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MeAbout

I am a postdoctoral fellow at the University of Bristol. My research is in Algebraic Geometry and I am primarily interested in the explicit birational geometry of 3-folds.

Previously, I was a JSPS postdoctoral fellow at RIMS, Kyoto University between Nov 2015 and Jul 2017. I obtained my PhD in 2015 at the University of Warwick under the supervision of Miles Reid. I did my undergraduate degree and Part III at the University of Cambridge. 

My CV is available here.

Research

Constructing Fano 3-folds from cluster varieties of rank 2
Auxillary tables of codimension 4 Fanos and codimension 5 Fanos in cluster format

The decomposition groups of plane conics and plane rational cubics
To appear in Math. Res. Lett.
(Preprint version: arXiv:1706.02533)

Constructing Q-Fano 3-folds à la Prokhorov & Reid
Bull. London Math. Soc. (2018)
https://doi.org/10.1112/blms.12150
(Preprint version: arXiv:1610.01773)

Divisorial extractions from singular curves in a smooth 3-fold, II: low codimension
Submitted. Preprint, arxiv:1609.02303

Mori extractions from singular curves in a smooth 3-fold
PhD thesis, available here

Divisorial extractions from singular curves in smooth 3-folds
Int. J Math., 27, Issue 01 (2016) [23 pages]
http://dx.doi.org/10.1142/S0129167X16500051
(Preprint version: arXiv:1403.7614)

Contact

Email: tom [dot] ducat [at] bristol [dot] ac [dot] uk