activity
20242026
collaborators

6 papers

math.AG2026

Eigenvector Varieties

Sandra Di Rocco, Bernd Sturmfels, Svala Sverrisdóttir +1

Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvec…

math.AC2026

Gram Matrices for Isotropic Vectors

Yassine El Maazouz, Bernd Sturmfels, Svala Sverrisdóttir

We investigate determinantal varieties for symmetric matrices that have zero blocks along the main diagonal. In theoretical physics, these arise as Gram matrices for kinematic vari…

physics.chem-ph2026

Algebraic Geometry for Spin-Adapted Coupled Cluster Theory

Fabian M. Faulstich, Svala Sverrisdóttir

We develop and numerically analyze an algebraic-geometric framework for spin-adapted coupled-cluster (CC) theory. Since the electronic Hamiltonian is SU(2)-invariant, physically re…

math.CO2026

Plane partitions and spin adapted quantum states

Abigail Price, Ada Stelzer, Svala Sverrisdóttir

We describe an explicit basis for the -invariant space of the exterior power via the combinatorics of plane partitions. In quant…

math.AG2025

Algebraic Varieties in Second Quantization

Svala Sverrisdóttir

We develop an algebraic geometric framework for Fock space coupled cluster theory in second quantization. In quantum chemistry, many-electron states are represented as elements of…

math.AG2024

Kinematic Varieties for Massless Particles

Smita Rajan, Svala Sverrisdóttir, Bernd Sturmfels

We study algebraic varieties that encode the kinematic data for massless particles in -dimensional spacetime subject to momentum conservation. Their coordinates are spinor b…