Dr Tao Gao
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Email
t.gao@essex.ac.uk -
Telephone
+44 (0) 1206 874028
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Location
3A.526, Colchester Campus
Profile
Biography
Tao Gao obtained a bachelor's degree in Mathematics from University Paris VI, France. He completed an MSc degree in Applied Mathematics from Imperial College London with a dissertation concerned with random matrix theory in mathematical physics, and an MSc in Mathematical Modelling from University College London with a dissertation concerned with flow separation in fluid mechanics. In 2016, he was awarded a PhD in Mathematics from University College London for his work on free-surface waves in fluid mechanics. Prior to joining the University of Essex as a lecturer in late 2022, he worked consecutively at Imperial College London, the University of Bath and the University of Greenwich as a postdoc. Tao Gao has expertise in free boundary problems, nonlinear waves, numerical and applied mathematics, uncertainty quantification and optimisation.
Qualifications
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PhD Mathematics University College London, (2016)
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MSc Mathematical Modelling University College London, (2011)
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MSc Applied Mathematics Imperial College London, (2010)
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Licence (bachelor) Mathematics Université Paris VI, (2009)
Appointments
University of Essex
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Lecturer in Mathematical Sciences, School Of Mathematics, Statistics and Actuarial Science, University of Essex (1/5/2023 - present)
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Fixed-term Lecturer in Statistical Data Science, Department of Mathematical Sciences, University of Essex (28/11/2022 - 30/4/2023)
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Sessional Lecturer in mathematics and statistics, Kaplan International Pathways, University of Essex International College (1/7/2019 - 30/8/2019)
Other academic
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Research Fellow, Schoool of Computing and Mathematical Sciences, University of Greenwich (5/11/2019 - 4/11/2022)
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Research Associate, Department of Mathematical Sciences, University of Bath (2/10/2017 - 31/5/2019)
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LMS Research Fellow, Department of Mathematics, Imperial College London (1/10/2016 - 31/3/2017)
Research and professional activities
Research interests
Nonlinear waves
Applied Mathematics
Numerical Optimisation
Uncertainty quantification
Fluid mechanics
Conferences and presentations
A novel numerical observation of parasitic capillary ripples
Invited presentation, Keynote presentation, Essex Workshop on applied and numerical mathematics, University of Essex, Colchester, United Kingdom, 25/3/2024
Nonlinear interactions of capillary-gravity waves in the presence of normal electric fields
Invited presentation, ICMS workshop on Waves and Free Surface Flows, ICMS, Edinburgh, United Kingdom, 19/5/2023
Symmetry-breaking in capillary-gravity waves
Invited presentation, Workshop on Physical Applied Mathematics and Data Science, ShanghaiTech University, Shanghai, China, 9/1/2020
Nonlinear hydroelastic waves on a linear shear current at finite depth
Invited presentation, Workshop on Nonlinear Waves - Theory, Computation and Real-World Applications, Tsinghua Sanya International Mathematics Forum, Beijing, China, 10/1/2019
New hydroelastic waves and their dynamics
Invited presentation, Workshop on Nonlinear water waves - an interdisciplinary interface, Erwin Schrödinger Institute, Vienna, Austria, 30/11/2017
Nonsymmetric Capillary-Gravity waves on water of infinite depth
BAMC, Oxford, United Kingdom, 5/4/2016
Hydroelastic waves on water of infinite depth
BAMC, Cambridge, United Kingdom, 1/4/2015
Teaching and supervision
Current teaching responsibilities
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Mechanics and Relativity (MA105)
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Mathematics Careers and Employability (MA199)
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Real Analysis (MA203)
Publications
Journal articles (18)
Gao, T., Wang, Z. and Papageorgiou, D., (2024). Singularities of Capillary-Gravity Waves on Dielectric Fluid Under Normal Electric Fields. SIAM Journal on Applied Mathematics. 84 (2), 523-542
Gao, T., Wang, Z. and Vanden-Broeck, J-M., (2023). Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields. Physica D: Nonlinear Phenomena. 446, 133651-133651
Flamarion, M., Gao, T. and Ribeiro-Jr, R., (2023). An investigation of the flow structure beneath solitary waves with constant vorticity on a conducting fluid under normal electric fields. Physics of Fluids. 35 (3), 037122-037122
Olawale, L., Gao, T., George, E. and Lai, C-H., (2023). Response of an Euler–Bernoulli beam subject to a stochastic disturbance. Engineering with Computers. 39 (6), 4185-4197
Doak, A., Gao, T. and Vanden-Broeck, J-M., (2022). Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields. The Quarterly Journal of Mechanics and Applied Mathematics. 75 (3), 215-234
Flamarion, MV., Gao, T., Ribeiro-Jr, R. and Doak, A., (2022). Flow structure beneath periodic waves with constant vorticity under normal electric fields. Physics of Fluids. 34 (12), 127119-
Gao, T., Milewski, PA. and Wang, Z., (2021). Capillary‐gravity solitary waves on water of finite depth interacting with a linear shear current. Studies in Applied Mathematics. 147 (3), 1036-1057
Doak, A., Gao, T., Vanden-Broeck, J-M. and Kandola, JJS., (2020). Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields. The Quarterly Journal of Mechanics and Applied Mathematics. 73 (3), 231-250
Gao, T., Wang, Z. and Milewski, PA., (2019). Nonlinear hydroelastic waves on a linear shear current at finite depth. Journal of Fluid Mechanics. 876, 55-86
Gao, T., Doak, A., Vanden-Broeck, J-M. and Wang, Z., (2019). Capillary–gravity waves on a dielectric fluid of finite depth under normal electric field. European Journal of Mechanics - B/Fluids. 77, 98-107
Gao, T., Milewski, P. and Vanden-Broeck, J-M., (2019). Hydroelastic solitary waves with constant vorticity. Wave Motion. 85, 84-97
Gao, T., Vanden-Broeck, J-M. and Wang, Z., (2018). Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth. IMA Journal of Applied Mathematics. 83 (3), 436-450
Gao, T., Milewski, PA., Papageorgiou, DT. and Vanden-Broeck, J-M., (2018). Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields. Journal of Engineering Mathematics. 108 (1), 107-122
Asimit, AV., Gao, T., Hu, J. and Kim, E-S., (2018). Optimal Risk Transfer: A Numerical Optimization Approach. North American Actuarial Journal. 22 (3), 341-364
Gao, T., Wang, Z. and Vanden-Broeck, J-M., (2017). Investigation of symmetry breaking in periodic gravity–capillary waves. Journal of Fluid Mechanics. 811, 622-641
Gao, T., Wang, Z. and Vanden-Broeck, J-M., (2016). On asymmetric generalized solitary gravity–capillary waves in finite depth. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 472 (2194), 20160454-20160454
Gao, T., Wang, Z. and Vanden-Broeck, J-M., (2016). New hydroelastic solitary waves in deep water and their dynamics. Journal of Fluid Mechanics. 788, 469-491
Gao, T. and Vanden-Broeck, J-M., (2014). Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves. Physics of Fluids. 26 (8)
Thesis dissertation (1)
Gao, T., (2016). Nonlinear flexural-gravity free-surface flows and related gravity-capillary flows
Grants and funding
2023
Application for the QJMAM Fund for Applied Mathematics � Organising a two-day workshop on applied and numerical mathematics
Institute of Mathematics & its Applications
Two-day workshop on applied and numerical mathematics
London Mathematical Society
