Simon L. Rydin Myerson
Number Theory • Mathematics • University of Warwick
Office B2.19 • Zeeman Building • Coventry CV4 7AL • simon.rydin-myerson [at] warwick.ac.uk • he/him/his or they/them/theirs • Please call me Simon
I study the solutions to equations and inequalities in whole numbers. These are called Diophantine problems and they’re part of number theory. I use “analytic” arguments which are often fairly elementary, which makes it analytic number theory.
I’ve become interested in something which seems very different: nonlinear dispersive partial differential equations (nonlinear dispersive PDEs). This is a type of mathematical model which describes physical systems from ocean waves to fibre optic cables.
Publications
Systems of forms in many variables. (arXiv:1709.08917, improved version in preparation, see my HCM lectures for details, slides)
Additive problems with almost prime squares, with Blomer, V.; Grimmelt, L.; and Li, J. (arxiv:2111.01601, submitted)
The elliptic sieve and Brauer groups, with Bhakta, S.; Loughran, D.; and Nakahara, M. (arxiv:2109.03746, submitted, video version)
Bounds for spectral projectors on generic tori, with Germain, P., Math. Annalen (doi:10.1007/s00208-022-02547-w, 2022)
Bounds for spectral projectors on the Euclidean cylinder, with Germain, P., Comptes Rendus Math., 360:1257-1262 (doi:10.5802/crmath.378, 2022)
Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori, with Deng, Y.; Germain, P.; and Guth, L., Amer. J. Math., 144(3)701-745 (doi:10.1353/ajm.2022.0014, 2022, fulltext)
Bounds for spectral projectors on tori, with Germain, P., Forum Math. Sigma, 10:e24 (doi:10.1017/fms.2022.18, 2022)
Systems of cubic forms in many variables. J. Reine Agnew. Math. (Crelles Journal), 2019(757)309-328 (doi:10.1515/crelle-2017-0040, 2019)
Quadratic forms and systems of forms in many variables. Invent. math., 213:205-235 (doi:10.1007/s00222-018-0789-x, 2018)
Systems of many forms. DPhil thesis, University of Oxford (uuid:a9932e90-4784-466a-a694-d387c1228533, 2016)
Real and rational systems of forms. Oberwolfach Rep., 13(4)3013-3014 (doi:10.4171/OWR/2016/53, 2016, fulltext)
Research students
More about me
- CV: https://www.dropbox.com/s/0fbpufvc9mkew73/cv.pdf?raw=1
- Funding: https://warwick.ac.uk/research/supporting-talent/fellowships/sci-fellowships/ecr/simon-myerson
- Work: https://warwick.ac.uk/fac/sci/maths/people/staff/myerson
- Name: https://www.name-coach.com/simon-rydinmyerson
- arXiv: https://arxiv.org/a/myerson_s_1
- Publications: https://wrap.warwick.ac.uk/view/author_id/381400.html
- Phone: https://peoplesearch.warwick.ac.uk/profile/1972891
- ORCID: https://orcid.org/0000-0002-1486-6054