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.

I am currently leading **a TCC module** on the geometry of numbers.

For Warwick students these are the 4th year projects/Master's projects I can offer; I also offer URSS projects along similar lines.

Some slides about the circle method for forms in rather few variables, in the style of Tran and Wang.

Systems of forms in many variables. (arXiv:1709.08917, improved version in preparation, see my HCM lectures for details, slides)

A two dimensional version of the delta symbol method, with Li, J.; and Vishe, P. (in preparation, slides)

A question about points on an elliptic curve with prime denominator. (arXiv:2307.09406, 2023, edited version of an open question to the problem session of JA2023, communicated there by Michel Waldschmidt)

Additive problems with almost prime squares, with Blomer, V.; Grimmelt, L.; and Li, J., Geom. Funct. Anal. (doi:10.1007/s00039-023-00635-w, 2023, slides)

The elliptic sieve and Brauer groups, with Bhakta, S.; Loughran, D.; and Nakahara, M., Proc. London Math. Soc., 126:1884-1922 (doi:10.1112/plms.12520, 2023, video version, slides)

Bounds for spectral projectors on generic tori, with Germain, P., Math. Annalen (doi:10.1007/s00208-022-02547-w, 2022, slides)

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)

**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