Dr Hong Duong BSc MSc PhD

Dr Hong Duong

School of Mathematics
Associate Professor

Contact details

Email
h.duong@bham.ac.uk
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Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Hong Duong is an Associate Professor in Mathematics and Statistics. Hong Duong’s research interests span a wide range of topics in the intersections of analysis, applied probability, and computational mathematics including partial differential equations, interacting particle systems, non-equilibrium thermodynamics, and evolutionary game theory. Most of his research are inspired from applications in statistical physics and biological/social/material sciences. His research has been supported from the ITN Fronts and Interfaces in Science and Technology (EU), the NWO (Netherlands), the London Mathematical Society (UK) and the EPSRC (UK).

Hong Duong has taught a wide range of mathematical courses including calculus, linear algebra and linear programming, stochastic processes and partial differential equations.

Dr Hong Duong personal webpage

Qualifications

  • PhD in Mathematics, cum laude, Marie-Curie PhD Fellowship jointly between University of Bath and Eindhoven University of Technology, Netherlands, 2014
  • MSc in Industrial and Applied Mathematics, Erasmus Mundus Master Program jointly between Eindhoven University of Technology, Netherlands and TU Kaiserslautern, Germany, 2010
  • BSc in Applied Mathematics and Informatics, Hanoi University of Science and Technology, Vietnam, 2006

Biography

Dr Hong Duong received his PhD in Mathematics (Cumlaude) in September 2014 from the ITN Marie-Curie PhD Fellow Programme jointly between University of Bath (UK) and Eindhoven University of Technology (the Netherlands). From October 2014 to September 2017, he was a Research Fellow at Mathematics Institute, University of Warwick (UK). From October 2017 to July 2018, he held a prestigious Chapman Fellow at Department of Mathematics, Imperial College London (UK). He became an Assistant Professor in School of Mathematics, University of Birmingham in July 2018, and has been promoted to Associate Professor in August 2022.

Teaching

  • Linear Algebra and Linear Programming, Jinan-Birmingham Joint Institute
  • Stochastic Processes

Postgraduate supervision

Hong Duong has successfully supervised/mentored postdocs, PhD students, MSc students as well as summer research projects. He is keen to supervise students in a number of research directions, in particular, partial differential equations, interacting particle systems, evolutionary game theory and population dynamics. Please see his research interests and publications for more details. If you are interested in working with him, he would be happy to hear from you.

Research

Research interests

Hong Duong’s research interests span a wide range of topics in the intersections of analysis, applied probability and computational mathematics. Most of his research are inspired from applications in statistical physics and biological/social/material sciences. Specifically, he has been working on:

  • Partial differential equations, variational calculus, optimal transport,
  • Nonequilibrium thermodynamics, GENERIC (General Equation for Non-Equilibrium Reversible-Irreversible Coupling) framework,
  • Interacting particle systems,
  • Model reduction and coarse graining of complex systems,
  • Evolutionary game theory, evolution and promotion of cooperation,
  • Random polynomial theory.

Current projects

  • Rigorous coarse-graining of defects at positive temperature, EPSRC Small Scheme Grant, EP/W008041/1 (2022-2023)
  • Variational structures, convergence to equilibrium and multiscale analysis for non-Markovian systems, EPSRC New Investigator Award, EP/V038516/1 (2021-2023)

Other activities

Hong Duong’s has organised a couple of international workshops and conferences. He has regularly been invited to deliver research talks at conferences/workshops/departmental seminars. He has been reviewers for many mathematical and interdisciplinary journals and grant applications. He has been a member of the Equality-Diversity-Inclusion (EDI) Committee at the School of Mathematics, University of Birmingham during 2018-2021.

Publications

Recent publications

Article

Duncan, AB, Duong, MH & Pavliotis, GA 2023, 'Brownian Motion in an N-scale periodic Potential', Journal of Statistical Physics.

Duong, MH & Ottobre, M 2023, 'Non-reversible processes: GENERIC, hypocoercivity and fluctuations', Nonlinearity.

Duong, MH & Zimmer, J 2023, 'On decompositions of non-reversible processes', Journal of Physics: Conference Series.

Kum, S, Duong, MH, Lim, Y & Yun, S 2022, 'A GPM-based algorithm for solving regularized Wasserstein barycenter problems in some spaces of probability measures', Journal of Computational and Applied Mathematics, vol. 416, 114588. https://doi.org/10.1016/j.cam.2022.114588

Colangeli, M, Duong, MH & Muntean, A 2022, 'A reduction scheme for coupled Brownian harmonic oscillators', Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 50, 505002. https://doi.org/10.1088/1751-8121/acab41

Duong, MH & Shang, X 2022, 'Accurate and robust splitting methods for the generalized Langevin equation with a positive Prony series memory kernel', Journal of Computational Physics, vol. 464, 111332. https://doi.org/10.1016/j.jcp.2022.111332

Duong, MH, Adams, D & dos Reis, G 2022, 'Entropic regularisation of non-gradient systems', SIAM Journal on Mathematical Analysis, vol. 54, no. 4. https://doi.org/10.1137/21M1414668

Can, VH, Duong, MH & Pham, VH 2022, 'On the expected number of real roots of random polynomials arising from evolutionary game theory', Communications in Mathematical Sciences, vol. 20, no. 6, pp. 1613-1636. https://doi.org/10.4310/CMS.2022.v20.n6.a7

Duong, MH, Adams, D & dos Reis, G 2022, 'Operator-splitting schemes for degenerate, non-local, conservative-dissipative systems', Discrete and Continuous Dynamical Systems - Series A, vol. 42, no. 11, pp. 5453-5486. https://doi.org/10.3934/dcds.2022109

Duong, MH & Han, TA 2021, 'Cost efficiency of institutional incentives for promoting cooperation in finite populations', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 477, no. 2254, 20210568. https://doi.org/10.1098/rspa.2021.0568

Duong, MH & Han, TA 2021, 'Statistics of the number of equilibria in random social dilemma evolutionary games with mutation', European Physical Journal B. Condensed Matter and Complex Systems, vol. 94, 171. https://doi.org/10.1140/epjb/s10051-021-00181-0

Braun, J, Duong, MH & Ortner, C 2020, 'Thermodynamic limit of the transition rate of a crystalline defect', Archive for Rational Mechanics and Analysis, vol. 238, pp. 1413-1474. https://doi.org/10.1007/s00205-020-01568-6

Duong, MH & Jin, B 2020, 'Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation', Communications in Mathematical Sciences, vol. 18, no. 7, pp. 1949–1975. https://doi.org/10.4310/CMS.2020.v18.n7.a6

Conference contribution

Duong, MH & Han, TA 2022, Cost-efficiency of institutional reward and punishment in cooperation dilemmas. in S Holler, R Löffler & S Bartlett (eds), Proceedings of Artificial Life Conference 2022., 35, ALIFE: proceedings of the artificial life conference, vol. 34, MIT Press, pp. 241-243, ALIFE 2022: The 2022 Conference on Artificial Life, 18/07/22. https://doi.org/10.1162/isal_a_00517

Duong, MH & Han, TA 2020, The effect of mutation on equilibrium properties of deterministic and random evolutionary games. in ALIFE 2020: The 2020 Conference on Artificial Life. MIT Press. https://doi.org/https://direct.mit.edu/isal/proceedings/isal2020/32/248/98404

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