Assistant Professor of Mathematical Sciences

Department(s) or Program(s)

Biography

Dr Wang-Hung Tse has held a post-doctoral research position at the Trinity Western University (TWU) for the SOSSTA project, and has worked on large-scale satellite data assimilation and simulation data generation for air to sea interaction and sea surface temperature models at terabyte scales.

His primary research interest is the pattern formation of concentrated phenomena, and the application of such ideas in physical, biological, social and meteorological sciences. A key focus is the study of the role of spatial and causal nonlinearity in the stability of patterns. New directions include the integration of theoretical advances (e.g. modelling and its analysis, existence of intrinsic length scales) and experimental discoveries (e.g. feature detection in a large dataset) using techniques from machine learning.

Research & Scholarship

Current research of Dr. Tse focuses on pattern formation in biological morphogenesis, for example, the formation of fingers, organs, hair follicles etc. We employ a range of tools from applied mathematics and computational biology to understand models of biological pattern formation (and deformation) arising from a systems biology perspective.

Our research activities include (i) discrete agent-based modeling to explore possible pattern types, (ii) in-silico computer experiments of established continuum models to generate pattern outcome hypotheses (e.g. number of fingers NOT being five), and (iii) explain why it happens and when through mathematical analysis of the governing equations.

We have a strong inclination to produce reproducible research and to communicate our research in interdisciplinary settings.

Education

Ph.D., 2016, The University of British Columbia, Canada, affiliated with the Institute of Applied Mathematics.

M.Phil., 2009, The Chinese University of Hong Kong, HKSAR.

Recent Publications

  1. Eric Jansen, Sam Pimentel, Wang-Hung Tse, Dimitra Denaxa, Gerasimos Korres, Isabelle Mirouze, and Andrea Storto, Using Canonical Correlation Analysis to produce dynamically-based highly-efficient statistical observation operators, Special Issue The Copernicus Marine Environment Monitoring Service (CMEMS): scientific advances (2019), https://doi.org/10.5194/os-15-1023-2019
  2. Sam Pimentel, Wang-Hung Tse, Huizhi Xu, Dimitra. Denaxa, Eric Jansen, Gerasimos Korres, Isabelle Mirouze, Andrea Storto, Modeling the near-surface diurnal cycle of sea surface temperature in the Mediterranean Sea, Journal of Geophysical Research, Oceans (2018), https://doi.org/10.1029/2018JC014289.
  3. Wang-Hung Tse and Michael J. Ward. Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol, SIAM Journal of Applied Dynamical Systems, 17 (2018), no. 3, pp. 2018–2075.
  4. Wang-Hung Tse and Michael J. Ward. Hotspot Formation and Dynamics for a Continuum Model of Urban Crime, European Journal of Applied Mathematics, 27 (2016), no. 3, pp. 583–624.
  5. Iain Moyles, Wang-Hung Tse, and Michael J. Ward. On Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems, Studies in Applied Mathematics, 136 (2016), no. 1, 89–136. Selected as one of the four papers to appear on “Highlights of the Year 2016 Virtual Issue”.
  6. Wang-Hung Tse, Juncheng Wei and Matthias Winter. The Gierer-Meinhardt System on a Compact Two-Dimensional Riemannian Manifold: Interaction of Gaussian Curvature and Green’s Function, Journal de Mathématiques Pures et Appliquées, 94 (2010), no. 4, pp. 366–397.
  7. Wang-Hung Tse, Juncheng Wei and Matthias Winter. Spikes for the Gierer-Meinhardt System with ManySegments of Different Diffusivities, Bulletin of Academia Sinica (New Series), 3 (2008),no. 4, pp. 525-566.

Expertise

Applied mathematical analysis of singularly perturbed differential equations, nonlocal eigenvalue value problems (NLEP), numerical bifurcation and continuation methods, coupled partial differential equation systems on flat and curved domains, high-performance computing (HPC) for agent-based model simulation, hypothesis generation and satellite and experimental data assimilation.

Courses Taught

At Trinity Western University:

MATH 321: Differential Equations, Fall 2019

MATH 223: Calculus III, Fall 2019

MATH 123: Calculus I, Spring 2018;

MATH 101: Business Mathematics: Fall 2015, Fall 2016 (2 sections), Spring 2017, Fall 2017, Fall 2019

MATH 323: Analysis: Fall 2015

At University of British Columbia:

MATH 101 Integral Calculus with Applications to Physical Sciences and Engineering, Spring 2016 (2 sections)

MATH 215/255 Elementary Differential Equations I, Fall 2013

MATH 101 Integral Calculus with Applications to Physical Sciences and Engineering, Spring 2012