 IDEALS Home
 →
 College of Liberal Arts and Sciences
 →
 Dept. of Mathematics
 →
 Dissertations and Theses  Mathematics
 →
 Browse Dissertations and Theses  Mathematics by Contributor
Browse Dissertations and Theses  Mathematics by Contributor "Rezk, Charles"
Now showing items 115 of 15

(20160621)We give an explicit construction of extended topological field theories over a manifold taking values in the deloopings of U(1) from the data of differential forms on the manifold. More specifically, for a manifold M, using ...
application/pdf
PDF (787kB) 
(20160713)Let E denote a Morava Etheory at a prime p and height h. We characterize the power operations on π0 of a K(h)local E∞Ealgebra in terms of a small amount of algebraic data. This involves only the Ecohomology of two ...
application/pdf
PDF (398kB) 
(20180629)The end goal of this work is to define and study an elementary higher topos. We will achieve this by going through several steps. First we review complete Segal spaces. Then we study various fibrations of complete Segal ...
application/pdf
PDF (2MB) 
(20100820)In this thesis, we explore a chainlevel construction in smooth Deligne cohomology that produces data for extended topological field theories. For closed oriented manifolds $\Sigma$, this construction takes the form of a ...
application/pdf
PDF (378kB) 
(20170711)A functor from finite sets to chain complexes is called atomic if it is completely determined by its value on a particular set. We present a new resolution for these atomic functors, which allows us to easily compute their ...
application/pdf
PDF (441kB) 
(20130203)Let $P_m$ and $D_m$ be the $m^{th}$ level and layer of the GoodwillieTaylor tower for discrete modules. In \cite{intermont_johnson_mccarthy08} the rank filtration of $D_1F$ is described and the associated spectral sequence ...
application/pdf
PDF (741kB) 
(20120206)The origin of these investigations was the successful attempt by myself and coauthors to generalize rational equivalences of two constructions which suggest possible definitions of deRham cohomology of “brave new” rings, ...
application/pdf
PDF (598kB) 
(20171128)The equivariant 𝔼∞G operad has the property that 𝔼∞G(n) is the total space for the Gequivariant universal principal Σn bundle. There is a forgetful functor from 𝔼∞Galgebras to 𝔼∞algebras, where 𝔼∞ is the classic ...
application/pdf
PDF (263kB) 
(20100820)Voevodsky showed that there is a motivic spectrum representing algebraic Ktheory. We describe an equivalent spectrum that is also a symmetric ring spectrum. A coherence problem occurs when one veriﬁes the symmetry. It is ...
application/pdf
PDF (543kB) 
(2008)Recent work of Ando, Blumberg, Gepner, Hopkins and Rezk characterize Einfinity orientations of KTheory. Their description involves producing measures on the padic units with certain moments. In his thesis, Ando produced ...
application/pdf
PDF (2MB) 
(20170421)We introduce and study quasielliptic cohomology, a theory related to Tate Ktheory but built over the ring $\mathbb{Z}[q^{\pm}]$. In Chapter 2 we build an orbifold version of the theory, inspired by Devoto's equivariant ...
application/pdf
PDF (2MB) 
(20170713)We define and study the $K$theory of exact categories with coefficients in endofunctors of spectra in analogy with Mitchell's homology of categories. Generalizing computations of McCarthy, we determine, for a discrete ...
application/pdf
PDF (751kB) 
(20100820)Let $ \mathcal{C} \colon= \mathds{C}/ \Lambda$ be a complex elliptic curve. In this paper, we give a detailed construction of torus equivariant elliptic cohomology, which is a sheaf of $ \mathcal{ O}_{\mathcal{C}^n}$algebras ...
application/pdf
PDF (833kB) 
(20110825)In "Generalized Group Characters and Complex Oriented Cohomology Theories", Hopkins, Kuhn, and Ravenel discovered a generalized character theory that proved useful in studying cohomology rings of the form E^*(BG). In this ...
application/pdf
PDF (270kB) 
(2008)We then define the units of equivariant spectra in terms of equivariant Gammaspaces. Thus showing that units of equivariant spectra are equivariant spectra.
application/pdf
PDF (2MB)
Now showing items 115 of 15