I am Bao X. D. Nguyen (also known as Nguyễn Xuân Duy Bảo in Vietnamese, N.X.D. Bao in publications), a researcher and lecturer in Mathematics.

Office & Contact Information

🏢 Office: Room B4-104

📍  Adress: 268 Ly Thuong Kiet Street, Ward Dien Hong, Ho Chi Minh City, Vietnam 

📞 Phone: (+84) 326.029.421

✉️ Email (work): nxdbao@hcmut.edu.vn
✉️ Email (personal): nxdbao@gmail.com

Research interest

My research focuses on: 

• Higher-Order Optimality Conditions: Development of necessary/sufficient conditions and advanced KKT rules for nonsmooth and set-valued optimization problems.

• Generalized Derivatives & Variational Tools: New concepts of set-valued derivatives with calculus rules, metric regularity, and variational analysis techniques.

• Sensitivity Analysis: First- and higher-order sensitivity of solution maps, marginal functions, and parametric equilibrium problems.

• Constraint Qualifications & Multipliers: Analysis of generalized CQs and properties of multiplier sets ensuring robust optimality conditions.

• Convex analysis: Characterizations of convexity and generalized convexity in nonsmooth and non-Lipschitz settings.

• Applications: Optimization with generalized inequalities, equilibrium problems, generalized equations, and game-theoretic models (Nash equilibrium, minimax theorems).

Recently, my interests extend to optimization methods in data science, focusing on: robust and stable recovery in convex regularized inverse problems, accelerated gradient dynamics (ODE perspectives of Nesterov’s scheme), and stochastic subgradient algorithms for large-scale convex optimization under uncertainty.