Recent papers
Stucture of the unitary valuation algebra, Journal of Differential
Geom. 72 (2006) , (arxiv
version)
Criticality for the Gehring link problem (joint with
J. Cantarella, R. Kusner,
J. Sullivan and N. Wrinkle) Geometry &
Topology 10 (2006) 2045-2015 (arxiv version)
Circles minimize most knot energies (joint with A. Abrams, J. Cantarella, M. Ghomi and R.
Howard) Topology
42 (2003), Pages 381-394 (arxiv version)
Convolution
of convex valuations (with A. Bernig) Geometriae Dedicata 123
(2006), 153—169
(arxiv version)
Theory of valuations on manifolds, III. Multiplicative structure in the general case (with S. Alesker). Trans. Amer. Math. Soc. 360 (2008),
1951--1981 (arxiv version)
Hermitian integral geometry (with A. Bernig) Ann. of Math. 173 (2011), 907--945 (arxiv version)
An
extension of Alexandrov's theorem on second
derivatives of convex functions. Adv. Math. 228
(2011), 2258-2267 (arxiv version)
Lecture notes
"The
two faces of Blaschkean integral geometry",
Les Diablerets, Switzerland, September 2008
Theory
and applications of the normal cycle, Rennes, France, September 2009
Alegbraic
integral geometry, Barcelona, September 2010
Results and
prospects in integral geometry, Frankfurt, September 2011
Unpublished papers