Slides and videos
Carmen Rovi's Dailymotion
videos of topology lectures in Edinburgh and elsewhere.
From Sturm, Sylvester, Witt and Wall to the present day,
Oxford Number Theory Seminar, 28th April, 2016
The roots of polynomials and quadratic forms,
GAMES lecture, School of Mathematics, Edinburgh, 5 February 2016
The number eight in topology,
Imperial College, London, 11-12 June, 2015
Borel Seminar 2014,
Les Diablerets, 2nd July, 2014
Some numerical functions associated to the Maslov index,
The Many Facets of the Maslov Index,
American Institute of Mathematics, Palo Alto, 11th April, 2014
Surgery theory and braids, Warwick Geometry and Topology Seminar, 25th October, 2013
Lectures on algebraic surgery.
Video of Lecture 1, Edinburgh, 20th March, 2013
Video of Lecture 2, Edinburgh, 27th March, 2013
Video of Lecture 3, Edinburgh, 3rd April, 2013
Video of Lecture 4, Edinburgh, 17th April, 2013
Video of Lecture 5, Edinburgh, 24th April, 2013
Video of Lecture 6, Edinburgh, 1st May, 2013
Lectures on transversality in algebra and topology.
Video of Lecture 1, Edinburgh, 6th February, 2013
Video of Lecture 2, Edinburgh, 13th February, 2013
Video of Lecture 3, Edinburgh, 20th February, 2013
Video of Lecture 4, Edinburgh, 27th February, 2013
The cobordism of manifolds with boundary, and its applications to singularities,
Belfast, 7th December, 2012.
The Seifert-van Kampen theorem,
and the classification of surfaces
Edinburgh, 6 December, 2012, slides for an
SMSTC video-conferenced graduate course.
Spectra and assembly in algebraic L-theory
Max Planck Institute for Mathematics, Bonn, 3 December, 2012.
The fundamental group and covering spaces
Edinburgh, 22 November, 2012, slides for an SMSTC video-conferenced graduate course.
On the semicontinuity of the mod 2 spectrum of a hypersurface singularity
Liverpool, 21 June, 2012, Bill Bruce 60 and Terry Wall 75
of the lectures by Diarmuid Crowley, Tibor Macko and A.R. at the
Oberwolfach Seminar on Surgery Theory, 28 May - 1 June, 2012.
on the Manifold Atlas Project.
Lecture about Fritz Hirzebruch (1927-2012):
slides, video. Oberwolfach, 29 May, 2012.
Photo taken by Stefan Friedl at Hirzebruch's last lecture, MPIM, 23 April, 2012.
Bonn General-Anzeiger obituary (9 June, 2012).
New York Times obituary (11 June, 2012)
London Times obituary (22 June, 2012)
London Times tribute by A.Ranicki (29 June, 2012)
London Mathematical Society Newsletter obituary by M.Atiyah (July 2012).
Daily Telegraph obituary (28 August, 2012)
MPIM Hirzebruch Archive.
On Browder's 1962 theorem on the homotopy
types of differentiable manifolds, Edinburgh, 17 May, 2012.
Browder's mathematical ancestors and descendants.
An introduction to exotic spheres and
singularities, Edinburgh, 4 May, 2012.
Algebraic surgery and the links of complex hypersurface singularities
Elmer Rees 70th birthday conference,
Bristol, 20 April 2012
of lectures on Quadratic Forms and Manifolds by A.R. and on Duality and local cohomology by John Greenlees,
Thematic school of homotopy theory, Lille, 2-6 April, 2012
Algebraic surgery in codimension 1 and 2 (Video), Edinburgh, 16 March 2012
A 55 second pitch for surgery theory, Edinburgh, 12 January, 2012
The Poincaré duality theorem and its converse I.
Video of repeat lecture (Edinburgh, 9 March 2012)
The Poincaré duality theorem and its converse II.
of repeat lecture (Edinburgh, 14 March 2012)
Festive Opening Colloquium, Floer Geometry Center, Bochum, 7-8 December, 2011
The classification of surfaces (24 November, 2011)
Video (Part I),
Video (Part II).
Covering spaces and the Galois correspondence (A.R.+V.C.)( 17 November, 2011)
Video of Part I (Vanya Cheltsov)
The Seifert-van Kampen theorem (10 November, 2011)
The Brouwer fixed point theorem and the degree (with apologies to J.Milnor) (10 February, 2011)
The total surgery obstruction, MPIM, Bonn, 20th December, 2010
Quadratic forms and manifolds, Hamburg, 7th December, 2010
Noncommutative localization Pierre Vogel 65th birthday conference, Paris, 27 October 2010
Aspects of quadratic forms in the work of Hirzebruch and Atiyah Edinburgh, 17 September, 2010
Director's cut (longer version), Bonn, 12 October, 2010.
On signatures of knots Durham, 20 June, 2010
Quadratic forms, manifolds and bagels Darmstadt, 28 April, 2010.
Poster by Karl Heinz Hoffman.
Quadratic forms, manifolds and bagels Glasgow, 1 March, 2010
The Maslov index, the signature
and bagels Göttingen, 22 December, 2009.
The original Möbius sliced bagel.
Warning on the dangers of bagel slicing.
Wikipedia article on bagels.
An introduction to the Maslov index in
symplectic topology (with Daniele Sepe)
Maslov index seminar, Edinburgh, 9 November, 2009.
Novikov additivity of the signature,
Wall's nonadditivity and the Maslov index
Maslov index seminar, Edinburgh, 26 October, 2009.
A topologist's view of symmetric and quadratic forms,
given at the
celebrating the 60th birthday of Paddy Patterson, Göttingen,
27-29 July, 2009.
Exact braids and octagons,
given at the
Lewisfest, celebrating the 65th birthday
of David Lewis, University College, Dublin, 23-24 July, 2009.
Michel Kervaire's work in surgery and knot theory,
given at the
Kervaire Memorial Symposium, Geneva, 10-13 February, 2009.
Addendum on Exotic spheres and the Kervaire invariant
Noncommutative localization in
algebra and topology, Knot theory meeting, Heidelberg, 17th December, 2008.
A version of the 2005 Bielefeld lecture with the same title, but
geared to knots and links.
The Hopf invariant in topology and algebra,
Bonn, 21st November, 2008.
H. Hopf, W.K. Clifford and F. Klein by Hans Samelson, from the
History of Topology (ed. I.M. James) (1999).
Algebraic K-theory over the
infinite dihedral group, Aberdeen, 1st May, 2008.
On the Cappell UNil groups, Bloomington, 6th April, 2008.
A composition formula for manifold
structures, Bonn, 4th December, 2007.
The fundamental group and covering spaces,
Notes, Slides for
SMSTC lecture, Edinburgh, 8th November, 2007.
The geometric Hopf invariant.
Abschiedskolloquium Larry Smith, Göttingen, 29 September, 2007.
Nilpotence = torsion
Workshop on Nil phenomena in topology, Vanderbilt, 14th April, 2007
Quadratic structures in surgery theory
C.T.C. Wall's 70'th birthday
Edinburgh, 5th July, 2006
Double points Ian Hambleton+Erik Pedersen 60+60'th
birthday conference, Muenster, 28th June, 2006
The geometric Hopf invariant in surgery theory
Sussex University, 15th June, 2006
The geometric Hopf invariant
5th NRW Topology meeting, Bielefeld, 28th April, 2006
High dimensional manifold topology then and now
3 lectures given at
Larry Siebenmann's retirement conference,
Orsay, 7-9 December, 2005
Blanchfield and Seifert algebra in high-dimensional boundary links,
Edinburgh ICMS, 1 July, 2005
Cobordism in algebra and topology.
Abschiedskolloquium Bob Switzer, Göttingen, 13 May, 2005.
Surgery theory, Cambridge, 28 February, 1 and 3 March, 2005
Noncommutative localization in algebra and topology,
Bielefeld, 11 February, 2005
The signature mod 2,4 and 8,
Oxford, 31 January, 2005
Cohn localization, generalized free
products and boundary links Knots and their manifold stories,
BIRS, Banff, 11 May 2004.
The quadratic form E8 and exotic homology manifolds
Special Session on Geometric Topology in Honor of John Bryant,
AMS Sectional Meeting, Tallahassee, March, 2004
School on high-dimensional manifold topology, ICTP Trieste,
21 May - 8 June, 2001
Foundations of algebraic surgery
The structure set of arbitrary spaces,
the algebraic surgery exact sequence and the total surgery obstruction
Circle valued Morse theory and Novikov homology
Algebraic transversality for topological manifolds
Cutting and pasting manifolds from the algebraic
point of view
AMS Sectional Meeting, Notre Dame, April, 2000.
British Topology Meeting, Oxford, April, 1997.
Surgery on trees
Topology seminar at Oxford, November, 1996.
45 slides on chain duality
Sakado Conference on Surgery and Geometric Topology, September, 1996.
On the work of C.T.C.Wall in topology
Wall 60th Birthday Conference in Liverpool, August, 1996.
Manifolds and duality
Heidelberg, May, 1996 (English version).
Thanks to Andreas Stirnemann for help with preparing the
original German version.