School of Mathematical Sciences

Diego Carranza Ortiz

Diego

Postgraduate Research Student

Email: d.a.carranzaortiz@qmul.ac.uk
Room Number: Mathematical Sciences Building, Room: MB-402

Profile

Diego is a 4th year PhD student under the supervision of Dr. Juan A. Valiente Kroon and part of the Geometry and Analysis group at Queen Mary University of London. Previously, he completed his undergraduate studies in Physics at UNAM (Mexico) and obtained a masters degree in Astrophysics at the same university where he studied some cosmological models under an extended theory of gravity.

His current research focuses on the mathematical aspects of the General Theory of Relativity using conformal methods. Currently, he is carrying out investigations about the construction of anti-de Sitter-like spacetimes with a tracefree matter component. In this context, the allowed type of boundary data on the conformal boundary represent an interesting problem. He also has analysed the so-called Conformal Einstein Field Equations and their properties. Previously, he studied problems related to the existence of continuous symmetries on the aforementioned spacetimes.

Teaching

QMUL Undergraduate Mathematics Course

  • Sem 2, 2018-2019: Vectors and Matrices (TA)
  • Sem 1, 2018-2019: Partial Differential Equations (Demonstrator)
  • Sem 1, 2018-2019: Differential Equations (Demonstrator)
  • Sem 2, 2017-2018: Calculus II (TA)
  • Sem 1, 2017-2018: Calculus I (TA)  
  • Sem 2, 2016-2017: Discrete Mathematics (Demonstrator) 
  • Sem 1, 2016-2017: Calculus I (TA)
  • Sem 2, 2015-2016: Essential Mathematical Skills (Demonstrator)

QMUL Science and Engineering Foundation programme

  • Sem 1, 2017-2018: Mathematics I (TA)
  • Sem 2, 2016-2017: Mathematics II (TA)
  • Sem 1, 2016-2017: Mathematics I (TA)

Research

Research Interests:

Mathematical Relativity, conformal methods, adS-like spacetimes, global properties and symmetries of spacetimes, cosmology

Publications

1. D. A. Carranza & J. A. Valiente Kroon. Construction of anti-de Sitter–like spacetimes using the metric conformal Einstein field equations: the vacuum case. Class. Quantum Grav. 35, 245006 (2018).

2. D. A. Carranza & J. A. Valiente Kroon. Killing boundary data for anti-de Sitter-like spacetimes. Class. Quantum Grav. 35, 155011 (2018).

3. D. A. Carranza, S. Mendoza & L. A. Torres. A cosmological dust model with extended f(χ) gravity. Eur. Phys. J. C 73, 2282 (2013).

Public Engagement

Co-organiser of the QMUL “Planet Earth” session for the Pint of Science festival, to take place  from the 20th to the 22nd of May, 2019.

Co-organiser of the QMUL “Atoms to Galaxies” session for the Pint of Science festival, cellebrated from the 15th to the 17th of May, 2017.

Volunteer tutor for Action Tutoring supporting Year 11 Maths GCSE students at Elizabeth Anderson School, London, Feb - May 2018.

Article The Buckingham Π Theorem and the atomic bomb, published in the popular Mathematics magazine Chalkdust, Issue 4, 2017.