Dr Jesus Martinez-Garcia
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Email
jesus.martinez-garcia@essex.ac.uk -
Location
STEM 5.9, Colchester Campus
Profile
Biography
I am a Senior Lecturer at the Department of Mathematical Sciences of the 黑料网. Previously I held postdoctoral positions at the University of Bath, the Max Planck Institute for Mathematics in Bonn (Germany), and the Johns Hopkins University (USA). You can find more details below, or at my website (linked at the bottom). My research is on algebraic and complex geometry, with focus on birational geometry of varieties of Fano type, moduli spaces and computational algebraic geometry. More specifically, I work on problems in the following areas: *) Existence of constant scalar curvature K盲hler metrics (including K盲hler-Einstein metrics) and its relation to K-stability. *) Classification of varieties of Fano type. *) Compactification of moduli spaces and geometric invariant theory. *) Computational algebraic geometry.
Qualifications
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PhD Mathematics University of Edinburgh, (2013)
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MASt Mathematics University of Cambridge, (2009)
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MEng Computer Engineering Universidad Autonoma de Madrid, (2008)
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MSci Mathematics Universidad Autonoma de Madrid, (2008)
Appointments
黑料网
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Lecturer, Mathematical Sciences, 黑料网 (1/8/2019 - present)
Other academic
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Research Associate, Mathematical Sciences, University of Bath (15/6/2017 - 31/7/2019)
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Postdoc, Max Planck Institute for Mathematics Bonn (24/7/2016 - 30/6/2017)
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J.J. Sylvester Assistant Professor (postdoctoral position), Johns Hopkins University (1/7/2013 - 30/6/2016)
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Adjunct professor, Korea University (23/6/2015 - 10/8/2015)
Research and professional activities
Research interests
Algebraic Geometry
Birational geometry and Fano varieties
Moduli spaces and geometric invariant theory
K-stability and canonical metrics
Teaching and supervision
Previous supervision
Degree subject: Mathematics
Degree type: Doctor of Philosophy
Awarded date: 14/4/2023
Publications
Publications (5)
Martinez-Garcia, J., (2024). Two remarks on asymptotically log Fano pairs
Martinez-Garcia, J., Papazachariou, TS. and Zhao, J., (2024). K-moduli of log del Pezzo pairs and variations of GIT
Cheltsov, I., Krylov, I., Martinez-Garcia, J. and Shinder, E., (2023). On maximally non-factorial nodal Fano threefolds
Abban, H., Cheltsov, I., Denisova, E., Etxabarri-Alberdi, E., Kaloghiros, A-S., Jiao, D., Martinez-Garcia, J. and Papazachariou, T., (2023). One-dimensional components in the K-moduli of smooth Fano 3-folds
Cheltsov, I., Guerreiro, TD., Fujita, K., Krylov, I. and Martinez-Garcia, J., (2023). K-stability of Casagrande-Druel varieties
Journal articles (15)
Gallardo, P., Martinez-Garcia, J. and Spotti, C., . Journal of the London Mathematical Society. 0
Gallardo, P., Martinez-Garcia, J., Moon, H-B. and Swinarski, D., . Mathematics of Computation
Cheltsov, I., Krylov, I., Martinez-Garcia, J. and Shinder, E., (2024). . Revista Matematica Iberoamericana. 40 (5), 1781-1798
Abban, H., Cheltsov, I., Denisova, E., Etxabarri-Alberdi, E., Kaloghiros, A-S., Jiao, D., Martinez-Garcia, J. and Papazachariou, T., (2024). . Journal of Algebraic Geometry. 34 (3), 489-534
Ivan, C., Tiago, DG., Kento, F., Igor, K. and Martinez-Garcia, J., (2024). . Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 2025 (818), 53-113
Cascini, P., Martinez-Garcia, J. and Rubinstein, YA., (2023). . Rendiconti del Circolo Matematico di Palermo Series 2. 72 (2), 773-790
Martinez-Garcia, J., (2021). . Mathematische Nachrichten. 294 (8), 1547-1558
Gallardo, P., Martinez鈥怗arcia, J. and Spotti, C., (2021). Applications of the moduli continuity method to log K鈥恠table pairs. Journal of the London Mathematical Society. 103 (2), 729-759
Cheltsov, I. and Martinez-Garcia, J., (2020). . International Mathematics Research Notices. 2020 (18), 5477-5505
Gallardo, P. and Martinez-Garcia, J., (2019). . Revista Matem谩tica Complutense. 32 (3), 853-873
Cheltsov, I. and Martinez-Garcia, J., (2019). . Transactions of the American Mathematical Society. 372 (2019), 7255-7296
Gallardo, P., Martinez-Garcia, J. and Zhang, Z., (2018). . European Journal of Mathematics. 4 (3), 1000-1034
Gallardo, P. and Martinez-Garcia, J., (2018). . Proceedings of the American Mathematical Society. 146 (6), 2395-2408
Cheltsov, I. and Martinez-Garcia, J., (2016). . International Mathematics Research Notices. 2016 (10), 2994-3028
Martinez-Garcia, J., (2014). . Manuscripta Mathematica. 145 (1-2), 89-110
Books (2)
Cheltsov, I. and Martinez-Garcia, J., (2025). ZAG Handbook of Algebraic Geometry. CRC Press. 1040378927. 9781040378922
Araujo, C., Castravet, A-M., Cheltsov, I., Fujita, K., Kaloghiros, A-S., Martinez-Garcia, J., Shramov, C., S眉ss, H. and Viswanathan, N., (2023). . Cambridge University Press. 9781009193399
Book chapters (3)
Martinez-Garcia, J. and Cheltsov, I., Interview with David Mumford. In: ZAG Handbook of Algebraic Geometry
Martinez-Garcia, J., Two Remarks on Asymptotically Log Fano Pairs. In: ZAG Handbook of Algebraic Geometry
Martinez-Garcia, J. and Cheltsov, I., (2025). Algebraic Geometry in the Times of Covid. In: ZAG Handbook of Algebraic Geometry. CRC Press. 1040378927. 9781040378922
Conferences (1)
Martinez-Garcia, J. and Spotti, C., (2023).
Thesis dissertation (1)
Martinez-Garcia, J., (2013).
Grants and funding
2024
AGGITatE: A conference on Groups, Representations and Cohomology
The Heilbronn Institute for Mathematical Research (University of Bristol)
INI@Essex 锟� Algebras, Groups, Geometry, Invariants and Related Topics
The Isaac Newton Institute for Mathematical Sciences (INI)
2023
AGGITATE 2023: A Workshop on Algebraic Groups and Cremona Transformations
Foundation Compositio Mathematica
2022
AGGITATE 2023: A WORKSHOP ON ALGEBRAIC GROUPS AND CREMONA TRANSFORMATIONS
London Mathematical Society
2021
The Calabi problem for smooth Fano threefolds
Engineering and Physical Sciences Research Council
2019
Support of collaborative research with Dr Patricio Gallardo at The 黑料网, Colchester.
London Mathematical Society
Algebraic Groups and Geometric Invariant Theory Day (Day1)
London Mathematical Society
Contact
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