Browsing Department of Mathematics by Title
Now showing items 120 of 35

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 ... 
Computerassisted proof of kernel inequalities
(20220316)This data set provides a computerassisted proof for the kernel inequalities needed to prove universal optimality in the paper "Universal optimality of the E_8 and Leech lattices and interpolation formulas" (by Cohn, Kumar, ... 
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 ... 
Data for "Optimality of spherical codes via exact semidefinite programming bounds"
(20240325)This data set includes all the code and data from the paper "Optimality of spherical codes via exact semidefinite programming bounds" by Cohn, de Laat, and Leijenhorst. 
Data for "Threepoint bounds for sphere packing"
(20220629)This data set includes all the numerical data from the paper "Threepoint bounds for sphere packing" by Cohn, de Laat, and Salmon. 
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) 
Grassmannian packings
(20230108)This table of Grassmannian packings was created by N. J. A. Sloane based on joint work with R. H. Hardin and J. H. Conway in "Packing lines, planes, etc.: packings in Grassmannian spaces" (Experiment. Math. 5 (1996), ... 
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)