This is the second part of a series of papers called" HAG", devoted to developing the
foundations of homotopical algebraic geometry. The authors start by defining and studying …

Derived algebraic geometry Page 1 EMS Surv. Math. Sci. 1 (2014), 153–240 DOI 10.4171/EMSS/4
EMS Surveys in Mathematical Sciences c European Mathematical Society Derived algebraic …

This memoir is a refinement of the author's PhD thesis—written at Cornell University (2006).
It is primarily a desription of new research but we have also included a substantial amount of …

Let G be a finite group and let F be a family of subgroups of G. We introduce a class of G-
equivariant spectra that we call F-nilpotent. This definition fits into the general theory of …

Page 1 |MEMOIRS of the American Mathematical Society Number 915 Degree Theory for
Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints Sergiu …

Several types of differential equations, such as delay differential equations, age-structure
models in population dynamics, evolution equations with boundary conditions, can be …

We study the étale sheafification of algebraic K-theory, called étale K-theory. Our main
results show that étale K-theory is very close to a noncommutative invariant called Selmer K …

To a “stable homotopy theory”(a presentable, symmetric monoidal stable∞-category), we
naturally associate a category of finite étale algebra objects and, using Grothendieck's …

Page 1 MEMOIRS Of the American Mathematical Society Number 9, 17 The Stable Manifold
Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential …

The connective topological modular forms spectrum, $ tmf $, is in a sense initial among
elliptic spectra, and as such is an important link between the homotopy groups of spheres …