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Portrait photograph of Chris Daw

Dr Christopher Daw

Status
Visiting Professor, Research Fellow, Lecturer

Associate Professor at the University of Reading

Contact form
+44 1865 283879
Research groups
  • Number Theory

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Research interests

Arithmetic algebraic geometry

Unlikely intersections in Shimura varieties e.g. the Andre-Oort and Zilber-Pink conjectures

Related problems in number theory, model theory, and ergodic theory

Major / recent publications

Daw, C. and Orr, M. (2022), Zilber-Pink in a product of modular curves assuming multiplicative degeneration, preprint available at https://arxiv.org/abs/2208.06338

Daw, C. and Orr, M. (2022): Lattices with skew-Hermitian forms over division algebras and unlikely intersections, preprint available at https://arxiv.org/abs/2111.13056

Binyamini, G. and Daw, C. (2021): Effective computations for weakly optimal subvarieties, to appear in J. Eur. Math. Soc., preprint available at https://arxiv.org/abs/1902.10483

Daw, C. and Orr, M. (2021): Quantitative reduction theory and unlikely intersections, IMRN (open access), https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnab173/…

Daw, C, Gorodnik, A, and Ullmo, E (2021): The space of homogeneous probability measures on $\overline{\Gamma\backslash X}^S_{\rm max}$ is compact, with an appendix by Jialun Li, to appear in Math. Ann. (open access), preprint available at https://arxiv.org/abs/1910.04568

Daw, C and Orr, M (2020): Unlikely intersections with E x CM curves in $\mathcal{A}_2$, Annali della Scuola Normale di Pisa - Classe di Scienze 22 (4), 1705-1745, preprint available at https://arxiv.org/abs/1902.10483

Daw, C, Gorodnik, A, and Ullmo, E (2021): Convergence of measures on compactifications of locally symmetric spaces, Mathematische Zeitschrift volume 297, 1293-1328 (open access)

Daw, C, Javanpeykar, A, and Kühne, L (2020): Effective estimates for the degrees of maximal special subvarieties, Sel. Math. New Ser. 26, 2 (open access)

Borovoi, M, Daw, C and Ren, J (2020): Conjugation of semisimple subgroups over real number fields of bounded degree, Proc. Amer. Math. Soc. 149 (12), 4973–4984, preprint available at https://arxiv.org/abs/1802.05894

Daw, C and Ren, J (2018): Applications of the hyperbolic Ax-Schanuel conjecture, Compositio Mathematica 154 (9), 1843-1888, preprint available at https://arxiv.org/abs/1703.08967

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