Edit Profile (opens in new tab) Behrens, Mark Joseph Co-Author Distance Author ID: behrens.mark-joseph Published as: Behrens, Mark; Behrens, M.; Behrens, Mark Joseph; Behrens, Mark J. more...less Documents Indexed: 32 Publications since 2002, including 2 Books and 2 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 31 Co-Authors with 25 Joint Publications 469 Co-Co-Authors all top 5 Co-Authors 11 single-authored 3 Bhattacharya, Prasit 3 Charney, Ruth Michele 3 Culver, Dominic Leon 3 Hopkins, Michael Jerome 3 Lawson, Tyler Douglas 3 Weiss, Michael S. 2 Beaudry, Agnès 2 Galatius, Søren 2 Hill, Michael A. 2 Mahowald, Mark W. 2 Ormsby, Kyle M. 2 Rezk, Charles 2 Teichner, Peter 2 Xu, Zhouli 1 Angelini-Knoll, Gabriel 1 Belmont, Eva 1 Davis, Daniel G. 1 Davis, Donald M. 1 Kong, Hana Jia 1 Laures, Gerd 1 Mahowald, Mark Edward 1 Pemmaraju, Satya 1 Priddy, Stewart B. 1 Quigley, James D. 1 Ravenel, Douglas C. 1 Shah, Jay 1 Stapleton, Nathaniel 1 Stipsicz, András I. 1 Stojanoska, Vesna 1 Tangora, Martin C. 1 Wahl, Nathalie 1 Wilson, Dylan all top 5 Serials 4 Oberwolfach Reports 4 Journal of Topology 2 Memoirs of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Geometry & Topology 2 Algebraic & Geometric Topology 1 Advances in Mathematics 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 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 Homology, Homotopy and Applications 1 Annals of \(K\)-Theory all top 5 Fields 34 Algebraic topology (55-XX) 7 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 \(K\)-theory (19-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 237 times in 147 Documents Cited by ▼ Year ▼ A modular description of the \(K(2)\)-local sphere at the prime 3. Zbl 1099.55002 Behrens, Mark 24 2006 The homotopy fixed point spectra of profinite Galois extensions. Zbl 1204.55007 Behrens, Mark; Davis, Daniel G. 18 2010 The Goodwillie tower and the EHP sequence. Zbl 1330.55012 Behrens, Mark 17 2012 Topological automorphic forms. Zbl 1210.55005 Behrens, Mark; Lawson, Tyler 17 2010 On the homotopy of \(Q(3)\) and \(Q(5)\) at the prime 2. Zbl 1366.55009 Behrens, Mark; Ormsby, Kyle M. 15 2016 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. 14 2008 The homotopy groups of \(S_{E(2)}\) at \(p\geq 5\) revisited. Zbl 1256.55004 Behrens, Mark 11 2012 Congruences between modular forms given by the divided \(\beta \) family in homotopy theory. Zbl 1205.55012 Behrens, Mark 10 2009 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017 Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 10 2020 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 9 2004 \(C_2\)-equivariant stable homotopy from real motivic stable homotopy. Zbl 1475.55011 Behrens, Mark; Shah, Jay 9 2020 Some root invariants at the prime 2. Zbl 1112.55013 Behrens, Mark 8 2007 \(\beta \)-family congruences and the \(f\)-invariant. Zbl 1222.55013 Behrens, Mark; Laures, Gerd 8 2009 A \(C_2\)-equivariant analog of Mahowald’s Thom spectrum theorem. Zbl 1409.55010 Behrens, Mark; Wilson, Dylan 8 2018 The Bousfield-Kuhn functor and topological André-Quillen cohomology. Zbl 1444.55003 Behrens, Mark; Rezk, Charles 8 2020 The construction of \(tmf\). Zbl 1328.55014 Behrens, Mark 7 2014 Root invariants in the Adams spectral sequence. Zbl 1099.55007 Behrens, Mark 6 2006 Spectral algebra models of unstable \(v_n\)-periodic homotopy theory. Zbl 1456.55007 Behrens, Mark; Rezk, Charles 6 2020 On the ring of cooperations for 2-primary connective topological modular forms. Zbl 1444.55004 Behrens, M.; Ormsby, K.; Stapleton, N.; Stojanoska, V. 5 2019 Buildings, elliptic curves, and the \(K(2)\)-local sphere. Zbl 1147.55011 Behrens, Mark 5 2007 The Goodwillie tower for \(S^1\) and Kuhn’s theorem. Zbl 1230.55007 Behrens, Mark 4 2011 On the \(E_2\)-term of the bo-Adams spectral sequence. Zbl 1469.55013 Beaudry, A.; Behrens, M.; Bhattacharya, P.; Culver, D.; Xu, Z. 4 2020 The telescope conjecture at height 2 and the \(\operatorname{tmf} \) resolution. Zbl 07738193 Beaudry, Agnès; Behrens, Mark; Bhattacharya, Prasit; Culver, Dominic; Xu, Zhouli 3 2021 A new proof of the Bott periodicity theorem. Zbl 0992.55013 Behrens, Mark J. 2 2002 Isogenies of elliptic curves and the Morava stabilizer group. Zbl 1118.14038 Behrens, Mark; Lawson, Tyler 2 2006 The 2-primary Hurewicz image of \(\operatorname{tmf}\). Zbl 07781520 Behrens, Mark; Mahowald, Mark; Quigley, J. D. 2 2023 Topological modular and automorphic forms. Zbl 1476.55018 Behrens, Mark 2 2020 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001 Behrens, M.; Hopkins, M. J. 2 2011 Topological automorphic forms on \(U(1,1)\). Zbl 1216.55001 Behrens, Mark; Lawson, Tyler 1 2011 The 2-primary Hurewicz image of \(\operatorname{tmf}\). Zbl 07781520 Behrens, Mark; Mahowald, Mark; Quigley, J. D. 2 2023 The telescope conjecture at height 2 and the \(\operatorname{tmf} \) resolution. Zbl 07738193 Beaudry, Agnès; Behrens, Mark; Bhattacharya, Prasit; Culver, Dominic; Xu, Zhouli 3 2021 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017 Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 10 2020 \(C_2\)-equivariant stable homotopy from real motivic stable homotopy. Zbl 1475.55011 Behrens, Mark; Shah, Jay 9 2020 The Bousfield-Kuhn functor and topological André-Quillen cohomology. Zbl 1444.55003 Behrens, Mark; Rezk, Charles 8 2020 Spectral algebra models of unstable \(v_n\)-periodic homotopy theory. Zbl 1456.55007 Behrens, Mark; Rezk, Charles 6 2020 On the \(E_2\)-term of the bo-Adams spectral sequence. Zbl 1469.55013 Beaudry, A.; Behrens, M.; Bhattacharya, P.; Culver, D.; Xu, Z. 4 2020 Topological modular and automorphic forms. Zbl 1476.55018 Behrens, Mark 2 2020 On the ring of cooperations for 2-primary connective topological modular forms. Zbl 1444.55004 Behrens, M.; Ormsby, K.; Stapleton, N.; Stojanoska, V. 5 2019 A \(C_2\)-equivariant analog of Mahowald’s Thom spectrum theorem. Zbl 1409.55010 Behrens, Mark; Wilson, Dylan 8 2018 On the homotopy of \(Q(3)\) and \(Q(5)\) at the prime 2. Zbl 1366.55009 Behrens, Mark; Ormsby, Kyle M. 15 2016 The construction of \(tmf\). Zbl 1328.55014 Behrens, Mark 7 2014 The Goodwillie tower and the EHP sequence. Zbl 1330.55012 Behrens, Mark 17 2012 The homotopy groups of \(S_{E(2)}\) at \(p\geq 5\) revisited. Zbl 1256.55004 Behrens, Mark 11 2012 The Goodwillie tower for \(S^1\) and Kuhn’s theorem. Zbl 1230.55007 Behrens, Mark 4 2011 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001 Behrens, M.; Hopkins, M. J. 2 2011 Topological automorphic forms on \(U(1,1)\). Zbl 1216.55001 Behrens, Mark; Lawson, Tyler 1 2011 The homotopy fixed point spectra of profinite Galois extensions. Zbl 1204.55007 Behrens, Mark; Davis, Daniel G. 18 2010 Topological automorphic forms. Zbl 1210.55005 Behrens, Mark; Lawson, Tyler 17 2010 Congruences between modular forms given by the divided \(\beta \) family in homotopy theory. Zbl 1205.55012 Behrens, Mark 10 2009 \(\beta \)-family congruences and the \(f\)-invariant. Zbl 1222.55013 Behrens, Mark; Laures, Gerd 8 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. 14 2008 Some root invariants at the prime 2. Zbl 1112.55013 Behrens, Mark 8 2007 Buildings, elliptic curves, and the \(K(2)\)-local sphere. Zbl 1147.55011 Behrens, Mark 5 2007 A modular description of the \(K(2)\)-local sphere at the prime 3. Zbl 1099.55002 Behrens, Mark 24 2006 Root invariants in the Adams spectral sequence. Zbl 1099.55007 Behrens, Mark 6 2006 Isogenies of elliptic curves and the Morava stabilizer group. Zbl 1118.14038 Behrens, Mark; Lawson, Tyler 2 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 9 2004 A new proof of the Bott periodicity theorem. Zbl 0992.55013 Behrens, Mark J. 2 2002 all cited Publications top 5 cited Publications all top 5 Cited by 132 Authors 13 Behrens, Mark Joseph 11 Hill, Michael A. 9 Beaudry, Agnès 9 Xu, Zhouli 8 Meier, Lennart 8 Quigley, James D. 7 Lawson, Tyler Douglas 6 Culver, Dominic Leon 6 Davis, Daniel G. 6 Stojanoska, Vesna 5 Shi, Xiaolin Danny 5 Wang, Guozhen 4 Goerss, Paul G. 4 Hahn, Jeremy 4 Heard, Drew 4 Henn, Hans-Werner 3 Barthel, Tobias 3 Belmont, Eva 3 Bhattacharya, Prasit 3 Bobkova, Irina 3 Hopkins, Michael Jerome 3 Isaksen, Daniel C. 3 Kong, Hana Jia 3 Larson, Donald Matthew 3 Mathew, Akhil 3 Rezk, Charles 3 Shimomura, Katsumi 3 Szymik, Markus 3 Torii, Takeshi 3 Zhu, Yifei 2 Bachmann, Tom 2 Baker, Andrew J. 2 Bunke, Ulrich 2 Egger, Philip 2 Heuts, Gijs 2 Hu, Po 2 Kříž, Igor 2 Laures, Gerd 2 Li, Guchuan 2 Mahowald, Mark W. 2 Naumann, Niko 2 Pham, Viet-Cuong 2 Richter, Birgit 2 Rognes, John 2 Salch, Andrew 2 VanKoughnett, Paul 2 Wilson, Dylan 2 Yuan, Allen 1 Adamyk, Katharine 1 Andrews, Michael J. 1 Angelini-Knoll, Gabriel 1 Antolín-Camarena, Omar 1 Arone, Gregory Z. 1 Bailey, Scott M. 1 Balderrama, William 1 Baues, Hans-Joachim 1 Bergner, Julie 1 Blomquist, Jacobson R. 1 Bokor, Imre 1 Boyde, Guy 1 Brantner, D. Lukas B. 1 Bruner, Robert R. 1 Carlsson, Gunnar E. 1 Chatham, Hood 1 Cho’n, Phan Hoàng 1 Clausen, Dustin 1 Crowley, Diarmuid John 1 Douglas, Christopher L. 1 Dundas, Bjørn Ian 1 Eldred, Rosona 1 Elmanto, Elden 1 Frankland, Martin 1 Friedl, Stefan 1 Ganter, Nora 1 Gerhardt, Teena 1 Greenlees, John P. C. 1 Gregersen, Thomas 1 Gregorič, Rok 1 Harper, John E. 1 Hebestreit, Fabian 1 Hess, Kathryn P. 1 Ho, Hai Nguyen Dang 1 Hollander, Sharon 1 Höning, Eva 1 Ichigi, Ippei 1 Joachimi, Ruth 1 Karamanov, Nasko 1 Kasproswki, Daniel 1 Kasprowski, Daniel 1 Kjaer, Jens Jakob 1 Klang, Inbar 1 Kohlhaase, Jan 1 Kuhn, Nicholas J. 1 Land, Markus 1 Lê Minh Hà 1 Lesh, Kathryn 1 Levy, Ishan 1 Lin, Jianfeng 1 Lorman, Vitaly 1 Mahowald, Mark Edward ...and 32 more Authors all top 5 Cited in 39 Serials 21 Algebraic & Geometric Topology 15 Advances in Mathematics 11 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 9 Geometry & Topology 8 Journal of Topology 6 Journal of Pure and Applied Algebra 6 Topology and its Applications 6 Journal of Homotopy and Related Structures 5 Inventiones Mathematicae 4 Mathematische Zeitschrift 3 Compositio Mathematica 3 Glasgow Mathematical Journal 3 Documenta Mathematica 2 Bulletin of the London Mathematical Society 2 Publications Mathématiques 2 Memoirs of the American Mathematical Society 2 Annals of Mathematics. Second Series 1 Communications in Algebra 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Journal of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 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 the Australian Mathematical Society 1 Journal of \(K\)-Theory 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 Annals of \(K\)-Theory 1 Proceedings of the American Mathematical Society. Series B 1 Transactions of the American Mathematical Society. Series B 1 European Mathematical Society Magazine 1 Communications of the American Mathematical Society all top 5 Cited in 14 Fields 137 Algebraic topology (55-XX) 35 Algebraic geometry (14-XX) 17 Number theory (11-XX) 13 \(K\)-theory (19-XX) 12 Category theory; homological algebra (18-XX) 8 Manifolds and cell complexes (57-XX) 6 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 1 Nonassociative rings and algebras (17-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year