The Mathematical Science’s Department presents a public call in order to join together all students doing their PhD in Mathematical Engineering, students who will benefit from economic assistance for their studies. The selected students will develop the framework of research on:
Diffusion processes and simplification of information.
Evaluation percentages
- Average credits accumulated: 20 percent.
- Interview: 20 percent.
- Written text: 40 percent.
- Time availability: 20 percent
Call number 1
Evaluation criteria
- Average credits accumulated of 4.0 or greater.
- Personal interview with the primary professor of the project and/or co-researchers of the project. Particular attention will be paid to the familiarity that the applicants show with:
- Fundamental ideas of the Banach varieties.
- Differential equations in varieties.
- The use of a computer to probe topological and geometric conjectures (knowledge of programming in CAS like Maple or Mathematica).
- The authenticity of how the applicant feels toward these topics.
- Written text. The applicant should write an essay, of at least 10 pages, in which it clearly, concisely and in their own words, the revision of the following articles:
- Felix Otto (2004). "The geometry of dissipative evolution equations: porous medium equation".Communications in partial differential equations. Vol. 26 , Iss. 1-2,2001. http://dx.doi.org/10.1081/PDE-100002243.
- Loaiza G. and
Quiceno, H.R. (2013). "A qexponential statistical Banach manifold".Journal ofMathematical Analysis and Applications. 398, 446476.
- Time availability for the dedication of the project. It would be ideal that the applicant could dedicate 100% of their time to their studies.
Send prerequisites to:
Contact the director of the PhD program, Olga Lucía Quintero Montoya (
oquinte1@eafit.edu.co) or professor Carlos Gabriel Ignacio Loaiza (
gloaiza@eafit.edu.co).
Call number 2
Evaluation criteria
- Average credits accumulated of 4.0 or greater.
- Personal interview with the primary professor of the project and/or co-researchers of the project. Particular attention will be paid to the familiarity that the applicants show with:
- Fundamental ideas about differential topology and differential geometry.
- The use of a computer to probe topological and geometric conjectures (knowledge of programming in CAS like Maple or Mathematica).
- The authenticity of how the applicant feels toward these topics.
- Written text. The applicant should write an essay, of at least 10 pages, in which clearly, concisely and in their own words, gives a revision of the following articles:
- Riazuelo, A., Weeks, J., Uzan, J. P., Lehoucq, R., & Luminet, J. P. (2004). "Cosmic microwave background anisotropies in multiconnected flat spaces".Physical Review D, 69(10), 103518 (en este artículo se supone que el aspirante no debe considerar los aspectos cosmológicos del mismo).
- Weeks, J. (2006). "Exact polynomial eigenmodes for homogeneous spherical 3-manifolds". Classical and Quantum Gravity, 23(23), 6971.
- Time availability for the dedication of the project. It would be ideal that the applicant could dedicate 100% of their time to their studies.
Send prerequisites to:
Contact the director of the PhD program, Olga Lucía Quintero Montoya (
oquinte1@eafit.edu.co ) or professor Carlos Gabriel Ignacio Loaiza (
gloaiza@eafit.edu.co).