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Author ID: tillmann.ulrike Recent zbMATH articles by "Tillmann, Ulrike"
Published as: Tillmann, Ulrike; Tillmann, U.
Homepage: https://people.maths.ox.ac.uk/tillmann/
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
Documents Indexed: 52 Publications since 1989, including 5 Additional arXiv Preprints
3 Contributions as Editor
Software Indexed: 1 Package
Reviewing Activity: 58 Reviews
Co-Authors: 54 Co-Authors with 35 Joint Publications
1,451 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 322 times in 215 Documents Cited by Year
The homotopy type of the cobordism category. Zbl 1221.57039
Galatius, Søren; Madsen, Ib; Tillmann, Ulrike; Weiss, Michael
70
2009
The stable mapping class group and \(Q(\mathbb C P^ \infty_ +)\). Zbl 1050.55007
Madsen, Ib; Tillmann, Ulrike
33
2001
On the homotopy of the stable mapping class group. Zbl 0891.55019
Tillmann, Ulrike
30
1997
Stratifying multiparameter persistent homology. Zbl 1450.55002
Harrington, Heather A.; Otter, Nina; Schenck, Hal; Tillmann, Ulrike
23
2019
Stripping and splitting decorated mapping class groups. Zbl 0992.57014
Bödigheimer, Carl-Friedrich; Tillmann, Ulrike
18
2001
Infinite loop spaces and nilpotent K-theory. Zbl 1360.55003
Adem, Alejandro; Gómez, José; Lind, John; Tillmann, Ulrike
13
2017
\(S\)-structures for \(k\)-linear categories and the definition of a modular functor. Zbl 0922.57012
Tillmann, Ulrike
12
1998
Divisibility of the stable Miller-Morita-Mumford classes. Zbl 1102.57015
Galatius, Soren; Madsen, Ib; Tillmann, Ulrike
11
2006
Braids, mapping class groups, and categorical delooping. Zbl 1167.55004
Song, Yongjin; Tillmann, Ulrike
10
2007
A splitting for the stable mapping class group. Zbl 0938.55018
Tillmann, Ulrike
9
1999
Higher genus surface operad detects infinite loop spaces. Zbl 0961.55014
Tillmann, Ulrike
8
2000
\(K\)-theory of fine topological algebras, Chern character, and assembly. Zbl 0776.19005
Tillmann, Ulrike
7
1992
Infinite loop spaces from operads with homological stability. Zbl 1391.18012
Basterra, Maria; Bobkova, Irina; Ponto, Kate; Tillmann, Ulrike; Yeakel, Sarah
7
2017
Discrete models for the category of Riemann surfaces. Zbl 0905.55011
Tillmann, Ulrike
6
1997
Homology stability for symmetric diffeomorphism and mapping class groups. Zbl 1371.57024
Tillmann, Ulrike
5
2016
Topology, geometry and quantum field theory. Proceedings of the 2002 Oxford symposium in honour of the 60th birthday of Graeme Segal, Oxford, UK, June 24–29, 2002. Zbl 1076.19001
5
2004
Mapping configuration spaces to moduli spaces. Zbl 1165.32003
Segal, Graeme; Tillmann, Ulrike
5
2008
Inverting operations in operads. Zbl 1391.18013
Basterra, Maria; Bobkova, Irina; Ponto, Kate; Tillmann, Ulrike; Yeakel, Sarah
5
2018
Embeddings of braid groups into mapping class groups and their homology. Zbl 1282.57003
Bödigheimer, Carl-Friedrich; Tillmann, Ulrike
5
2012
Tubular configurations: equivariant scanning and splitting. Zbl 1309.55005
Manthorpe, Richard; Tillmann, Ulrike
4
2014
The fiber of persistent homology for simplicial complexes. Zbl 1502.55006
Leygonie, Jacob; Tillmann, Ulrike
4
2022
On the Farrell cohomology of the mapping class group of non-orientable surfaces. Zbl 1185.57013
Hope, Graham; Tillmann, Ulrike
4
2009
Algebraic topology: applications and new directions. Stanford symposium on algebraic topology: applications and new directions, Stanford University, Stanford, CA, USA, July 23–27, 2012. Proceedings. Zbl 1294.00030
3
2014
Vanishing of universal characteristic classes for handlebody groups and boundary bundles. Zbl 1278.57033
Giansiracusa, Jeffrey; Tillmann, Ulrike
3
2011
The space of barcode bases for persistence modules. Zbl 1518.55004
Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike
3
2023
The classifying space of the \(1+1\) dimensional cobordism catagory. Zbl 0856.18010
Tillmann, Ulrike
2
1996
Vanishing of the Batalin-Vilkovisky algebra structure for TCFTs. Zbl 0939.58011
Tillmann, Ulrike
2
1999
Toward homology operations for mapping class groups. Zbl 0915.55008
Cohen, F. R.; Tillmann, Ulrike
2
1998
Random Čech complexes on manifolds with boundary. Zbl 1529.55006
de Kergorlay, Henry-Louis; Tillmann, Ulrike; Vipond, Oliver
2
2022
A framework for differential calculus on persistence barcodes. Zbl 1507.55008
Leygonie, Jacob; Oudot, Steve; Tillmann, Ulrike
2
2022
Quantum field theory and manifold invariants. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) summer school, Park City, UT, USA, 2019. Zbl 1482.57001
1
2021
Localisations of cobordism categories and invertible TFTs in dimension two. Zbl 1282.57036
Juer, R.; Tillmann, U.
1
2013
Spaces of graphs and surfaces: on the work of Søren Galatius. Zbl 1276.57002
Tillmann, Ulrike
1
2012
Factorization of the (relative) Chern character through Lie algebra homology. Zbl 0784.46057
Tillmann, Ulrike
1
1992
Artin’s map in stable homology. Zbl 1165.20038
Tillmann, Ulrike
1
2007
Mumford’s conjecture – a topological outlook. Zbl 1322.14053
Tillmann, Ulrike
1
2013
Correction to: “The space of barcode bases for persistence modules”. Zbl 1521.55005
Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike
1
2023
Configuration-mapping spaces and homology stability. Zbl 1469.55011
Palmer, Martin; Tillmann, Ulrike
1
2021
Harder-Narasimhan filtrations and zigzag persistence. Zbl 07796448
Fersztand, Marc; Nanda, Vidit; Tillmann, Ulrike
1
2024
Harder-Narasimhan filtrations and zigzag persistence. Zbl 07796448
Fersztand, Marc; Nanda, Vidit; Tillmann, Ulrike
1
2024
The space of barcode bases for persistence modules. Zbl 1518.55004
Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike
3
2023
Correction to: “The space of barcode bases for persistence modules”. Zbl 1521.55005
Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike
1
2023
The fiber of persistent homology for simplicial complexes. Zbl 1502.55006
Leygonie, Jacob; Tillmann, Ulrike
4
2022
Random Čech complexes on manifolds with boundary. Zbl 1529.55006
de Kergorlay, Henry-Louis; Tillmann, Ulrike; Vipond, Oliver
2
2022
A framework for differential calculus on persistence barcodes. Zbl 1507.55008
Leygonie, Jacob; Oudot, Steve; Tillmann, Ulrike
2
2022
Quantum field theory and manifold invariants. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) summer school, Park City, UT, USA, 2019. Zbl 1482.57001
1
2021
Configuration-mapping spaces and homology stability. Zbl 1469.55011
Palmer, Martin; Tillmann, Ulrike
1
2021
Stratifying multiparameter persistent homology. Zbl 1450.55002
Harrington, Heather A.; Otter, Nina; Schenck, Hal; Tillmann, Ulrike
23
2019
Inverting operations in operads. Zbl 1391.18013
Basterra, Maria; Bobkova, Irina; Ponto, Kate; Tillmann, Ulrike; Yeakel, Sarah
5
2018
Infinite loop spaces and nilpotent K-theory. Zbl 1360.55003
Adem, Alejandro; Gómez, José; Lind, John; Tillmann, Ulrike
13
2017
Infinite loop spaces from operads with homological stability. Zbl 1391.18012
Basterra, Maria; Bobkova, Irina; Ponto, Kate; Tillmann, Ulrike; Yeakel, Sarah
7
2017
Homology stability for symmetric diffeomorphism and mapping class groups. Zbl 1371.57024
Tillmann, Ulrike
5
2016
Tubular configurations: equivariant scanning and splitting. Zbl 1309.55005
Manthorpe, Richard; Tillmann, Ulrike
4
2014
Algebraic topology: applications and new directions. Stanford symposium on algebraic topology: applications and new directions, Stanford University, Stanford, CA, USA, July 23–27, 2012. Proceedings. Zbl 1294.00030
3
2014
Localisations of cobordism categories and invertible TFTs in dimension two. Zbl 1282.57036
Juer, R.; Tillmann, U.
1
2013
Mumford’s conjecture – a topological outlook. Zbl 1322.14053
Tillmann, Ulrike
1
2013
Embeddings of braid groups into mapping class groups and their homology. Zbl 1282.57003
Bödigheimer, Carl-Friedrich; Tillmann, Ulrike
5
2012
Spaces of graphs and surfaces: on the work of Søren Galatius. Zbl 1276.57002
Tillmann, Ulrike
1
2012
Vanishing of universal characteristic classes for handlebody groups and boundary bundles. Zbl 1278.57033
Giansiracusa, Jeffrey; Tillmann, Ulrike
3
2011
The homotopy type of the cobordism category. Zbl 1221.57039
Galatius, Søren; Madsen, Ib; Tillmann, Ulrike; Weiss, Michael
70
2009
On the Farrell cohomology of the mapping class group of non-orientable surfaces. Zbl 1185.57013
Hope, Graham; Tillmann, Ulrike
4
2009
Mapping configuration spaces to moduli spaces. Zbl 1165.32003
Segal, Graeme; Tillmann, Ulrike
5
2008
Braids, mapping class groups, and categorical delooping. Zbl 1167.55004
Song, Yongjin; Tillmann, Ulrike
10
2007
Artin’s map in stable homology. Zbl 1165.20038
Tillmann, Ulrike
1
2007
Divisibility of the stable Miller-Morita-Mumford classes. Zbl 1102.57015
Galatius, Soren; Madsen, Ib; Tillmann, Ulrike
11
2006
Topology, geometry and quantum field theory. Proceedings of the 2002 Oxford symposium in honour of the 60th birthday of Graeme Segal, Oxford, UK, June 24–29, 2002. Zbl 1076.19001
5
2004
The stable mapping class group and \(Q(\mathbb C P^ \infty_ +)\). Zbl 1050.55007
Madsen, Ib; Tillmann, Ulrike
33
2001
Stripping and splitting decorated mapping class groups. Zbl 0992.57014
Bödigheimer, Carl-Friedrich; Tillmann, Ulrike
18
2001
Higher genus surface operad detects infinite loop spaces. Zbl 0961.55014
Tillmann, Ulrike
8
2000
A splitting for the stable mapping class group. Zbl 0938.55018
Tillmann, Ulrike
9
1999
Vanishing of the Batalin-Vilkovisky algebra structure for TCFTs. Zbl 0939.58011
Tillmann, Ulrike
2
1999
\(S\)-structures for \(k\)-linear categories and the definition of a modular functor. Zbl 0922.57012
Tillmann, Ulrike
12
1998
Toward homology operations for mapping class groups. Zbl 0915.55008
Cohen, F. R.; Tillmann, Ulrike
2
1998
On the homotopy of the stable mapping class group. Zbl 0891.55019
Tillmann, Ulrike
30
1997
Discrete models for the category of Riemann surfaces. Zbl 0905.55011
Tillmann, Ulrike
6
1997
The classifying space of the \(1+1\) dimensional cobordism catagory. Zbl 0856.18010
Tillmann, Ulrike
2
1996
\(K\)-theory of fine topological algebras, Chern character, and assembly. Zbl 0776.19005
Tillmann, Ulrike
7
1992
Factorization of the (relative) Chern character through Lie algebra homology. Zbl 0784.46057
Tillmann, Ulrike
1
1992
all top 5

Cited by 263 Authors

14 Randal-Williams, Oscar
13 Tillmann, Ulrike
12 Galatius, Søren
9 Ebert, Johannes Felix
5 Krannich, Manuel
5 Palmer, Martin
5 Song, Yongjin
5 Villarreal, Bernardo
4 Freed, Daniel Stuart
4 Kupers, Alexander
4 Nariman, Sam
4 Steimle, Wolfgang
3 Bianchi, Andrea
3 Bubenik, Peter
3 Cegarra, Antonio Martínez
3 Giansiracusa, Jeffrey
3 Gritschacher, Simon Philipp
3 Jiménez Rolland, Rita
3 Lesnick, Michael
3 Madsen, Ib Henning
3 Okay, Cihan
3 Oudot, Steve Yann
3 Raptis, George
3 Soulié, Arthur
3 Wahl, Nathalie
3 Woike, Lukas
2 Akita, Toshiyuki
2 Antolín-Camarena, Omar
2 Basterra, Maria
2 Batanin, Michael A.
2 Berkouk, Nicolas
2 Blumberg, Andrew J.
2 Bobkova, Irina
2 Bökstedt, Marcel
2 Botnan, Magnus Bakke
2 Botvinnik, Boris I.
2 Brightwell, Mark
2 Brochier, Adrien
2 Colin, Nestor
2 Corbet, René
2 Debray, Arun
2 Divasón, Jose
2 Garin, Adélie
2 Guidolin, Andrea
2 Hanbury, Elizabeth
2 Hebestreit, Fabian
2 Huang, Yi-Zhi
2 Inassaridze, Hvedri
2 Jordan, David Andrew
2 Kawazumi, Nariya
2 Kim, Byungchun
2 Leygonie, Jacob
2 Perlmutter, Nathan
2 Ponto, Kate
2 Reinhold, Jens
2 Robertson, Marcy
2 Romero, Ana
2 Sadykov, Rustam
2 Schommer-Pries, Christopher J.
2 Schweigert, Christoph
2 Scoccola, Luis Nerio
2 Snyder, Noah
2 Steinebrunner, Jan
2 Teleman, Constantin
2 Vaccarino, Francesco
2 White, David
2 Xicoténcatl, Miguel A.
2 Yeakel, Sarah
2 Zou, Foling
1 Adem, Alejandro
1 Ammann, Bernd Eberhard
1 Andersen, Jørgen Ellegaard
1 Andreeva, Rayna
1 Aramayona, Javier
1 Baas, Nils Andreas
1 Badea, Cornelia Druţu
1 Bais, Valentina
1 Beers, David
1 Beltramo, Gabriele
1 Bendich, Paul
1 Benini, Marco
1 Bernabeu, Miguel O.
1 Berwick-Evans, Daniel
1 Bick, Christian
1 Błaszczyk, Zbigniew
1 Boavida de Brito, Pedro
1 Bonatto, Luciana Basualdo
1 Boyarchenko, Mitya
1 Bridson, Martin R.
1 Brück, Benjamin
1 Buchet, Mickaël
1 Bunk, Severin
1 Burella, Glen
1 Bux, Kai-Uwe
1 Cai, Chen
1 Calaque, Damien
1 Cantero Morán, Federico
1 Carmona, Victor
1 Carrasco, Pilar C.
1 Carrière, Mathieu
...and 163 more Authors
all top 5

Cited in 85 Serials

27 Algebraic & Geometric Topology
13 Advances in Mathematics
12 Geometry & Topology
11 Journal of Topology
10 Journal of Applied and Computational Topology
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Mathematische Annalen
5 Journal of Pure and Applied Algebra
5 Transactions of the American Mathematical Society
5 Topology and its Applications
4 Inventiones Mathematicae
4 Journal of the London Mathematical Society. Second Series
3 Communications in Mathematical Physics
3 Letters in Mathematical Physics
3 Geometriae Dedicata
3 Mathematische Zeitschrift
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Homotopy and Related Structures
3 SIAM Journal on Applied Algebra and Geometry
2 Acta Mathematica
2 Compositio Mathematica
2 Proceedings of the American Mathematical Society
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 \(K\)-Theory
2 Selecta Mathematica. New Series
2 Annals of Mathematics. Second Series
2 Foundations of Computational Mathematics
2 Oberwolfach Reports
2 Forum of Mathematics, Pi
2 Forum of Mathematics, Sigma
2 Research in the Mathematical Sciences
1 International Journal of Modern Physics A
1 Communications in Algebra
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Nuclear Physics. B
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Bulletin of the London Mathematical Society
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Duke Mathematical Journal
1 Journal of Algebra
1 Journal of Differential Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Science in China. Series A
1 Sugaku Expositions
1 International Journal of Mathematics
1 Computational Geometry
1 Annals of Physics
1 SIAM Review
1 Mathematical Programming. Series A. Series B
1 The Electronic Journal of Combinatorics
1 Documenta Mathematica
1 Transformation Groups
1 Chaos
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Journal of Machine Learning Research (JMLR)
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Journal of Noncommutative Geometry
1 Groups, Geometry, and Dynamics
1 Logical Methods in Computer Science
1 Journal of Topology and Analysis
1 Journal of \(K\)-Theory
1 Confluentes Mathematici
1 Quantum Topology
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Transactions of the London Mathematical Society
1 Mathematics
1 Arnold Mathematical Journal
1 Korean Journal of Mathematics
1 Annales Henri Lebesgue
1 Foundations of Data Science

Citations by Year

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