Lecturer
School of Mathematics and Statistics
University of Melbourne, VIC 3010, Australia
Peter Hall Building, Office 202
Contact
email: jgell `at' unimelb.edu.au phone: +61383443641
Info
Papers
 The index formula for families of Diractype operators on pseudomanifolds. With Pierre Albin.
On arxiv.
 Spectral and Hodge theory of `Witt' incomplete cusp edge spaces. With Jan Swoboda.
On arxiv. Submitted.
 Equidistribution of phase shifts in obstacle scattering. With Maxime Ingremeau.
On arxiv. To appear in Comm. Partial Differential Equations.
 The distribution of phase shifts for semiclassical potentials with polynomial decay. With Andrew Hassell.
IMRN.
 The index of Dirac operators on incomplete edge spaces. With
Pierre Albin.
SIGMA 12 (2016), 089, 45 pages
 The Feynman propagator on perturbations of Minkowski space. With Nick Haber, and
Andras Vasy.
Communications in Mathematical Physics, Volume 342, Issue 1, 2016, Pages 333–384.
 Harmonic maps into conic surfaces with cone angles less than 2π.
Communications in Analysis and Geometry, Volume 23, Issue 4, 2015, Pages 717–796
 Equidistribution of phase shifts in semiclassical potential scattering. With
Andrew Hassell, and Steve Zelditch.
Journal of the London Mathematical Society, Volumn 91, Issue 1, 2015, 159–179.
 Approximation
and equidistribution of phase shifts: spherical symmetry. With
Kiril Datchev, Andrew Hassell, and Peter Humphries.
Communications in Mathematical Physics, Volume 326, Issue 3, 2014, Pages 209–236
 Potential
scattering and the continuity of phase shifts. With Andrew Hassell.
Mathematical Research Letters, Volume 19, Issue 3, 2012, Pages 719–729.
 Hodge cohomology
of some fibred boundary and fibred cusp metrics. With Frederic Rochon.
Mathematische Nachrichten, Volumn 288, Issue 23, 2015, 206–223
 Shrinking the period lengths of continued fractions while still capturing convergents. With Edward B. Burger, Ross Kravitz, Daniel Walton, and Nicholas Yates.
Journal of Number Theory, Volume 128, Issue 1, 2008, Pages 144–153.
