If you don't remember if I'm the person you saw speaking at a particular occasion, feel free to e-mail and I can confirm (if I remember!).

Beyond mathematics

I occasionally help with discussions on matters beyond my research. I have been asked to lead or participate in discussions to help student activism at various institutions including Brown, Rice, and Harvard. I have also led workshops on public speaking and am occasionally asked about my (fairly unspectacular) path through mathematics.

Lecture Series

• Higher algebra in geometry. Eight-lecture 集中講義 (intensive course) at iTHEMS at RIKEN in Japan. Jul 2023.
• Spectra, Operads, and infinity-categories. Notes available upon request. Seven-lecture course at University of British Columbia, part of Séminaire de Mathématiques Supérieures 2022: Floer Homotopy Theory (Summer School). Jul 2022.
• An introduction to Floer theory and spectra. Lectures at Floer Homology Bootcamp, Fields Institute. Dec 2019.
• Broken techniques for disappearing things. Lectures at Workshop on Homological Mirror Symmetry, Logic and Sand-Piles (IMSA, Miami). Sep 2019.
• Factorization homology, infinity-categories, and topological field theories. Notes are now a book. Mini-course at Geometric representation theory and low-dimensional topology (ICMS, Edinburgh). Jun 2019.
• What in the world is a spectrum?. Five lectures at MSRI 2019. Mar 2019.
• Stacks controlling Floer theory and Morse theory (working title). Mini-course for CATS 5 Conference. Sep 2018.
• Morse theory and a stack of broken lines. Two-lecture series at Higher Categories and Mirror Symmetry Conference, Korea Institute for Advanced Study (KIAS). Dec 2017.
• Introduction to oo-categories, Lagrangian Cobordisms and Fukaya categories. Lecture series at CGP in Pohang, Korea. Dec 2016.
• Floer theory through spectra. Two-lecture series at CMSA's Mini-workshop on SYZ and Homological Mirror Symmetry. Nov 2016.
• Introduction to factorization homology. Four-lecture mini-course at Higher Structures in Geometry and Physics in Bonn, Germany. Oct 2015.
• Lecture series on various topics including Lagrangian cobordisms, Factorization homology, and Bridgeland stability conditions. CGP IBS in Pohang, Korea. Feb 2014.

Conference Talks

• Toward a higher algebra of symplectic geometry. Workshop on Mirror Symmetry and Related Topics, Kyoto University. Dec 2023.
• Breaking everything to cohere everything. CU Boulder Topology Day. May 2023.
• Universal Properties in Symplectic Geometry. Derived Geometry Workshop at Centre de Recerca Matematica (Barcelona). Jun 2022.
• Stable Weinstein geometry through localizations. BU-Keio-Tsinghua Workshop 2022. Jun 2022.
• Floer homotopy theory (panelist in panel discussion). Western Hemisphere Virtual Symplectic Seminar (online). Nov 2021.
• Fukaya categories and stable homotopy theory. Viva Talbot!. Jun 2021.
• Higher homotopical structures in symplectic geometry. AMS Spring Western Sectional Special Session on Connections between homotopical algebra and geometry. May 2021.
• Broken lines and Floer theory over spectra. IRP HHS Opening Workshop at CRM Barcelona. Feb 2021.
• New interactions between symplectic geometry and stable homotopy theory. 8th East Asian Conference on Algebraic Topology (EACAT 8). Dec 2020.
• Broken techniques for enriching Floer theory over spectra. Homotopy Theory Symposium (Japan). Nov 2020.
• The paracyclic geometry of Fukaya categories. (oo,n)-categories, factorization homology, and algebraic K-theory, MSRI (online). Mar 2020.
• An introduction to Floer theory and spectra. Lectures at Floer Homology Bootcamp, Fields Institute. Dec 2019.
• A stack of broken cycles and the K-theory of Fukaya categories. Workshop on Higher Structures in Geometry and Physics, Fields Institute. Nov 2019.
• Broken techniques for disappearing things. Lectures at Workshop on Homological Mirror Symmetry, Logic and Sand-Piles (IMSA, Miami). Sep 2019.
• Factorization homology, infinity-categories, and topological field theories. Notes are now a book. Mini-course at Geometric representation theory and low-dimensional topology (ICMS, Edinburgh). Jun 2019.
• Broken techniques for disappearing things. Current Directions in Homotopical Algebra (CGP Pohang, Korea). May 2019.
• Associativity out of Morse theory. YamCats Meeting 17. Nov 2018.
• Stacks controlling Floer theory and Morse theory (working title). Mini-course for CATS 5 Conference. Sep 2018.
• Morse theory and a stack of broken lines. 3rd KTGU Mathematics Workshop for Young Researchers (Kyoto University). Feb 2018.
• Morse theory and a stack of broken lines. Two-lecture series at Higher Categories and Mirror Symmetry Conference, Korea Institute for Advanced Study (KIAS). Dec 2017.
• Morse theory and a stack of broken lines. Lie theory and mathematical physics, MIT. Aug 2017.
• Morse theory and a stack of broken lines. Topological and Algebraic Advances in QFT, Varese, Italy. Aug 2017.
• Factorization homology. Topological and Algebraic Advances in QFT, Varese, Italy. Aug 2017.
• Morse theory and a stack of broken lines. Floer homology and homotopy theory, UCLA. Jul 2017.
• Morse theory and a stack of broken lines. Field Theories and Higher Structures in Mathematics and Physics, Casa Matematica de Oaxaca. Jun 2017.
• Homotopy theory and Symplectic topology. Cornell Topology Festival (overlapped with Cornell colloquium/Oliver Club). May 2017.
• Floer theory through spectra. Two-lecture series at CMSA's Mini-workshop on SYZ and Homological Mirror Symmetry. Nov 2016.
• Lagrangian Cobordisms and Fukaya Categories. AMS Sectionals Special Session on Topology and Physics, University of St. Thomas, Minneapolis, MN. Oct 2016.
• How Lagrangian cobordisms should recover Floer theory. Benjamin Peirce Fellowship Centennial Conference, Harvard University. Jun 2016.
• Topological Field Theories and knot invariants. Brown University Symposium for Undergraduates in the Mathematical Sciences (SUMS). Mar 2016.
• Lagrangian Cobordisms and Fukaya Categories. Opening Conference for the Program on Higher Structures in Geometry and Physics, MPIM Bonn. Jan 2016.
• Introduction to factorization homology. Four-lecture mini-course at Higher Structures in Geometry and Physics in Bonn, Germany. Oct 2015.
• Factorization homology. Algebraic Methods topical session at International Congress of Mathematical Physics in Santiago, Chile. Aug 2015.
• Ring spectrum of Lagrangian cobordisms, and Fukaya Categories. Workshop on Homotopy theory, manifolds, and field theories, MPIM Bonn. Jun 2015.
• Toward Fukaya categories over arbitrary coefficients. Workshop on SYZ mirror symmetry and related topics, CMSA, Harvard University. May 2015.
• Cobordisms, Floer cohomology, and mirror symmetry over ring spectra. Young faculty speaker, Graduate Student Topology and Geometry Conference, UIUC, United States. Mar 2015.
• Factorization homology. Higher Structures in Geometry and Physics 2014, Geneva. Oct 2014.
• Lagrangian cobordisms and the Fukaya category. Plenary speaker, ICM Satellite Conference on Mirror Symmetry, Pohang, South Korea. Aug 2014.
• Bridgeland stability conditions and the s-dot construction. Plenary speaker, Tom Goodwillie's Birthday Conference, Dubrovnik, Croatia. Jun 2014.
• Bridgeland stability conditions and the s-dot construction. UC Riverside AMS Sectional. Nov 2013.
• Bridgeland stability conditions and the s-dot construction. UC Riverside AMS Western Fall Sectional Meeting, Special Session on Homotopy Theory and K-Theory. Nov 2013.
• Factorization homology and link invariants. Les Houches. Feb 2012.
• A Stable (\infty,1)-category of Lagrangian Cobordisms. Invited Talk, FRG Simons Workshop, SUNY Stony Brook, New York. Aug 2010.

Seminar Talks (by topic)

• A stable homotopy invariant for generating families of Legendrians || Montana State University Math Seminar, Apr 2023 ||
• Universal properties in symplectic geometry (or, the infinity-category of stable Liouville sectors through localization) || U Penn Geometry/Topology seminar, Sep 2023 || UC Davis Geometry/Topology seminar, Mar 2023 || The Joint Los Angeles Topology Seminar (LATop), Mar 2023 || UT Austin Geometry Seminar, Feb 2023 || MSRI Floer Homotopy Theory Program Seminar, Oct 2022 || Kansas State M-Seminar, Sep 2022 || Johns Hopkins University Topology Seminar, Apr 2022 || Global Poisson seminar, Oct 2021 ||
• Morse theory and a stack of broken lines || PATCH seminar, Sep 2023 || Cal State Chico Seminar, Oct 2022 || MSRI Floer Homotopy Theory Foundations Seminar, Oct 2022 || University of Georgia Geometry Seminar, Feb 2022 || U Toronto Learning seminar run by Marco Gualtieri, Mar 2021 || U Toronto Topology/Geometry Seminar, Feb 2021 || Edinburgh Hodge Seminar, Oct 2020 || Symplectic Cut Seminar, Jul 2020 || Stanford University Symplectic Geometry Seminar, May 2020 || QFT, Geometry and Representation Theory Working Seminar, May 2020 || Texas A & M Topology Seminar, Nov 2019 || UT Austin Topology Seminar, Oct 2019 || UL Lafayette Topology Seminar, Oct 2019 || Paris XIII Topology Seminar, Jul 2019 || Johns Hopkins Topology Seminar, Apr 2019 || UC Davis Algebraic Geometry Seminar, Mar 2019 || CGP (Pohang, Korea), Dec 2018 || Copenhagen topology seminar, Nov 2018 || KCL/UCL geometry seminar, Oct 2018 || Edinburgh EDGE Seminar, Oct 2018 || U Chicago Topology Seminar, May 2018 || George Mason University Topology, Algebraic Geometry, and Dynamics Seminar, Apr 2018 || UIUC Symplectic Geometry Seminar, Mar 2018 || Columbia University Seminar, Apr 2017 || CGP Seminar, Pohang, Korea, Apr 2017 ||
• Broken cycles and K-theory of Fukaya categories || Western Hemisphere Virtual Symplectic Seminar (online), Apr 2020 ||
• Higher homotopy groups of Liouville automorphisms || Northern California Symplectic Geometry Seminar, Mar 2019 ||
• Lagrangian cobordisms and Fukaya categories || Toulouse, Nov 2018 || MIT Topology Seminar, May 2018 || Lecture series at CGP in Pohang, Korea, Dec 2016 || Perimeter Institute Seminar, Waterloo, Canada, May 2016 || Simons Center Seminar, Stony Brook, NY, Apr 2016 || University of Notre Dame Seminar, South Bend, IL, Apr 2016 || Johns Hopkins University Seminar, Feb 2016 || UC Irvine Seminar, Nov 2015 || Northeastern University Seminar, Sep 2015 || Harvard Differential Geometry Seminar, Sep 2014 || MSRI, Apr 2014 ||
• Bridgeland stability conditions and K-theory || Northeastern University Seminar, Sep 2015 || MIT Topology Seminar, Oct 2013 ||
• Factorization homology || Texas State Topology Seminar, Apr 2019 || LATop joint topology seminar, Nov 2015 || Muenster Seminar, Jun 2015 || Johns Hopkins, Apr 2012 || Topology Seminar, University of Copenhagen, Oct 2011 || Student talk, Leverpostej Seminar, Jun 2011 ||
• Lagrangian cobordisms as a stable infinity-category || Seminar, IHES, Nov 2011 || Seminar, ETH Zurich, Nov 2011 ||

Colloquia

• Streams of water and the shapes of things. Cal State Chico Colloquium. Oct 2022.
• Morse theory and broken lines. Rice University Math Department Colloquium. Feb 2022.
• Morse theory and associative algebras. Texas State University Colloquium. Jan 2018.
• Bringing more homotopy theory to symplectic geometry. UC San Diego Colloquium. Nov 2017.
• Homotopy theory and Symplectic topology. Cornell Topology Festival (overlapped with Cornell colloquium/Oliver Club). May 2017.
• Cobordisms, Floer cohomology, and mirror symmetry over ring spectra. Young faculty speaker, Graduate Student Topology and Geometry Conference, UIUC, United States. Mar 2015.
• Factorization homology. UMass Boston Colloquium. Sep 2014.
• Lagrangian cobordisms and Floer Theory (post-doc seminar for algebraic topology and model theory post-docs). MSRI. Apr 2014.

General Audience Talks

• Things Between. Northwestern University Causeway Program. Mar 2023.
• The (homotopical) algebra of the world around us. Texas State University Topology Seminar. Feb 2023.
• The (homotopical) algebra of the world around us. Texas State University Presidential Seminar. Feb 2023.
• Workshop on public speaking. MSRI-UP. Jul 2021.
• Old-fogeyism: A Journey. MSRI-UP. Jul 2021.
• An introduction to infinity-categories. OSU REU. Jul 2021.
• Topology (and what it's good for). Texas State University Math Department Graduate Expo. Nov 2019.
• Shapes and Pacman's universe. Texas State Mathworks Summer Math Camp Colloquium. Jun 2018.
• Morse Theory, or how to see shapes on a rainy day. Mount Holyoke Math/Stat Club. Apr 2018.
• Morse theory and associative algebras. Texas State University Colloquium. Jan 2018.
• Topological Data Analysis. Three-hour workshop for high school students from Kanazawa Izumigaoka Senior High School. Sep 2016.
• Topological Field Theories and knot invariants. Brown University Symposium for Undergraduates in the Mathematical Sciences (SUMS). Mar 2016.
• Knots and Quantum Field Theory. Presidential Fellow Research Talk for Society of Fellows at Northwestern University. Oct 2012.
• Death of a genius. General audience talk about Galois on his bicentennial, UNF Aalborg, Denmark. Oct 2011.

Talks for Learning Seminars/Schools/Workshops

• KO computations (introduction). MSRI Homotopy Computations Seminar. Oct 2022.
• KO computations (KO of complex projective spaces). MSRI Homotopy Computations Seminar. Oct 2022.
• An introduction to Floer theory and spectra. Lectures at Floer Homology Bootcamp, Fields Institute. Dec 2019.
• Factorization homology, infinity-categories, and topological field theories. Notes are now a book. Mini-course at Geometric representation theory and low-dimensional topology (ICMS, Edinburgh). Jun 2019.
• Stacks controlling Floer theory and Morse theory (working title). Mini-course for CATS 5 Conference. Sep 2018.
• Morse Theory, or how to see shapes on a rainy day. Mount Holyoke Math/Stat Club. Apr 2018.
• Morse theory and a stack of broken lines. 3rd KTGU Mathematics Workshop for Young Researchers (Kyoto University). Feb 2018.
• Morse theory and a stack of broken lines. Two-lecture series at Higher Categories and Mirror Symmetry Conference, Korea Institute for Advanced Study (KIAS). Dec 2017.
• Morse theory and a stack of broken lines. Topological and Algebraic Advances in QFT, Varese, Italy. Aug 2017.
• Factorization homology. Topological and Algebraic Advances in QFT, Varese, Italy. Aug 2017.
• Morse theory and a stack of broken lines. ST Yau's Student Seminar. Apr 2017.
• Introduction to derived geometry and Floer theory. Derived Geometry and Floer Theory Seminar, Harvard. Sep 2016.
• Lagrangian cobordisms and the Fukaya category. ST Yau's Student Seminar. Sep 2015.
• Shifted symplectic structures. Flumserberg school on Derived Algebraic Geometry. Nov 2013.
• The SYZ Conjecture. MIT RTG Workshop in Big Bear Lake, California, led by Mark Gross. May 2013.
• Factorization homology and Goowillie-Weiss calculus. Talbot Workshop in Garden City. May 2012.
• Supersymmetric Yang-Mills Theory. Stony Brook. Mar 2012.
• Introduction to Homological Mirror Symmetry, I. Student Talk, Leverpostej Seminar. Jul 2011.
• Introduction to Homological Mirror Symmetry, II. Student Talk, Leverpostej Seminar. Jul 2011.
• A-infinity categories. Student talk, MIT RTG in Colorado led by David Nadler. Jun 2011.
• E_n-algebras, Knot invariants, and Factorization Algebras. Student talk, Leverpostej Seminar. Jun 2011.
• An Introduction to J-Holomorphic Curves. Student Talk, Amie Wilkinson's Dynamics Seminar. May 2011.
• Differential Graded Lie Algebras and Singularities of Representation Varieties. Student Talk, Pre-Talbot Seminar, Northwestern University. Apr 2011.
• The non-Abelian Hodge Theorem I. Student Talk, David Nadler's Seminar. Oct 2010.
• The non-Abelian Hodge Theorem II. Student Talk, David Nadler's Seminar. Oct 2010.
• The Pontrjagin-Thom Construction. Student Talk, West Coast Algebraic Topology Summer School on Homotopy Theory of Moduli Spaces, Eugene, Oregon. Aug 2010.
• Representation Theory of SU(N) and Fusion Rules for LSU(N). Student Talk, Workshop on Operator Algebras and Conformal Field Theory, Eugene, Oregon. Aug 2010.
• Chern-Simons as a 3-2-1 Theory. Student Talk, 2010 Talbot Workshop on Twisted K-Theory and Loop Groups, Breckenridge, Colorado. May 2010.
• An Introduction to K-Theory. Presentation, Pre-Talbot Seminar, Northwestern University. Apr 2010.
• Stacks as Simplicial Schemes. A talk about how stacks can be thought of as infinity-functors from the nerve of the category of rings to the quasi-category of simplicial sets, Student Talk, David Nadler's Geometry and Topology Seminar, Northwestern University. May 2009.
• Gromov's Construction of Non-Arithmetic Hyperbolic Manifolds. A talk on the 1987 paper by Gromov and Piatetski-Shapiro on a method for constructing non-arithmetic hyperbolic manifolds, Student Talk, Rupert Venzke's Hyperbolic Geometry Seminar, Northwestern University. May 2009.
• The Casson-Walker-Lescop Invariant and the Atiyah-Floer Conjecture. A talk on 3-manifold invariants arising from mathematical physics, and how the Casson-Lescop-Walker invariant fits into the picture, Presentation, Rozansky-Witten Theory Seminar, Northwestern University. May 2009.
• Sheaves on BG are Representations of G. Student Talk, David Nadler's Geometry and Topology Seminar, Northwestern University. Mar 2009.
• Intersection Floer Homology. A talk about intersection Floer homology given at the 2009 Talbot workshop, given under the guidance of Paul Seidel, Student Talk, Talbot Workshop on Fukaya Categories and Homological Mirror Symmetry, MIT. Mar 2009.
• Gromov's Algebraic Lemma. A talk about the Algebraic Lemma in Gromov's 1981 paper on groups of polynomial growth being virtually nilpotent, Student Talk, Amie Wilkinson's Dynamics Seminar, Northwestern University. Feb 2009.
• Diffeomorphisms of the Circle and the Tits Alternative . A talk about a section of Ghys's 2001 expository article about the Groups acting on the circle, and a version of the Tits alternative for subgroups of Diffeo(S^1), Student Talk, Amie Wilkinson's Dynamics Seminar, Northwestern University. Nov 2008.
• Model Categories. An introductory talk about model categories, the Dold-Kan correspondence between Simplicial Abelian Groups and Chain Complexes, and the Quillen equivalence between Topological Spaces and Simplicial Sets, Student Talk, David Nadler's Geometry and Topology Seminar, Northwestern University. Nov 2008.