Homepage for Ulrike Tillmann

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:

....Faces of Mathematics

For the topology research group see there:

For the Centre for Quantum Mathematics and Computation see there:

....QMAC

For the OAC-Manifolds network site see there:

....OAC

Publications

Preprints and recent publications

Cohomology Theories in Encyclopaedia of Mathematical Physics , (2006), 545-553
The homotopy type of the cobordism category (joint S. Galatius, I. Madsen, M.Weiss) Acta Math. 202 (2009), no. 2, 195-239
Braids, mapping class groups, and categorical delooping (joint Y. Song) Math. Ann. 339 (2007), no. 2, 377-393
Artin's map in stable homology, Bull. Lond. Math. Soc. 39 (2007), no. 6, 989-992
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
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
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
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
Spaces of graphs and surfaces Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 73-90
Mumford's conjecture - a topological outlook Handbook of Moduli Spaces 2012
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
Localisations of cobordism categories and invertible TFTs in dimension two (joint R. Juer) Homology, Homotopy and Applications, 15(2), 2013, 1-31
Tubular configurations: equivariant scanning and splitting (joint R. Manthorpe) Journal of the London Mathematical Society,90, 2014, 640-662
Infinite loop spaces and nilpotent K-theory (joint A. Adem, J.M. Gomez, J. Lund)
A roadmap for the computation of persistent homology (joint N. Otter, M. Porter, P. Grindrod, H. Harrington)
Homology stability for symmetric diffeomorphisms and mapping class groups Math. Proc. Cam. Phil. Soc.

Presentations

Slides for my talk at the AMS-Current Events Bulletin, New Orleans 2011
Slides for my talk at the Abel Conference in honor of J. Milnor, IMA 2012
Slides for my talk at the Stanford Symposium in honor of G. Carlsson, R. Cohen and I. Madsen, 2012
Slides for my talk at The Legacy of Daniel Quillen, MIT 2012
Slides for my talk at the Joint BMC/BAMC 150th LMS meeting, Cambridge 2015
Lecture 1 Lecture 2 2016 V Congreso Latinoamericano de Matematicos

Journals

The Quarterly Journal of Mathematics

Conference/Workshops

Teaching

Mathematics at Merton College

Section c: Algebraic Topology; for the unofficial course webpage click here.

Section c: Lie Groups; for the unofficial course webpage click here

Part A: Number Theory; for the unofficial course webpage click here

MSc: Computational Algebraic Topology; for the unofficial course webpage click here

Topology Advanced Class; for the advanced classes webpage click here

Research Students

Paul Higgins, New York
Tilman Bauer, KTH Stockholm (MSc)
Paolo Salvatore, Rome
Paul Mitchener, Sheffield (jointly supervised by J. Roe)
Nathalie Wahl, Copenhagen
Chris Douglas, Oxford (MSc)
Catarina Carvalho, Lisbon (jointly supervised by V. Nistor)
Graham Hope, Oxford
Jeff Giansiracusa, Swansea
Liz Hanbury, Durham
George Raptis, Regensburg
Oscar Randal-Williams, Cambridge
Martin Palmer, Muenster
Richard Manthorpe, London (MSc)
Rozy Juer, London (MSc)
Hongyun Yon, Oxford
Simon Gritschacher, Oxford
Nina Otter, Oxford (jointly supervised by Heather Harrington)
Renee Hoekzema, Oxford