(MSc(Canterbury), PhD (Edinburgh)
Senior Lecturer
Office: Science III, room 216
Te: +64 3 479 7781
Email tim.candy@otago.ac.nz
About
I am a senior lecturer in pure mathematics in the Department of Mathematics and Statistics at the University of Otago. I arrived in Otago in 2018, after having spent time as a postdoc at the University of Bielefeld, Johns Hopkins University, and Imperial College London.
For a list of my recent preprints, please see https://arxiv.org/a/candy_t_1.html
For further details on my research and teaching, please see my personal website https://sites.google.com/view/tcandy
Teaching responsibilities
My teaching responsibilities include:
- MATH 140 Fundamentals of Modern Mathematics 2
- MATH 201 Real Analysis
- MATH 4MI Meaaure and Integration
- MATH 4MF Mathematical Finance
Research Interests
My research lies in the general areas of partial differential equations and harmonic analysis. I am particularly interested in understanding the global dynamics of solutions to nonlinear dispersive partial differential equations (typically nonlinear models arising in mathematical physics such as the Dirac equation, Wave maps equations, and the Maxwell-Klein-Gordon equation among others). A key goal is to prove that for large times solutions to nonlinear problems can decouple into a linear or dispersive term, and terms exhibiting nonlinear effects such as focusing/blow-up or soliton like behaviour.
I am also interested in restriction estimates, and in particular, on bilinear and multilinear restriction estimates. These estimates are closely related to estimates for linear dispersive equations (known as Strichartz estimates), and are a key tool in the study of nonlinear dispersive equations.
Publications
Candy, T., Herr, S., & Nakanishi, K. (2021). Global wellposedness for the energy-critical Zakharov system below the ground state. Advances in Mathematics, 384, 107746. doi: 10.1016/j.aim.2021.107746
Candy, T. (2019, April). Dispersive PDE and the restriction problem. Mathematics Seminar Series, Department of Mathematics & Statistics, University of Otago, Dunedin, New Zealand. [Department Seminar].
Candy, T. (2019). Multi-scale bilinear restriction estimates for general phases. Mathematische Annalen, 375, 777-843. doi: 10.1007/s00208-019-01841-4
Candy, T., Kauffman, C., & Lindblad, H. (2019). Asymptotic behavior of the Maxwell–Klein–Gordon system. Communications in Mathematical Physics, 367, 683-716. doi: 10.1007/s00220-019-03285-y
Candy, T., & Herr, S. (2018). Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics, Sigma, 6, e9. doi: 10.1017/fms.2018.8
Candy, T., Herr, S., & Nakanishi, K. (2021). Global wellposedness for the energy-critical Zakharov system below the ground state. Advances in Mathematics, 384, 107746. doi: 10.1016/j.aim.2021.107746
Journal - Research Article
Candy, T. (2019). Multi-scale bilinear restriction estimates for general phases. Mathematische Annalen, 375, 777-843. doi: 10.1007/s00208-019-01841-4
Journal - Research Article
Candy, T., Kauffman, C., & Lindblad, H. (2019). Asymptotic behavior of the Maxwell–Klein–Gordon system. Communications in Mathematical Physics, 367, 683-716. doi: 10.1007/s00220-019-03285-y
Journal - Research Article
Candy, T., & Herr, S. (2018). Conditional large initial data scattering results for the Dirac-Klein-Gordon system. Forum of Mathematics, Sigma, 6, e9. doi: 10.1017/fms.2018.8
Journal - Research Article
Candy, T., & Herr, S. (2018). On the division problem for the wave map equation. Annals of PDE, 4, 17. doi: 10.1007/s40818-018-0054-z
Journal - Research Article
Candy, T., & Herr, S. (2018). On the Majorana condition for nonlinear Dirac systems. Annales de l'Institut Henri Poincaré C, 35(6), 1707-1717. doi: 10.1016/j.anihpc.2018.02.001
Journal - Research Article
Candy, T., & Herr, S. (2018). Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system. Analysis & PDE, 11(5), 1171-1240. doi: 10.2140/apde.2018.11.1171
Journal - Research Article
Candy, T., & Lindblad, H. (2018). Long range scattering for the cubic Dirac equation on ℝ1+1. Differential & Integral Equations, 31(7-8), 507-518.
Journal - Research Article
Bui, H.-Q., & Candy, T. (2017). A characterisation of the Besov-Lipschitz and Triebel-Lizorkin spaces using Poisson like kernels. Contemporary Mathematics, 693, 109-141. doi: 10.1090/conm/693/13935
Journal - Research Article
Bournaveas, N., & Candy, T. (2016). Global well-posedness for the massless cubic Dirac equation. International Mathematics Research Notices, 2016(22), 6735-6828.
Journal - Research Article
Bournaveas, N., Candy, T., & Machihara, S. (2014). A note on the Chern-Simons-Dirac equations in the Coulomb gauge. Discrete & Continuous Dynamical Systems: Series A, 34(7), 2693-2701. doi: 10.3934/dcds.2014.34.2693
Journal - Research Article
Candy, T. (2013). Bilinear estimates and applications to global well-posedness for the Dirac-Klein-Gordon equation on ℝ1+1. Journal of Hyperbolic Differential Equations, 10(1), 1-35. doi: 10.1142/S021989161350001X
Journal - Research Article
Bournaveas, N., & Candy, T. (2012). Local well-posedness for the space-time Monopole equation in Lorenz gauge. Nonlinear Differential Equations & Applications of NoDEA, 19(1), 67-78. doi: 10.1007/s00030-011-0118-1
Journal - Research Article
Bournaveas, N., Candy, T., & Machihara, S. (2012). Local and global well posedness for the Chern-Simons-Dirac system in one dimension. Differential & Integral Equations, 25(7-8), 699-718.
Journal - Research Article
Candy, T. (2011). Global existence for an L2 critical nonlinear Dirac equation in one dimension. Advances in Differential Equations, 16(7-8), 643-666.
Journal - Research Article
Candy, T. (2019, April). Dispersive PDE and the restriction problem. Mathematics Seminar Series, Department of Mathematics & Statistics, University of Otago, Dunedin, New Zealand. [Department Seminar].
Other Research Output
