Education
2015 - 2020 Ph.D. Applied and Computational Mathematics California Institute of Technology
2011 - 2015 B.Sc. Mathematics Peking University
2012 - 2015 B.Sc. Physics (double major) Peking University
2011 - 2015 B.Sc. Mathematics Peking University
2012 - 2015 B.Sc. Physics (double major) Peking University
Research Interests
Matrix analysis: positive definite matrices, trace inequalities, Lieb's concavity theorem, operator interpolationRandom matrix theory: matrix concentration inequalities, Markov process, matrix martingalePartial differential equations: Navier-Stokes equations, Euler equations, singular solution, dynamic rescaling method
Selected Publication
1. De Huang, Joal A. Tropp. From Poincaré inequalities to nonlinear matrix concentration. Bernoulli, 27(3): 1724-1744, 2021.
2. Jiajie Chen, Thomas Y. Hou, De Huang. On the finite-time blowup of the De Gregorio model for the 3D Euler equations. Communications on Pure and Applied Mathematics, 74(6): 1282-1350, 2021.
3. De Huang, Joal A. Tropp. Nonlinear matrix concentration via semigroup methods. Electronic Journal of Probability, 26: 1-31, 2020.
4. De Huang. Generalizing Lieb’s Concavity Theorem via operator interpolation. Advances in Mathematics, 369: 107208, 2020.
5. De Huang. A generalized Lieb’s theorem and its applications to spectrum estimates for a sum of random matrices. Linear Algebra and its Applications, 579: 419-448, 2019.
2. Jiajie Chen, Thomas Y. Hou, De Huang. On the finite-time blowup of the De Gregorio model for the 3D Euler equations. Communications on Pure and Applied Mathematics, 74(6): 1282-1350, 2021.
3. De Huang, Joal A. Tropp. Nonlinear matrix concentration via semigroup methods. Electronic Journal of Probability, 26: 1-31, 2020.
4. De Huang. Generalizing Lieb’s Concavity Theorem via operator interpolation. Advances in Mathematics, 369: 107208, 2020.
5. De Huang. A generalized Lieb’s theorem and its applications to spectrum estimates for a sum of random matrices. Linear Algebra and its Applications, 579: 419-448, 2019.