Juha Heinonen
Department of
Mathematics
University of Michigan
Ann Arbor, Michigan, 48109
Title: Professor
Office: Room 2834 East Hall.
Office Phone: (734) 936-2877
Research Area: Geometric Analysis
Curriculum Vitae
- Editorial
- Some Recent Papers
(Note: version here
may differ
from the final published version)
- Thirty-three yes or no questions
about mappings, measures, and metrics (with Stephen Semmes)
Conf. Geom. Dyn. 1 (1997), 1--12.
-
Quasiregular maps on Carnot groups
(with Ilkka Holopainen)
J. Geom. Anal.
7 (1997), 109--148.
-
Quasiregular maps $\bold S^3\to \bold S^3$ with wild branch sets (with Seppo
Rickman) Topology 37 (1998), 1--24.
-
Quasiconformal maps in metric spaces with controlled geometry
(with Pekka Koskela) Acta Math. 181 (1998), 1--61.
- A note on Lipschitz functions, upper gradients, and the Poincar\'e inequality (with Pekka Koskela) New Zealand J. Math.
28 (1999), 37--42.
- An
n-Dimensional Space That Admits a Poincaré Inequality But Has no Manifold Points
(with Bruce Hanson)
Proc.
Amer. Math. Soc.128 (2000), 3379--3390.
- BLD-mappings
in W2,2 are locally invertible (with Tero Kilpeläinen)
Math. Ann. 318 (2000), 391--396.
- Uniformizing
Gromov hyperbolic spaces (with Mario Bonk and Pekka Koskela),
270 Ast\'erisque, 2001.
- Quasiregular mappings and cohomology
(with Mario Bonk), Acta Math. 186 (2001), 219--238.
- Doubling conformal densities
(with
Mario Bonk and Steffen Rohde) J. reine angew.
Math. 541 (2001), 117--141.
-
A note on degree and dilatation (with
Seppo
Rickman) Papers
on Analysis: A volume dedicated to Olli Martio on the occasion of his 60th
birthday.
Report Univ. Jyv\"askyl\"a 83 (2001), 127--131.
- Sobolev classes of Banach
space-valued functions and quasiconformal mappings (with Pekka Koskela,
Nageswari Shanmugalingam, and
Jeremy Tyson)
Journal D'Analyse Mathematique 85 (2001), 87--139.
- Geometric branched covers between generalized manifolds
(with Seppo Rickman)
Duke Mathematical Journal 113 (2002), 465--529.
- On the locally branched Euclidean metric gauge
(with Dennis Sullivan)
Duke Mathematical Journal 114 (2002), 15--41.
- Quasiconformal mappings with Sobolev boundary values
(with Kari Astala and Mario Bonk)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vo. I
(2002), pp. 687--731.
- The branch set of a quasiregular mapping
Proceedings of the ICM Beijing, Higher Education Press, Beijing,
2002, 691--700.
- The quasiconformal Jacobian problem
(with Mario Bonk and Eero Saksman)
Contemporary Math. 355 (2004), 77--96.
-
Smooth quasiregular mappings with branching(with
Mario Bonk)
Publ. Math. Inst. Hautes \'Etudes Math. 100 (2004), 153--170.
-
Nonsmooth calculus Bulletin of the American Mathematical Society 44 (2007), 163--232.
-
Logarithmic potentials, quasiconformal flows, and Q-curvature
(with Mario Bonk and
Eero Saksman)
Duke Mathematical Journal (to appear)