Publications (24)
Equivariant Grothendieck-Riemann-Roch and localization in operational K-theory
Dave Anderson, Richard Gonzales, Sam Payne
We produce a Grothendieck transformation from bivariant operational -theory to Chow, with a Riemann-Roch formula that generalizes classical Grothendieck-Verdier-Riemann-Roch. We…
Introduction to Equivariant Cohomology in Algebraic Geometry (IMPANGA 2010)
Dave Anderson
These are lecture notes from the IMPANGA 2010 Summer School. The lectures survey some of the main features of equivariant cohomology at an introductory level. The first part is an…
Toric arc schemes and -enumeration of lattice points
Dave Anderson, Aniket Shah
We introduce a natural weighted enumeration of lattice points in a polytope, and give a Brion-type formula for the corresponding generating function. The weighting has combinatoria…
Schubert varieties are log Fano over the integers
Dave Anderson, Alan Stapledon
Given a Schubert variety X_w, we exhibit a divisor Î, defined over the integers, such that the pair (X_w,Î) is log Fano in all characteristics.
Arc spaces and equivariant cohomology
Dave Anderson, Alan Stapledon
We present a new geometric interpretation of equivariant cohomology in which one replaces a smooth, complex -variety by its associated arc space , with its ind…
Measuring and Eliminating Refusals in Military Large Language Models
Jack FitzGerald, Dylan Bates, Aristotelis Lazaridis +17
Military Large Language Models (LLMs) must provide accurate information to the warfighter in time-critical and dangerous situations. However, today's LLMs are imbued with safety be…