Upcoming:

1. Correctness, Artificial Intelligence and the Epistemic Value of Proof – APMP 2026, Chapman University, Jan. 12, 2026.
2. TBD – UT Austin Geometry Seminar, Feb. 19, 2026.
3. TBD – IAS, History of Modern Math, Mar. 24-26, 2026

Research Talks:

1. Fractals and Africanist Music – Tropical mathematics and ML seminar, Yonsei University, South Korea, Dec. 8, 2025
2. Hodge Theory and Resolvent Problems – UPenn Colloquium, Dec. 3, 2025
3. Derived Motivic Integration – Scissors Congruence and K-theory Conference, UPenn, July 14-17, 2025.
4. Hilbert’s 13th Problem for Braid Groups – “Discrete Groups in Topology and Algebraic geometry”, Notre Dame – June 16-20, 2025
5. Perspectives on Hilbert’s 13th Problem – UW Number Theory Seminar, June 3, 2025
6. Hodge Theory and Resolvent Problems – CSU Long Beach Colloquium, April 25, 2025
7. Hodge Theory and Resolvent Problems – Utah Colloquium, Mar. 20, 2025
8. Essential dimension via Prismatic Cohomology – Utah Number Theory Seminar – Mar. 19, 2025
9. Higher Lie Theory – Regina Topology and Geometry Seminar, Mar. 18, 2025
10. Hilbert’s 13th Problem for Braid Groups – UChicago No Boundaries Seminar, Feb. 27, 2025
11. Higher Lie Theory – Toronto Geometric Structures Lab Seminar, Feb. 24, 2025
12. Fractals in Africanist Music – USC Math Education Seminar, Feb. 10, 2025
13. “Modern Geometry” – Dean’s Lecture Series, St. John’s College, Santa Fe, Nov. 8, 2024.
14. Braids, Polynomials and Hilbert’s 13th Problem – Universidad de Colima Math/Physics Colloquium, Nov. 6, 2024.
15. “Braids, Polynomials and Hilbert’s 13th Problem” – Claremont McKenna Colloquium, Oct. 30, 2024.
16. “Higher Lie Theory”, AMS Western Sectional, UC Riverside, Oct. 26, 2024.
17. Fractals and African Musics (w/ Sidhanth Raman and Reggie Wilson) – UC Irvine – May 21, 2024
18. Mathematics and AI – A Test Case for the Sciences, Seven Pines, May 18, 2024.
19. Higher Lie Theory – socAlgTop – IPAM, May 11, 2024
20. VaNTAGe – Perspectives on Hilbert’s 13th Problem – Nov. 7
21. CSU Fullerton – Braids, Resolvent Degree and Hilbert’s 13th Problem – Nov. 3, 2023
22. University of Minnesota Topology Seminar – Essential Dimension via Prismatic Cohomology – Oct. 9, 2023
23. UCLA Algebraic Topology Seminar – Essential Dimension via Prismatic Cohomology – May 3, 2023
24. Mid-Atlantic Topology Conference (@UPenn) – Essential Dimension via Prismatic Cohomology – April 15-16, 2023
25. UCI Geometry & Topology Seminar – Resolvent degree for arithmetic groups and variations of Hodge structures – Jan. 23, 2023
26. UChicago No Boundaries Seminar – Resolvent degree for arithmetic groups and variations of Hodge structures – Dec. 2, 2022
27. Reggie Wilson/Fist and Heel Performance Group Symposium @ Lynden Sculpture Garden, WI  – Session 3 – TRANSDISCIPLINARY – What Can Dance Do For the World? – Aug. 14, 2022
28. ICERM Workshop on Braids in Symplectic and Algebraic Geometry, March 21-25, 2022
29. Getzler Festschrift, March 21-25, 2022
30. Michigan Algebraic Geometry Seminar – Essential dimension via prismatic cohomology, Feb. 9, 2022
31. Gottingen Higher Structures Seminar – Lie Theory for -algebras, Dec. 1, 2021.
32. Caltech Algebra and Geometry Seminar – Essential dimension via prismatic cohomology, Nov. 8, 2021.
33. Algebraic Groups and Algebraic Geometry (Conference in honor of Zinovy Reichstein’s 60th Birthday) – Essential Dimension via Prismatic Cohomology – June 29, 2021
34. 2021 Spring Western AMS Sectional Special Session on Connections between homotopical algebra and geometry – Lie theory for -algebras – May 1-2, 2021
35. Seminario nacional de geometría algebraica EN LÍNEA – The Geometry of Hilbert’s 13th Problem – April 14, 2021
36. UGA Algebraic Geometry Seminar – The Geometry of Hilbert’s 13th Problem – March 3, 2021
37. UNR Topology Seminar – The Geometry of Hilbert’s 13th Problem – Sept. 25, 2020
38. UNR Colloquium – Braids, Polynomials and Hilbert’s 13th Problem – Sept. 24, 2020
39. Northwestern Geometry & Physics Seminar – The Geometry of Hilbert’s 13th Problem, May 28, 2020.
40. Spring Southeastern AMS Sectional, Special Session on Motivic Aspects of Topology and Geometry – Derived motivic integration, March 13, 2020 (CANCELLED DUE TO COVID-19)
41. IAS – Special Seminar on Hilbert’s 13th Problem, Dec. 5 – 6
42. UCSB Topology Seminar – Braids, Polynomials and Hilbert’s 13th, April 2, 2019
43. IPAM – Braids, Polynomials and Hilbert’s 13th Problem, Feb. 19-21, 2019
    1. After Abel, Feb. 19, 2019
    2. Resolvent Degree and Classical Solutions, Feb. 19, 2019
    3. Resolvent Degree and the Search for Lower Bounds, Feb. 21, 2019
44. Tufts Colloquium – Braids, Polynomials and Hilbert’s 13th Problem, Feb. 1, 2019.
45. Michigan Topology Seminar – Topological Invariants of Algebraic Functions, Jan. 10, 2019.
46. UCR Topology Seminar – The Geometry of Hilbert’s 13th Problem, Nov. 8, 2018
47. USC Colloquium – Braids, Polynomials and Hilbert’s 13th Problem, Sept. 26, 2018
48. Michigan Representation Stability Conference, Aug. 13-17, 2018
49. UCI Algebra Seminar – The Geometry of Hilbert’s 13th Problem, May 30, 2018
50. Stanford Topology Seminar – The Theory of Resolvent Degree, after Hamilton, Klein, Sylvester, Hilbert and Brauer, May 22, 2018
51. UCLA Algebra Seminar – The Theory of Resolvent Degree, after Hamilton, Klein, Sylvester, Hilbert and Brauer, May 18, 2018
52. Caltech Algebra & Geometry Seminar – The Theory of Resolvent Degree, after Hamilton, Klein, Sylvester, Hilbert and Brauer, May 14, 2018
53. CCR – The Theory of Resolvent Degree, after Hamilton, Klein, Sylvester, Hilbert and Brauer, April 26, 2018
54. USC Tuesday Seminar  – The Geometry of Hilbert’s 13th Problem, April 24, 2018
55. USC Algebra Seminar – The Theory of Resolvent Degree, after Hamilton, Klein, Sylvester, Hilbert and Brauer, April 23, 2018
56. UChicago Colloquium – Braids, Polynomials and Hilbert’s 13th Problem, April 11, 2018
57. Harvard Number Theory Seminar – The Theory of Resolvent Degree, after Hamilton, Klein, Hilbert and Brauer, March 7, 2018
58. Harvard Informal Geometry and Dynamics Seminar – The Geometry of Hilbert’s 13th Problem, March 7, 2018
59. UC Irvine Colloquium – Braids, Polynomials and Hilbert’s 13th Problem, March 1, 2018
60. Kempner Colloquium – Algebraic Topology and Hilbert’s 13th Problem(s), Boulder, CO, Jan. 30, 2018
61. Boulder Topology Seminar – Coincidences of homological densities, predicted by arithmetic, Boulder, CO, Jan. 30, 2018
62. Oberwolfach  Workshop “Topology of Arrangements and Representation Stability” – The theory of resolvent degree, after Hamilton, Sylvester, Hilbert, Segre and Brauer, Oberwolfach, Germany, Jan. 14-20, 2018
63. UMN Topology Seminar -The theory of resolvent degree, after Hamilton, Sylvester, Hilbert, Segre and Brauer – Twin Cities, MN, Dec. 8, 2017
64. UCSD Number Theory Seminar – The theory of resolvent degree, after Hamilton, Sylvester, Hilbert, Segre and Brauer – San Diego, USA, Nov. 30, 2017
65. UBC Topology Seminar – Coincidences of homological densities, predicted by arithmetic – Vancouver, Canada, Nov. 8, 2017
66. UBC Algebraic Geometry Seminar – The theory of resolvent degree, after Hamilton, Sylvester, Hilbert, Segre and Brauer – Vancouver, Canada, Nov. 6, 2017
67. No Boundaries – Groups in Algebra, Geometry and Topology – The theory of resolvent degree, after Hamilton, Sylvester, Hilbert, Segre and Brauer – Chicago, USA, Oct. 26-29, 2017
68. Manifolds and Groups – Coincidences of homological densities, predicted by arithmetic – Regensburg, Germany, Sept. 25-29, 2017
69. UCLA Number Theory Seminar – Coincidences of homological densities, predicted by arithmetic – Jan. 25, 2017
70. UCI Number Theory Seminar – Coincidences of homological densities, predicted by arithmetic – Jan. 23, 2017
71. Notre Dame Topology Seminar – Coincidences of homological densities, predicted by arithmetic – Dec. 8, 2016
72. University of Chicago Geometry/Topology Seminar – Coincidences of homological densities, predicted by arithmetic – Sept. 29, 2016
73. 2016 Oberwolfach Topology Meeting – Coincidences of homological densities, predicted by arithmetic – July 21, 2016
74. 27th Nordic Congress of Mathematicians, Geometry and Topology Session – Counting Problems and Homological Stability – March 17, 2016
75. Purdue Topology Seminar – Counting Problems and Homological Stability – March 2, 2016
76. Wayne State Colloquium – Polynomials, Counting Problems and Algebraic Topology – February 22, 2016
77. IBS-CGP Conference on Homotopical Methods in Quantum Field Theory – Higher Determinants and Double Loop Groups – January 13, 2016
78. Minnesota Topology Seminar – Counting Problems and Homological Stability – October 26, 2015
79. Rice Topology Seminar – Counting Problems and Homological Stability – October 19, 2015
80. Northwestern Topology Seminar – Counting Problems and Homological Stability – October 12, 2015
81. 2015 AMS Summer Institute in Algebraic Geometry – Topology and Arithmetic of Resultants – July 27, 2015
82. Midwest Topology Seminar – Topology and Arithmetic of Spaces of Rational Maps – May 10, 2015
83. Wisconsin Number Theory Seminar – Geometry and Arithmetic of Spaces of Rational Maps – May 7, 2015
84. UIC Homotopy Algebras Seminar – Modular Operads of Embedded Curves – April 17, 2015
85. 2015 Arkansas Spring Lecture Series – Spaces of Rational Functions, Representation Stability, and Statistics over Finite Fields – March 5, 2015
86. Rutgers Algebra Seminar – The Index Map and Reciprocity Laws for Contou-Carrere Symbols – Feb. 4, 2015
87. Yale Geometry, Symmetry and Physics Seminar – The Index Map and Reciprocity Laws for Contou-Carrere Symbols – Feb. 2, 2015
88. MIT – Topology Seminar – The Index Map and Reciprocity Laws – Nov. 17, 2014
89. University of Tokyo – Topology Seminar – The Index Map and Reciprocity Laws for Contou-Carrere Symbols – July 22, 2014
90. IPMU – Get Together Seminar – A Modular Operad of Embedded Curves – July 3, 2014
91. Imperial College London MAGIC Seminar – Index Theory and Reciprocity Laws – February 26, 2014
92. Padua Winter School and Workshop on Higher Structures in Algebraic Analysis – The Index Map in Algebraic K-Theory – February 18, 2014
93. University of Copenhagen Algebra/Topology Seminar – Index Theory and Reciprocity Laws – December 17, 2013
94. Nagoya University K-Theory Seminar – Index Theory in Algebraic -Theory -December 12, 2013
95. Chuo University – K-Theory Seminar – Index Theory in Algebraic -Theory – December 3, 2013
96. IPMU – Get-Together Math Seminar – Index Theory in Algebraic -Theory and Algebraic Geometry – October 10, 2013
97. Northwestern Mini-Conference – Determinants, Delooping and Reciprocity – June 12, 2013
98. Northwestern – Topology Seminar – Descent for -Bundles – June 3, 2013
99. Paris – Institute de Mathematiques de Jussieu – Seminaire d’Analyse Algebrique – Descent for n-Bundles – May 21, 2013
100. Utrecht – Descent for n-Bundles – May 17, 2013
101. Oxford – Algebraic and Symplectic Geometry Seminar – Descent for n-Bundles – May 7, 2013
102. EPFL – Topology Seminar – Determinants and Delooping of Algebraic K-Theory – May 3, 2013
103. EPFL – Geometry Seminar – Determinants, Delooping and Reciprocity – May 1, 2013
104. Max Planck Institute for Mathematics – Higher Differential Geometry Seminar – “Descent for -bundles” – April 24, 2013
105. University of British Columbia – Algebraic Geometry Seminar – “Strictifying Higher Bundles” – Oct. 29, 2012
106. Notre Dame – Topology Seminar – “Extensions of Lie -Groups”  – Sept. 27, 2012
107. 2012 ESI Program on -Theory and Quantum Fields – “Extensions of Lie -Groupoids by Strict Lie -Groups” – June 14, 2012

Other Talks:

1. UC Irvine Graduate Colloquium – Fractals and Africanist Dance – Nov. 17, 2023
2. IPMU Special Seminar – Nerves and Group Completion for Categories and Operads, A Beginner’s Guide, Parts 1-3 – Aug. 29, Sept. 1 and Sept. 2, 2014
3. IPMU Conformal Blocks Seminar – Loop Groups and Conformal Blocks – Nov. 19, 2013
4. MIT Babytop – The Structure of Higher Bundles – Nov. 27, 2012
5. 2012 Simons Center Graduate Workshop on SUSY Field Theories  – Supermanifolds – March 6, 2012
6. 2011 Talbot Workshop – Principal Bundles, Real Structures, Toledo Invariant and Milnor-Wood – May 2, 2011
7. Northwestern Graduate Seminar – The Chern-Weil Construction – April 21, 2011
8. Northwestern Graduate Seminar – Symmetries of Spaces and Bundles – Jan. 20, 2011
9. Northwestern Graduate Seminar – Spin Structures – Oct. 7, 2010
10. Discrete and Continuous Geometries, Northwestern Conference for Undergraduates – The Euler Characteristic – June 23, 2010
11. 2010 Talbot Workshop – Complex -Theory – May 23, 2010
12. Northwestern Graduate Seminar – Introduction to Complex -Theory – May 18, 2010

Posters:

1. Newton Institute’s Higher Structure 2013: Operads and Deformation Theory – “Mapping Spaces in Higher Stacks, and Applications” – April 2, 2013