Browsing Department of Mathematics by Title
Now showing items 120 of 25

The Canonical Model of a Singular Curve
(Springer, 200904)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 ... 
Data for "An optimal uncertainty principle in twelve dimensions via modular forms"
(20180924)This data set includes all the numerical data referred to in the paper "An optimal uncertainty principle in twelve dimensions via modular forms" by Cohn and Gonçalves (available on the arXiv with arXiv ID 1712.04438, at ... 
Data for "Dual linear programming bounds for sphere packing via modular forms"
(20210404)This data set contains numerical data for the paper "Dual linear programming bounds for sphere packing via modular forms" by Cohn and Triantafillou (available on the arXiv with arXiv ID 1909.04772, at the URL https://arX ... 
The Development of Intersection Homology Theory
(American Society for Microbiology, 200806)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.543585. Virtually no change has been ... 
Duality and Radon transform for symmetric spaces
(American Mathematical Society, 196307) 
A duality in integral geometry; some generalizations of the Radon transform
(American Mathematical Society, 1964) 
Enriques diagrams, arbitrarily near points, and Hilbert schemes
(European Mathematical Society, 201109)Given a smooth family F/Y of geometrically irreducible surfaces, we study sequences of arbitrarily near Tpoints of F/Y; they generalize the traditional sequences of infinitely near points of a single smooth surface. We ... 
A Fatou type theorem for harmonic functions on symmetric spaces
(American Mathematical Society, 1968) 
Functions on the model orbit in E8
(American Mathematical Society, 1988)We decompose the ring of regular functions on the unique coadjoint orbit for complex E8 of dimension 128, finding that every irreducible representation appears exactly once. This confirms a conjecture of McGovern. We also ... 
A fundamental relation between phase and group velocity, and application to the failure of perfectly matched layers in backwardwave structures
(American Physical Society, 20090611)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 ... 
Fundamental solutions of invariant differential operators on symmetric spaces
(American Mathematical Society, 1963) 
Inducedcharge electroosmosis
(Cambridge University Press, 2004)We describe the general phenomenon of â€˜inducedcharge electroosmosis’ (ICEO) – the nonlinear electroosmotic slip that occurs when an applied field acts on the ionic charge it induces around a polarizable surface. ... 
Invariant differential equations on homogeneous manifolds
(American Mathematical Society, 1977) 
Maslov theory and singularities
(20130207) 
Modular bootstrap data
(20200603)This data set includes the numerical data from the papers "Highdimensional sphere packing and the modular bootstrap" (by AfkhamiJeddi, Cohn, Hartman, de Laat, and Tajdini) and "Free partition functions and an averaged ... 
PaleyWiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups
(American Mathematical Society, 1973) 
The Picard Scheme
(201309)This article introduces, informally, the substance and the spirit of Grothendieck's theory of the Picard scheme, highlighting its elegant simplicity, natural generality, and ingenious originality against the larger ... 
Point configurations minimizing harmonic energy on spheres
(20210613)This data set contains updated numerical data for the paper "Experimental study of energyminimizing point configurations on spheres" (Experiment. Math. 18 (2009), no. 3, 257283). 
RadonFourier transforms on symmetric spaces and related group representations
(American Mathematical Society, 1965) 
Response to Steele Prize Award
(American Mathematical Society, 1988)