4 papers
Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties
Viktoriia Borovik, Hannah Friedman, Serkan HoÅten +1
We study energy minimization problems in quantum chemistry through the lens of computational algebraic geometry. We focus on minimizing the Rayleigh quotient of a Hamiltonian over…
The Euler Stratification for
Serkan HoÅten, Vadym Kurylenko, Elke Neuhaus +1
We study the Euler characteristic of a hypersurface in defined by a polynomial whose monomial support corresponds to lattice points in $Î…
An Early History of Toric Ideals
Serkan HoÅten
Toric ideals are everywhere. They have been in the commutative algebra lexicon since about 1990 when Bernd Sturmfels used the term. The early days of toric ideals and their Gröbne…
Uniqueness of size-2 positive semidefinite matrix factorizations
Kristen Dawson, Serkan HoÅten, Kaie Kubjas +1
We characterize when a size-2 positive semidefinite (psd) factorization of a positive matrix of rank 3 and psd rank 2 is unique. The characterization is obtained using tools from r…