Chris Daw

+44 (0) 118 378 5352

Lecturer in Pure Mathematics
 Library Representative
 LMS Correspondent
 Pure Group Teaching Lead
Office
Room 106Building location
MathematicsAreas of interest
 Arithmetic geometry
 Number theory
 Model theory
 Ergodic theory
 Algebraic groups
 Unlikely intersections in Shimura varieties
Research centres and groups
Number TheoryResearch projects
My research focuses on certain mathematical objects known as Shimura varieties. Shimura varieties arise in many guises, but they may be most familiar as the parameter spaces of abelian varieties. Abelian varieties are central objects in number theory — the simplest abelian varieties, known as elliptic curves, are now at the heart of modern cryptography. For this reason, and others, questions regarding the geometry of Shimura varieties can inspire and illuminate many questions in number theory and beyond.
Background
2014  2016 Hodge Fellow, Institut des Hautes Etudes Scientifiques
2016  2017 EPSRC Postdoctoral Research Assistant, University of Oxford
2016  2017 Junior Research Fellow, Linacre College, Oxford
2017  2018 Academic Visitor, Mathematical Institute, University of Oxford
2018  2023 Visiting Research Fellow, Mathematical Institute, University of Oxford
Academic qualifications
MSci Mathematics, University College London (2010)
PhD Mathematics, University College London (2014)
Professional bodies/affiliations
Member, London Mathematical Society
Websites/blogs
Publications
 Daw, C. and Orr, M. (2021) Quantitative reduction theory and unlikely intersections. International Mathematics Research Notices ISSN: 10737928  doi: https://dx.doi.org/10.1093/imrn/rnab173
 Daw, C. , Gorodnik, A. , Ullmo, E. (2021) Convergence of measures on compactifications of locally symmetric spaces. Mathematische Zeitschrift , 297 (34). pp. 12931328. ISSN: 00255874  doi: https://dx.doi.org/10.1007/s0020902002558w
 Daw, C. and Orr, M. (2020) Unlikely intersections with ExCM curves in A2. Annali della Scuola Normale Superiore di Pisa ISSN: 20362145  doi: https://dx.doi.org/10.2422/20362145.202006_014
 Daw, C. , Javanpeykar, A. , Kühne, L. (2020) Effective estimates for the degrees of maximal special subvarieties. Selecta Mathematica , 26 ISSN: 14209020  doi: https://dx.doi.org/10.1007/s0002901905281
 Borovoi, M. , Daw, C. , Ren, J. (2018) Conjugation of semisimple subgroups over real number fields of bounded degree. Proceedings of the American Mathematical Society ISSN: 00029939  doi: https://dx.doi.org/10.1090/proc/14505
 Daw, C. and Ren, J. (2018) Applications of the hyperbolic AxSchanuel conjecture. Compositio Mathematica , 154 (9). pp. 18431888. ISSN: 15705846  doi: https://dx.doi.org/10.1112/S0010437X1800725X
 Daw, C. (2017) The ZilberPink conjecture for pure Shimura varieties via ominimality. OMinimality and its Applications to Number Theory and Analysis. Mathematisches Forschungsinstitut Oberwolfach pp. 14051407.  doi: https://dx.doi.org/10.4171/OWR/2017/22
 Daw, C. and Harris, A. (2017) Categoricity of modular and Shimura curves. Journal of the Institute of Mathematics of Jussieu ISSN: 14753030  doi: https://dx.doi.org/10.1017/S1474748015000365
 Daw, C. and Orr, M. (2016) Heights of prespecial points of Shimura varieties. Mathematische Annalen , 365 (34). pp. 13051357. ISSN: 00255831  doi: https://dx.doi.org/10.1007/s0020801513283
 Daw, C. (2016) Degrees of strongly special subvarieties and the Andréâ€“Oort conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal) , 2016 (721). pp. 81108. ISSN: 00754102  doi: https://dx.doi.org/10.1515/crelle20140062
 Daw, C. (2015) The AndreOort conjecture via ominimality. In: Jones, G. and Wilkie, A. , (eds.) OMinimality and Diophantine Geometry. London Mathematical Society Lecture Note Series Cambridge University Press (421). pp. 129158. ISBN: 9781316106839  doi: https://dx.doi.org/10.1017/CBO9781316106839.006
 Daw, C. (2012) A simplified proof of the AndreOort conjecture for products of modular curves. Archiv der Mathematik , 98 (5). pp. 433440. ISSN: 14208938  doi: https://dx.doi.org/10.1007/s0001301203724
 Daw, C. (2012) On torsion of class groups of CM tori. Mathematika , 58 (2). pp. 305318. ISSN: 20417942  doi: https://dx.doi.org/10.1112/S0025579312000022
 Daw, C. and Yafaev, A. (2011) An unconditional proof of the AndreOort conjecture for Hilbert modular surfaces. Manuscripta Mathematica , 135 (1). pp. 263271. ISSN: 00252611  doi: https://dx.doi.org/10.1007/s002290110445x