People

Dr Jesus Martinez-Garcia

Lecturer
Department of Mathematical Sciences
Dr Jesus Martinez-Garcia
  • Email

  • Telephone

    +44 (0) 1206 873620

  • Location

    2.410, Colchester Campus

  • Academic support hours

    Open door policy (subject to review when the term starts)

Profile

Biography

I am a Lecturer at the Department of Mathematical Sciences of the University of Essex. 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 Kähler metrics (including Kähler-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. *) Construction and characterisation of manifolds with special holonomy.

Qualifications

  • PhD Mathematics University of Edinburgh, (2013)

  • MASt Mathematics University of Cambridge, (2009)

  • BEng Computer Engineering Universidad Autonoma de Madrid, (2008)

  • BA Mathematics Universidad Autonoma de Madrid, (2008)

Appointments

University of Essex

  • Lecturer, Mathematical Sciences, University of Essex (1/8/2019 - present)

Other academic

  • Research Associate, Mathematical Sciences, University of Bath (15/6/2017 - 31/7/2019)

  • Postdoc, Max Planck Institute for Mathematics Bonn (24/7/2016 - 30/6/2017)

  • J.J. Sylvester Assistant Professor (postdoctoral position), Johns Hopkins University (1/7/2013 - 30/6/2016)

  • Adjunct professor, Korea University (23/6/2015 - 10/8/2015)

Research and professional activities

Research interests

Algebraic Geometry

Key words: Moduli Spaces
Open to supervise

Teaching and supervision

Current teaching responsibilities

  • Numerical Methods and Computation (MA182)

  • Mathematics Careers and Employability (MA199)

  • Group Theory (MA301)

Publications

Journal articles (7)

Cheltsov, I. and Martinez-Garcia, J., Stable polarized del Pezzo surfaces. International Mathematics Research Notices

Gallardo, P. and Martinez-Garcia, J., (2019). Moduli of cubic surfaces and their anticanonical divisors. Revista Matemática Complutense. 32 (3), 853-873

Cheltsov, I. and Martinez-Garcia, J., (2019). Unstable polarized del Pezzo surfaces. Transactions of the American Mathematical Society. 372 (2019), 7255-7296

Gallardo, P., Martinez-Garcia, J. and Zhang, Z., (2018). Compactifications of the moduli space of plane quartics and two lines. European Journal of Mathematics. 4 (3), 1000-1034

Gallardo, P. and Martinez-Garcia, J., (2018). Variations of geometric invariant quotients for pairs, a computational approach. Proceedings of the American Mathematical Society. 146 (6), 2395-2408

Cheltsov, I. and Martinez-Garcia, J., (2016). Dynamic Alpha-invariants of Del Pezzo Surfaces. International Mathematics Research Notices. 2016 (10), 2994-3028

Martinez-Garcia, J., (2014). Log canonical thresholds of del Pezzo surfaces in characteristic p. Manuscripta Mathematica. 145 (1-2), 89-110

Thesis dissertation (1)

Martinez-Garcia, J., (2013). Dynamic alpha-invariants of del Pezzo surfaces with boundary

Other (2)

Martinez-Garcia, J., Constant scalar curvature Kahler metrics on rational surfaces

Gallardo, P., Martinez-Garcia, J. and Spotti, C., Applications of the moduli continuity method to log K-stable pairs

Grants and funding

2019

Support of collaborative research with Dr Patricio Gallardo at The University of Essex, Colchester.

London Mathematical Society

Algebraic Groups and Geometric Invariant Theory Day (Day1)

London Mathematical Society

Contact

jesus.martinez-garcia@essex.ac.uk
+44 (0) 1206 873620

Location:

2.410, Colchester Campus

Academic support hours:

Open door policy (subject to review when the term starts)