Welcome to my website. I am finishing my first year as a math graduate student at Caltech. In the past few years I've been at the University of Bristol and Part III of the Mathematical Tripos at the University Cambridge.
My primary interest is in combinatorics, with connections to analysis and number theory. At Bristol I worked for Dr. David Ellis and here at Caltech I'm working for David Conlon.
If you would like more details than this website offers, here is a copy of my CV. You are also welcome to contact me at dking@caltech.edu.
Here are some articles, for some sense of what I like to work on.
Publications:
Fish, S., King, D., & Miller, S. J. (2020). Extensions of Autocorrelation Inequalities with Applications to Additive Combinatorics. Bulletin of the Australian Mathematical Society, 102(3), 451–461. arXiv:https://arxiv.org/abs/2001.02326.
Fang, S., King, D., Lee, E. B., & Strichartz, R. (2019). Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket. Journal of Fractal Geometry, 7(1), 1–62. arXiv:https://arxiv.org/abs/1709.02031.
Fish, S., King, D.A, Miller, S.J., & Wahlenmayer, C.G. (2019). Crescent Configurations in Normed Spaces. Integers, 20, A96. arXiv:https://arxiv.org/abs/1909.08769.
Coen, F., Gillman, N., Keleti, T., King, D.A, & Zhu, J. (2019). Large Sets with Small Injective Projections. arXiv:https://arxiv.org/abs/1906.06288. (forthcoming in Annales Academiæ Scientiarum Fennicæ)
King, D.A, Martinez, T., Miller, S.J., & Sun, C., (2019). Generalizing the Distribution of Missing Sums in Sumsets. arXiv:https://arxiv.org/abs/2005.07981. (submitted for publication)