Preprints

The variation of Barnes and Bessel zeta functions
with Julie Rowlett and Klaus Kirsten.

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

On Quasi-Isospectral Potentials
In collaboration with Camilo Andres Perez. Arxiv:2202.06110.

Publications in Journals

A∞ weights and compactness of conformal metrics under curvature bounds
Clara L. Aldana, Gilles Carron and Samuel Tapie.
Analysis & PDE. Vol 14, No. 7, 2021.
DOI: 10.2140/apde.2021.14.2163.
An older version is available in the arxiv at https://arxiv.org/abs/1810.05387

Maximal determinants of Schrödinger operators on bounded intervals
Clara L. Aldana, Jean-Baptiste Caillau and Pedro Freitas.
Journal de l’École polytechnique. Mathématiques. Tome 7 (2020), p. 803-829.
DOI: 10.5802/jep.128. It is open access! (arXiv:1909.05786. HAL hal-01406270v1).

A Polyakov formula for Sectors
C.L. Aldana, and Julie Rowlett.
The Journal of Geometric Analysis. April 2018, Volume 28, Issue 2, pp 1773–1839.
First online 05 July 2017. DOI https://doi.org/10.1007/s12220-017-9888-y
An earlier version was posted in ArXiv under the name Polyakov formula for Surfaces with conical
singularities.
Correction to: A Polyakov formula for Sectors
C.L. Aldana, and J. Rowlett.
The Journal of Geometric Analysis. Volume 30, pp 3371–3372 (2020)

Compactness of relatively isospectral sets of surfaces via conformal surgeries
with Pierre Albin and Frédéric Rochon.
The Journal of Geometric Analysis. April 2018, Volume 28, Issue 2, pp 1773–1839.
First online 05 July 2017. DOI https://doi.org/10.1007/s12220-017-9888-

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 www.springerlink.com.
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.