Christopher Kuo

Assistant Professor (RTPC) of Mathematics
University of Southern California
Kaprielian Hall 438A
chrislpkuo(at)berkeley{dot}edu

I am a postdoc, under the title Assistant Professor (RTPC) of Mathematics, in University of Southern California. I will be a postdoc at MPIM beginning in June, 2025. My Ph.D. advisor was Vivek Shende. My research interest includes microlocal sheaf theory, noncommutative geometry, symplectic geometry and D-modules. Here is my CV.

This semester at USC, I'm organizing a microlocal learning seminar with Wenyuan Li. Here is the seminar webiste.

Research

Sheaf quantization of symplectic isotopies, in preparation. Joint work with Tomohiro Asano, Yuichi Ike, Wenyuan Li.
Integral transforms and compactness, in preparation. Joint work with Sheel Ganatra , Wenyuan Li, and Haosen Wu.
Tropical Lagrangian coamoebae and free resolutions. Joint work with Harold Williams.
Relative Calabi-Yau structure on microlocalization. Joint work with Wenyuan Li.
Duality and Kernels in Microlocal Geometry, IMRN 2025 (2025): rnaf070. Joint work with Wenyuan Li. (arXiv:2405.15211.)
The microlocal Riemann-Hilbert correspondence for complex contact manifolds. Joint work with Laurent Côté, David Nadler, and Vivek Shende.
On the Hochschild cohomology of Tamarkin categories. Joint work with Vivek Shende and Bingyu Zhang.
Spherical adjunction and Serre functor from microlocalization. Joint work with Wenyuan Li. Notes for talks about this paper can be found here.
Perverse Microsheaves. Joint work with Laurent Côté, David Nadler, and Vivek Shende.
Symplectic geometric methods in microlocal sheaf theory. My Ph.D. thesis, a combniation of my paper, wrapped sheaves, and partial contents from the following two joint papers with Wenyuan Li, Duality and spherical adjunction from microlocalization, before the forming of our collaboration.
Wrapped sheaves, Adv. Math 415 (2023): 108882. (arXiv:2102.06791.) Notes for a talk given in USC is vailable here.

Teaching and Seminars

Spring 2025: Microlocal learning seminar.
Spring 2025: Math 425A, Fundamental Concepts of Analysis.
Spring 2025: Math 125, Calculus I.
Fall 2024: Math 425A, Fundamental Concepts of Analysis.
Fall 2023: Math 144, Foundations of Statistics.
Spring 2023: MATH 245, Ordinary Differential Equations.
Fall 2022: MATH 125, Calculus I.
Spring 2022: Deformation quantization modules learning seminar.
Fall 2021: Deformation quantization modules learning seminar.
Spring 2020: Math 110 - Linear Algebra (Kenneth A. Ribet). course page.
Spring 2019: Math 16B - Analytic Geometry and Calculus (Kelli Talaska). course page.
Fall 2018: Math 54 Linear Algebra and Differential Equations (Constantin Teleman).
Fall 2017: Math 54 Linear Algebra and Differential Equations (David Nadler). course page.
Spring 2017: Math 53 Multivarialbe Calculus (Maciej Zworski).
Fall 2016: Math 1A Calculus (Sug Woo Shin).

Invited talks

Symplectic Geometry and Sheaves, Geometry and Topology Seminar, UC Irvine, November 2024.
A quick introduction of microlocal sheaf theory, NAG GRT Seminar, SLMath (formly MSRI), February 2024. The video can be found here.
Globalizing the microlocal Riemann-Hilbert correspondence, Algebraic Geometry Seminar, UC Davis, January 2024.
Globalizing the microlocal Riemann-Hilbert correspondence, Algebraic Geometry Seminar, Academia Sinica, January 2024.
Globalizing the microlocal Riemann-Hilbert correspondence, Geometry Seminar, Kyushu University, January 2024.
Microlocal Riemann-Hilbert correspondence, QM Research Seminar, University of Southern Denmark, December 2023.
Microlocal Riemann-Hilbert correspondence, Bonn symplectic geometry seminar, December 2023.
Perverse Microsheaves, Mathematics Seminars, Montana State University, October 2023.
Perverse Microsheaves, Differential geometry and symplectic topology seminar, University of Minnesota, September 2023.
Sheaf Theoretic Methods in Symplectic Geometry, NCTS Differential Geometry Seminar, National Center for Theoretical Sciences, Taipei City, May 2023.
Microlocal sheaf theory in noncommutative geometry, Algebraic Geometry Seminar, Academia Sinica, Taipei City, May 2023. The talk was recorded by the hosting institute.
Microlocal sheaf theory in noncommutative geometry, UCSB Seminar on Geometry and Arithmetic, University of California, Santa Barabra, May 2023.
Wrapped sheaves, USC topology seminar, University of Southern California, Septermber 2022.
Wrapped sheaves, QM Research Seminar in Syddansk Universitet, March 2022.
Wrapped sheaves, U. Iowa Topology Seminar, December 2021.

Seminar talks given

Sheaf quantization and the topology of cotangent bundles, Guest lecture for MATH 699 by Sheel Ganatra, Fall 2022.
Nondisplaceability results for Lagrangians in toric symplectic manifolds, Southern California Symplectothon, Fall 2022.
Riemann-Hilbert correspondence, Deformation quantization modules learning seminar, Syddansk Universitet, June 2022.
Odd symplectic geometry, Batalin-Vilkovisky learning seminar, Syddansk Universitet, March 2022.
Algebroids, Deformation quantization modules learning seminar, Syddansk Universitet, November 2021.
Nonlinear regularity and local existence, J-Holomorphic curves learning seminar, Syddansk Universitet, October 2021.
Deformation of a sheaf of rings, Deformation quantization modules learning seminar, Syddansk Universitet, October 2021.
En-algebras and iterated loop spaces, Geometric Representation Theory seminar, UC Berkeley, Spring 2020.
Wrapped Floer Homology Learning Seminar, UC Berkeley, Fall 2019.
Superpotentials in Mirror Symmetry, Student Seminar on Deformation Theory, MSRI, April 05 2019.
Hochschild-Kostant-Rosenberg theorem through loop spaces, Geometric Representation Theory seminar, UC Berkeley, November 27 and December 14 2018.
Koszul duality for algebras, Deformation Theory Seminar, UC Berkeley, October 15 2017.
Gerbes. Mayer-Vietoris calculations, K-theory Seminar, UC Berkeley, April 2017.
Adams operation, K-theory Seminar, UC Berkeley, February 2017.