Accepted for Publication
Polyakov formulas for conical singularities in two dimensions
Clara L. Aldana, Klaus Kirsten, and Julie Rowlett
Accepted for publication in Annales mathematiques du Quebec, 24 Feb 2025
Publications in Journals
The variation of Barnes and Bessel zeta functions
Clara L. Aldana, Klaus Kirsten, and Julie Rowlett
Complex Variables and Elliptic Equations, 1–36. Published online on 13 Apr 2025.
https://doi.org/10.1080/17476933.2025.2480793
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
Pierre Albin, Clara L. Aldana, 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
Pierre Albin, Clara L. Aldana, 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
Clara L. Aldana
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
Clara L. Aldana
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
Clara L. Aldana
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
Clara Lucia Aldana Dominguez
Annales mathématiques Blaise Pascal, 11 no. 2 (2004), p. 131-153.
This is a survey article based on my Master thesis
Submitted Preprints
On Quasi-Isospectral Potentials
In collaboration with Camilo Andres Perez. Arxiv:2202.06110
My doctoral thesis
My doctoral thesis, Inverse spectral theory and relative determinants of elliptic operators on surfaces with cusps, is published online at the Universitaets-und Landesbibliothek (ULB) of Bonn