• 4 WEST 5.05

Accepting PhD Students

20142019
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Personal profile

Research interests

Algebraic Geometry, Complex Geometry, Birational Geometry, Differential Geometry, K-stability, Moduli problems, Special Holonomy, alpha-invariants, Minimal Model Program.

Education/Academic qualification

Mathematics, Doctor of Philosophy, University of Edinburgh

1 Sep 200931 Jul 2013

Mathematics, Master of Mathematics, University of Cambridge

1 Sep 200830 Jun 2009

External positions

Postdoctoral fellow, Max Planck Institute for Mathematics in the Sciences

21 Jul 201630 Jun 2017

J.J. Sylvester Assistant Professor, John Hopkins University

1 Jul 201330 Jun 2016

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

  • 2 Similar Profiles
Del Pezzo Surfaces Mathematics
Log Canonical Threshold Mathematics
Compactification Mathematics
Geometric Invariant Theory Mathematics
Constant Scalar Curvature Mathematics
Geometric Invariants Mathematics
Metric Mathematics
Invariant Mathematics

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Research Output 2014 2019

Moduli of cubic surfaces and their anticanonical divisors

Gallardo, P. & Martinez-Garcia, J., 25 Feb 2019, In : Revista Matemática Complutense.

Research output: Contribution to journalArticle

Open Access

Unstable polarized del Pezzo surfaces

Martinez-Garcia, J. & Cheltsov, I., 20 May 2019, (Accepted/In press) In : Transactions of the American Mathematical Society.

Research output: Contribution to journalArticle

Compactifications of the moduli space of plane quartics and two lines

Martinez-Garcia, J., Gallardo, P. & Zhang, Z., 1 Sep 2018, In : European Journal of Mathematics. 4, 3, p. 1000-1034

Research output: Contribution to journalArticle

Open Access
Geometric Invariant Theory
Quartic
Compactification
Moduli Space
K3 Surfaces

Stable polarized del Pezzo surfaces

Martinez-Garcia, J. & Cheltsov, I., 26 Jul 2018, In : International Mathematics Research Notices. 39 p., rny182.

Research output: Contribution to journalArticle

File
Del Pezzo Surfaces
Constant Scalar Curvature
Polarization
Metric
Sufficient Conditions
3 Citations (Scopus)

Variations of geometric invariant quotients for pairs, a computational approach

Gallardo, P. & Martinez-Garcia, J., 2018, In : Proceedings of the American Mathematical Society. 146, 6, p. 2395-2408

Research output: Contribution to journalArticle

Open Access
File
Geometric Invariants
Quotient
Orbits
Compactification
Hypersurface

Datasets

Variations of GIT quotients package v0.6.13

Martinez Garcia, J. (Creator), Gallardo, P. (Creator), University of Bath, 12 Dec 2017

Dataset