**talks and presentations** [single talks only; jump to lecture series below]

*The geometry of the cyclotomic trace*, geometry & topology seminar, UC Irvine, [date TBD]*The geometry of the cyclotomic trace*, topology seminar, Johns Hopkins University, 11/5/2018*The secondary cyclotomic trace*, Mini-conference on topological cyclic homology, Northwestern University, 11/4/2018*The secondary cyclotomic trace*, CATS5, Museo Nacional de História Natural e da Ciência (Lisbon, Portugal), 10/2/2018*The geometry of the cyclotomic trace*, topology seminar, University of Rochester, 9/20/2018*The geometry of the cyclotomic trace*, International Congress of Mathematicians (Rio de Janeiro, Brazil), 8/8/2018*The geometry of the cyclotomic trace*, Infinity-categories, infinity operads, and their applications, CMO (Oaxaca, Mexico), 5/8/2018*The geometry of the cyclotomic trace*, Topology in Australia and South Korea, IBS (Pohang, South Korea), 4/24/2018*Stratified schemes and generalized recollements*, algebra seminar, USC, 3/26/2018*The geometry of the cyclotomic trace, cont.: stratified schemes, generalized recollements, and factorization homology*, Lectures on higher structures and quantisation, Kavli IPMU (Tokyo, Japan), 3/22/2018*The geometry of the cyclotomic trace*, Lectures on higher structures and quantisation, Kavli IPMU (Tokyo, Japan), 3/21/2018*Stratified schemes, genuine equivariant homotopy theory, and the geometry of TC*, topology seminar, UCLA, 3/7/2018*The geometry of the cyclotomic trace*, geometry RTG seminar, Simons Center for Geometry and Physics (Stonybrook, NY), 2/9/2018*The geometry of the cyclotomic trace*, AMS western sectional meeting (special session in homotopy theory), UC Riverside, 11/5/2017*K-theory and traces*, Claremont topology seminar, Pomona College, 10/24/2017*The geometry of the cyclotomic trace*, geometry & topology seminar, USC, 9/11/2017*Beyond the 3rd dimension!*, Guerilla Science tent at the Oregon Eclipse Festival, 8/19/2017*The geometry of the cyclotomic trace*, derived algebraic geometry seminar, Université Toulouse III, 6/16/2017*The geometry of the cyclotomic trace*, topology seminar, UC Berkeley, 5/4/2017*K-theory and traces*, mathematics seminar, Montana State University, 3/6/2017*The geometry of the cyclotomic trace*, topology seminar, Indiana University, 2/23/2017*The geometry of the cyclotomic trace*, topology seminar, Notre Dame, 2/21/2017*The geometry of the cyclotomic trace*, topology seminar, Northwestern, 2/20/2017*The 2016 Nobel prize in physics: topological phases of matter*, Prison Universities Project, San Quentin State Prison, 11/23/2016*Goerss--Hopkins obstruction theory for ∞-categories: a guided tour*, "Operations in highly structured homology theories" workshop, Banff International Research Station, 5/25/2016*Resolution revolution: model categories, ∞-categories, and beyond*, thesis celebration, UC Berkeley, 5/19/2016*Resolution revolution: model categories, ∞-categories, and beyond*, topology seminar, University of Oregon, 5/17/2016*Towards motivic modular forms*, Berkeley-Tokyo winter school, Berkeley, 2/16/2016*Homological integration theory, Feynman diagrams, and the divergence complex, part 2*, Factorization algebras student seminar, Berkeley, 2/11/2016*Homological integration theory, Feynman diagrams, and the divergence complex, part 1*, Factorization algebras student seminar, Berkeley, 2/4/2016*An introduction to elliptic cohomology*, DynaChat seminar, Montana State University, 11/16/2015*Algebra 1, revisited, or: An introduction to algebraic geometry*, Math Things (Formerly Math Grad Seminar (Formerly These Two Hands (Formerly Mountains of Math (Formerly DynaLite)))) seminar, Montana State University, 10/26/2015*The zen of ∞-categories*, DynaChat seminar, Montana State University, 10/19/2015*Poincaré--Koszul duality*, topology progress seminar, Stanford, 12/10/2014*Goerss--Hopkins obstruction theory for ∞-categories (or: An ∞-categorical approach to model categories)*, topology seminar, Ohio State, 12/4/2014*A model-categorical approach to ∞-categories*, pre-seminar talk, Ohio State, 12/3/2014*Goerss--Hopkins obstruction theory for ∞-categories via model ∞-categories*, topology seminar, University of Illinois at Urbana-Champaign, 11/20/2014*Goerss--Hopkins obstruction theory for ∞-categories via model ∞-categories*, topology seminar, University of Chicago, 11/18/2014*Model-categorical aspects of ∞-categories*, topology preseminar, University of Chicago, 11/18/2014*Goerss--Hopkins obstruction theory for ∞-categories*, topology seminar, Stanford University, 10/7/2014*Goerss--Hopkins obstruction theory for ∞-categories*, topology seminar, Johns Hopkins University, 9/29/2014*Goerss--Hopkins obstruction theory for ∞-categories*, topology seminar, Purdue University, 9/24/2014*Some pleasant properties of the ∞-category of simplicial spaces*, Modular Invariants in Topology and Analysis (gong show), Uni Regensburg, 9/9/2014*Goerss--Hopkins obstruction theory for ∞-categories*, Stable Homotopy Theory: Structured Ring Spectra and Their Invariants, University of Manchester, 9/4/2014*Goerss--Hopkins obstruction theory for ∞-categories*, Young Topologists Meeting, Københavns Universitet, 7/2/2014*Algebraic cobordism, algebraic orientations, and motivic Landweber exactness*, post-pre-Talbot seminar, MSRI, 4/21/2014*An introduction to abstract homotopy theory, part 2*, Derived (symplectic) geometry seminar, Berkeley, 3/11/2014*An introduction to abstract homotopy theory*, Derived (symplectic) geometry seminar, Berkeley, 2/25/2014*DG Lie algebras, Lie algebra co/homology, and deformation theory -- the factorization envelope of a local Lie algebra and E*_{n}*enveloping algebras of Lie algebras*, Factorization algebras in quantum field theory seminar, Berkeley, 2/12/2014*Every love story is GHOsT story: Goerss--Hopkins obstruction theory for ∞-categories*, xkcd group, Stanford, 12/10/2013*From model categories to ∞-categories*, pre-MSRI semester seminar, Berkeley, 12/3/2013*Every love story is GHOsT story: Goerss--Hopkins obstruction theory for ∞-categories*, Thursday seminar, Harvard, 11/21/2013*Segal's "Classifying spaces and spectral sequences"*, summer graduate school in algebraic topology, MSRI, 6/24/2013*A motivic Goerss--Hopkins obstruction theory: preliminary report, II*, topology postdoc working group, MIT, 5/13/2013*Gross--Hopkins duality and Pic*(tangents on*Pic-graded homotopy groups*and*The geometry of Gross--Hopkins duality*), Talbot workshop, South Tahoe, CA, 4/25/2013*The chromatic tower*, Talbot workshop, South Tahoe, CA, 4/23/2013*You could've invented tmf*, Underrepresented Students in Topology and Algebra Research Symposium, Purdue, 4/19/2013*The chromatic tower*, Juvitop/pre-Talbot seminar, MIT, 4/17/2013*A motivic Goerss--Hopkins obstruction theory: preliminary report, I*, topology postdoc working group, MIT, 4/8/2013*You could've invented tmf*, geometry and topology seminar, Brown, 2/27/2013*Model categories for algebraists, or: What's *really* going on with injective and projective resolutions, anyways?*, toolbox seminar, Berkeley, 12/14/2012*You could've invented tmf*, xkcd group, Stanford, 12/13/2012*tmf and transchromatic detection via p-adic modular forms*, Graduiertenkolleg Kolloquium, Uni Regensburg, 11/29/2012*Construction of TMF*, Doctoral student seminar on*TMF*, Uni Bonn, 11/22/2012*Dieudonné crystals, p-adic modular forms, and stable homotopy theory*, poster at GAeL XX, Grenoble, France, 6/18/2012*Homotopy (co)limits and n-excisive functors*, Goodwillie calculus Arbeitsgemeinschaft, Uni Bonn, 4/19/2012*Dieudonné modules and the classification of formal groups*, xkcd group, Stanford, 12/6/2011*Nilpotence in stable homotopy theory*, xkcd group, Stanford, 11/10/2011*From Morse theory to Bott periodicity, part 3*, xkcd group, Stanford, 10/13/2011*Introduction to supermanifolds*, 80s math for 80s babies (Witten seminar), Berkeley, 9/27/2011*Fibered categories*, stacks seminar, Berkeley, 9/23/2011*What is elliptic cohomology?*, xkcd group, Berkeley, 9/15/2011*Riemann--Roch for elliptic curves*, Atiyah-Singer index theorem mini conference, Berkeley, 5/16/2011*What To Do When You Have Hungry Hungry Hippos Over For Dinner*, Many cheerful facts seminar, Berkeley, 4/15/2011*From Morse theory to Bott periodicity, part 2*, xkcd group, Stanford, 3/12/2011*From Morse theory to Bott periodicity, part 1*, xkcd group, Berkeley, 2/26/2011*An introduction to spectra*, GRASP seminar, Berkeley, 2/25/2011*The blob complex, first definition*, Blob complex seminar, Berkeley, 2/8/2011*Higher cohomology operations*, xkcd group, Berkeley, 11/16/2010*A spectral sequence for the mapping space [K,X]*, xkcd group, Berkeley, 11/9/2010*The Steenrod algebra and its applications, part 3*, xkcd group, Berkeley, 10/12/2010*The Steenrod algebra and its applications, part 2*, xkcd group, Berkeley, 10/5/2010*The Steenrod algebra and its applications, part 1 (and Vector fields on spheres, part 2)*, xkcd group, Berkeley, 9/28/2010*Vector fields on spheres, part 1*, xkcd group, Berkeley, 9/21/2010*Tropical geometry I*, Tropical geometry & mirror symmetry seminar, Berkeley, 9/2/2010*Envy-free division algorithms: Why nobody should be jealous of anyone else, ever.*, 2009 senior lecture for a general audience, Brown*A cubical antipodal theorem*, lecture and poster at 2008 Joint Math Meetings, San Diego, CA*Maximizing the convex hull of an n-gon in**R*, poster at 2007 Joint Math Meetings, New Orleans, LA^{d}

- 14 x 75min on
*Factorization homology*in "Topics in topology" (Math 641) at USC, Spring 2019 - 4 x 120min on
*Factorization homology and ∞-categories*at CINVESTAV (Mexico City, Mexico), 5/14-18/2018 - 14 x 90min on
*The zen of ∞-categories*in "Seminar ∞" (homotopy theory grad student seminar) at OSU, Fall 2017 - 10 x 80min on
*Locally constant factorization algebras*in "An invitation to factorization algebras" (Math 276) at UC Berkeley, Spring 2016