Edit Profile (opens in new tab) Barthel, Tobias Co-Author Distance Author ID: barthel.tobias Published as: Barthel, Tobias Documents Indexed: 51 Publications since 2011, including 15 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 37 Co-Authors with 47 Joint Publications 565 Co-Co-Authors all top 5 Co-Authors 5 single-authored 17 Heard, Drew 10 Stapleton, Nathaniel 7 Castellana, Natàlia 7 Valenzuela, Gabriel 6 Sanders, Beren 4 Krause, Henning 4 Naumann, Niko 4 Schlank, Tomer M. 3 Beaudry, Agnès 3 Stojanoska, Vesna 2 Antolín-Camarena, Omar 2 Balchin, Scott 2 Greenlees, John P. C. 2 Hausmann, Markus 2 Keller, Bernhard 2 Pol, Luca 2 Riehl, Emily 1 Antieau, Benjamin 1 Arone, Gregory Z. 1 Barnes, David 1 Benson, David John 1 Berwick-Evans, Daniel 1 Bousfield, A. K. 1 Carmeli, Shachar 1 Eisert, Jens 1 Frankland, Martin 1 Gepner, David 1 Goerss, Paul G. 1 Gogolin, Christian 1 Hahn, Jeremy 1 Heuts, Gijs 1 Iyengar, Srikanth B. 1 Kastoryano, Michael J. 1 Kliesch, Martin 1 May, Jon Peter 1 Meier, Lennart 1 Nikolaus, Thomas 1 Noel, Justin 1 Pevtsova, Julia 1 Pstrągowski, Piotr 1 Weinstein, Jared 1 Yanovski, Lior all top 5 Serials 3 Advances in Mathematics 3 Mathematische Zeitschrift 3 Algebraic & Geometric Topology 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Journal of Pure and Applied Algebra 2 Proceedings of the American Mathematical Society 2 Geometry & Topology 1 Israel Journal of Mathematics 1 American Journal of Mathematics 1 Manuscripta Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Algebras and Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Homology, Homotopy and Applications 1 The Quarterly Journal of Mathematics 1 Oberwolfach Reports 1 Journal of Homotopy and Related Structures 1 Journal of Topology 1 Cambridge Journal of Mathematics all top 5 Fields 40 Algebraic topology (55-XX) 16 Category theory; homological algebra (18-XX) 10 Algebraic geometry (14-XX) 8 Commutative algebra (13-XX) 7 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 3 \(K\)-theory (19-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 170 times in 120 Documents Cited by ▼ Year ▼ Six model structures for DG-modules over DGAs: model category theory in homological action. Zbl 1342.16006 Barthel, Tobias; May, J. P.; Riehl, Emily 20 2014 Local duality in algebra and topology. Zbl 1403.55008 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 16 2018 A simple universal property of Thom ring spectra. Zbl 1417.55007 Antolín-Camarena, Omar; Barthel, Tobias 15 2019 On the construction of functorial factorizations for model categories. Zbl 1268.18001 Barthel, Tobias; Riehl, Emily 14 2013 Local duality for structured ring spectra. Zbl 1384.55008 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 9 2018 The Balmer spectrum of the equivariant homotopy category of a finite abelian group. Zbl 1417.55016 Barthel, Tobias; Hausmann, Markus; Naumann, Niko; Nikolaus, Thomas; Noel, Justin; Stapleton, Nathaniel 9 2019 Completed power operations for Morava \(E\)-theory. Zbl 1326.55018 Barthel, Tobias; Frankland, Martin 8 2015 Centralizers in good groups are good. Zbl 1365.55001 Barthel, Tobias; Stapleton, Nathaniel 8 2016 The \(E_{2}\)-term of the \(K(n)\)-local \(E_{n}\)-Adams spectral sequence. Zbl 1348.55008 Barthel, Tobias; Heard, Drew 7 2016 Stratification and duality for homotopical groups. Zbl 1426.55017 Barthel, Tobias; Castellana, Natàlia; Heard, Drew; Valenzuela, Gabriel 7 2019 Chromatic structures in stable homotopy theory. Zbl 1476.55026 Beaudry, Agnès; Barthel, Tobias 7 2020 Chromatic homotopy theory is asymptotically algebraic. Zbl 1442.55002 Barthel, Tobias; Schlank, Tomer M.; Stapleton, Nathaniel 6 2020 The algebraic chromatic splitting conjecture for Noetherian ring spectra. Zbl 1476.55025 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 5 2018 Constructing the determinant sphere using a Tate twist. Zbl 1493.55012 Barthel, Tobias; Beaudry, Agnès; Goerss, Paul G.; Stojanoska, Vesna 5 2022 Completing perfect complexes. With appendices by Tobias Barthel and Bernhard Keller. Zbl 1455.18009 Krause, Henning 4 2020 Derived completion for comodules. Zbl 1436.55018 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 4 2020 On localization sequences in the algebraic \(K\)-theory of ring spectra. Zbl 1457.19006 Antieau, Benjamin; Barthel, Tobias; Gepner, David 3 2018 On the Balmer spectrum for compact Lie groups. Zbl 1431.55012 Barthel, Tobias; Greenlees, J. P. C.; Hausmann, Markus 3 2020 Chromatic completion. Zbl 1402.55005 Barthel, Tobias 2 2016 Brown-Peterson cohomology from Morava \(E\)-theory. Zbl 1373.55002 Barthel, Tobias; Stapleton, Nathaniel 2 2017 The character of the total power operation. Zbl 1360.55004 Barthel, Tobias; Stapleton, Nathaniel 2 2017 Transfer ideals and torsion in the Morava \(E\)-theory of abelian groups. Zbl 1512.55008 Barthel, Tobias; Stapleton, Nathaniel 2 2020 On the comparison of stable and unstable \(p\)-completion. Zbl 1410.55005 Barthel, Tobias; Bousfield, A. K. 2 2019 Algebraic chromatic homotopy theory for \(BP_\ast BP\)-comodules. Zbl 1412.55005 Barthel, Tobias; Heard, Drew 2 2018 Gross-Hopkins duals of higher real K-theory spectra. Zbl 1426.55001 Barthel, Tobias; Beaudry, Agnès; Stojanoska, Vesna 2 2019 On conjectures of Hovey-Strickland and Chai. Zbl 1515.14054 Barthel, Tobias; Heard, Drew; Naumann, Niko 2 2022 Auslander-Reiten sequences, Brown-Comenetz duality, and the \(K(n)\)-local generating hypothesis. Zbl 1380.55008 Barthel, Tobias 1 2017 Monochromatic homotopy theory is asymptotically algebraic. Zbl 1483.55005 Barthel, Tobias; Schlank, Tomer M.; Stapleton, Nathaniel 1 2021 A short introduction to the telescope and chromatic splitting conjectures. Zbl 1459.55005 Barthel, Tobias 1 2020 Local Gorenstein duality for cochains on spaces. Zbl 1451.55007 Barthel, Tobias; Castellana, Natàlia; Heard, Drew; Valenzuela, Gabriel 1 2021 Power operations in the Stolz-Teichner program. Zbl 1512.55011 Barthel, Tobias; Berwick-Evans, Daniel; Stapleton, Nathaniel 1 2022 Stratification and the comparison between homological and tensor triangular support. Zbl 07693372 Barthel, Tobias; Heard, Drew; Sanders, Beren 1 2023 Chromatic fracture cubes. Zbl 1485.55012 Antolín-Camarena, Omar; Barthel, Tobias 1 2022 Stratification in tensor triangular geometry with applications to spectral Mackey functors. Zbl 1524.18032 Barthel, Tobias; Heard, Drew; Sanders, Beren 1 2023 Stratification and the comparison between homological and tensor triangular support. Zbl 07693372 Barthel, Tobias; Heard, Drew; Sanders, Beren 1 2023 Stratification in tensor triangular geometry with applications to spectral Mackey functors. Zbl 1524.18032 Barthel, Tobias; Heard, Drew; Sanders, Beren 1 2023 Constructing the determinant sphere using a Tate twist. Zbl 1493.55012 Barthel, Tobias; Beaudry, Agnès; Goerss, Paul G.; Stojanoska, Vesna 5 2022 On conjectures of Hovey-Strickland and Chai. Zbl 1515.14054 Barthel, Tobias; Heard, Drew; Naumann, Niko 2 2022 Power operations in the Stolz-Teichner program. Zbl 1512.55011 Barthel, Tobias; Berwick-Evans, Daniel; Stapleton, Nathaniel 1 2022 Chromatic fracture cubes. Zbl 1485.55012 Antolín-Camarena, Omar; Barthel, Tobias 1 2022 Monochromatic homotopy theory is asymptotically algebraic. Zbl 1483.55005 Barthel, Tobias; Schlank, Tomer M.; Stapleton, Nathaniel 1 2021 Local Gorenstein duality for cochains on spaces. Zbl 1451.55007 Barthel, Tobias; Castellana, Natàlia; Heard, Drew; Valenzuela, Gabriel 1 2021 Chromatic structures in stable homotopy theory. Zbl 1476.55026 Beaudry, Agnès; Barthel, Tobias 7 2020 Chromatic homotopy theory is asymptotically algebraic. Zbl 1442.55002 Barthel, Tobias; Schlank, Tomer M.; Stapleton, Nathaniel 6 2020 Completing perfect complexes. With appendices by Tobias Barthel and Bernhard Keller. Zbl 1455.18009 Krause, Henning 4 2020 Derived completion for comodules. Zbl 1436.55018 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 4 2020 On the Balmer spectrum for compact Lie groups. Zbl 1431.55012 Barthel, Tobias; Greenlees, J. P. C.; Hausmann, Markus 3 2020 Transfer ideals and torsion in the Morava \(E\)-theory of abelian groups. Zbl 1512.55008 Barthel, Tobias; Stapleton, Nathaniel 2 2020 A short introduction to the telescope and chromatic splitting conjectures. Zbl 1459.55005 Barthel, Tobias 1 2020 A simple universal property of Thom ring spectra. Zbl 1417.55007 Antolín-Camarena, Omar; Barthel, Tobias 15 2019 The Balmer spectrum of the equivariant homotopy category of a finite abelian group. Zbl 1417.55016 Barthel, Tobias; Hausmann, Markus; Naumann, Niko; Nikolaus, Thomas; Noel, Justin; Stapleton, Nathaniel 9 2019 Stratification and duality for homotopical groups. Zbl 1426.55017 Barthel, Tobias; Castellana, Natàlia; Heard, Drew; Valenzuela, Gabriel 7 2019 On the comparison of stable and unstable \(p\)-completion. Zbl 1410.55005 Barthel, Tobias; Bousfield, A. K. 2 2019 Gross-Hopkins duals of higher real K-theory spectra. Zbl 1426.55001 Barthel, Tobias; Beaudry, Agnès; Stojanoska, Vesna 2 2019 Local duality in algebra and topology. Zbl 1403.55008 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 16 2018 Local duality for structured ring spectra. Zbl 1384.55008 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 9 2018 The algebraic chromatic splitting conjecture for Noetherian ring spectra. Zbl 1476.55025 Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel 5 2018 On localization sequences in the algebraic \(K\)-theory of ring spectra. Zbl 1457.19006 Antieau, Benjamin; Barthel, Tobias; Gepner, David 3 2018 Algebraic chromatic homotopy theory for \(BP_\ast BP\)-comodules. Zbl 1412.55005 Barthel, Tobias; Heard, Drew 2 2018 Brown-Peterson cohomology from Morava \(E\)-theory. Zbl 1373.55002 Barthel, Tobias; Stapleton, Nathaniel 2 2017 The character of the total power operation. Zbl 1360.55004 Barthel, Tobias; Stapleton, Nathaniel 2 2017 Auslander-Reiten sequences, Brown-Comenetz duality, and the \(K(n)\)-local generating hypothesis. Zbl 1380.55008 Barthel, Tobias 1 2017 Centralizers in good groups are good. Zbl 1365.55001 Barthel, Tobias; Stapleton, Nathaniel 8 2016 The \(E_{2}\)-term of the \(K(n)\)-local \(E_{n}\)-Adams spectral sequence. Zbl 1348.55008 Barthel, Tobias; Heard, Drew 7 2016 Chromatic completion. Zbl 1402.55005 Barthel, Tobias 2 2016 Completed power operations for Morava \(E\)-theory. Zbl 1326.55018 Barthel, Tobias; Frankland, Martin 8 2015 Six model structures for DG-modules over DGAs: model category theory in homological action. Zbl 1342.16006 Barthel, Tobias; May, J. P.; Riehl, Emily 20 2014 On the construction of functorial factorizations for model categories. Zbl 1268.18001 Barthel, Tobias; Riehl, Emily 14 2013 all cited Publications top 5 cited Publications all top 5 Cited by 128 Authors 19 Barthel, Tobias 15 Heard, Drew 8 Stapleton, Nathaniel 8 Valenzuela, Gabriel 6 Beaudry, Agnès 5 Schlank, Tomer M. 5 Williamson, Jordan 4 Balchin, Scott 4 Culver, Dominic Leon 4 Gaucher, Philippe 4 Pol, Luca 4 Stojanoska, Vesna 4 Xu, Zhouli 3 Behrens, Mark Joseph 3 Berwick-Evans, Daniel 3 Blumberg, Andrew J. 3 Castellana, Natàlia 3 Goerss, Paul G. 3 Greenlees, John P. C. 3 Hill, Michael A. 3 Naisse, Grégoire 3 Rasekh, Nima 3 Vaz, Pedro 2 Beardsley, Jonathan 2 Belmont, Eva 2 Booth, Matthew 2 Garner, Richard 2 Hahn, Jeremy 2 Hausmann, Markus 2 Krause, Henning 2 Krishnan, Sanjeevi 2 Li, Guchuan 2 Mandell, Michael A. 2 Mathew, Akhil 2 Morava, Jack Johnson 2 Naumann, Niko 2 Nikolaus, Thomas 2 Pstrągowski, Piotr 2 Shaul, Liran 2 Shi, Xiaolin Danny 2 Stonek, Bruno 2 Wang, Guozhen 1 Anastopoulos, Angelos 1 Bachmann, Tom 1 Balderrama, William 1 Balmer, Paul 1 Bayındır, Haldun Özgür 1 Benson, David John 1 Berglund, Alexander 1 Bhattacharya, Prasit 1 Binda, Federico 1 Bourke, John 1 Calmès, Baptiste 1 Cameron, James C. 1 Carmeli, Shachar 1 Christ, Merlin 1 Clausen, Dustin 1 Descotte, María Emilia 1 Devalapurkar, Sanath 1 Dotto, Emanuele 1 Dubuc, Eduardo J. 1 Fresse, Benoit 1 Gambino, Nicola 1 Gregorič, Rok 1 Gwilliam, Owen 1 Harpaz, Yonatan 1 Haugseng, Rune 1 Hebestreit, Fabian 1 Henn, Hans-Werner 1 Hess, Kathryn P. 1 Hopkins, Michael Jerome 1 Huan, Zhen 1 Hutchinson, Samuel M. A. 1 Iwanari, Isamu 1 Iyengar, Srikanth B. 1 Kong, Hana Jia 1 Krause, Achim 1 Kříž, Igor 1 Lacabanne, Abel 1 Land, Markus 1 Larrea, Marco Federico 1 Levy, Ishan 1 Li, Ang 1 Lundemo, Tommy 1 Mao, Zhouhang 1 Marsh, Samuel J. 1 Minami, Norihiko 1 Moi, Kristian Jonsson 1 Nardin, Denis 1 Negron, Cris 1 Noel, Justin 1 North, Paige Randall 1 Ogle, Crichton 1 Ormsby, Kyle M. 1 Osorno, Angélica Maria 1 Østvær, Paul Arne 1 Park, Doosung 1 Patchkoria, Irakli 1 Pevtsova, Julia 1 Quigley, James D. ...and 28 more Authors all top 5 Cited in 43 Serials 15 Journal of Pure and Applied Algebra 9 Advances in Mathematics 8 Algebraic & Geometric Topology 7 Mathematische Zeitschrift 6 Transactions of the American Mathematical Society 5 Compositio Mathematica 5 Selecta Mathematica. New Series 5 Geometry & Topology 5 Journal of Homotopy and Related Structures 4 Inventiones Mathematicae 4 Topology and its Applications 4 Journal of Topology 3 Annals of \(K\)-Theory 2 Israel Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Journal of Algebra 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Applied Categorical Structures 2 Theory and Applications of Categories 2 Annals of Mathematics. Second Series 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 The Journal of Symbolic Logic 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 MSCS. Mathematical Structures in Computer Science 1 The New York Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Quantum Topology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Sigma 1 Proceedings of the American Mathematical Society. Series B 1 Categories and General Algebraic Structures with Applications 1 Tunisian Journal of Mathematics all top 5 Cited in 19 Fields 93 Algebraic topology (55-XX) 46 Category theory; homological algebra (18-XX) 28 Algebraic geometry (14-XX) 18 Commutative algebra (13-XX) 14 Associative rings and algebras (16-XX) 11 Group theory and generalizations (20-XX) 10 \(K\)-theory (19-XX) 7 Manifolds and cell complexes (57-XX) 5 Quantum theory (81-XX) 4 Computer science (68-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year