Curriculum Vitae

Current Employment

• Heriot-Watt University
  • Associate Professor in the Department of Mathematics, 1 October 2018-

Employment History

• Durham University
  • Associate Professor in the Department of Mathematical Sciences, 1 July 2018-30 September 2018
  • Assistant Professor in the Department of Mathematical Sciences, September 2014-30 June 2018
  
  
• University of Glasgow
  • Temporary Lecturer in the School of Mathematics and Statistics, September 2012-September 2014


• Eindhoven University of Technology, The Netherlands
  • Postdoc in the Centre for Analysis, Scientific computing and Applications, May 2010-September 2012
  • Advisor: Mark Peletier


• University of Bonn, Germany
  • Postdoc in the Hausdorff Center for Mathematics and the Institute for Applied Mathematics, March 2009-May 2010
  • Advisor: Stefan Müller


• Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
  • Postdoc, October 2007-March 2009
  • Advisor: Stefan Müller

Education

• University of Maryland, College Park, USA
  • Ph.D. in Mathematics, 2002-2007
  • Advisor: Stuart S. Antman
  • Thesis: The Taylor-Couette problem for flow in a deformable cylinder
  • Courses taken


• Durham University, UK
  • M.Math. Honours Mathematics, First-Class Honours, 1998-2002
  • Master's thesis project advisor: Brian Straughan
  • Thesis: Linear and nonlinear analysis of thermal convection and bioconvection problems

Teaching Experience

• Heriot-Watt University
  • F17CB Calculus B (lecturer, tutor)
  • F18NA Numerical Analysis A (lecturer, tutor, computer labs)
  • F10ND/F11ND/F71NT Numerical Techniques for PDEs (lecturer, computer labs)
  • F10MM/F11MM Optimisation (lecturer, computer labs)
  • 4th year project advisor
  • 5th year project advisor
  • MSc project advisor
  • MAC-MIGS PhD course Mathematical Modelling and Applied Analysis
  • MIGS PhD course Optimal Transport Theory
  
  
• Durham University
  • Approximation Theory and Solution of ODEs III/IV (lecturer)
  • Partial Differential Equations III/IV (lecturer)
  • Analysis I (tutor)
  • Numerical Analysis II (tutor and computer labs)
  • 3H project advisor (16 students)
  • 4H project advisor (3 student)
  • MSc project advisor (2 students)


• University of Glasgow
  • 1R Calculus (lecturer)
  • E1 Calculus for Aeronautical Engineers (lecturer)
  • 2A Multivariable Calculus (lecturer)
  • 2D Topics in Linear Algebra and Calculus (lecturer)
  • 2M Financial Modelling (tutor)
  • 3H Mechanics of Rigid and Deformable Bodies (lecturer)
  • 4H project advisor (2 students)
  • 5M project advisor (1 student)
  • SMSTC PhD course Applied Mathematics Methods (tutor)


• Eindhoven University of Technology
  • 2WA17 Ordinary Differential Equations (tutor)


• University of Maryland
  • MATH 115 Precalculus (lecturer)
  • MATH 242/ENEE 241 Numerical Techniques in Engineering (computer labs)
  • AMSC 466 Introduction to Numerical Analysis (grader)
  • AMSC 666 Numerical Analysis I (grader)

Publications

1. Buze, M., Feydy, J., Roper, S.M., Sedighiani K. & Bourne, D.P. (2024) Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport, arXiv:2403.03571. PDF software
2. Bourne, D.P., Pearce, M. & Roper, S.M. (2023) Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport, Mechanics Research Communications 127, 104023. PDF software
3. Egan, C.P., Bourne, D.P., Cotter, C.J., Cullen, M.J.P., Pelloni, B., Roper, S.M. & Wilkinson, M. (2022) A new implementation of the geometric method for solving the Eady slice equations, Journal of Computational Physics 469, 111542. PDF software
4. Bourne, D.P., Egan, C., Pelloni, B. & Wilkinson, M. (2022) Semi-discrete optimal transport methods for the semi-geostrophic equations, Calculus of Variations and Partial Differential Equations, 61, 39. PDF
5. Bourne, D.P. & Cristoferi, R. (2021) Asymptotic optimality of the triangular lattice for a class of optimal location problems, Communications in Mathematical Physics, 387, 1549-1602. PDF
6. Bourne, D.P., Mulholland, A.J., Sahu, S. and Tant, K.M.M. (2021) An inverse problem for Voronoi diagrams: A simplified model of non-destructive testing with ultrasonic arrays, Mathematical Methods in the Applied Sciences, 44, 3727-3745 PDF
7. Bourne, D.P., Kok, P.J.J., Roper, S.M. & Spanjer, W.D.T. (2020) Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes, Philosophical Magazine, 100, 2677-2707. PDF software
8. Bourne, D.P., Schmitzer, B. & Wirth, B. (2018) Semi-discrete unbalanced optimal transport and quantization, submitted. PDF
9. Madge, J., Bourne, D. & Miller, M.A. (2018) Controlling fragment competition on pathways to addressable self-assembly, Journal of Physical Chemistry B, 122, 9815-9825. PDF
10. Bourne, D.P., Cushing, D., Liu, S., Münch F. & Peyerimhoff, N. (2018) Ollivier-Ricci idleness functions of graphs. SIAM Journal on Discrete Mathematics, 32, 1408-1424. PDF
11. Bourne, D.P., Conti, S. & Müller, S. (2017) Energy bounds for a compressed elastic film on a substrate. Journal of Nonlinear Science, 27, 453-494. PDF
12. Bourne, D.P., Conti, S. & Müller, S. (2016) Folding patterns in partially delaminated thin films. In Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, Pandolfi, A. & Weinberg, K. (eds.), Springer, 25-39. PDF
13. Avelino, C., Bourne, D.P., Ferreira, F., Rasteiro, D. & Santos, J. (2016) Scheduling the repair of aircraft components - a case study. Mathematics-in-Industry Case Studies, 7. PDF
14. Bourne, D.P. & Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM Journal on Numerical Analysis, 53, 2545-2569. PDF
15. Antman, S.S. & Bourne, D.P. (2015) Steady bifurcating solutions of the Couette-Taylor problem for flow in a deformable cylinder. Journal of Dynamics and Differential Equations, 27, 457-483. PDF
16. Bourne, D.P., Peletier, M.A. & Roper, S.M. (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74, 1315-1337. PDF
17. Bourne, D.P., Peletier, M.A. & Theil, F. (2014) Optimality of the triangular lattice for a particle system with Wasserstein interaction. Communications in Mathematical Physics, 329, 117-140. PDF
18. Bourne, D.P., Fatima, T., Meurs, P.J.P. van & Muntean, A. (2014) Is adding charcoal to soil a good method for CO2 sequestration? - Modeling a spatially homogeneous soil. Applied Mathematical Modelling, 38, 2463-2475. PDF
19. Antman, S.S. & Bourne, D.P. (2010) Rotational symmetry vs. axisymmetry in shell theory. International Journal of Engineering Science, 48, 991-1005. PDF
20. Bourne, D.P., Elman, H. & Osborn, J.E. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction Part II: Analysis of convergence. Communications on Pure and Applied Analysis, 8, 143-160. PDF
21. Bourne, D.P. & Antman, S.S. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction Part I: Formulation, analysis, and computations. Communications on Pure and Applied Analysis, 8, 123-142. PDF
22. Bourne, D.P. (2003) Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Continuum Mechanics and Thermodynamics, 15, 571-579. DVI

Grants

• EPSRC grant EP/V00204X/1 Mathematical Theory of Polycrystalline Materials, £576,848, 1 April 2021 - 31 March 2025, Co-I (with John Ball PI and Lucia Scardia Co-I)
• EPSRC First grant EP/R013527/1, EP/R013527/2 Designer Microstructure via Optimal Transport Theory, £101,152, 1 Jan 2018 - 31 May 2020, PI

Invited Talks and Conferences

• Conference Organisation
  • Optimal Transport and the Calculus of Variations, ICMS, Edinburgh, 11-15 December 2023 (with Alpár Mészáros & Lucia Scardia)
  • Polycrystals: Microstructure and Plasticity, ICMS, Edinburgh, 19-22 April 2022 (with John Ball, Myrto Galanopoulou & Lucia Scardia)
  • Minisymposium MS27: Geometric Optimization Problems in Materials Science, SIAM Conference on Mathematical Aspects of Materials Science, online, 17-28 May 2021 (with Riccardo Cristoferi)
  • MAC-MIGS afternoon on Computational Optimal Transport and Applications, MAC-MIGS CDT, Edinburgh, 10 July 2020 (with Beatrice Pelloni)
  • Optimal Transport and Optimal Patterns, ICMS, Edinburgh, 2-5 September 2019 (with Riccardo Cristoferi)
  • Special Session SS120: New developments in the variational analysis of elastic and complex media, 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, 5-9 July 2018 (with Jonathan Bevan & Caterina Zeppieri)
  • Young Applied Analysts in the UK II, University of Bath, 26-27 May 2016 (with Lucia Scardia)
  • Minisymposium on Variational Methods for Rods and Shells, SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, 8-12 May 2016 (with Patrick Dondl)
  • Young Applied Analysts in the UK, University of Glasgow, 29-30 May 2014 (with Lucia Scardia)


• Recent Invited Talks & Visits
  • Applications of Optimal Transportation, Oberwolfach, 4-9 February 2024
  • LMS Invited Lecture Series 2023: Optimal transport and its applications, Durham Univeristy, 17-21 July 2023
  • British Mathematics Colloquium, Workshop on Geometric Analysis and PDEs, University of Bath, 4 April 2023
  • Invited visitor at Université Paris-Saclay, 27-31 March 2023
  • Optimal Transport Theory: Applications to Physics, Les Houches School of Physics, 12-17 March 2023
  • Optimal Transport and Machine Learning, University of Warwick, 23 January 2023
  • University of Liverpool, Applied Mathematics seminar, 7 December 2022
  • Durham University, Analysis and PDE seminar, 1 December 2022
  • Discrete Systems and Calculus of Variations, TU Munich, 7-11 November 2022
  • Newcastle University, Analysis seminar, 18 October 2022
  • Workshop on Analysis and PDEs, University of Sussex, 13-15 June 2022
  • Quantization, location, sampling and matching, Lagrange Mathematics and Computation Research Center, Paris, 14-15 March 2022
  • Université Claude Bernard Lyon 1 & ENS Lyon (online), Modelling, Analysis and Scientific Computing seminar, 4 May 2021
  • Colloquium on Artificial Microstructures (online), organized by Carola Celada-Casero, Tata Steel Europe, 18 March 2021
  • Heriot-Watt University (online), Maths Café Talk, 17 February 2021
  • University of Bath, Asymptotics, Operators, and Functionals seminar, 28 September 2020
  • Mathematical Challenges in the Electromagnetic Environment, Isaac Newton Institute, Cambridge, 15-18 September 2020
  • TU Munich, SFB Colloquium, 3 December 2019
  • ETH Zürich, Analysis Seminar, 26 November 2019
  • University of Warwick, Analysis Seminar, 7 November 2019
  • University of Strathclyde, Applied Analysis Seminar, 5 November 2019
  • 6th Applied Mathematics Symposium, University of Münster, 16-19 September 2019
  • IMA talk, University of Strathclyde, 8 May 2019
  • Minisymposium on Optimal Transport in the Analysis of Signals and Images, British Applied Mathematics Colloquium, University of Bath, 24 April 2019
  • Workshop on Calculus of Variations, University of Sussex, 19-20 March 2019
  • Mathematical Design of New Materials: Strategies and Algorithms for the Design of Alloys and Metamaterials, ICMS, Edinburgh, 11-15 March 2019
  • AIMR Workshop on Pure and Applied Mathematics, Advanced Institute of Materials Research, Tohoku University, Japan, 7-8 January 2019
  • University of Warwick, Applied Mathematics Seminar, 7 December 2018
  • University of Sussex, Analysis and PDEs seminar, 29 October 2018
  • Heriot-Watt AMS & Mathematics New Staff seminar, 20 September, 2018
  • Meeting in Applied Mathematics and Calculus of Variations, Sapienza, University of Rome, 3-6 September, 2018
  • 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, 5-9 July 2018
  • NODES Seminar, Newcastle University, 16 May 2018
  • University of Münster, Oberseminar Angewandte Mathematik, 29 November 2017
  • University of Bristol, Fluids and Materials seminar, 2 November 2017
  • Workshop on Aggregation-Diffusion PDEs: Variational Principles, Nonlocality and Systems, Anacapri, 10-14 July 2017
  • University of Newcastle, Annual School of Maths and Stats REF Impact Event, 16 June 2017
  • University of Cambridge, Geometric Analysis and Partial Differential Equations seminar, 27 February 2017
  • LMS Regional Workshop on Partially Ordered Materials: Mathematical Perspectives and Challenges, University of Bath, 21 December 2016
  • University of Glasgow, Applied Mathematics seminar, 15 December 2016
  • University of Sussex, Analysis and PDEs seminar, 21 November 2016
  • Shanghai Jiaotong Univeristy, 7 September 2016
  • PIMS Workshop on Nonlocal Variational Problems and PDEs, Pacific Institute for the Mathematical Sciences, University of British Columbia, 13-17 June 2016
  • Fourth Scottish Partial Differential Equations Colloquium, University of Dundee, 9-10 June 2016
  • Minisymposium on Defects and Patterns in Thin Elastic Structures, SIAM Conference on Mathematical Aspects of Materials Science, 8-12 May 2016
  • University of Oxford, PDE seminar, 29 February 2016
  • Variational and PDE problems in Applied Mathematics, University of Pisa, 10-12 February 2016
  • University of Nottingham, Algebra and Analysis seminar, 3 February 2016


• Outreach
  • RI Institution Masterclass for Year 8 students, University of the West of England, Bristol, 11 November 2017
  • RI Institution Masterclass for middle school students, University of Glasgow, 23 November 2013
  • RI Institution Masterclass for middle school students, University of Glasgow, 24 November 2012


• Minicourses and Lectures
  • LMS Undergraduate Summer School, University of Glasgow, 16-27 July 2018
  • Minicourse for the MIGSAA CDT: Introduction to Optimal Transport Theory, ICMS, Edinburgh, 13-14 December 2017 (4 one-hour lectures, 14:00-15:00 and 15:30-16:30 on 13 & 14 December),
    sponsored by the GMJ Learning and Research Support Fund
  • Lecture: Introduction to Optimal Transport Theory, sponsored by the GMJ Learning and Research Support Fund, University of Dundee, 12 December 2017
  • Minicourse: Applications of Voronoi diagrams in Mathematical Biology, sponsored by the GMJ Learning and Research Support Fund, University of Glasgow, 23 June 2015
  • Lecture: Theory and Applications of Voronoi Diagrams, sponsored by the GMJ Learning and Research Support Fund, University of Strathclyde, 27 May 2015

Study Groups with Industry

• Atom Bank, Durham, UK
  • 116th European Study Group with Industry, Durham, 11-15 April 2016
  • Project: Optimizing the diffusion of innovations in saturated markets
• Teknova, Kristiansand, Norway
  • 107th European Study Group with Industry, Manchester, 23-27 March 2015
  • Project: Slag interface instability in metal refinement
• Thales Nederland, Huizen, The Netherlands
  • 84th European Study Group with Industry, Eindhoven, The Netherlands, 30 January-3 February 2012
  • Project: Optimization of the lifetime of sensor networks
• TAP Maintenance & Engineering, Lisbon, Portugal
  • 81st European Study Group with Industry, Lisbon, Portugal, 23-27 May 2011
  • Project: Scheduling aircraft component repair
• MARIN Maritime Research Institute Netherlands, Wageningen, The Netherlands
  • 79th European Study Group with Industry, Amsterdam, The Netherlands, 24-28 January 2011
  • Project: Manoeuvring behaviour of ships

Professional Affiliations

• Fellow of the Higher Education Academy
• Edinburgh Mathematical Society
• London Mathematical Society

Awards

• Shortlisted for a Heriot-Watt Oscar, for the Switched On Award, Heriot-Watt University (2019)
• Shortlisted for the 2013-14 Student Teaching Award for Innovative Teaching at the University of Glasgow (March 2014)
• Levermore Foundation Travel Award, Department of Mathematics, University of Maryland, USA (2006)
• SIAM Student Travel Award for the SIAM Conference on Analysis of Partial Differential Equations, Boston, USA (July 2006)
• Dissertation Fellowship, Department of Mathematics, University of Maryland, USA (spring semester 2006)
• Monroe Martin Prize for winning The Spotlight on Graduate Research Presentation Competition, Department of Mathematics, University of Maryland, USA (2005)
• Edward Collingwood Memorial Prize, Department of Mathematics, Durham University, UK (2002)
• Mathematical Sciences 4H Project Prize for the best final year project, Department of Mathematics, Durham University, UK (2002)