# zbMATH — the first resource for mathematics

## Behrens, Mark Joseph

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 Author ID: behrens.mark-joseph Published as: Behrens, M.; Behrens, Mark; Behrens, Mark J.; Behrens, Mark Joseph
 Documents Indexed: 29 Publications since 2002, including 2 Books
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#### Co-Authors

 10 single-authored 3 Lawson, Tyler Douglas 2 Ormsby, Kyle M. 2 Rezk, Charles 2 Teichner, Peter 2 Weiss, Michael S. 1 Charney, Ruth M. 1 Davis, Daniel G. 1 Davis, Donald M. 1 Laures, Gerd 1 Pemmaraju, Satya 1 Priddy, Stewart B. 1 Ravenel, Douglas C. 1 Shah, Jay 1 Stapleton, Nathaniel 1 Stojanoska, Vesna 1 Tangora, Martin C. 1 Wahl, Nathalie 1 Wilson, Dylan
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#### Serials

 2 Memoirs of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Algebraic & Geometric Topology 2 Oberwolfach Reports 1 Advances in Mathematics 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Topology 1 Topology and its Applications 1 Notices of the American Mathematical Society 1 Geometry & Topology 1 Journal of Topology 1 Annals of $$K$$-Theory
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#### Fields

 24 Algebraic topology (55-XX) 6 Number theory (11-XX) 3 Algebraic geometry (14-XX) 2 General and overarching topics; collections (00-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX)

#### Citations contained in zbMATH

22 Publications have been cited 107 times in 73 Documents Cited by Year
A modular description of the $$K(2)$$-local sphere at the prime 3. Zbl 1099.55002
Behrens, Mark
2006
The homotopy fixed point spectra of profinite Galois extensions. Zbl 1204.55007
Behrens, Mark; Davis, Daniel G.
2010
Topological automorphic forms. Zbl 1210.55005
Behrens, Mark; Lawson, Tyler
2010
The Goodwillie tower and the EHP sequence. Zbl 1330.55012
Behrens, Mark
2012
On the homotopy of $$Q(3)$$ and $$Q(5)$$ at the prime 2. Zbl 1366.55009
Behrens, Mark; Ormsby, Kyle M.
2016
$$\beta$$-family congruences and the $$f$$-invariant. Zbl 1222.55013
Behrens, Mark; Laures, Gerd
2009
Congruences between modular forms given by the divided $$\beta$$ family in homotopy theory. Zbl 1205.55012
Behrens, Mark
2009
The homotopy groups of $$S_{E(2)}$$ at $$p\geq 5$$ revisited. Zbl 1256.55004
Behrens, Mark
2012
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
On the existence of the self map $$\upsilon ^9_2$$ on the Smith-Toda complex $$V (1)$$ at the prime 3. Zbl 1081.55011
Behrens, Mark; Pemmaraju, Satya
2004
The Goodwillie tower for $$S^1$$ and Kuhn’s theorem. Zbl 1230.55007
Behrens, Mark
2011
Buildings, elliptic curves, and the $$K(2)$$-local sphere. Zbl 1147.55011
Behrens, Mark
2007
The construction of $$tmf$$. Zbl 1328.55014
Behrens, Mark
2014
A new proof of the Bott periodicity theorem. Zbl 0992.55013
Behrens, Mark J.
2002
Some root invariants at the prime 2. Zbl 1112.55013
Behrens, Mark
2007
Isogenies of elliptic curves and the Morava stabilizer group. Zbl 1118.14038
Behrens, Mark; Lawson, Tyler
2006
The Bousfield-Kuhn functor and topological André-Quillen cohomology. Zbl 1444.55003
Behrens, Mark; Rezk, Charles
2020
On the ring of cooperations for 2-primary connective topological modular forms. Zbl 1444.55004
Behrens, M.; Ormsby, K.; Stapleton, N.; Stojanoska, V.
2019
A $$C_2$$-equivariant analog of Mahowald’s Thom spectrum theorem. Zbl 1409.55010
Behrens, Mark; Wilson, Dylan
2018
Higher real $$K$$-theories and topological automorphic forms. Zbl 1254.55001
Behrens, M.; Hopkins, M. J.
2011
Topological automorphic forms on $$U(1,1)$$. Zbl 1216.55001
Behrens, Mark; Lawson, Tyler
2011
Root invariants in the Adams spectral sequence. Zbl 1099.55007
Behrens, Mark
2006
The Bousfield-Kuhn functor and topological André-Quillen cohomology. Zbl 1444.55003
Behrens, Mark; Rezk, Charles
2020
On the ring of cooperations for 2-primary connective topological modular forms. Zbl 1444.55004
Behrens, M.; Ormsby, K.; Stapleton, N.; Stojanoska, V.
2019
A $$C_2$$-equivariant analog of Mahowald’s Thom spectrum theorem. Zbl 1409.55010
Behrens, Mark; Wilson, Dylan
2018
On the homotopy of $$Q(3)$$ and $$Q(5)$$ at the prime 2. Zbl 1366.55009
Behrens, Mark; Ormsby, Kyle M.
2016
The construction of $$tmf$$. Zbl 1328.55014
Behrens, Mark
2014
The Goodwillie tower and the EHP sequence. Zbl 1330.55012
Behrens, Mark
2012
The homotopy groups of $$S_{E(2)}$$ at $$p\geq 5$$ revisited. Zbl 1256.55004
Behrens, Mark
2012
The Goodwillie tower for $$S^1$$ and Kuhn’s theorem. Zbl 1230.55007
Behrens, Mark
2011
Higher real $$K$$-theories and topological automorphic forms. Zbl 1254.55001
Behrens, M.; Hopkins, M. J.
2011
Topological automorphic forms on $$U(1,1)$$. Zbl 1216.55001
Behrens, Mark; Lawson, Tyler
2011
The homotopy fixed point spectra of profinite Galois extensions. Zbl 1204.55007
Behrens, Mark; Davis, Daniel G.
2010
Topological automorphic forms. Zbl 1210.55005
Behrens, Mark; Lawson, Tyler
2010
$$\beta$$-family congruences and the $$f$$-invariant. Zbl 1222.55013
Behrens, Mark; Laures, Gerd
2009
Congruences between modular forms given by the divided $$\beta$$ family in homotopy theory. Zbl 1205.55012
Behrens, Mark
2009
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
Buildings, elliptic curves, and the $$K(2)$$-local sphere. Zbl 1147.55011
Behrens, Mark
2007
Some root invariants at the prime 2. Zbl 1112.55013
Behrens, Mark
2007
A modular description of the $$K(2)$$-local sphere at the prime 3. Zbl 1099.55002
Behrens, Mark
2006
Isogenies of elliptic curves and the Morava stabilizer group. Zbl 1118.14038
Behrens, Mark; Lawson, Tyler
2006
Root invariants in the Adams spectral sequence. Zbl 1099.55007
Behrens, Mark
2006
On the existence of the self map $$\upsilon ^9_2$$ on the Smith-Toda complex $$V (1)$$ at the prime 3. Zbl 1081.55011
Behrens, Mark; Pemmaraju, Satya
2004
A new proof of the Bott periodicity theorem. Zbl 0992.55013
Behrens, Mark J.
2002
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#### Cited by 68 Authors

 11 Behrens, Mark Joseph 7 Lawson, Tyler Douglas 6 Davis, Daniel G. 6 Hill, Michael A. 3 Beaudry, Agnès 3 Henn, Hans-Werner 3 Meier, Lennart 3 Rezk, Charles 3 Stojanoska, Vesna 3 Szymik, Markus 3 Torii, Takeshi 2 Baker, Andrew J. 2 Barthel, Tobias 2 Bunke, Ulrich 2 Heard, Drew 2 Mathew, Akhil 2 Naumann, Niko 2 Shimomura, Katsumi 1 Andrews, Michael J. 1 Antolín-Camarena, Omar 1 Baues, Hans-Joachim 1 Bergner, Julie 1 Bhattacharya, Prasit 1 Bobkova, Irina 1 Carlsson, Gunnar E. 1 Cho’n, Phan Hoàng 1 Clausen, Dustin 1 Culver, Dominic Leon 1 Douglas, Christopher L. 1 Dundas, Bjørn Ian 1 Egger, Philip 1 Frankland, Martin 1 Goerss, Paul G. 1 Hahn, Jeremy 1 Ho, Hai Nguyen Dang 1 Hollander, Sharon 1 Hu, Po 1 Ichigi, Ippei 1 Joachimi, Ruth 1 Karamanov, Nasko 1 Kjaer, Jens Jakob 1 Kohlhaase, Jan 1 Kříž, Igor 1 Kuhn, Nicholas J. 1 Larson, Donald Matthew 1 Laures, Gerd 1 Lê Minh Hà 1 Lesh, Kathryn 1 Mahowald, Mark Edward 1 Markert, Elke K. 1 Morava, Jack Johnson 1 Niles, Andrew 1 Noel, Justin 1 Ormsby, Kyle M. 1 Ozornova, Viktoriya 1 Powell, Geoffrey M. L. 1 Quigley, James D. 1 Richter, Birgit 1 Salch, Andrew 1 Schwartz, Lionel 1 Shi, Xiaolin Danny 1 Smithling, Brian D. 1 Tradler, Thomas 1 von Bodecker, Hanno Alexander 1 Wickelgren, Kirsten G. 1 Wilson, Scott O. 1 Zeinalian, Mahmoud 1 Zhu, Yifei
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#### Cited in 23 Serials

 11 Algebraic & Geometric Topology 7 Advances in Mathematics 7 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 5 Geometry & Topology 4 Journal of Pure and Applied Algebra 4 Topology and its Applications 3 Inventiones Mathematicae 3 Journal of Homotopy and Related Structures 2 Compositio Mathematica 2 Glasgow Mathematical Journal 2 Mathematische Zeitschrift 1 Communications in Algebra 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Topology 1 Journal of $$K$$-Theory
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#### Cited in 11 Fields

 67 Algebraic topology (55-XX) 17 Algebraic geometry (14-XX) 10 Number theory (11-XX) 6 $$K$$-theory (19-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Category theory; homological algebra (18-XX) 3 Group theory and generalizations (20-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX)