{"id":7,"date":"2015-05-01T13:35:10","date_gmt":"2015-05-01T13:35:10","guid":{"rendered":"http:\/\/bruno.stonek.com\/?page_id=7"},"modified":"2026-01-29T07:24:54","modified_gmt":"2026-01-29T07:24:54","slug":"notes","status":"publish","type":"page","link":"https:\/\/bruno.stonek.com\/index.php\/notes\/","title":{"rendered":"WRITING"},"content":{"rendered":"<div class=\"titulo1 sep2\">RESEARCH ARTICLES<\/div>\n<hr \/>\n<ul>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2601.17345\">Algebraic models for equivariant rational homotopy theory for discrete groups<\/a>, joint with Jos\u00e9 Manuel Moreno Fern\u00e1ndez. First version: January 2026. Preprint.<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2408.05766\">The motive of a variety with cellular resolution of singularities<\/a>. First version: August 2024. Published in Fundamenta Mathematicae, August 2025, <a href=\"https:\/\/doi.org\/10.4064\/fm240903-9-7\">https:\/\/doi.org\/10.4064\/fm240903-9-7<\/a><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2005.01382\">The cotangent complex and Thom spectra<\/a>, joint with Nima Rasekh. First version: May 2020. Published in Abhandlungen aus dem Mathematischen Seminar der Universit\u00e4t Hamburg, January 2021, <a href=\"https:\/\/doi.org\/10.1007\/s12188-020-00226-8\">https:\/\/doi.org\/10.1007\/s12188-020-00226-8<\/a><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1911.04345\" target=\"_blank\" rel=\"noopener noreferrer\">Thom spectra, higher <em>THH<\/em> and tensors in \u221e-categories<\/a>, joint with Nima Rasekh and Gabriel Valenzuela. First version: November 2019. Published in Algebraic &amp; Geometric Topology, October 2022, <a href=\"https:\/\/doi.org\/10.2140\/agt.2022.22:4\">https:\/\/doi.org\/10.2140\/agt.2022.22:4<\/a><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1801.00156\" target=\"_blank\" rel=\"noopener noreferrer\">Higher\u00a0topological Hochschild homology of periodic complex K-theory<\/a>. First version: December 2017. Published in Topology and its Applications, August 2020,\u00a0<a href=\"https:\/\/doi.org\/10.1016\/j.topol.2020.107302\">https:\/\/doi.org\/10.1016\/j.topol.2020.107302\u00a0<\/a><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1702.02984\" target=\"_blank\" rel=\"noopener noreferrer\">Graded multiplications on iterated bar constructions<\/a>. First version: February 2017. Published in An Alpine Bouquet of Algebraic Topology, Contemporary Mathematics, vol. 708, Amer. Math. Soc., Providence, RI, 2018, pp. 245-274, <a href=\"https:\/\/doi.org\/10.1090\/conm\/708\">https:\/\/doi.org\/10.1090\/conm\/708<\/a><\/li>\n<\/ul>\n<div class=\"titulo1 sep2\">DISSERTATIONS<\/div>\n<hr \/>\n<ul>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/tesis.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">PhD dissertation<\/a> (December 8, 2017): On higher and iterated topological Hochschild homology (<a href=\"https:\/\/bruno.stonek.com\/tesis-slides.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">slides<\/a>). Universit\u00e9 Paris 13. Supervisor: Christian Ausoni.<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/memoire.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Master&#8217;s dissertation (2014)<\/a>: An algebraic description of the algebraic K-theory groups. Universit\u00e9 Paris 13. Supervisor: Christian Ausoni.<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/monografia.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Bachelor&#8217;s dissertation (2012)<\/a>: Functores adjuntos y teoremas de adjunci\u00f3n. In Spanish (<a href=\"https:\/\/bruno.stonek.com\/presentacion.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">slides<\/a>) (<a href=\"https:\/\/bruno.stonek.com\/adenda.pdf\">addenda<\/a>). Universidad de la Rep\u00fablica (Uruguay). Supervisor: Walter Ferrer Santos.<\/li>\n<\/ul>\n<p><!-- --><\/p>\n<div class=\"titulo1 sep2\">COURSE MATERIAL<\/div>\n<hr \/>\n<ul>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/stable-online.pdf\">Introduction to Stable Homotopy Theory<\/a>. 104 pages. Notes for a one-semester course, 2 hours a week. Spring 2022. <a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/exercises-1.pdf\">Exercise sheet 1<\/a> , <a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/exercises-2.pdf\">Exercise sheet 2<\/a>, <a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/exercises-3.pdf\">Exercise sheet 3<\/a>, <a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/exercises-4.pdf\">Exercise sheet 4<\/a>, <a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/exercises-5.pdf\">Exercise sheet 5<\/a>, <a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/exercises-6.pdf\">Exercise sheet 6<\/a>, <a href=\"https:\/\/bruno.stonek.com\/stable-homotopy-2022\/exercises-7.pdf\">Exercise sheet 7<\/a><\/li>\n<\/ul>\n<p><!-- --><\/p>\n<div class=\"titulo1 sep2\">NOTES<\/div>\n<hr \/>\n<ul>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/smash.pdf\">Lurie&#8217;s construction of the smash product of spectra<\/a> (notes for an expository talk. November 2022)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/monoids.pdf\">Monoids<\/a> (notes for a talk at the quasicategories study seminar at University of Warsaw, motivating the concept of a symmetric monoidal quasicategory. November 2017)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/doldthom.pdf\">Homotopy, homology, and the Dold-Thom theorem<\/a> (sketchy notes for two talks at the PhD student seminar in Universit\u00e9 Paris 13. March 2016)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/characteristic.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Fiber bundles and characteristic classes<\/a> (notes for a talk series at the 2015 summer school &#8220;Ma\u0142e Ciche Niskowymiarowe&#8221;)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/talbot.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Higher and iterated topological Hochschild homology<\/a> (notes for a talk at the 2015 European Talbot)<\/li>\n<li><a href=\"https:\/\/bruno.stonek.com\/thh.pdf\">THH and the monadic bar construction<\/a> (notes for a seminar talk, 2014)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/kspectrum.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">A construction of the K-theory spectrum of a ring<\/a> (for a course examination, 2014)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/proyecto.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">El proceso de formalizaci\u00f3n de la l\u00f3gica matem\u00e1tica &#8211; la crisis de la geometr\u00eda eucl\u00eddea<\/a> (examination for an Epistemology kind of course, 2011. In Spanish.)<\/li>\n<\/ul>\n<p><!-- --><\/p>\n<div class=\"sep2\"><\/div>\n<div><span class=\"titulo1\">COURSE NOTES <\/span><span class=\"once\">(or more accurately, notes more or less inspired by courses I took as a student. In Spanish.)<\/span><\/div>\n<hr \/>\n<ul>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/ordenado.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">C\u00e1lculo III<\/a> (Differentiable manifolds and differential forms; geometry of curves and surfaces)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/geometria.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Introducci\u00f3n a la geometr\u00eda diferencial<\/a> (Differential topology, Gauss-Bonnet theorem, introduction to Riemannian geometry)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/algebra.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">\u00c1lgebra II<\/a> (group theory, fields and Galois theory, representations of finite groups)<\/li>\n<\/ul>\n<p><!-- --><\/p>\n<div class=\"sep2\"><\/div>\n<div class=\"titulo1\"><span class=\"titulo1\">OLD STUFF<\/span><span class=\"once\"> (mostly memory dumps: use at your own risk! In Spanish.)<\/span><\/div>\n<hr \/>\n<ul>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/algo.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Hacia la arcada del \u00e1lgebra homol\u00f3gica<\/a> (una introducci\u00f3n a las categor\u00edas abelianas)<\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/exactas.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Empalme-factorizaci\u00f3n de sucesiones exactas y exactitud de functores<\/a><\/li>\n<li class=\"sep1\"><a href=\"https:\/\/bruno.stonek.com\/uniforme.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Una breve introducci\u00f3n a los espacios uniformes<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>RESEARCH ARTICLES Algebraic models for equivariant rational homotopy theory for discrete groups, joint with Jos\u00e9 Manuel Moreno Fern\u00e1ndez. First version: January 2026. Preprint. The motive of a variety with cellular resolution of singularities. First version: August 2024. Published in Fundamenta&hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":20,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/pages\/7"}],"collection":[{"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/comments?post=7"}],"version-history":[{"count":80,"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/pages\/7\/revisions"}],"predecessor-version":[{"id":277,"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/pages\/7\/revisions\/277"}],"wp:attachment":[{"href":"https:\/\/bruno.stonek.com\/index.php\/wp-json\/wp\/v2\/media?parent=7"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}