
Dr Christopher Daw
Associate Professor at the University of Reading
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
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
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