Polyakov formulas for conical singularities in two dimensions, with Julie Rowlett and Klaus Kirsten.

On Quasi-isospectral potentials, with Camilo Andres Perez Triana

Articles accepted for publication

None at the moment.

Published articles

A weights and compactness of conformal metrics under Ln/2 curvature bounds, with Gilles Carron and Samuel Tapie. Analysis & PDE. Vol 14, No. 7, 2021. DOI: 10.2140/apde.2021.14.2163. An older version is available at the Arxiv.

Maximal determinants of Schroedinger operators, with Jean-Baptiste Caillau and Pedro Freitas.
Journal de l’École polytechnique. Mathématiques. Tome 7 (2020), p. 803-829. It is open access!

A Polyakov formula for sectors, with Julie Rowlett.
The Journal of Geometric Analysis, Volume 28, Issue 2, pp 1773 – 1839, April 2018. It is Open Access!

Errata: A Correction: to A Polyakov Formula for Sectors

Compactness of relatively isospectral sets of surfaces via conformal surgeries, with Pierre Albin and Frédéric Rochon.
The Journal of Geometric Analysis, Volume 25, Issue 2, pp 1185-1210, April 2015.
DOI: 10.1007/s12220-013-9463-0. Available at
An older version is available at the Arxiv.

Ricci flow and the determinant of the Laplacian on non-compact surfaces, with Pierre Albin and Frédéric Rochon.
Communications in Partial Differential Equations, Volume 38, Issue 4, 2013.
DOI: 10.1080/03605302.2012.721853.
A version of it is available at the Arxiv.

Asymptotics of relative heat traces and determinants on open surfaces of finite area.
Annals of Global Analysis and Geometry: Volume 44, Issue 2 (2013), Page 169-216.
DOI: 10.1007/s10455-012-9362-9. Available at
This article expands the first part of my doctoral thesis. An older version is available at the Arxiv.

Determinants of Laplacians on non-compact surfaces.
Analysis, Geometry and Quantum Field Theory. (I am also editor of this volume)
Contemporary Mathematics, vol. 584, Amer. Math. Soc., Providence, RI, 2012, pp. 223-236.

Isoresonant conformal surfaces with cusps and boundedness of the relative determinant.
Communications in Analysis and Geometry, Volume 18, No 5, 2010.
This paper is about the second part of my doctoral thesis. An older version is available at the Arxiv.

Representation of a gauge group as motions of a Hilbert space.
Annales mathématiques Blaise Pascal, 11 no. 2 (2004), p. 131-153.
This is a survey article based on my Master thesis.

My thesis

Here is my doctoral thesis about inverse spectral theory and relative determinants of Laplacians on surfaces with cusps. January 2009.

Publications as an undergraduate

Cuantizacion de Fock de un sistema lineal. (Quantization of a Fock linear system). W. Cuervo, C. Aldana, J.M. Tejeiro, and S. Huerfano. Revista Colombiana De Fisica Vol. 33 Fasc. 2, p.107-111, 2001. (Journal of the Colombian Physics Society)

Introduccion a la nocion de haz. (An introduction to the notion of bundles). Revista Colombiana de astronomia, astrofisica, Cosmologia y Ciencias Afines (ISSN: 0123-6172), Vol. 2. No. 1. January-April 2000.