, Michael A. 9 Blumberg, Andrew J. 6 Greenlees, John P. C. 5 Angeltveit, Vigleik 5 Hu, Po 5 Kříž, Igor 5 Lawson, Tyler Douglas 5 Naumann, Niko 5 Østvær, Paul Arne 4 Guillou, Bertrand J. 4 Hopkins, Michael Jerome 4 Isaksen, Daniel C. 4 Kitchloo, Nitu 4 Lorman, Vitaly 4 Mathew, Akhil 4 Meier, Lennart 4 Noel, Justin 4 Ormsby, Kyle M. 4 Sati, Hisham 4 Wilson, W. Stephen 3 Dotto, Emanuele 3 Gerhardt, Teena 3 Hausmann, Markus 3 Hill, Michael A.: Hopkins, Michael J. 3 Ravenel, Douglas C. 3 Schreiber, Urs 2 Baker, Andrew J. 2 Bohmann, Anna Marie 2 Bonventre, Peter 2 Dundas, Bjørn Ian 2 Heller, Jeremiah 2 Koschorke, Ulrich 2 Krannich, Manuel 2 Laures, Gerd 2 Lück, Wolfgang 2 Malkiewich, Cary 2 Mandell, Michael A. 2 Patchkoria, Irakli 2 Pereira, Luís Alexandre 2 Randall, Duane 2 Reich, Holger 2 Richter, Birgit 2 Rognes, John 2 Shi, Xiaolin Danny 2 Somberg, Petr 2 Varisco, Marco 2 Wang, Guozhen 2 Xu, Zhouli 2 Yarnall, Carolyn 1 Ananyevskiy, Alexey 1 Andrews, Michael J. 1 Angelini-Knoll, Gabe 1 Atiyah, Michael Francis 1 Balmer, Paul 1 Barthel, Tobias 1 Barwick, Clark 1 Basu, Samik 1 Batanin, Michael A. 1 Behrens, Mark Joseph 1 Belmont, Eva 1 Berger, Clemens 1 Bhattacharya, Prasit 1 Böhme, Benjamin 1 Braun, Christelle 1 Braunack-Mayer, Vincent 1 Bunke, Ulrich 1 Casals, Roger 1 Chuang, Joseph 1 Clausen, Dustin 1 Crowley, Diarmuid John 1 Culver, Dominic Leon 1 Dessai, Anand Naique 1 Dettmann, Carl P. 1 Dugger, Daniel 1 Durán Fernandez, Carlos Eduardo 1 Egger, Philip 1 Ellis, Dondi 1 Fain, Vitaly 1 Gepner, David 1 Gheorghe, Bogdan 1 Ghosh, Surojit 1 Glasman, Saul 1 Gonçalves, Daciberg Lima 1 González-Álvaro, David 1 Grodal, Jesper 1 Gukov, Sergei 1 Hahn, Jeremy 1 Hambleton, Ian 1 Heard, Drew 1 Huang, Ruizhi 1 Huerta, John 1 Johnson, Niles 1 Keating, Ailsa M. 1 Kreck, Matthias 1 Krishna, Amalendu 1 Lazarev, Andrey 1 Lee, Dae-Woong 1 Li, Ang 1 Li, Guchuan 1 Lindenstrauss, Ayelet ...and 39 more Authors all top 5 Cited in 45 Serials 16 Advances in Mathematics 14 Algebraic & Geometric Topology 7 Journal of Pure and Applied Algebra 7 Geometry & Topology 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Topology and its Applications 4 Journal of Homotopy and Related Structures 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Selecta Mathematica. New Series 3 Theory and Applications of Categories 3 Documenta Mathematica 2 Communications in Mathematical Physics 2 Journal of Algebra 2 The New York Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Fixed Point Theory and Applications 2 Journal of Topology 2 Annals of \(K\)-Theory 2 Tunisian Journal of Mathematics 1 Communications in Algebra 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Journal of Geometry and Physics 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Forum Mathematicum 1 Elemente der Mathematik 1 Bulletin of the American Mathematical Society. New Series 1 Journal of High Energy Physics 1 The Quarterly Journal of Mathematics 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Journal of \(K\)-Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 20 Fields 113 Algebraic topology (55-XX) 29 \(K\)-theory (19-XX) 23 Category theory; homological algebra (18-XX) 22 Algebraic geometry (14-XX) 17 Manifolds and cell complexes (57-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 6 Differential geometry (53-XX) 5 Number theory (11-XX) 5 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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