Contact Information
237A Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Biography
I am an associate professor and Helen Corley Petit Scholar at the University of Illinois at Urbana-Champaign.
Research Description
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
External Links
Recent Publications
Albin, P. (2020). Poincaré-Lovelock metrics on conformally compact manifolds. Advances in Mathematics, 367, [107108]. https://doi.org/10.1016/j.aim.2020.107108
Albin, P., Rochon, F., & Sher, D. (2018). Analytic torsion and R-torsion of Witt representations on manifolds with cusps. Duke Mathematical Journal, 167(10), 1883-1950. https://doi.org/10.1215/00127094-2018-0009
Albin, P., Leichtnam, E., Mazzeo, R., & Piazza, P. (2018). Hodge theory on Cheeger spaces. Journal fur die Reine und Angewandte Mathematik, 2018(744), 29-102. https://doi.org/10.1515/crelle-2015-0095
Albin, P. (2017). On the Hodge theory of stratified spaces. In Hodge theory and L2-analysis (Vol. 39, pp. 1-78). (Adv. Lect. Math. (ALM)). Int. Press, Somerville, MA.
Albin, P., Leichtnam, E., Mazzeo, R., & Piazza, P. (2017). The Novikov conjecture on Cheeger spaces. Journal of Noncommutative Geometry, 11(2), 451-506. https://doi.org/10.4171/JNCG/11-2-2