Talks
Upcoming
- TBD – UT Austin Geometry Seminar, Feb. 19, 2026.
- Mathematical mushrooms: Hilbert's 13th problem before and after the destruction of Göttingen – IAS, History of Modern Math, Mar. 24–26, 2026.
Research Talks
- Correctness, Artificial Intelligence and the Epistemic Value of Proof – APMP 2026, Chapman University, Jan. 12, 2026.
- Fractals and Africanist Music – Tropical mathematics and ML seminar, Yonsei University, South Korea, Dec. 8, 2025.
- Hodge Theory and Resolvent Problems – UPenn Colloquium, Dec. 3, 2025.
- Derived Motivic Integration – Scissors Congruence and K-theory Conference, UPenn, July 14–17, 2025.
- Hilbert's 13th Problem for Braid Groups – "Discrete Groups in Topology and Algebraic Geometry", Notre Dame, June 16–20, 2025.
- Perspectives on Hilbert's 13th Problem – UW Number Theory Seminar, June 3, 2025.
- Hodge Theory and Resolvent Problems – CSU Long Beach Colloquium, April 25, 2025.
- Hodge Theory and Resolvent Problems – Utah Colloquium, Mar. 20, 2025.
- Essential dimension via Prismatic Cohomology – Utah Number Theory Seminar, Mar. 19, 2025.
- Higher Lie Theory – Regina Topology and Geometry Seminar, Mar. 18, 2025.
- Hilbert's 13th Problem for Braid Groups – UChicago No Boundaries Seminar, Feb. 27, 2025.
- Higher Lie Theory – Toronto Geometric Structures Lab Seminar, Feb. 24, 2025.
- Fractals in Africanist Music – USC Math Education Seminar, Feb. 10, 2025.
- "Modern Geometry" – Dean's Lecture Series, St. John's College, Santa Fe, Nov. 8, 2024.
- Braids, Polynomials and Hilbert's 13th Problem – Universidad de Colima Math/Physics Colloquium, Nov. 6, 2024.
- "Braids, Polynomials and Hilbert's 13th Problem" – Claremont McKenna Colloquium, Oct. 30, 2024.
- "Higher Lie Theory", AMS Western Sectional, UC Riverside, Oct. 26, 2024.
- Fractals and African Musics (w/ Sidhanth Raman and Reggie Wilson) – UC Irvine, May 21, 2024.
- Mathematics and AI – A Test Case for the Sciences, Seven Pines, May 18, 2024.
- Higher Lie Theory – socAlgTop, IPAM, May 11, 2024.
- VaNTAGe – Perspectives on Hilbert's 13th Problem – Nov. 7, 2023.
- CSU Fullerton – Braids, Resolvent Degree and Hilbert's 13th Problem – Nov. 3, 2023.
- University of Minnesota Topology Seminar – Essential Dimension via Prismatic Cohomology – Oct. 9, 2023.
- UCLA Algebraic Topology Seminar – Essential Dimension via Prismatic Cohomology – May 3, 2023.
- Mid-Atlantic Topology Conference (@UPenn) – Essential Dimension via Prismatic Cohomology – April 15–16, 2023.
- UCI Geometry & Topology Seminar – Resolvent degree for arithmetic groups and variations of Hodge structures – Jan. 23, 2023.
- UChicago No Boundaries Seminar – Resolvent degree for arithmetic groups and variations of Hodge structures – Dec. 2, 2022.
- Reggie Wilson/Fist and Heel Performance Group Symposium @ Lynden Sculpture Garden, WI – Aug. 14, 2022.
- ICERM Workshop on Braids in Symplectic and Algebraic Geometry, March 21–25, 2022.
- Getzler Festschrift, March 21–25, 2022.
- Michigan Algebraic Geometry Seminar – Essential dimension via prismatic cohomology, Feb. 9, 2022.
- Gottingen Higher Structures Seminar – Lie Theory for $L_\infty$-algebras, Dec. 1, 2021.
- Caltech Algebra and Geometry Seminar – Essential dimension via prismatic cohomology, Nov. 8, 2021.
- Algebraic Groups and Algebraic Geometry – Essential Dimension via Prismatic Cohomology – June 29, 2021.
- 2021 Spring Western AMS Sectional – Lie theory for $L_\infty$-algebras – May 1–2, 2021.
- Seminario nacional de geometría algebraica EN LÍNEA – The Geometry of Hilbert's 13th Problem – April 14, 2021.
- UGA Algebraic Geometry Seminar – The Geometry of Hilbert's 13th Problem – March 3, 2021.
- UNR Topology Seminar – The Geometry of Hilbert's 13th Problem – Sept. 25, 2020.
- UNR Colloquium – Braids, Polynomials and Hilbert's 13th Problem – Sept. 24, 2020.
- Northwestern Geometry & Physics Seminar – The Geometry of Hilbert's 13th Problem, May 28, 2020.
- IAS – Special Seminar on Hilbert's 13th Problem, Dec. 5–6, 2019.
- UCSB Topology Seminar – Braids, Polynomials and Hilbert's 13th, April 2, 2019.
- IPAM – Braids, Polynomials and Hilbert's 13th Problem, Feb. 19–21, 2019.
- Tufts Colloquium – Braids, Polynomials and Hilbert's 13th Problem, Feb. 1, 2019.
- Michigan Topology Seminar – Topological Invariants of Algebraic Functions, Jan. 10, 2019.
- UCR Topology Seminar – The Geometry of Hilbert's 13th Problem, Nov. 8, 2018.
- USC Colloquium – Braids, Polynomials and Hilbert's 13th Problem, Sept. 26, 2018.
- Michigan Representation Stability Conference, Aug. 13–17, 2018.
- UCI Algebra Seminar – The Geometry of Hilbert's 13th Problem, May 30, 2018.
- Stanford Topology Seminar – The Theory of Resolvent Degree, after Hamilton, Klein, Sylvester, Hilbert and Brauer, May 22, 2018.
- UCLA Algebra Seminar – The Theory of Resolvent Degree, May 18, 2018.
- Caltech Algebra & Geometry Seminar – The Theory of Resolvent Degree, May 14, 2018.
- CCR – The Theory of Resolvent Degree, April 26, 2018.
- USC Tuesday Seminar – The Geometry of Hilbert's 13th Problem, April 24, 2018.
- USC Algebra Seminar – The Theory of Resolvent Degree, April 23, 2018.
- UChicago Colloquium – Braids, Polynomials and Hilbert's 13th Problem, April 11, 2018.
- Harvard Number Theory Seminar – The Theory of Resolvent Degree, March 7, 2018.
- Harvard Informal Geometry and Dynamics Seminar – The Geometry of Hilbert's 13th Problem, March 7, 2018.
- UC Irvine Colloquium – Braids, Polynomials and Hilbert's 13th Problem, March 1, 2018.
- Kempner Colloquium – Algebraic Topology and Hilbert's 13th Problem(s), Boulder, CO, Jan. 30, 2018.
- Boulder Topology Seminar – Coincidences of homological densities, predicted by arithmetic, Jan. 30, 2018.
- Oberwolfach Workshop "Topology of Arrangements and Representation Stability" – The theory of resolvent degree, Jan. 14–20, 2018.
- UMN Topology Seminar – The theory of resolvent degree – Dec. 8, 2017.
- UCSD Number Theory Seminar – The theory of resolvent degree – Nov. 30, 2017.
- UBC Topology Seminar – Coincidences of homological densities, predicted by arithmetic – Nov. 8, 2017.
- UBC Algebraic Geometry Seminar – The theory of resolvent degree – Nov. 6, 2017.
- No Boundaries – Groups in Algebra, Geometry and Topology – Oct. 26–29, 2017.
- Manifolds and Groups – Coincidences of homological densities – Sept. 25–29, 2017.
- UCLA Number Theory Seminar – Coincidences of homological densities – Jan. 25, 2017.
- UCI Number Theory Seminar – Coincidences of homological densities – Jan. 23, 2017.
- Notre Dame Topology Seminar – Coincidences of homological densities – Dec. 8, 2016.
- University of Chicago Geometry/Topology Seminar – Coincidences of homological densities – Sept. 29, 2016.
- 2016 Oberwolfach Topology Meeting – Coincidences of homological densities – July 21, 2016.
- 27th Nordic Congress of Mathematicians – Counting Problems and Homological Stability – March 17, 2016.
- Purdue Topology Seminar – Counting Problems and Homological Stability – March 2, 2016.
- Wayne State Colloquium – Polynomials, Counting Problems and Algebraic Topology – Feb. 22, 2016.
- IBS-CGP Conference on Homotopical Methods in Quantum Field Theory – Higher Determinants and Double Loop Groups – Jan. 13, 2016.
- Minnesota Topology Seminar – Counting Problems and Homological Stability – Oct. 26, 2015.
- Rice Topology Seminar – Oct. 19, 2015.
- Northwestern Topology Seminar – Oct. 12, 2015.
- 2015 AMS Summer Institute in Algebraic Geometry – Topology and Arithmetic of Resultants – July 27, 2015.
- Midwest Topology Seminar – Topology and Arithmetic of Spaces of Rational Maps – May 10, 2015.
- Wisconsin Number Theory Seminar – May 7, 2015.
- UIC Homotopy Algebras Seminar – Modular Operads of Embedded Curves – April 17, 2015.
- 2015 Arkansas Spring Lecture Series – March 5, 2015.
- Rutgers Algebra Seminar – The Index Map and Reciprocity Laws for Contou-Carrere Symbols – Feb. 4, 2015.
- Yale Geometry, Symmetry and Physics Seminar – Feb. 2, 2015.
- MIT Topology Seminar – The Index Map and Reciprocity Laws – Nov. 17, 2014.
- University of Tokyo – Topology Seminar – July 22, 2014.
- IPMU Get Together Seminar – A Modular Operad of Embedded Curves – July 3, 2014.
- Imperial College London MAGIC Seminar – Feb. 26, 2014.
- Padua Winter School on Higher Structures in Algebraic Analysis – Feb. 18, 2014.
- University of Copenhagen Algebra/Topology Seminar – Dec. 17, 2013.
- Nagoya University K-Theory Seminar – Dec. 12, 2013.
- Chuo University K-Theory Seminar – Dec. 3, 2013.
- IPMU Get-Together Math Seminar – Oct. 10, 2013.
- Northwestern Mini-Conference – Determinants, Delooping and Reciprocity – June 12, 2013.
- Northwestern Topology Seminar – Descent for $n$-Bundles – June 3, 2013.
- Paris – Institut de Mathématiques de Jussieu – Séminaire d'Analyse Algébrique – May 21, 2013.
- Utrecht – Descent for $n$-Bundles – May 17, 2013.
- Oxford – Algebraic and Symplectic Geometry Seminar – May 7, 2013.
- EPFL Topology Seminar – May 3, 2013.
- EPFL Geometry Seminar – May 1, 2013.
- Max Planck Institute – Higher Differential Geometry Seminar – April 24, 2013.
- UBC Algebraic Geometry Seminar – Oct. 29, 2012.
- Notre Dame Topology Seminar – Sept. 27, 2012.
- 2012 ESI Program on $K$-Theory and Quantum Fields – June 14, 2012.
Other Talks
- UC Irvine Graduate Colloquium – Fractals and Africanist Dance – Nov. 17, 2023.
- IPMU Special Seminar – Nerves and Group Completion for Categories and Operads, Parts 1–3, Aug.–Sept. 2014.
- IPMU Conformal Blocks Seminar – Loop Groups and Conformal Blocks – Nov. 19, 2013.
- MIT Babytop – The Structure of Higher Bundles – Nov. 27, 2012.
- 2012 Simons Center Graduate Workshop on SUSY Field Theories – Supermanifolds – March 6, 2012.
- 2011 Talbot Workshop – Principal Bundles, Real Structures, Toledo Invariant and Milnor-Wood – May 2, 2011.
- Northwestern Graduate Seminar – The Chern-Weil Construction – April 21, 2011.
- Northwestern Graduate Seminar – Symmetries of Spaces and Bundles – Jan. 20, 2011.
- Northwestern Graduate Seminar – Spin Structures – Oct. 7, 2010.
- Discrete and Continuous Geometries, Northwestern Conference for Undergraduates – The Euler Characteristic – June 23, 2010.
- 2010 Talbot Workshop – Complex $K$-Theory – May 23, 2010.
- Northwestern Graduate Seminar – Introduction to Complex $K$-Theory – May 18, 2010.
Posters