I am a Senior Lecturer in Pure Mathematics at the School of Mathematics, Statistics and Actuarial Science of the University of Essex. My research is on algebraic and complex geometry, with focus on birational geometry of varieties of Fano type, moduli spaces and computational algebraic geometry.
My research is currently supported by EPSRC grant EP/V055399/1.
My team consists of Senior Research Officer (AKA postdoc) Tiago Duarte-Guerreiro and PhD students Lufeng Li and Charlotte Satchwell. My former PhD student Theo Papazachariou is currently a Simons Fellow at the Isaac Newton Institute in Cambridge. I anticipate to have a number of PhD students joining me in October 2023. I am always interested in hearing from potential PhD students and postdocs, so feel free to contact me directly if you want to work in my group. In particular, I anticipate to be advertising a 4-6 months long postdoc to start in December 2023. If you think you may be interested, drop me a line.
- 25/09/23: Two new preprints on the Arxiv. Together with I. Cheltsov, my postdoc T. Duarte Guerreiro, K. Fujita and I. Krylov, we have completed K-stability of Casagrande-Druel varieties.
Together with H. Abban, I. Cheltsov, E. Denisova, E. Etxabarri-Alberdi, A.-S. Kaloghiros, D. Jiao, and T. Papazachariou we have completed One-dimensional components in the K-moduli of smooth Fano 3-folds. Comments are welcome.
- 01/08/23: Together with P. Gallardo, H.-B. Moon and D. Swinarski, I have completed a new preprint on automatic computation of GIT quotients. It is currently on (semifinal) draft version and it has an attached website, from which you can download it together with some code in Sage and lots of descriptions of GIT quotients obtained computationally. Comments are welcome.
The picture on the side was taken by Sanja Marjanovic.
|jesus (at) jesusmartinezgarcia (dot) net
|Dr Jesus Martinez Garcia
Dept of Mathematical Sciences
University of Essex
Colchester Campus, Wivenhoe Park,
Colchester, Essex, CO4 3SQ
|+44 (0) 1206 873620