Pure and Applied Mathematics Quarterly

Spin Cobordism Categories in Low Dimensions

Spectral Multiplicity and Odd K-theory

Hyperbolic Geometric Flow (I): Short-time Existence and Nonlinear Stability

The Spectral Density Function of a Toric Variety

Homology of Equivariant Vector Fields

The Floer Homotopy Type of the Cotangent Bundle

Spectral Theory of Complete Riemannian Manifolds

Schwarzschild Spacetime without Coordinates

A Compactly Supported Formula for Equivariant Localization and Simplicial Complexes of Bialynicki-Birula Decompositions

Whitehead’s Integral Formula, Isolated Critical Points, and the Enhancement of the Milnor Number

K-Homology, Assembly and Rigidity Theorems for Relative Eta Invariants

Approaches to Generalize Contact Structures

Measures on Banach Manifolds, Random Surfaces, and Nonperturbative String Field Theory with Cut-offs

The Atiyah Singer Index Theorem and Chern Weil Forms