My main research interests span Donaldson-Thomas theory and other enumerative theories of Calabi-Yau manifolds, moduli spaces and stacks of sheaves and complexes, derived categories and derived algebraic geometry, and logarithmic geometry.

Algebraic Geometry

• Stabilizer Reduction for Derived Stacks and Applications to Sheaf-Theoretic Invariants, joint with Jeroen Hekking and David Rydh. Submitted. [arXiv: 2209.15039] [PDF]
• Virtual Riemann-Roch Theorems for Almost Perfect Obstruction Theories. manuscripta mathematica (to appear). [arXiv: 2207.14397] [PDF]
• The d-critical structure on the Quot scheme of points of a Calabi-Yau 3-fold, joint with Andrea Ricolfi. Submitted. [arXiv: 2106.16133] [PDF]
• Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds. Advances in Mathematics, Volume 398, 2022, 108232. [Journal] [MR4383010] [arXiv: 2007.14023] [PDF]
• Localizing Virtual Structure Sheaves for Almost Perfect Obstruction Theories, joint with Young-Hoon Kiem. Forum of Mathematics, Sigma, Volume 8, 2020, e61. [Journal] [MR4190061] [arXiv: 2007.06820] [PDF]
• Generalized Donaldson-Thomas Invariants of Derived Objects via Kirwan Blowups. Submitted. [arXiv: 2005.13768] [PDF]
• K-Theoretic Generalized Donaldson-Thomas Invariants, joint with Young-Hoon Kiem. International Mathematics Research Notices (IMRN), 2022, pp. 2123--2158. [Journal] [arXiv: 1912.04966] [PDF]
• Generalized Donaldson-Thomas Invariants via Kirwan Blowups, joint with Young-Hoon Kiem and Jun Li. Journal of Differential Geometry (to appear). [arXiv: 1712.02544] [PDF]

Other (Artificial Intelligence, Combinatorics)

• Categorical Semantics of Compositional Reinforcement Learning, joint with G. Bakirtzis and U. Topcu. Submitted. [arXiv: 2208.13687] [PDF]
• Shutout Games on Graphs, joint with Alexandru Cioba. Mathematika, volume 61 (2015), issue 03, pp. 523-530. [Journal] [MR3415639] [PDF]

the University of Texas at Austin

Instructor of Record:

• M 365C : Real Analysis I, Fall 2022.
• M 328K : Introduction to Number Theory, Spring 2023.
• M 408C : Differential and Integral Calculus, Fall 2021.

University of California, San Diego

Instructor of Record:

• MATH 109 : Mathematical Reasoning, Winter 2019, Winter 2020, Winter 2021.
• MATH 102 : Applied Linear Algebra, Spring 2019, Fall 2019.
• MATH 18 : Linear Algebra, Spring 2021.
• MATH 10B : Calculus II, Winter 2019, Winter 2020, Spring 2021.
• MATH 10A : Calculus I, Fall 2018, Fall 2019.

Stanford University

Instructor of Record:

• MATH 20 : Calculus, Fall 2017, Winter 2018.

Teaching Assistant (TA):

• MATH 63CM : Modern Mathematics: Continuous Methods, Spring 2017. Instructor: Jonathan Luk.
• MATH 53 : Ordinary Differential Equations with Linear Algebra, Spring 2016. Instructor: Lexing Ying.
• MATH 53H : Honors Multivariable Mathematics, Ordinary Differential Equations, Spring 2015. Instructor: Jun Li.
• MATH 51 : Linear Algebra and Differential Calculus of Several Variables, Winter 2014. Instructor: Tian Yang.

Course Assistant (CA):

• MATH 215A : Complex Analysis, Fall 2014. Instructor: Eleny Ionel.
• MATH 120 : Groups and Rings, Fall 2013. Instructor: Martin Luu.