Talks and Notes

Research Talks

• Young Topologists Meeting, Münster, Germany. August 2024. Contributed Talk.

• Chinese Academy of Sciences  Hua Luogeng Young Researcher Forum, May 2024 (Slides)

• University of Bonn Topology Seminar, May 2024.

• University of Pennsylvania Geometry-Topology Seminar, March 2024. 

• MPIM Topology Seminar, February 2024.

• Peking University Geometry and Topology Seminar, December 2023.

• Chinese Academy of Sciences Topology Seminar, December 2023.

• Joint IU/PU/IUPUI Topology Seminar, Indianapolis, Indiana, December 2023.

• Indiana University Bloomington Algebra Seminar, December 2023. 

• Midwest Topology Seminar, Urbana, Illinois, September 2023. Contributed talk. 

• Indiana University Bloomington Topology Seminar, September 2023. 

• Westlake University Math Colloquium, July 2023.

• Johns Hopkins University Topology Seminar, April 2023.

• MIT Topology Seminar, April 2023.

• University of Maryland Algebra-Number Theory Seminar, March 2023. 

• Texas A&M University Topology Seminar, February 2023. 

• AMS Special Session on Homotopy Theory: Connections and Applications, at The Joint Mathematics Meetings, Boston, Massachusetts, January 2023. 

• Arithmetic and Topology,  Southern University of Science and Technology, Shenzhen, China, December 2022.

• University of Minnesota Topology Seminar, November 2022. (Slides, Video)

• University of Pennsylvania Geometry-Topology Seminar, November 2022. 

• University of Virginia Topology Seminar, October 2022.

• Columbia University Algebraic Topology Seminar, September 2022. 

• Mid-South Algebraic Topology and Geometry Workshop, July 2022. (Video)

• UC San Diego Topology Seminar, May 2022.

• Temple University Algebra Seminar, November 2021.

• The electronic Computational Homotopy Theory (eCHT) Research Seminar, October 2021. (Slides, Video)

• UIUC Topology Seminar, April 2021.

• Johns Hopkins University Topology Seminar, September 2020. (Slides)

• University of Rochester Topology Seminar, September 2020. 

• University of Pennsylvania Geometry-Topology Seminar, September 2020. 

• AMS Special Session on Geometric Representation Theory and Equivariant Elliptic Cohomology, at The Joint Mathematics Meetings, Denver, Colorado, January 2020. (Slides)

• University of Chicago Topology Seminar, October 2019.

• Northwestern University Topology Seminar, October 2019.

• University of Notre Dame Topology Seminar, September 2019. 

• UIUC Topology Seminar, September 2019.

• International Workshop on Algebraic Topology 2019, Shanghai, China, August 2019.  20-minute contributed talk. (Slides)

• Elliptic Cohomology Days, Urbana, Illinois, June 2019. 10-minute contributed talk.

Workshop Presentations

• IWoAT Summer School 2023: Operads, spectra, and multiplicative structures, Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, China, August 2023. Two lectures:

  • The Barratt–Priddy–Quillen theorem and algebraic K-theory (Notes)

  • Orbit categories and the equivalence of homotopy categories, coefficient systems, Bredon cohomology of G-spaces and axioms (Notes)

• Summer School on Chromatic Homotopy Theory and Higher (Infinity-Categorical) Algebra, Shanghai Center for Mathematical Sciences & School of Mathematical Sciences, Fudan University and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, August 2022. Two lectures:

  • Bousfield localizations (Notes, Video)

  • Monochromatic layers, chromatic convergence theorem (Notes, Video)

• Summer School on Equivariant Homotopy Theory, Shanghai, China, July 2021.

Equivariant K-theory (Notes, Part 1 Video, Part 2 Video). This talk is different from the 2019 version -- the second part covers KR computations.

• Summer School on Equivariant Homotopy Theory, Shanghai, China, August 2019. Two lectures:

  • Equivariant K-theory (Notes)

  • Equivariant cobordism (Notes)

• Arizona Winter School: Topology and Arithmetic, Tucson, Arizona, March 2019.

Project reports: The Picard group at height 2 (joint with Micah Darrell).

• West Coast Algebraic Topology Summer School, Eugene, Oregon, August 2016.

Formal group laws I (jointly prepared with Dileep Menon). (Notes)

Selected Graduate Seminar Talks at UIUC

• Graduate Homotopy Theory Seminar, February 2020.

Exotic elements in Picard groups (Notes and Slides for HFPSS at height 1 and prime 2)

• Graduate Homotopy Theory Seminar, December 2019.

The Gross-Hopkins duality (Notes)

• AWM Graduate Student Colloquium, November 2019.

Framed cobordism and the J-homomorphism (Slides)

• Graduate Algebraic Geometry Seminar, February 2019.

Dieudonné crystals associated to formal groups (Notes)

• Graduate Geometry and Topology Seminar, February 2019.

27 lines on smooth cubic surfaces (Notes)

• Graduate Algebraic Geometry Seminar,  October 2018.

Congruences of modular forms from an algebro-geometric perspective

• Graduate Geometry Learning Seminar, October 2018.

Clifford algebras and K-theory (Notes)

• Graduate Homotopy Theory Seminar, October 2018.

Congruence and group cohomology

• Graduate Number Theory Seminar, February 2018.

Modular forms and moduli of elliptic curves (Notes)

• Graduate Homotopy Theory Seminar, September 2017.

What is tmf (Notes)

• Graduate Homotopy Theory Seminar, March 2017.

The Brown-Peterson homology theory (Notes)

• Graduate Homotopy Theory Seminar, March 2017.

Complex cobordism and formal group laws (Notes)

• Graduate Geometry and Topology Seminar, November 2016.

A primary obstruction to an ideal hairy ball (Notes)