Article

Aslanyan, V. and Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2024) A note on unlikely intersections in Shimura varieties. Journal of Number Theory. ISSN 1096-1658 doi: https://doi.org/10.1016/j.jnt.2024.02.015

Binyamini, G. and Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2024) Effective computations for weakly optimal subvarieties. Journal of the European Mathematical Society. ISSN 1435-9863 doi: https://doi.org/10.4171/JEMS/1408

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729, Gorodnik, A., Ullmo, E. and Li, J. (2023) The space of homogeneous probability measures on $\overline{\Gamma\backslash X}^S_{\rm max}$ is compact. Mathematische Annalen, 386. pp. 987-1016. ISSN 0025-5831 doi: https://doi.org/10.1007/s00208-022-02412-w

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729, Gorodnik, A. and Ullmo, E. (2023) The space of homogeneous probability measures on Γ∖X¯¯¯¯¯¯¯¯¯¯S max is compact. Mathematische Annalen, 386. pp. 987-1016. ISSN 0025-5831 doi: https://doi.org/10.1007/s00208-022-02412-w

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Orr, M. (2023) Lattices with skew-Hermitian forms over division algebras and unlikely intersections. Journal de l'École polytechnique — Mathématiques, 10. pp. 1097-1156. ISSN 2270-518X doi: https://doi.org/10.5802/jep.240

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Orr, M. (2022) Quantitative reduction theory and unlikely intersections. International Mathematics Research Notices, 2022 (20). pp. 16138-16195. ISSN 1073-7928 doi: https://doi.org/10.1093/imrn/rnab173

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Orr, M. (2021) Unlikely intersections with ExCM curves in A2. Annali della Scuola Normale Superiore di Pisa, 22 (4). ISSN 2036-2145 doi: https://doi.org/10.2422/2036-2145.202006_014

Borovoi, M., Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Ren, J. (2021) Conjugation of semisimple subgroups over real number fields of bounded degree. Proceedings of the American Mathematical Society, 149. pp. 4973-4984. ISSN 0002-9939 doi: https://doi.org/10.1090/proc/14505

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729, Gorodnik, A. and Ullmo, E. (2021) Convergence of measures on compactifications of locally symmetric spaces. Mathematische Zeitschrift, 297 (3-4). pp. 1293-1328. ISSN 0025-5874 doi: https://doi.org/10.1007/s00209-020-02558-w

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729, Javanpeykar, A. and Kühne, L. (2020) Effective estimates for the degrees of maximal special subvarieties. Selecta Mathematica, 26. 2. ISSN 1420-9020 doi: https://doi.org/10.1007/s00029-019-0528-1

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Ren, J. (2018) Applications of the hyperbolic Ax-Schanuel conjecture. Compositio Mathematica, 154 (9). pp. 1843-1888. ISSN 1570-5846 doi: https://doi.org/10.1112/S0010437X1800725X

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Harris, A. (2017) Categoricity of modular and Shimura curves. Journal of the Institute of Mathematics of Jussieu. ISSN 1475-3030 doi: https://doi.org/10.1017/S1474748015000365

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2016) Degrees of strongly special subvarieties and the André–Oort conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal), 2016 (721). pp. 81-108. ISSN 0075-4102 doi: https://doi.org/10.1515/crelle-2014-0062

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Orr, M. (2016) Heights of pre-special points of Shimura varieties. Mathematische Annalen, 365 (3-4). pp. 1305-1357. ISSN 0025-5831 doi: https://doi.org/10.1007/s00208-015-1328-3

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2012) On torsion of class groups of CM tori. Mathematika, 58 (2). pp. 305-318. ISSN 2041-7942 doi: https://doi.org/10.1112/S0025579312000022

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2012) A simplified proof of the Andre-Oort conjecture for products of modular curves. Archiv der Mathematik, 98 (5). pp. 433-440. ISSN 1420-8938 doi: https://doi.org/10.1007/s00013-012-0372-4

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Yafaev, A. (2011) An unconditional proof of the Andre-Oort conjecture for Hilbert modular surfaces. Manuscripta Mathematica, 135 (1). pp. 263-271. ISSN 0025-2611 doi: https://doi.org/10.1007/s00229-011-0445-x

Book or Report Section

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2017) The Zilber-Pink conjecture for pure Shimura varieties via o-minimality. In: O-Minimality and its Applications to Number Theory and Analysis. Mathematisches Forschungsinstitut Oberwolfach, pp. 1405-1407. doi: https://doi.org/10.4171/OWR/2017/22

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2015) The Andre-Oort conjecture via o-minimality. In: Jones, G. O. and Wilkie, A. J. (eds.) O-Minimality and Diophantine Geometry. London Mathematical Society Lecture Note Series (421). Cambridge University Press, pp. 129-158. ISBN 9781316106839 doi: https://doi.org/10.1017/CBO9781316106839.006

Conference or Workshop Item

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2022) Zilber–Pink in Y(1)n. In: MFO workshop Diophantische Approximation, 17-23 APR 2022.