Edit Profile (opens in new tab) Hill, Michael A. Compute Distance To: Compute Author ID: hill.michael-a Published as: Hill, Michael A.; Hill, Michael; Hill, M. A.; Hill, M. External Links: MGP · Wikidata · GND Documents Indexed: 44 Publications since 2007, including 1 Book 3 Contributions as Editor · 1 Further Contribution Co-Authors: 26 Co-Authors with 37 Joint Publications 347 Co-Co-Authors all top 5 Co-Authors 10 single-authored 12 Hopkins, Michael Jerome 9 Blumberg, Andrew J. 9 Ravenel, Douglas C. 7 Lawson, Tyler Douglas 5 Angeltveit, Vigleik 4 Gerhardt, Teena 3 Douglas, Christopher L. 3 Henriques, André G. 2 Beaudry, Agnès 2 Francis, John 2 Zeng, Mingcong 1 Bobkova, Irina 1 Gerbelli-Gauthier, Mathilde 1 Grodal, Jesper 1 Guillou, Bertrand J. 1 Harris, Pamela E. 1 Isaksen, Daniel C. 1 Karp, Dagan 1 Lindenstrauss, Ayelet 1 Mahowald, Mark Edward 1 Mandell, Michael A. 1 Mazur, Kristen 1 Meier, Lennart 1 Richter, Birgit 1 Riehl Emily 1 Shi, Xiaolin Danny 1 Stojanoska, Vesna 1 Yarnall, Carolyn all top 5 Serials 4 Algebraic & Geometric Topology 3 Advances in Mathematics 3 Journal of Pure and Applied Algebra 3 Proceedings of the American Mathematical Society 2 Journal of Algebra 2 Journal of the London Mathematical Society. Second Series 2 Homology, Homotopy and Applications 2 Tunisian Journal of Mathematics 1 American Journal of Mathematics 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Topology and its Applications 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Oberwolfach Reports 1 Mathematical Surveys and Monographs 1 New Mathematical Monographs 1 Journal of Homotopy and Related Structures 1 Journal of \(K\)-Theory all top 5 Fields 46 Algebraic topology (55-XX) 10 Manifolds and cell complexes (57-XX) 7 Category theory; homological algebra (18-XX) 6 Algebraic geometry (14-XX) 4 \(K\)-theory (19-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 265 times in 162 Documents Cited by ▼ Year ▼ On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 83 2016 Operadic multiplications in equivariant spectra, norms, and transfers. Zbl 1329.55012Blumberg, Andrew J.; Hill, Michael A. 24 2015 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 17 2014 The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules. Zbl 1421.55002Hill, Michael A.; Meier, Lennart 15 2017 Ext and the motivic Steenrod algebra over \(\mathbb R\). Zbl 1222.55014Hill, Michael A. 13 2011 Topological modular forms with level structure. Zbl 1338.55006Hill, Michael; Lawson, Tyler 12 2016 The equivariant slice filtration: a primer. Zbl 1403.55003Hill, Michael A. 9 2012 Incomplete Tambara functors. Zbl 1388.55011Blumberg, Andrew J.; Hill, Michael A. 8 2018 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. 8 2008 Equivariant multiplicative closure. Zbl 1342.55007Hill, M. A.; Hopkins, M. J. 7 2014 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 7 2020 Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25–31, 2007. Zbl 1304.55002 6 2014 Automorphic forms and cohomology theories on Shimura curves of small discriminant. Zbl 1220.55006Hill, Michael; Lawson, Tyler 6 2010 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2010 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 problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2011 An equivariant tensor product on Mackey functors. Zbl 1420.19001Hill, Michael A.; Mazur, Kristen 5 2019 Topological cyclic homology via the norm. Zbl 1417.55015Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler; Mandell, Michael A. 5 2018 Topological Hochschild homology of \(\ell \) and \(ko\). Zbl 1271.55009Angeltveit, Vigleik; Hill, Michael A.; Lawson, Tyler 4 2010 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 4 2017 The 3-local \({tmf}\)-homology of \(B\Sigma_3\). Zbl 1130.55003Hill, Michael A. 3 2007 Equivariant chromatic localizations and commutativity. Zbl 1437.55013Hill, Michael A. 3 2019 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 2 2020 Homological obstructions to string orientations. Zbl 1230.55004Douglas, Christopher L.; Henriques, André G.; Hill, Michael A. 1 2011 A new formulation of the equivariant slice filtration with applications to \(C_p\)-slices. Zbl 1395.55014Hill, Michael A.; Yarnall, Carolyn 1 2018 Cyclic comodules, the homology of \(j\), and \(j\)-homology. Zbl 1169.55004Hill, Michael A. 1 2008 The Witt vectors for Green functors. Zbl 1440.55005Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler 1 2019 \(G\)-symmetric monoidal categories of modules over equivariant commutative ring spectra. Zbl 1427.55008Blumberg, Andrew J.; Hill, Michael A. 1 2020 Interpreting the Bökstedt smash product as the norm. Zbl 1351.55011Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler 1 2016 The spectra \(ko\) and \(ku\) are not Thom spectra: an approach using THH. Zbl 1177.55009Angeltveit, Vigleik; Hill, Michael; Lawson, Tyler 1 2009 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. 1 2017 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 7 2020 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 2 2020 \(G\)-symmetric monoidal categories of modules over equivariant commutative ring spectra. Zbl 1427.55008Blumberg, Andrew J.; Hill, Michael A. 1 2020 An equivariant tensor product on Mackey functors. Zbl 1420.19001Hill, Michael A.; Mazur, Kristen 5 2019 Equivariant chromatic localizations and commutativity. Zbl 1437.55013Hill, Michael A. 3 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. 8 2018 Topological cyclic homology via the norm. Zbl 1417.55015Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler; Mandell, Michael A. 5 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 15 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. 4 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. 1 2017 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 83 2016 Topological modular forms with level structure. Zbl 1338.55006Hill, Michael; Lawson, Tyler 12 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. 24 2015 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 17 2014 Equivariant multiplicative closure. Zbl 1342.55007Hill, M. A.; Hopkins, M. J. 7 2014 Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25–31, 2007. Zbl 1304.55002 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 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. 13 2011 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2011 Homological obstructions to string orientations. Zbl 1230.55004Douglas, Christopher L.; Henriques, André G.; Hill, Michael A. 1 2011 Automorphic forms and cohomology theories on Shimura curves of small discriminant. Zbl 1220.55006Hill, Michael; Lawson, Tyler 6 2010 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2010 Topological Hochschild homology of \(\ell \) and \(ko\). Zbl 1271.55009Angeltveit, Vigleik; Hill, Michael A.; Lawson, Tyler 4 2010 The spectra \(ko\) and \(ku\) are not Thom spectra: an approach using THH. Zbl 1177.55009Angeltveit, Vigleik; Hill, Michael; Lawson, Tyler 1 2009 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. 8 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. 3 2007 all cited Publications top 5 cited Publications all top 5 Cited by 175 Authors 20 Hill, Michael A. 9 Blumberg, Andrew J. 7 Greenlees, John P. C. 6 Meier, Lennart 5 Angeltveit, Vigleik 5 Hu, Po 5 Kříž, Igor 5 Lawson, Tyler Douglas 5 Naumann, Niko 5 Østvær, Paul Arne 4 Culver, Dominic Leon 4 Dotto, Emanuele 4 Guillou, Bertrand J. 4 Isaksen, Daniel C. 4 Kitchloo, Nitu 4 Lorman, Vitaly 4 Mathew, Akhil 4 Noel, Justin 4 Ormsby, Kyle M. 4 Patchkoria, Irakli 4 Quigley, James D. 4 Sati, Hisham 4 Wilson, W. Stephen 3 Gerhardt, Teena 3 Hausmann, Markus 3 Hopkins, Michael Jerome 3 Pei, Du 3 Ravenel, Douglas C. 3 Schreiber, Urs 3 Shi, Xiaolin Danny 3 Wang, Guozhen 3 Xu, Zhouli 2 Baker, Andrew J. 2 Bohmann, Anna Marie 2 Bonventre, Peter 2 Crowley, Diarmuid John 2 Dundas, Bjørn Ian 2 Gukov, Sergei 2 Hahn, Jeremy 2 Heard, Drew 2 Heller, Jeremiah 2 Kong, Hana Jia 2 Koschorke, Ulrich 2 Krannich, Manuel 2 Laures, Gerd 2 Lück, Wolfgang 2 Malkiewich, Cary 2 Mandell, Michael A. 2 Nikolaus, Thomas 2 Olbermann, Martin 2 Pereira, Luís Alexandre 2 Putrov, Pavel 2 Randall, Duane 2 Reich, Holger 2 Richter, Birgit 2 Rognes, John 2 Rubin, Jonathan 2 Somberg, Petr 2 Stonek, Bruno 2 Varisco, Marco 2 Wilson, Dylan 2 Yarnall, Carolyn 2 Zeng, Mingcong 1 Ananyevskiy, Alexey 1 Andrews, Michael J. 1 Angelini-Knoll, Gabriel 1 Arone, Gregory Z. 1 Atiyah, Michael Francis 1 Bachmann, Tom 1 Balmer, Paul 1 Barnes, David 1 Barthel, Tobias 1 Barwick, Clark 1 Basu, Samik 1 Batanin, Michael A. 1 Beaudry, Agnès 1 Behrens, Mark Joseph 1 Belmont, Eva 1 Berger, Clemens 1 Bhattacharya, Prasit 1 Böhme, Benjamin 1 Bokor, Imre 1 Brantner, D. Lukas B. 1 Braunack-Mayer, Vincent 1 Bunk, Severin 1 Bunke, Ulrich 1 Bustamante, Mauricio 1 Casacuberta, Carles 1 Casals, Roger 1 Chuang, Joseph 1 Clausen, Dustin 1 Costenoble, Steven R. 1 Courte, Sylvain 1 Đặng Võ Phúc 1 Dessai, Anand Naique 1 Dettmann, Carl P. 1 Dugger, Daniel 1 Durán Fernandez, Carlos Eduardo 1 Egger, Philip 1 Ellis, Dondi ...and 75 more Authors all top 5 Cited in 52 Serials 20 Advances in Mathematics 14 Algebraic & Geometric Topology 9 Journal of Pure and Applied Algebra 8 Transactions of the American Mathematical Society 7 Mathematische Zeitschrift 7 Proceedings of the American Mathematical Society 7 Topology and its Applications 7 Geometry & Topology 6 Documenta Mathematica 5 Journal of Homotopy and Related Structures 3 Communications in Mathematical Physics 3 Glasgow Mathematical Journal 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Selecta Mathematica. New Series 3 Theory and Applications of Categories 3 Annals of Mathematics. Second Series 2 Journal of Algebra 2 The New York Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Elemente der Mathematik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Applied Categorical Structures 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 24 Fields 137 Algebraic topology (55-XX) 31 \(K\)-theory (19-XX) 30 Algebraic geometry (14-XX) 29 Category theory; homological algebra (18-XX) 23 Manifolds and cell complexes (57-XX) 9 Quantum theory (81-XX) 8 Associative rings and algebras (16-XX) 8 Differential geometry (53-XX) 7 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 5 Commutative algebra (13-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.