Ulrike Tillmann
Address: Mathematical Institute, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG, UK
E-mail: tillmann_at_maths.ox.ac.uk
Phone: 44-1865-273572
For photos and research summaries see:
For the topology research group see there:
For the Centre for Quantum Mathematics and Computation see there:
For the OAC-Manifolds network site see there:
For the Centre for Topological Data Analysis site see there:
Preprints and recent publications
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Cohomology Theories
in
Encyclopaedia of Mathematical Physics , (2006), 545-553
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The homotopy type of the cobordism category
(joint S. Galatius,
I. Madsen, M.Weiss) Acta Math. 202 (2009), no. 2, 195-239
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Braids, mapping class groups, and categorical delooping
(joint Y. Song)
Math. Ann. 339 (2007), no. 2, 377-393
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Artin's map in stable homology,
Bull. Lond. Math. Soc. 39 (2007), no. 6, 989-992
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Mapping configuration spaces to moduli spaces
(joint with G. Segal)
Groups of diffeomorphisms, 469-477, Adv. Stud. Pure Math., 52, Math. Soc. Japan, Tokyo, 2008
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On the Farrell cohomolgoy of the mapping class group of non-orientable surfaces
(joint G. Hope) Proc. Amer. Math. Soc. 137 (2009), no. 1, 393-400
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The representation of the mapping class group of a surface on its
fundamental group in stable homology
Q. J. Math. 61 (2010), no. 3, 373-380
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Vanishing of the universal charcteristic classes for handlebody groups and
boundary bundles
(joint J Giansiracusa)
J. Homotopy Relat. Struct. 6 (2011), no. 1, 103-112
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Spaces of graphs and surfaces
Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 73-90
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Mumford's conjecture - a topological outlook
Handbook of Moduli Spaces 2012
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Embeddings of braid into mapping class groups and their homology
(joint C.-F. Boedigheimer)
in Configuration Spaces: Geometry, Combinatorics and Topology 2012 Sco. Norm. Sup. Pisa, 173-191
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Localisations of cobordism categories and invertible TFTs in dimension two
(joint R. Juer)
Homology, Homotopy and Applications, 15(2), 2013, 1-31
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Tubular configurations: equivariant scanning and splitting
(joint R. Manthorpe)
Journal of the London Mathematical Society,90, 2014, 640-662
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Infinite loop spaces and nilpotent K-theory
(joint A. Adem, J.M. Gomez, J. Lund)
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A roadmap for the computation of persistent homology
(joint N. Otter, M. Porter, P. Grindrod, H. Harrington)
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Homology stability for symmetric diffeomorphisms and mapping class groups
Math. Proc. Cam. Phil. Soc.
Presentations
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Slides for my talk at the AMS-Current Events Bulletin, New Orleans 2011
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Slides for my talk at the Abel Conference in honor of J. Milnor, IMA 2012
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Slides for my talk at the Stanford Symposium in honor of G. Carlsson, R. Cohen and I. Madsen, 2012
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Slides for my talk at The Legacy of Daniel Quillen, MIT 2012
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Slides for my talk at the Joint BMC/BAMC 150th LMS meeting, Cambridge 2015
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Lecture 1
Lecture 2 2016 V Congreso Latinoamericano de Matematicos
Journals
Conference/Workshops
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Topology and geometry of moduli spaces, AIM 2005
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Launch Meeting for the Journal of Topology, Oxford 2007
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Moduli spaces, Bonn 2008 (winter school and conference)
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25th Nordic and 1st British-Nordic Congress of Mathematicians, Oslo 2009
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ICWM, Hyderabad 2010
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Applied Topology Day, Monday February 28, 2011
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Memorial Meeting for Dan Quillen (1940-2011), Oxford 2011
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Homotopy Algebra and its Applications, Luminy 2012
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Algebraic Topology: applications and new directions, Stanford Symposium 2012
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Segal 70th: Aspects of Topology in Geometry and Physics, Oxford 2012
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Higher Structures in Topology and Number Theory, Oxford 2013
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CAT 2015: Topological Data Analysis, Oxford
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Research School 7-11 September on Computational Algebraic Topology, Oxford 2015
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Alan Turing Institute scoping workshop on TDA, Oxford 2015
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Algebraic Topology: manifolds unlocking higher structures, Clay workshop 2015
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Weiss 60th: Topology of Manifolds, Lisbon 2016
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Topology in Ecuador, Galapagos 2017
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CMI-LMS Research School: Algebraic Topology of Manifolds, Oxford 2017
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Topological data analysis of exclusion zones, Edinburgh 2017
Teaching
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Mathematics at Merton College
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Section c: Algebraic Topology;
for the unofficial course webpage click
here.
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Section c: Lie Groups;
for the unofficial course webpage click
here
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Part A: Number Theory;
for the unofficial course webpage click
here
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MSc: Computational Algebraic Topology;
for the unofficial course webpage click
here
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Topology Advanced Class;
for the advanced classes webpage click
here
Research Students
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Paul Higgins, New York
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Tilman Bauer, KTH Stockholm (MSc)
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Paolo Salvatore, Rome
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Paul Mitchener, Sheffield
(jointly supervised by J. Roe)
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Nathalie Wahl, Copenhagen
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Chris Douglas, Oxford (MSc)
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Catarina Carvalho, Lisbon (jointly supervised by V. Nistor)
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Graham Hope, Oxford
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Jeff Giansiracusa, Swansea
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Liz Hanbury, Durham
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George Raptis, Regensburg
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Oscar Randal-Williams, Cambridge
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Martin Palmer, Muenster
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Richard Manthorpe, London (MSc)
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Rozy Juer, London (MSc)
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Hongyun Yon, Oxford
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Simon Gritschacher, Oxford
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Nina Otter, Oxford
(jointly supervised by Heather Harrington)
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Renee Hoekzema, Oxford
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Tomas Zeman
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Barbara Mahler
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Jan Steinebrunner
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Luciana Bonatto
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Oliver Vipond