Research output per year
Research output per year
Personal profile
Personal profile
I am an associate professor and Helen Corley Petit Scholar at the University of Illinois at Urbana-Champaign.
Professional Information
My research is in geometric analysis. I am particularly interested in analytic representations of topological invariants, analysis on non-compact or singular spaces, spectral geometry, heat kernels, and Dirac operators.
Education
PhD Mathematics, Stanford, 2005
Office Address
Department of Mathematics
237A Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Office Phone
Fingerprint
Fingerprint is based on mining the text of the expert's scholarly documents to create an index of weighted terms, which defines the key subjects of each individual researcher.
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Collaborations and top research areas from the last five years
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THE INDEX FORMULA FOR FAMILIES OF DIRAC TYPE OPERATORS ON PSEUDOMANIFOLDS
Albin, P. & Gell-Redman, J., Oct 2023, In: Journal of Differential Geometry. 125, 2, p. 207-343 137 p.Research output: Contribution to journal › Article › peer-review
Open Access -
A CHEEGER–MÜLLER THEOREM FOR MANIFOLDS WITH WEDGE SINGULARITIES
Albin, P., Rochon, F. & Sher, D., 2022, In: Analysis and PDE. 15, 3, p. 567-642 76 p.Research output: Contribution to journal › Article › peer-review
Open Access -
STRATIFIED SURGERY AND K-THEORY INVARIANTS OF THE SIGNATURE OPERATOR
Albin, P. & Piazza, P., 2022, In: Bulletin de la Societe Mathematique de France. 55, p. 43-108 66 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Sub-Riemannian Limit of the Differential Form Heat Kernels of Contact Manifolds
Albin, P. & Quan, H., Apr 1 2022, In: International Mathematics Research Notices. 2022, 8, p. 5818-5881 64 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Resolvent, heat kernel, and torsion under degeneration to fibered cusps
Albin, P., Rochon, F. & Sher, D., Jan 2021, In: Memoirs of the American Mathematical Society. 269, 1314, p. 1-138 138 p.Research output: Contribution to journal › Article › peer-review
Open Access