Slides and videos

  • Carmen Rovi's Dailymotion and YouTube 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, ECSTATIC conference, Imperial College, London, 11-12 June, 2015
  • Algebraic transversality, 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
  • Videos of the lectures by Diarmuid Crowley, Tibor Macko and A.R. at the Oberwolfach Seminar on Surgery Theory, 28 May - 1 June, 2012.
    Conference website 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). English translation.
    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. Video.
    Browder's mathematical ancestors and descendants.
  • An introduction to exotic spheres and singularities, Edinburgh, 4 May, 2012. Video.
  • Algebraic surgery and the links of complex hypersurface singularities
    Elmer Rees 70th birthday conference, Bristol, 20 April 2012
  • Videos 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. Video of repeat lecture (Edinburgh, 14 March 2012)
    Festive Opening Colloquium, Floer Geometry Center, Bochum, 7-8 December, 2011
  • SMSTC lectures.
    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) Video
    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 Patterson 60++, 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 (May 2009).
  • 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.
    π3(S2), 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 conference, 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. Video.
  • 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
  • Notes Slides Foundations of algebraic surgery
  • Notes Slides The structure set of arbitrary spaces, the algebraic surgery exact sequence and the total surgery obstruction
  • Notes Slides 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.
  • Algebraic transversality 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.