• On the Solvability of General Inverse sigma_k Equations, arXiv:2310.05339, 2023.
• Class of Curvature Equations, Convexity, and Real Algebraic Geometry. My UCI Ph.D. thesis, a generalization of my previous works. The goal is to build a fundamental theory of general sigma_k equations and general inverse sigma_k equations, which show up in many fields. I am very proud of constructing this theory.
• On the Convexity of General Inverse sigma_k Equations, arXiv, Journal of Functional Analysis (2023).
• The deformed Hermitian–Yang–Mills Equation, the Positivstellensatz, and the Solvability, arXiv, Advances in Mathematics (2023).
• Deformed Hermitian–Yang–Mills Equation on Compact Hermitian Manifolds, arXiv, Mathematical Research Letters, accepted (2022).

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Last modified: October 09, 2023.

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