Name | Darren Ong Chung Lee | |
Current Position | Professor | |
Room No. | A4#460 | |
Programme | Mathematics and Applied Mathematics | |
Telephone | +603-76102061 | |
Website |
BIOGRAPHY
For more information about me, please visit my website at https://dongcl.wixsite.com/darrenong
RESEARCH INTERESTS
Spectral Theory, Quantum Dynamics
EDUCATIONAL BACKGROUND
PhD (Mathematics), Rice University, USA (2014)
MA (Mathematics), Rice University, USA (2012)
BSc (Mathematics), Texas Christian University, USA (2009)
WORKING EXPERIENCE
Postdoc, Department of Mathematics, University of Oklahoma, United States of America (2014-2016)
RESEARCH EXPERIENCE / GRANTS
Principal Investigator for NSF China Young Scientist Grant (2022-2025) “准周期CMV(Cantero-Moral-Velazquez)算子与量子游走的应用”. Grant from the National Natural Science Foundation of China, worth 300,000 Chinese Yuan
Principal Investigator for Fundamental Research Grant Scheme (2022-2025) “Aperiodic quantum walk models exhibiting exotic spectral behaviour connected to quantum computing algorithms”. Grant from the Malaysian Ministry of Higher Education, worth RM117,500
Project Member for Fundamental Research Grant Scheme (2020-2022) “Understanding aperiodically ordered patterns in crystalline structures”. Grant from the Malaysian Ministry of Higher Education, worth RM76200.
Principal Investigator for Fundamental Research Grant Scheme (2018-2020) “Spreading rates of quantum random walks in an almost periodic environment, with potential applications in quantum computing”. Grant from the Malaysian Ministry of Higher Education, worth RM75700.
REPRESENTATIVE PUBLICATIONS
Chris Cedzich, Jake Fillman, Long Li, Darren C. Ong and Qi Zhou. (2024) Exact Mobility Edges for Almost-Periodic CMV Matrices via Gauge Symmetries.International Mathematics Research Notices 2024.8,6906–6941
Chris Cedzich, Jake Fillman, Darren C. Ong. (2023) Almost Everything About the Unitary Almost Mathieu Operator. Communications in Mathematical Physics 403,745–794
Damanik David, Shuzheng Guo, Darren C. Ong. (2021) Simon's OPUC Hausdorff dimension conjecture. Mathematische Annalen 387, 1-37
Injo Hur and Darren C. Ong. (2021) Restrictions on the Existence of a Canonical System Flow Hierarchy. Integral Equations and Operator Theory 93 (40).
Shuzheng Guo, Damanik David, Darren C. Ong. (2020) Subordinacy theory for extended CMV matrices. Science China Mathematics.
Wencai Liu and Darren C. Ong. (2020) Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators . Journal d'Analyse Mathématique 141, 625–661
Darren C. Ong and Remling C., (2019). Generalized Toda Flows. Transactions of the American Mathematical Society 371, 5069-5081 .
Fillman J., Darren C. Ong , and Zhenghe Zhang. (2017). Spectral characteristics of the unitary critical almost-Mathieu operator. Communications in Mathematical Physics, 351(2), 525–561.
Damanik D., Fillman J., and Darren C. Ong . (2016). Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices. Journal de Mathématiques Pures et Appliquées, 105(3), 293-341.
Lukic M., and Darren C. Ong . (2015). Wigner-von Neumann type perturbations of periodic Schrödinger operators. Transactions of the American Mathematical Society 367, 707-724.
HONORS/AWARDS
Third Prize, Maths Art Category, 2020 CARMA Maths Art/ Poster Competition (Priority Research Center for Computer-Assisted Research Mathematics and its Applications, University of Newcastle, Australia)
Best Virtual Presentation Award, 16th IMT-GT International Conference of Mathematics, Statistics, and their Applications
Bronze Medallist, International Mathematical Olympiad, 2004