Edit Profile (opens in new tab) Nikolaus, Thomas Co-Author Distance Author ID: nikolaus.thomas Published as: Nikolaus, Thomas Homepage: https://www.uni-muenster.de/IVV5WS/WebHop/user/nikolaus/index.html External Links: MGP · Google Scholar · MathOverflow Documents Indexed: 44 Publications since 2010, including 8 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 45 Co-Authors with 44 Joint Publications 615 Co-Co-Authors all top 5 Co-Authors 3 single-authored 7 Land, Markus 6 Krause, Achim 5 Antieau, Benjamin 5 Dotto, Emanuele 4 Bunke, Ulrich 4 Hebestreit, Fabian 4 Schweigert, Christoph 4 Waldorf, Konrad 3 Calmès, Baptiste 3 Harpaz, Yonatan 3 Mathew, Akhil 3 Moi, Kristian Jonsson 3 Nardin, Denis 3 Steimle, Wolfgang 2 Bašić, Matija 2 Connes, Alain 2 Gepner, David 2 Hesselholt, Lars 2 Maier, Jennifer 2 Nest, Ryszard 2 Patchkoria, Irakli 2 Scholze, Peter 2 Schreiber, Urs 2 Stevenson, Danny 2 Yu, Guoliang 1 Barthel, Tobias 1 Barwick, Clark 1 Fuchs, Jürgen 1 Glasman, Saul 1 Goerss, Paul G. 1 Haugseng, Rune 1 Hausmann, Markus 1 Lurie, Jacob 1 Morrow, Matthew 1 Naumann, Niko 1 Noel, Justin 1 Rahn, Moritz 1 Sachse, Christoph 1 Sagave, Steffen 1 Schlichting, Marco 1 Stapleton, Nathaniel 1 Szumiło, Karol 1 Tamme, Georg 1 Völkl, Michael 1 Wockel, Christoph all top 5 Serials 4 Algebraic & Geometric Topology 3 Advances in Mathematics 3 Oberwolfach Reports 3 Journal of Homotopy and Related Structures 2 Acta Mathematica 2 Compositio Mathematica 2 Selecta Mathematica. New Series 2 Journal of \(K\)-Theory 1 Communications in Mathematical Physics 1 Reviews in Mathematical Physics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Documenta Mathematica 1 Advances in Theoretical and Mathematical Physics 1 Homology, Homotopy and Applications 1 Journal of Topology all top 5 Fields 24 Algebraic topology (55-XX) 19 \(K\)-theory (19-XX) 16 Category theory; homological algebra (18-XX) 10 Algebraic geometry (14-XX) 6 Associative rings and algebras (16-XX) 6 Differential geometry (53-XX) 5 Commutative algebra (13-XX) 5 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 2 Manifolds and cell complexes (57-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 457 times in 334 Documents Cited by ▼ Year ▼ On topological cyclic homology. Zbl 1457.19007 Nikolaus, Thomas; Scholze, Peter 84 2018 Lax colimits and free fibrations in \(\infty\)-categories. Zbl 1390.18021 Gepner, David; Haugseng, Rune; Nikolaus, Thomas 51 2017 Principal \(\infty \)-bundles: general theory. Zbl 1349.18032 Nikolaus, Thomas; Schreiber, Urs; Stevenson, Danny 41 2015 Universality of multiplicative infinite loop space machines. Zbl 1336.55006 Gepner, David; Groth, Moritz; Nikolaus, Thomas 41 2015 Differential cohomology theories as sheaves of spectra. Zbl 1341.57020 Bunke, Ulrich; Nikolaus, Thomas; Völkl, Michael 27 2016 Four equivalent versions of nonabelian gerbes. Zbl 1286.55006 Nikolaus, Thomas; Waldorf, Konrad 24 2013 Principal \(\infty\)-bundles: presentations. Zbl 1344.18002 Nikolaus, Thomas; Schreiber, Urs; Stevenson, Danny 17 2015 A smooth model for the string group. Zbl 1339.22009 Nikolaus, Thomas; Sachse, Christoph; Wockel, Christoph 17 2013 Equivariance in higher geometry. Zbl 1219.22003 Nikolaus, Thomas; Schweigert, Christoph 16 2011 Algebraic models for higher categories. Zbl 1236.55024 Nikolaus, Thomas 14 2011 Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198 Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph 11 2012 Presentably symmetric monoidal \(\infty\)-categories are represented by symmetric monoidal model categories. Zbl 1380.55018 Nikolaus, Thomas; Sagave, Steffen 10 2017 Lifting problems and transgression for non-abelian gerbes. Zbl 1291.55009 Nikolaus, Thomas; Waldorf, Konrad 10 2013 Hermitian K-theory for stable \(\infty\)-categories. I: Foundations. Zbl 1522.19001 Calmès, Baptiste; Dotto, Emanuele; Harpaz, Yonatan; Hebestreit, Fabian; Land, Markus; Moi, Kristian; Nardin, Denis; Nikolaus, Thomas; Steimle, Wolfgang 10 2023 Bundle gerbes and surface holonomy. Zbl 1195.53043 Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad 9 2010 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 Twisted differential cohomology. Zbl 1447.55005 Bunke, Ulrich; Nikolaus, Thomas 8 2019 On the Blumberg-Mandell Künneth theorem for TP. Zbl 1410.14017 Antieau, Benjamin; Mathew, Akhil; Nikolaus, Thomas 8 2018 On the Beilinson fiber square. Zbl 1508.14017 Antieau, Benjamin; Mathew, Akhil; Morrow, Matthew; Nikolaus, Thomas 7 2022 Cartier modules and cyclotomic spectra. Zbl 1467.14058 Antieau, Benjamin; Nikolaus, Thomas 6 2021 Higher geometry for non-geometric T-duals. Zbl 1433.53039 Nikolaus, Thomas; Waldorf, Konrad 5 2020 Bökstedt periodicity and quotients of DVRs. Zbl 1505.13023 Krause, Achim; Nikolaus, Thomas 5 2022 Topological cyclic homology. Zbl 1473.14038 Hesselholt, Lars; Nikolaus, Thomas 4 2020 On the relation between K- and L-theory of \(C^*\)-algebras. Zbl 1421.19001 Land, Markus; Nikolaus, Thomas 3 2018 \(T\)-duality via gerby geometry and reductions. Zbl 1339.53026 Bunke, Ulrich; Nikolaus, Thomas 3 2015 Localization of cofibration categories and groupoid \(C^\ast\)-algebras. Zbl 1393.55013 Land, Markus; Nikolaus, Thomas; Szumiło, Karol 3 2017 Dendroidal sets as models for connective spectra. Zbl 1323.55009 Bašić, Matija; Nikolaus, Thomas 3 2014 Algebraic \(K\)-theory of planar cuspidal curves. Zbl 1436.19006 Hesselholt, Lars; Nikolaus, Thomas 3 2020 Algebraic \(K\)-theory of \(\infty\)-operads. Zbl 1325.55009 Nikolaus, Thomas 2 2014 Correction to: “On topological cyclic homology”. Zbl 1451.19005 Nikolaus, Thomas; Scholze, Peter 2 2019 On the homotopy type of \(\mathrm{L}\)-spectra of the integers. Zbl 1484.19008 Hebestreit, Fabian; Land, Markus; Nikolaus, Thomas 2 2021 The Beilinson regulator is a map of ring spectra. Zbl 1400.14063 Bunke, Ulrich; Nikolaus, Thomas; Tamme, Georg 2 2018 Hermitian K-theory for stable \(\infty\)-categories. I: Foundations. Zbl 1522.19001 Calmès, Baptiste; Dotto, Emanuele; Harpaz, Yonatan; Hebestreit, Fabian; Land, Markus; Moi, Kristian; Nardin, Denis; Nikolaus, Thomas; Steimle, Wolfgang 10 2023 On the Beilinson fiber square. Zbl 1508.14017 Antieau, Benjamin; Mathew, Akhil; Morrow, Matthew; Nikolaus, Thomas 7 2022 Bökstedt periodicity and quotients of DVRs. Zbl 1505.13023 Krause, Achim; Nikolaus, Thomas 5 2022 Cartier modules and cyclotomic spectra. Zbl 1467.14058 Antieau, Benjamin; Nikolaus, Thomas 6 2021 On the homotopy type of \(\mathrm{L}\)-spectra of the integers. Zbl 1484.19008 Hebestreit, Fabian; Land, Markus; Nikolaus, Thomas 2 2021 Higher geometry for non-geometric T-duals. Zbl 1433.53039 Nikolaus, Thomas; Waldorf, Konrad 5 2020 Topological cyclic homology. Zbl 1473.14038 Hesselholt, Lars; Nikolaus, Thomas 4 2020 Algebraic \(K\)-theory of planar cuspidal curves. Zbl 1436.19006 Hesselholt, Lars; Nikolaus, Thomas 3 2020 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 Twisted differential cohomology. Zbl 1447.55005 Bunke, Ulrich; Nikolaus, Thomas 8 2019 Correction to: “On topological cyclic homology”. Zbl 1451.19005 Nikolaus, Thomas; Scholze, Peter 2 2019 On topological cyclic homology. Zbl 1457.19007 Nikolaus, Thomas; Scholze, Peter 84 2018 On the Blumberg-Mandell Künneth theorem for TP. Zbl 1410.14017 Antieau, Benjamin; Mathew, Akhil; Nikolaus, Thomas 8 2018 On the relation between K- and L-theory of \(C^*\)-algebras. Zbl 1421.19001 Land, Markus; Nikolaus, Thomas 3 2018 The Beilinson regulator is a map of ring spectra. Zbl 1400.14063 Bunke, Ulrich; Nikolaus, Thomas; Tamme, Georg 2 2018 Lax colimits and free fibrations in \(\infty\)-categories. Zbl 1390.18021 Gepner, David; Haugseng, Rune; Nikolaus, Thomas 51 2017 Presentably symmetric monoidal \(\infty\)-categories are represented by symmetric monoidal model categories. Zbl 1380.55018 Nikolaus, Thomas; Sagave, Steffen 10 2017 Localization of cofibration categories and groupoid \(C^\ast\)-algebras. Zbl 1393.55013 Land, Markus; Nikolaus, Thomas; Szumiło, Karol 3 2017 Differential cohomology theories as sheaves of spectra. Zbl 1341.57020 Bunke, Ulrich; Nikolaus, Thomas; Völkl, Michael 27 2016 Principal \(\infty \)-bundles: general theory. Zbl 1349.18032 Nikolaus, Thomas; Schreiber, Urs; Stevenson, Danny 41 2015 Universality of multiplicative infinite loop space machines. Zbl 1336.55006 Gepner, David; Groth, Moritz; Nikolaus, Thomas 41 2015 Principal \(\infty\)-bundles: presentations. Zbl 1344.18002 Nikolaus, Thomas; Schreiber, Urs; Stevenson, Danny 17 2015 \(T\)-duality via gerby geometry and reductions. Zbl 1339.53026 Bunke, Ulrich; Nikolaus, Thomas 3 2015 Dendroidal sets as models for connective spectra. Zbl 1323.55009 Bašić, Matija; Nikolaus, Thomas 3 2014 Algebraic \(K\)-theory of \(\infty\)-operads. Zbl 1325.55009 Nikolaus, Thomas 2 2014 Four equivalent versions of nonabelian gerbes. Zbl 1286.55006 Nikolaus, Thomas; Waldorf, Konrad 24 2013 A smooth model for the string group. Zbl 1339.22009 Nikolaus, Thomas; Sachse, Christoph; Wockel, Christoph 17 2013 Lifting problems and transgression for non-abelian gerbes. Zbl 1291.55009 Nikolaus, Thomas; Waldorf, Konrad 10 2013 Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198 Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph 11 2012 Equivariance in higher geometry. Zbl 1219.22003 Nikolaus, Thomas; Schweigert, Christoph 16 2011 Algebraic models for higher categories. Zbl 1236.55024 Nikolaus, Thomas 14 2011 Bundle gerbes and surface holonomy. Zbl 1195.53043 Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad 9 2010 all cited Publications top 5 cited Publications all top 5 Cited by 329 Authors 24 Sati, Hisham 18 Nikolaus, Thomas 18 Schreiber, Urs 14 Haugseng, Rune 10 Waldorf, Konrad 9 Bunk, Severin 9 Mathew, Akhil 8 Fiorenza, Domenico 8 Woike, Lukas 7 Bunke, Ulrich 7 Grady, Daniel 7 Müller, Lukas 7 Schweigert, Christoph 7 Szabo, Richard J. 6 Bhatt, Bhargav 6 Sämann, Christian 5 Elmanto, Elden 4 Antieau, Benjamin 4 Bachmann, Tom 4 Blumberg, Andrew J. 4 Carmeli, Shachar 4 Chu, Hongyi 4 Harpaz, Yonatan 4 Hebestreit, Fabian 4 Hesselholt, Lars 4 Krepski, Derek 4 Land, Markus 4 Mahanta, Snigdhayan 4 Morrow, Matthew 4 Nuiten, Joost Jakob 4 Patchkoria, Irakli 4 Wilson, Dylan 4 Wockel, Christoph 4 Wolf, Martin 4 Yanovski, Lior 3 Bayındır, Haldun Özgür 3 Bourke, John 3 Clausen, Dustin 3 Dotto, Emanuele 3 Gepner, David 3 Hausmann, Markus 3 Hill, Michael A. 3 Hoyois, Marc 3 Jurčo, Branislav 3 Mazel-Gee, Aaron 3 Moi, Kristian Jonsson 3 Park, Byungdo 3 Rasekh, Nima 3 Roberts, David Michael 3 Schlank, Tomer M. 3 Scholze, Peter 3 Tabuada, Gonçalo 3 Wolfson, Jesse 3 Yuan, Allen 3 Zucchini, Roberto 2 Abellán García, Fernando 2 Alfonsi, Luigi 2 Angelini-Knoll, Gabriel 2 Barthel, Tobias 2 Berman, John D. 2 Branding, Volker 2 Braunack-Mayer, Vincent 2 Bräunling, Oliver 2 Carrick, Christian 2 Chatterjee, Saikat 2 Fuchs, Jürgen 2 Geisser, Thomas H. 2 Gerhardt, Teena 2 Gröchenig, Michael 2 Hahn, Jeremy 2 Hinich, Vladimir 2 Hu, Po 2 Kaledin, Dmitry B. 2 Klang, Inbar 2 Kong, Hana Jia 2 Koushik, Praphulla 2 Kříž, Igor 2 Lanari, Edoardo 2 Linskens, Sil 2 Liu, Ruochuan 2 Mandell, Michael A. 2 Meier, Lennart 2 Morava, Jack Johnson 2 Morin, Adrien 2 Morin, Baptiste 2 Nardin, Denis 2 Osorno, Angélica Maria 2 Péroux, Maximilien 2 Prasma, Matan 2 Quigley, James D. 2 Redden, Corbett 2 Richarz, Timo 2 Riggenbach, Noah 2 Rognes, John 2 Rovelli, Martina 2 Sagave, Steffen 2 Scholbach, Jakob 2 Shah, Jay 2 Sharpe, Eric R. 2 Somberg, Petr ...and 229 more Authors all top 5 Cited in 77 Serials 34 Advances in Mathematics 22 Algebraic & Geometric Topology 18 Journal of Geometry and Physics 17 Journal of Homotopy and Related Structures 15 Journal of Pure and Applied Algebra 12 Communications in Mathematical Physics 11 Theory and Applications of Categories 10 Compositio Mathematica 8 Transactions of the American Mathematical Society 8 Selecta Mathematica. New Series 8 Documenta Mathematica 8 Higher Structures 7 Journal of High Energy Physics 6 Inventiones Mathematicae 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 6 Annals of \(K\)-Theory 5 Reviews in Mathematical Physics 5 Fortschritte der Physik 5 Annals of Mathematics. Second Series 5 Journal of the Institute of Mathematics of Jussieu 4 Journal of Mathematical Physics 4 Annals of Global Analysis and Geometry 4 Journal of the American Mathematical Society 4 Applied Categorical Structures 4 Journal of the European Mathematical Society (JEMS) 4 Oberwolfach Reports 4 Journal of Noncommutative Geometry 4 Forum of Mathematics, Sigma 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Bulletin of the London Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 Topology and its Applications 3 Geometry & Topology 3 Journal of Topology 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 The New York Journal of Mathematics 2 Annales Henri Poincaré 2 Journal of the Australian Mathematical Society 2 Complex Manifolds 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Polonici Mathematici 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Publicacions Matemàtiques 1 MSCS. Mathematical Structures in Computer Science 1 Indagationes Mathematicae. New Series 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Mathematical Physics, Analysis and Geometry 1 Communications in Contemporary Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Journal of \(K\)-Theory 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Japanese Journal of Mathematics. 3rd Series 1 Analysis and Mathematical Physics 1 European Journal for Philosophy of Science 1 Forum of Mathematics, Pi 1 Categories and General Algebraic Structures with Applications 1 Tunisian Journal of Mathematics 1 Communications of the American Mathematical Society all top 5 Cited in 28 Fields 169 Algebraic topology (55-XX) 128 Category theory; homological algebra (18-XX) 89 Algebraic geometry (14-XX) 78 \(K\)-theory (19-XX) 54 Quantum theory (81-XX) 49 Differential geometry (53-XX) 29 Manifolds and cell complexes (57-XX) 27 Global analysis, analysis on manifolds (58-XX) 22 Topological groups, Lie groups (22-XX) 20 Associative rings and algebras (16-XX) 17 Number theory (11-XX) 15 Commutative algebra (13-XX) 12 Group theory and generalizations (20-XX) 11 Nonassociative rings and algebras (17-XX) 9 Functional analysis (46-XX) 9 Relativity and gravitational theory (83-XX) 6 Mathematical logic and foundations (03-XX) 5 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mechanics of particles and systems (70-XX) 2 Computer science (68-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year