(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 ℝ^{1+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 ℝ^{1+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 *L*^{2} 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