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#### The Canonical Model of a Singular Curve

(Springer, 2009-04)

We give re fined statements and modern proofs of Rosenlicht's re-
sults about the canonical model C′ of an arbitrary complete integral curve C.
Notably, we prove that C and C′ are birationally equivalent if and only if ...

#### The Development of Intersection Homology Theory

(American Society for Microbiology, 2008-06)

This historical introduction is in two parts. The first is reprinted with permission from "A century of mathematics in America, Part II," Hist. Math., 2, Amer. Math. Soc., 1989, pp.543-585. Virtually no change has been ...

#### A fundamental relation between phase and group velocity, and application to the failure of perfectly matched layers in backward-wave structures

(American Physical Society, 2009-06-11)

We demonstrate that the ratio of group to phase velocity has a simple relationship to the orientation of the electromagnetic field. In nondispersive materials, opposite group and phase velocity corresponds to fields that ...

#### Strictly small representations and a reduction theorem for the unitary dual

(American Mathematical Society, 2001)

To any irreducible unitary representation X of a real reductive Lie group we associate in a canonical way, a Levi subgroup Gsu and a representation of this subgroup. Assuming a conjecture of the authors on the
infinitesimal ...

#### Induced-charge electro-osmosis

(Cambridge University Press, 2004)

We describe the general phenomenon of â€˜induced-charge electro-osmosis’ (ICEO) –
the nonlinear electro-osmotic slip that occurs when an applied field acts on the ionic
charge it induces around a polarizable surface. ...