# zbMATH — the first resource for mathematics

## Hill, Michael A.

Compute Distance To:
 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)

#### 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 1366.55007
Hill, M. A.; Hopkins, M. J.; Ravenel, D. C.
2016
Operadic multiplications in equivariant spectra, norms, and transfers. Zbl 1329.55012
Blumberg, Andrew J.; Hill, Michael A.
2015
On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2014
The $$C_2$$-spectrum $$\mathrm{Tmf}_1(3)$$ and its invertible modules. Zbl 1421.55002
Hill, Michael A.; Meier, Lennart
2017
The equivariant slice filtration: a primer. Zbl 1403.55003
Hill, Michael A.
2012
Ext and the motivic Steenrod algebra over $$\mathbb R$$. Zbl 1222.55014
Hill, Michael A.
2011
Topological modular forms with level structure. Zbl 1338.55006
Hill, Michael; Lawson, Tyler
2016
Incomplete Tambara functors. Zbl 1388.55011
Blumberg, Andrew J.; Hill, Michael A.
2018
Equivariant multiplicative closure. Zbl 1342.55007
Hill, M. A.; Hopkins, M. J.
2014
On the algebraic $$K$$-theory of truncated polynomial algebras in several variables. Zbl 1317.19006
Angeltveit, Vigleik; Gerhardt, Teena; Hill, Michael A.; Lindenstrauss, Ayelet
2014
The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2010
On the existence of a $$v_2^{32}$$-self map on $$M(1,4)$$ at the prime 2. Zbl 1162.55010
Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M.
2008
The cohomology of $$C_2$$-equivariant $$\mathcal{A} (1)$$ and the homotopy of $$\operatorname{ko}_{C_2}$$. Zbl 1440.14124
Guillou, Bertrand J.; Hill, Michael A.; Isaksen, Daniel C.; Ravenel, Douglas Conner
2020
Topological cyclic homology via the norm. Zbl 1417.55015
Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler; Mandell, Michael A.
2018
Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25–31, 2007. Zbl 1304.55002
Douglas, Christopher L. (ed.); Francis, John (ed.); Henriques, André G. (ed.); Hill, Michael A. (ed.)
2014
The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2011
Automorphic forms and cohomology theories on Shimura curves of small discriminant. Zbl 1220.55006
Hill, Michael; Lawson, Tyler
2010
Topological Hochschild homology of $$\ell$$ and $$ko$$. Zbl 1271.55009
Angeltveit, Vigleik; Hill, Michael A.; Lawson, Tyler
2010
An equivariant tensor product on Mackey functors. Zbl 1420.19001
Hill, Michael A.; Mazur, Kristen
2019
The slice spectral sequence for the $$C_{4}$$ analog of real $$K$$-theory. Zbl 1362.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2017
Equivariant chromatic localizations and commutativity. Zbl 1437.55013
Hill, Michael A.
2019
The slice spectral sequence for certain $$RO(C_{p^n})$$-graded suspensions of $$H\underline{\mathbb{Z}}$$. Zbl 1379.55013
Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C.
2017
The 3-local $${tmf}$$-homology of $$B\Sigma_3$$. Zbl 1130.55003
Hill, Michael A.
2007
The Witt vectors for Green functors. Zbl 1440.55005
Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler
2019
A new formulation of the equivariant slice filtration with applications to $$C_p$$-slices. Zbl 1395.55014
Hill, Michael A.; Yarnall, Carolyn
2018
Interpreting the Bökstedt smash product as the norm. Zbl 1351.55011
Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler
2016
Cyclic comodules, the homology of $$j$$, and $$j$$-homology. Zbl 1169.55004
Hill, Michael A.
2008
The cohomology of $$C_2$$-equivariant $$\mathcal{A} (1)$$ and the homotopy of $$\operatorname{ko}_{C_2}$$. Zbl 1440.14124
Guillou, Bertrand J.; Hill, Michael A.; Isaksen, Daniel C.; Ravenel, Douglas Conner
2020
An equivariant tensor product on Mackey functors. Zbl 1420.19001
Hill, Michael A.; Mazur, Kristen
2019
Equivariant chromatic localizations and commutativity. Zbl 1437.55013
Hill, Michael A.
2019
The Witt vectors for Green functors. Zbl 1440.55005
Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler
2019
Incomplete Tambara functors. Zbl 1388.55011
Blumberg, Andrew J.; Hill, Michael A.
2018
Topological cyclic homology via the norm. Zbl 1417.55015
Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler; Mandell, Michael A.
2018
A new formulation of the equivariant slice filtration with applications to $$C_p$$-slices. Zbl 1395.55014
Hill, Michael A.; Yarnall, Carolyn
2018
The $$C_2$$-spectrum $$\mathrm{Tmf}_1(3)$$ and its invertible modules. Zbl 1421.55002
Hill, Michael A.; Meier, Lennart
2017
The slice spectral sequence for the $$C_{4}$$ analog of real $$K$$-theory. Zbl 1362.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2017
The slice spectral sequence for certain $$RO(C_{p^n})$$-graded suspensions of $$H\underline{\mathbb{Z}}$$. Zbl 1379.55013
Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C.
2017
On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007
Hill, M. A.; Hopkins, M. J.; Ravenel, D. C.
2016
Topological modular forms with level structure. Zbl 1338.55006
Hill, Michael; Lawson, Tyler
2016
Interpreting the Bökstedt smash product as the norm. Zbl 1351.55011
Angeltveit, Vigleik; Blumberg, Andrew J.; Gerhardt, Teena; Hill, Michael A.; Lawson, Tyler
2016
Operadic multiplications in equivariant spectra, norms, and transfers. Zbl 1329.55012
Blumberg, Andrew J.; Hill, Michael A.
2015
On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2014
Equivariant multiplicative closure. Zbl 1342.55007
Hill, M. A.; Hopkins, M. J.
2014
On the algebraic $$K$$-theory of truncated polynomial algebras in several variables. Zbl 1317.19006
Angeltveit, Vigleik; Gerhardt, Teena; Hill, Michael A.; Lindenstrauss, Ayelet
2014
Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25–31, 2007. Zbl 1304.55002
Douglas, Christopher L. (ed.); Francis, John (ed.); Henriques, André G. (ed.); Hill, Michael A. (ed.)
2014
The equivariant slice filtration: a primer. Zbl 1403.55003
Hill, Michael A.
2012
Ext and the motivic Steenrod algebra over $$\mathbb R$$. Zbl 1222.55014
Hill, Michael A.
2011
The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2011
The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
2010
Automorphic forms and cohomology theories on Shimura curves of small discriminant. Zbl 1220.55006
Hill, Michael; Lawson, Tyler
2010
Topological Hochschild homology of $$\ell$$ and $$ko$$. Zbl 1271.55009
Angeltveit, Vigleik; Hill, Michael A.; Lawson, Tyler
2010
On the existence of a $$v_2^{32}$$-self map on $$M(1,4)$$ at the prime 2. Zbl 1162.55010
Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M.
2008
Cyclic comodules, the homology of $$j$$, and $$j$$-homology. Zbl 1169.55004
Hill, Michael A.
2008
The 3-local $${tmf}$$-homology of $$B\Sigma_3$$. Zbl 1130.55003
Hill, Michael A.
2007
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)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.