Di Qi  |  祁 迪

Curriculum Vitae

Research Areas

Publication List



Contact:

Courant Institute
New York University
251 Mercer Street
New York, NY 10012-1185


Email:

qidi at cims dot nyu dot edu

Currently a post-doctoral research fellow at the Courant Institute of Mathematical Sciences and Center of Atmosphere and Ocean Science, New York University. I'm interested in the general area of applied and computational mathematics, where mathematical tools and numerical methods are developed to address problems in science and engineering. My mentor is Prof. Andrew J Majda.

My current research topics mainly focus on stochastic analysis, statistical mechanism, and uncertainty quantification. I'm working on model reduction strategies, statistical control methods, statistical stability analysis, turbulent diffusion, and data assimilation for complex turbulent dynamical systems, including their applications in fluid dynamics, atmosphere-ocean science, and plasma physics. For more details, see my research projects and publication list.

You can find my CV here.

Education & Qualifications arrow right

  • 2017   Ph.D. in Mathematics/Atmosphere and Ocean Science, Courant Institute of Mathematical Sciences, New York University.
  • 2012    B.S. in Mathematics (major) and Physics (minor), Shanghai Jiao Tong University, China.

Publications & Preprints arrow right

  • Qi, D.* and Majda, A.J., "Zonal jet creation from secondary instability of drift waves for plasma edge turbulence", submitted, Chin. Ann. Math., arXiv:1901.08590, December 2018 [.pdf]
  • Majda, A.J., Moore, M.N.J., and Qi, D.*, "A statistical dynamical model to predict extreme events and anomalous features in shallow water waves with abrupt depth change", submitted, Proc. Natl. Acad. Sci., December 2018 [.pdf]
  • Qi, D.*, Majda, A.J., and Cerfon, A.J., "A flux-balanced model for collisional plasma edge turbulence: numerical simulations with different aspect ratios", submitted, Physics of Plasmas, arXiv:1812.00131, November 2018 [.pdf]
  • Qi, D.* and Majda, A.J., "Transient metastability and selective decay for the coherent zonal structures in plasma edge turbulence", submitted, J. Nonlinear Sci., September 2018 [.pdf]
  • Majda, A.J. and Qi, D.*, "Using statistical functionals for effective control of inhomogeneous complex turbulent dynamical systems", Physica D: Nonlinear Phenomena, doi: 10.1016/j.physd.2018.12.003, December 2018 [.pdf]
  • Qi, D.* and Majda, A.J., "Rigorous statistical bounds in uncertainty quantification for one-layer turbulent geophysical flows", J. Nonlinear Sci., 28(5), pp. 1709–1761, doi: 10.1007/s00332-018-9462-1, October 2018 [.pdf]
  • Majda, A.J., Qi, D., and Cerfon, A.J., "A flux-balanced fluid model for collisional plasma edge turbulence: model derivation and basic physical features", Physics of Plasmas, 25(10), p.102307, doi: 10.1063/1.5049389, September 2018 [.pdf]
  • Qi, D.* and Majda, A.J., "Predicting extreme events for passive scalar turbulence in two-layer baroclinic flows through reduced-order stochastic models", Comm. Math. Sci., 16(1), pp.17–51, doi: 10.4310/CMS.2018.v16, April 2018 [.pdf]
  • Majda, A.J. and Qi, D.*, "Strategies for reduced-order models for predicting the statistical responses and uncertainty quantification in complex turbulent dynamical systems", SIAM Review, 60(3), pp. 491–549, doi: 10.1137/16M1104664, July 2017 [.pdf]
  • Majda, A.J. and Qi, D.*, "Effective control of complex turbulent dynamical systems through statistical functionals", Proc. Natl. Acad. Sci., 114(22), pp. 5571–5576, doi: 10.1073/pnas.1704013114 , May 2017 [.pdf]
  • Lee, Y., Majda, A.J., and Qi, D., "Stochastic superparameterization and multiscale filtering of turbulent tracers", SIAM--Multiscale Model. Simul., 15(1), pp. 215–234, doi: 10.1137/16M1080239 , January 2017 [.pdf]
  • Qi, D.* and Majda, A.J., "Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography", Physica D: Nonlinear Phenomena, 343, pp. 7–27, doi: 10.1016/j.physd.2016.11.006 , November 2016 [.pdf]
  • Lee, Y., Majda, A.J., and Qi, D., "Preventing catastrophic filter divergence using adaptive additive inflation for baroclinic turbulence", Mon. Weather Rev., 145(2), pp. 669–682, doi: 10.1175/MWR-D-16-0121.1 , October 2016 [.pdf]
  • Qi, D.* and Majda, A.J., "Low-dimensional reduced-order models for statistical response and uncertainty quantification: two-layer baroclinic turbulence", J. Atmos. Sci., 73(12), pp. 4609–4639, doi: 10.1175/JAS-D-16-0192.1 , August 2016 [.pdf]
  • Majda, A.J. and Qi, D.*, "Improving prediction skill of imperfect turbulent models through statistical response and information theory", J. Nonlinear Sci., 26(1), pp. 233–285, doi: 10.1007/s00332-015-9274-5 , February 2016 [.pdf]
  • Qi, D.* and Majda, A.J., "Predicting fat-tailed intermittent probability distributions in passive scalar turbulence with imperfect models through empirical information theory", Comm. Math. Sci., 14(6), pp. 1687–1722, doi: 10.4310/CMS.2016.v14 , January 2016 [.pdf]
  • Qi, D.* and Majda, A.J., "Blended particle methods with adaptive subspaces for filtering turbulent dynamical systems", Physica D: Nonlinear Phenomena, 298, pp. 21–41, doi:10.1016/j.physd.2015.02.002 , April 2015 [.pdf]
  • Majda, A.J., Qi, D., and Sapsis, T.P., "Blended particle filters for large dimensional chaotic dynamical systems", Proc. Natl. Acad. Sci., 111(21), pp. 7511–7516, doi: 10.1073/pnas.1405675111, May 2014 [.pdf]
  • (∗ indicates the corresponding author)

Teaching & Course information arrow right

Conferences & Talks arrow right

Awards & Fellowships arrow right

  • 2017 Kurt O. Friedrichs prize for an outstanding dissertation in mathematics, New York University.
  • 2012 -- 2017 New York University MacCracken Graduate Scholarship, New York University.