People

Dr Tao Gao

Lecturer
School of Mathematics, Statistics and Actuarial Science (SMSAS)
Dr Tao Gao

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

  • PhD Mathematics University College London, (2016)

  • MSc Mathematical Modelling University College London, (2011)

  • MSc Applied Mathematics Imperial College London, (2010)

  • Licence (bachelor) Mathematics Université Paris VI, (2009)

Appointments

University of Essex

  • Lecturer in Mathematical Sciences, School Of Mathematics, Statistics and Actuarial Science, University of Essex (1/5/2023 - present)

  • Fixed-term Lecturer in Statistical Data Science, Department of Mathematical Sciences, University of Essex (28/11/2022 - 30/4/2023)

  • Sessional Lecturer in mathematics and statistics, Kaplan International Pathways, University of Essex International College (1/7/2019 - 30/8/2019)

Other academic

  • Research Fellow, Schoool of Computing and Mathematical Sciences, University of Greenwich (5/11/2019 - 4/11/2022)

  • Research Associate, Department of Mathematical Sciences, University of Bath (2/10/2017 - 31/5/2019)

  • LMS Research Fellow, Department of Mathematics, Imperial College London (1/10/2016 - 31/3/2017)

Research and professional activities

Research interests

Nonlinear waves

Key words: fluid
Open to supervise

Applied Mathematics

Key words: Asymptotic Analysis
Open to supervise

Numerical Optimisation

Key words: Non-convex optismisation
Open to supervise

Uncertainty quantification

Key words: stochastic
Open to supervise

Fluid mechanics

Key words: Interface
Open to supervise

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

  • Mechanics and Relativity (MA105)

  • Mathematics Careers and Employability (MA199)

  • 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

Contact

t.gao@essex.ac.uk

Location:

3A.526, Colchester Campus