Home
Papers and preprints
Conferences and visits
Talks
Notes: "Uniform homological stability III: the proof of high-connectivity (continued)" (2024, IMAR)
Notes: "Uniform homological stability II: the proof of high-connectivity" (2024, IMAR)
Notes: "Uniform homological stability" (2024, IMAR)
Notes: "Moduli spaces and their fundamental groups: homology, representations and lower central series" (2024, IMAR)
Notes: "Do the dual Miller-Morita-Mumford classes vanish in the homology of the big mapping class group?" (2024, Iași)
Notes: "Are there non-zero compactly-supported homology classes on mapping class groups of infinite-type surfaces? Part II" (2024, IMAR)
Notes: "Do the dual Miller-Morita-Mumford classes vanish in the homology of the big mapping class group?" (2024, Leeds)
Notes (English /French ): "Classes d'homologie à support compact pour les groupes modulaires de surfaces de type infini" (2024, Strasbourg)
Slides: "Configuration spaces and their applications" (2024, Namal) — [Video]
Notes: "Moments of families of quadratic L-functions via scanning" (following the recent preprint of Bergström, Diaconu, Petersen and Westerland) (2023, IMAR)
Notes: "Untwisting Heisenberg homological representations of mapping class groups, II" (2023, IMAR)
Notes: "Untwisting Heisenberg homological representations of mapping class groups, I" (2023, IMAR)
Slides: "Homological mapping class group representations and lower central series" (2023, Pitești)
Notes: "The homology of big mapping class groups" (2023, Cambridge) — [Video] — [YouTube]
Notes: "Homology of big mapping class groups" (2023, Lille)
Notes: "Stability in the topology of configuration spaces" (2023, IMAR)
Slides: "Mapping class group representations via Heisenberg, Schrödinger and Stone-von Neumann" (2022, Oaxaca/online) — [Video]
Slides: "The homology of configuration-section spaces" (2022, Bonn)
Slides: "The homotopy type of the cobordism category (after Galatius, Madsen, Tillmann and Weiss)" (2022, IMAR)
Slides: "Homological stability for asymptotic monopole moduli spaces" (2022, EPFL)
Slides: "Mapping class group representations via Heisenberg, Schrödinger and Stone-von Neumann" (2022, Abu Dhabi) — [Video]
Notes (1 ,2 ,3 ,all ): "Spectrification of Khovanov homology" (2022, IMAR)
Slides: "Mapping class group representations via Heisenberg, Schrödinger and Stone-von Neumann" (2022, Shanghai)
Slides: "Mapping class group representations via Heisenberg and Schrödinger" (2021, IMAR)
Poster: "On homological stability for configuration-section spaces" (2021, Edinburgh)
Notes (1 ,2 ,3 ,4 ,5 ,combined ): "Moduli spaces of high-dimensional discs (after Watanabe, Weiss, Kupers and Randal-Williams)" (2021, IMAR)
Slides: "Representations of the Torelli group via the Heisenberg group" (version with pauses ) (2021, Bucharest)
Slides: "Representations of the Torelli group via the Heisenberg group" (2021, Oxford)
Poster: "On homological stability for configuration-section spaces" (2021, Glasgow)
Slides: "Signature invariants related to the unknotting number" (following a paper of C. Livingston) (2021, Oxford)
Slides (1 ,2 ): "Lower central series of braid-like groups" (2021, IMAR)
Slides: "Manifold calculus and exotic Pontrjagin classes" (à la Weiss) (2020, Oxford)
Slides: "On the different flavours of Lawrence-Bigelow representations" (2020, Moscow-Beijing)
Slides: "Homology of configuration-section spaces" (2020, IMAR)
Slides: "Homology of configuration-section spaces" (2020, Purdue) — [Video]
Slides: "Reidemeister moves for triple-crossing link diagrams" (2020, Moscow) — [Video]
Notes (1 ,2 ,3 ,4 ,5 ): "Kontsevich characteristic classes à la Watanabe" (2020, IMAR)
Notes (1 ,2 ,3 ,4 ): "Kontsevich characteristic classes à la Watanabe" (2020, Oxford)
Slides: "On homological stability for configuration-section spaces" (2020, Oxford)
Slides: "On motivic cohomological stability for configuration spaces" (2020, IMAR)
Slides (onepage , twopage ) and blackboard pictures from a talk at PCMI . (2019, Park City, Utah)
Scanned notes and poster from a talk at the workshop "Loops in Leeds" . (2019, Leeds)
Scanned notes from a talk based on the results of preprint [ 11 ] above. (2018, Salvador)
Slides: "Stability for moduli spaces of submanifolds and diffeomorphism groups" (2018, Skye)
Video: "The coloured Jones function, Vassiliev invariants and the Melvin-Morton-Rozansky expansion of the coloured Jones polynomial" (2018, Matemale, Pyrénées-Orientales)
Poster: "Twisted homological stability and homological representations of braid groups" (2018, CIRM (Luminy))
Slides: "Homology of symmetric diffeomorphism groups of manifolds and diffeomorphism groups of manifolds with singularities" (2016, Lisbon)
Slides: "Homological stability for configuration spaces of disconnected submanifolds" (2013, Lausanne)
Slides: "Configuration spaces and homological stability" (2012, Copenhagen)
Slides: "Homological stability for oriented configuration spaces" (2011, Leicester)
Teaching
Miscellaneous notes
A brief note on a basic but useful fact about relative Borel-Moore homology. (2023)
Notes (1 ,2 ,3 ,4 ,5 ,combined ) from five talks on moduli spaces of high-dimensional discs (after Watanabe, Weiss, Kupers and Randal-Williams) at the GeMAT seminar, IMAR . (2021)
Notes from a reading seminar talk on Signature invariants related to the unknotting number (2021)
Notes from a reading seminar talk on Manifold calculus and exotic Pontrjagin classes (2020)
Notes (1 ,2 ,3 ,4 ,5 ) from five talks on Kontsevich characteristic classes à la Watanabe (slightly expanded from those below) at the e-GeMAT seminar, IMAR . (2020)
Notes (1 ,2 ,3 ,4 ) from four talks on Kontsevich characteristic classes à la Watanabe at a reading seminar at Oxford. (2020)
A brief note on Assertion 6 in Milnor's book on the h-cobordism theorem. (2018)
Short note on the derived series of the group of invertible upper triangular triangular matrices over Z. (2017)
Short note on the derived series of the group of unitriangular matrices over Z. (2017)
Brief description of Ruth Lawrence's construction of representations of surface braid groups. (2017)
Notes on gluing topological spaces via homotopic attaching maps. (2017)
Notes from a talk on polynomial functors from a reading seminar. (2015)
Links
Grant PCE-2020 ( en | ro )
Map