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Research Output

  • 18 Article
  • 3 Other chapter contribution
  • 1 Chapter
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2020

Poincaré-Lovelock metrics on conformally compact manifolds

Albin, P., Jun 24 2020, In : Advances in Mathematics. 367, 107108.

Research output: Contribution to journalArticle

2018

Analytic torsion and R-torsion of Witt representations on manifolds with cusps

Albin, P., Rochon, F. & Sher, D., Jul 1 2018, In : Duke Mathematical Journal. 167, 10, p. 1883-1950 68 p.

Research output: Contribution to journalArticle

Hodge theory on Cheeger spaces

Albin, P., Leichtnam, E., Mazzeo, R. & Piazza, P., Nov 1 2018, In : Journal fur die Reine und Angewandte Mathematik. 2018, 744, p. 29-102 74 p.

Research output: Contribution to journalArticle

2017

The Novikov conjecture on Cheeger spaces

Albin, P., Leichtnam, E., Mazzeo, R. & Piazza, P., 2017, In : Journal of Noncommutative Geometry. 11, 2, p. 451-506 56 p.

Research output: Contribution to journalArticle

2016

The index of dirac operators on incomplete edge spaces

Albin, P. & Gell-Redman, J., Sep 8 2016, In : Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 12, 089.

Research output: Contribution to journalArticle

2015

Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries

Albin, P., Aldana, C. L. & Rochon, F., 2015, In : Journal of Geometric Analysis. 25, 2, p. 1185-1210 26 p.

Research output: Contribution to journalArticle

Refined intersection homology on non-Witt spaces

Albin, P., Banagl, M., Leichtnam, E., Mazzeo, R. & Piazza, P., Mar 23 2015, In : Journal of Topology and Analysis. 7, 1, p. 105-133 29 p.

Research output: Contribution to journalArticle

2013

Inverse Boundary Problems for Systems in Two Dimensions

Albin, P., Guillarmou, C., Tzou, L. & Uhlmann, G., Sep 2013, In : Annales Henri Poincare. 14, 6, p. 1551-1571 21 p.

Research output: Contribution to journalArticle

Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces

Albin, P., Aldana, C. L. & Rochon, F., Apr 1 2013, In : Communications in Partial Differential Equations. 38, 4, p. 711-749 39 p.

Research output: Contribution to journalArticle

Some index formulae on the moduli space of stable parabolic vector bundles

Albin, P. & Rochon, F., Feb 1 2013, In : Journal of the Australian Mathematical Society. 94, 1, p. 1-37 37 p.

Research output: Contribution to journalArticle

2012

Construction of nonlinear quasimodes near elliptic periodic orbits

Albin, P., Christianson, H., Marzuola, J. L. & Thomann, L., Feb 15 2012, In : Physica D: Nonlinear Phenomena. 241, 4, p. 409-425 17 p.

Research output: Contribution to journalArticle

The signature package on Witt spaces

Albin, P., Leichtnam, É., Mazzeo, R. & Piazza, P., Mar 1 2012, In : Annales Scientifiques de l'Ecole Normale Superieure. 45, 2, p. 241-310 70 p.

Research output: Contribution to journalArticle

2009

A local families index formula for ∂-operators on punctured riemann surfaces

Albin, P. & Rochon, F., Jul 1 2009, In : Communications in Mathematical Physics. 289, 2, p. 483-527 45 p.

Research output: Contribution to journalArticle

Families index for manifolds with hyperbolic cusp singularities

Albin, P. & Rochon, F., Dec 1 2009, In : International Mathematics Research Notices. 2009, 4, p. 625-697 73 p.

Research output: Contribution to journalArticle

Fredholm realizations of elliptic symbols on manifolds with boundary

Albin, P. & Melrose, R., Feb 2009, In : Journal fur die Reine und Angewandte Mathematik. 627, p. 155-181 27 p.

Research output: Contribution to journalArticle

Relative Chern character, boundaries and index formulas

Albin, P. & Melrose, R., Sep 1 2009, In : Journal of Topology and Analysis. 1, 3, p. 207-250 44 p.

Research output: Contribution to journalArticle

Renormalizing curvature integrals on Poincaré-Einstein manifolds

Albin, P., May 1 2009, In : Advances in Mathematics. 221, 1, p. 140-169 30 p.

Research output: Contribution to journalArticle

2007

A renormalized index theorem for some complete asymptotically regular metrics: The Gauss-Bonnet theorem

Albin, P., Aug 1 2007, In : Advances in Mathematics. 213, 1, p. 1-52 52 p.

Research output: Contribution to journalArticle