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 am on the job market this year, applying for academic positions. 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.

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.
• Homological combinatorics of Lagrangian coamoebae, in preparation. Joint work with Harold Williams.
• Relative Calabi-Yau structure on microlocalization. Joint work with Wenyuan Li.
• Duality, Künneth formulae, and integral transforms in microlocal geometry. Joint work with Wenyuan Li.
• 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 my joint paper with Wenyuan Li, Duality and spherical adjunction for microlocal sheaves -- An approach by contact isotopies, before the forming of our collaboration.
• Wrapped sheaves, Adv. Math 415 (2023): 108882. Notes for a talk given in USC is vailable here.

Teaching and Seminars

• 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

• 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.