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