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talks and presentations [single and two-part talks only; jump to lecture series below]

  1. An (∞,4)-category, Conference on (∞,n)-categories and their applications, University of Utrecht (Utrecht, Netherlands), 4/16/2024
  2. A mathematical introduction to the transformer architecture, International workshop on AI and topology, Københavns Universitet (Copenhagen, Denmark), 4/10/2024
  3. Stratified noncommutative geometry, ∞-categories [topics course] (guest lecture), U of Oregon, 5/19/2023
  4. Towards knot homology for 3-manifolds, geometry/topology seminar, UC Irvine, 3/13/2023
  5. Towards knot homology for 3-manifolds, Lie theory seminar, UC Riverside, 1/24/2023
  6. Towards knot homology for 3-manifolds, Higher structures seminar, Bogazici University (Istanbul, Turkey), 11/8/2022
  7. Towards knot homology for 3-manifolds, Higher categories and categorification, part two, Instituto de Matemáticas, UNAM (Cuernavaca, Mexico), 6/16/2022
  8. Towards knot homology for 3-manifolds, Workshop on derived geometry, Centre de Recerca Matemàtica (Barcelona, Spain), 6/9/2022
  9. Towards knot homology for 3-manifolds, topology seminar, UCLA, 5/6/2022
  10. Towards knot homology for 3-manifolds, graduate student geometry and topology conference, Georgia Tech, 4/2/2022
  11. Towards knot homology for 3-manifolds, Claremont topology seminar, Pomona College, 3/22/2022
  12. Towards knot homology for 3-manifolds, topology seminar, Johns Hopkins University, 3/7/2022
  13. Derived Mackey functors and Cpn-equivariant cohomology via stratifications, electronic computational homotopy theory seminar, 1/27/2022
  14. Reflection in algebra and topology, math physics seminar, Perimeter Institute, 12/15/2021
  15. Towards knot homology for 3-manifolds, geometry, topology, and categorification seminar, USC, 11/15/2021
  16. Reflection in algebra and topology, algebra & geometry seminar, Caltech, 11/1/2021
  17. Reflection in algebra and topology, geometry & topology seminar, Caltech, 10/1/2021
  18. K-theory and traces, frontiers in mathematics (math 20), Caltech, 9/28/2021
  19. Reflection in algebra and topology, mathematics seminar, Montana State University, 9/20/2021
  20. Category O, Soergel bimodules, and the Kazhdan--Lusztig conjectures, BZR seminar, UT Austin, 12/18/2020
  21. Stratifications in algebra and topology, higher categories and categorification seminar, MSRI, 5/11/2020
  22. Enriched factorization homology in dimension 1, factorization homology seminar, MSRI, 4/2/2020
  23. Secondary algebraic K-theory and traces, workshop on (∞,n)-categories, factorization homology, and algebraic K-theory, MSRI, 3/26/2020
  24. Secondary algebraic K-theory and traces, AMS eastern sectional meeting (special session on homotopy theory and algebraic K-theory), Binghamton University, 10/13/2019
  25. Factorization homology, Quantum field theory and manifold invariants (research program), PCMI (Park City, UT), 7/8/2019
  26. Stratified noncommutative geometry, genuine representation theory, and higher category theory, MathConnections 2019: geometry, representation theory, and category theory, UC Riverside, 5/18/2019
  27. The geometry of the cyclotomic trace, cont.: stratified noncommutative geometry, geometry & topology seminar, Caltech, 5/17/2019
  28. The geometry of the cyclotomic trace, geometry & topology seminar, Caltech, 5/17/2019
  29. The geometry of the cyclotomic trace, topology seminar, UC Riverside, 5/2/2019
  30. The geometry of the cyclotomic trace, geometry & topology seminar, UC Irvine, 4/1/2019
  31. The geometry of the cyclotomic trace, topology seminar, Johns Hopkins University, 11/5/2018
  32. The secondary cyclotomic trace, Mini-conference on topological cyclic homology, Northwestern University, 11/4/2018
  33. The secondary cyclotomic trace, CATS5, Museo Nacional de História Natural e da Ciência (Lisbon, Portugal), 10/2/2018
  34. The geometry of the cyclotomic trace, topology seminar, University of Rochester, 9/20/2018
  35. The geometry of the cyclotomic trace, International Congress of Mathematicians (Rio de Janeiro, Brazil), 8/8/2018
  36. The geometry of the cyclotomic trace, Infinity-categories, infinity operads, and their applications, CMO (Oaxaca, Mexico), 5/8/2018
  37. The geometry of the cyclotomic trace, Topology in Australia and South Korea, IBS (Pohang, South Korea), 4/24/2018
  38. Stratified schemes and generalized recollements, algebra seminar, USC, 3/26/2018
  39. 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
  40. The geometry of the cyclotomic trace, Lectures on higher structures and quantisation, Kavli IPMU (Tokyo, Japan), 3/21/2018
  41. Stratified schemes, genuine equivariant homotopy theory, and the geometry of TC, topology seminar, UCLA, 3/7/2018
  42. The geometry of the cyclotomic trace, geometry RTG seminar, Simons Center for Geometry and Physics (Stonybrook, NY), 2/9/2018
  43. The geometry of the cyclotomic trace, AMS western sectional meeting (special session in homotopy theory), UC Riverside, 11/5/2017
  44. K-theory and traces, Claremont topology seminar, Pomona College, 10/24/2017
  45. The geometry of the cyclotomic trace, geometry & topology seminar, USC, 9/11/2017
  46. Beyond the 3rd dimension!, Guerilla Science tent at the Oregon Eclipse Festival, 8/19/2017
  47. The geometry of the cyclotomic trace, derived algebraic geometry seminar, Université Toulouse III, 6/16/2017
  48. The geometry of the cyclotomic trace, topology seminar, UC Berkeley, 5/4/2017
  49. K-theory and traces, mathematics seminar, Montana State University, 3/6/2017
  50. The geometry of the cyclotomic trace, topology seminar, Indiana University, 2/23/2017
  51. The geometry of the cyclotomic trace, topology seminar, Notre Dame, 2/21/2017
  52. The geometry of the cyclotomic trace, topology seminar, Northwestern, 2/20/2017
  53. The 2016 Nobel prize in physics: topological phases of matter, Prison Universities Project, San Quentin State Prison, 11/23/2016
  54. Goerss--Hopkins obstruction theory for ∞-categories: a guided tour, "Operations in highly structured homology theories" workshop, Banff International Research Station, 5/25/2016
  55. Resolution revolution: model categories, ∞-categories, and beyond, thesis celebration, UC Berkeley, 5/19/2016
  56. Resolution revolution: model categories, ∞-categories, and beyond, topology seminar, University of Oregon, 5/17/2016
  57. Towards motivic modular forms, Berkeley-Tokyo winter school, Berkeley, 2/16/2016
  58. Homological integration theory, Feynman diagrams, and the divergence complex, part 2, Factorization algebras student seminar, Berkeley, 2/11/2016
  59. Homological integration theory, Feynman diagrams, and the divergence complex, part 1, Factorization algebras student seminar, Berkeley, 2/4/2016
  60. An introduction to elliptic cohomology, DynaChat seminar, Montana State University, 11/16/2015
  61. 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
  62. The zen of ∞-categories, DynaChat seminar, Montana State University, 10/19/2015
  63. Poincaré--Koszul duality, topology progress seminar, Stanford, 12/10/2014
  64. Goerss--Hopkins obstruction theory for ∞-categories (or: An ∞-categorical approach to model categories), topology seminar, Ohio State, 12/4/2014
  65. A model-categorical approach to ∞-categories, pre-seminar talk, Ohio State, 12/3/2014
  66. Goerss--Hopkins obstruction theory for ∞-categories via model ∞-categories, topology seminar, University of Illinois at Urbana-Champaign, 11/20/2014
  67. Goerss--Hopkins obstruction theory for ∞-categories via model ∞-categories, topology seminar, University of Chicago, 11/18/2014
  68. Model-categorical aspects of ∞-categories, topology preseminar, University of Chicago, 11/18/2014
  69. Goerss--Hopkins obstruction theory for ∞-categories, topology seminar, Stanford University, 10/7/2014
  70. Goerss--Hopkins obstruction theory for ∞-categories, topology seminar, Johns Hopkins University, 9/29/2014
  71. Goerss--Hopkins obstruction theory for ∞-categories, topology seminar, Purdue University, 9/24/2014
  72. Some pleasant properties of the ∞-category of simplicial spaces, Modular Invariants in Topology and Analysis (gong show), Uni Regensburg, 9/9/2014
  73. Goerss--Hopkins obstruction theory for ∞-categories, Stable Homotopy Theory: Structured Ring Spectra and Their Invariants, University of Manchester, 9/4/2014
  74. Goerss--Hopkins obstruction theory for ∞-categories, Young Topologists Meeting, Københavns Universitet, 7/2/2014
  75. Algebraic cobordism, algebraic orientations, and motivic Landweber exactness, post-pre-Talbot seminar, MSRI, 4/21/2014
  76. An introduction to abstract homotopy theory, part 2, Derived (symplectic) geometry seminar, Berkeley, 3/11/2014
  77. An introduction to abstract homotopy theory, Derived (symplectic) geometry seminar, Berkeley, 2/25/2014
  78. DG Lie algebras, Lie algebra co/homology, and deformation theory -- the factorization envelope of a local Lie algebra and En enveloping algebras of Lie algebras, Factorization algebras in quantum field theory seminar, Berkeley, 2/12/2014
  79. Every love story is GHOsT story: Goerss--Hopkins obstruction theory for ∞-categories, xkcd group, Stanford, 12/10/2013
  80. From model categories to ∞-categories, pre-MSRI semester seminar, Berkeley, 12/3/2013
  81. Every love story is GHOsT story: Goerss--Hopkins obstruction theory for ∞-categories, Thursday seminar, Harvard, 11/21/2013
  82. Segal's "Classifying spaces and spectral sequences", summer graduate school in algebraic topology, MSRI, 6/24/2013
  83. A motivic Goerss--Hopkins obstruction theory: preliminary report, II, topology postdoc working group, MIT, 5/13/2013
  84. 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
  85. The chromatic tower, Talbot workshop, South Tahoe, CA, 4/23/2013
  86. You could've invented tmf, Underrepresented Students in Topology and Algebra Research Symposium, Purdue, 4/19/2013
  87. The chromatic tower, Juvitop/pre-Talbot seminar, MIT, 4/17/2013
  88. A motivic Goerss--Hopkins obstruction theory: preliminary report, I, topology postdoc working group, MIT, 4/8/2013
  89. You could've invented tmf, geometry and topology seminar, Brown, 2/27/2013
  90. Model categories for algebraists, or: What's *really* going on with injective and projective resolutions, anyways?, toolbox seminar, Berkeley, 12/14/2012
  91. You could've invented tmf, xkcd group, Stanford, 12/13/2012
  92. tmf and transchromatic detection via p-adic modular forms, Graduiertenkolleg Kolloquium, Uni Regensburg, 11/29/2012
  93. Construction of TMF, Doctoral student seminar on TMF, Uni Bonn, 11/22/2012
  94. Dieudonné crystals, p-adic modular forms, and stable homotopy theory, poster at GAeL XX, Grenoble, France, 6/18/2012
  95. Homotopy (co)limits and n-excisive functors, Goodwillie calculus Arbeitsgemeinschaft, Uni Bonn, 4/19/2012
  96. Dieudonné modules and the classification of formal groups, xkcd group, Stanford, 12/6/2011
  97. Nilpotence in stable homotopy theory, xkcd group, Stanford, 11/10/2011
  98. From Morse theory to Bott periodicity, part 3, xkcd group, Stanford, 10/13/2011
  99. Introduction to supermanifolds, 80s math for 80s babies (Witten seminar), Berkeley, 9/27/2011
  100. Fibered categories, stacks seminar, Berkeley, 9/23/2011
  101. What is elliptic cohomology?, xkcd group, Berkeley, 9/15/2011
  102. Riemann--Roch for elliptic curves, Atiyah-Singer index theorem mini conference, Berkeley, 5/16/2011
  103. What To Do When You Have Hungry Hungry Hippos Over For Dinner, Many cheerful facts seminar, Berkeley, 4/15/2011
  104. From Morse theory to Bott periodicity, part 2, xkcd group, Stanford, 3/12/2011
  105. From Morse theory to Bott periodicity, part 1, xkcd group, Berkeley, 2/26/2011
  106. An introduction to spectra, GRASP seminar, Berkeley, 2/25/2011
  107. The blob complex, first definition, Blob complex seminar, Berkeley, 2/8/2011
  108. Higher cohomology operations, xkcd group, Berkeley, 11/16/2010
  109. A spectral sequence for the mapping space [K,X], xkcd group, Berkeley, 11/9/2010
  110. The Steenrod algebra and its applications, part 3, xkcd group, Berkeley, 10/12/2010
  111. The Steenrod algebra and its applications, part 2, xkcd group, Berkeley, 10/5/2010
  112. The Steenrod algebra and its applications, part 1 (and Vector fields on spheres, part 2), xkcd group, Berkeley, 9/28/2010
  113. Vector fields on spheres, part 1, xkcd group, Berkeley, 9/21/2010
  114. Tropical geometry I, Tropical geometry & mirror symmetry seminar, Berkeley, 9/2/2010
  115. Envy-free division algorithms: Why nobody should be jealous of anyone else, ever., 2009 senior lecture for a general audience, Brown
  116. A cubical antipodal theorem, lecture and poster at 2008 Joint Math Meetings, San Diego, CA
  117. Maximizing the convex hull of an n-gon in Rd, poster at 2007 Joint Math Meetings, New Orleans, LA
lecture series

  1. 3 x 90min on Stratifications in algebra and topology in GRT seminar at Caltech, Spring 2021
  2. 4 x 90min on How to draw Soergel bimodules in GRT learning seminar at Caltech, Winter 2021
  3. 30 x 75min on Factorization homology in "Topics in topology" (Math 641) at USC, Spring 2019
  4. 4 x 120min on Factorization homology and ∞-categories at CINVESTAV (Mexico City, Mexico), 5/14-18/2018
  5. 14 x 90min on The zen of ∞-categories in "Seminar ∞" (homotopy theory grad student seminar) at OSU, Fall 2017
  6. 10 x 80min on Locally constant factorization algebras in "An invitation to factorization algebras" (Math 276) at UC Berkeley, Spring 2016