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We discuss topics related to lattice points in rational polyhedra, including efficient enumeration of lattice points, “short” generating functions for lattice points in rational polyhedra, relations… (More)

- TORIC VARIETY, James Pommersheim
- 2004

where [V (σ)] is the class in the Chow group of X corresponding to the orbit closure V (σ). Note that the above formula is to hold simultaneously for all fans in N . (The much weaker statement that… (More)

We prove that every embedding of K10 in R3 contains a non-split link of three components. We also exhibit an embedding of K9 with no such link of three components.

- David A. Meyer, James Pommersheim
- Chicago J. Theor. Comput. Sci.
- 2010

We study the problem of identifying an n-bit string using a single quantum query to an oracle that computes the Hamming distance between the query and hidden strings. The standard action of the… (More)

- David A. Meyer, James Pommersheim
- Theor. Comput. Sci.
- 2011

Given a prior probability distribution over a set of possible oracle functions, we define a number of queries to be useless for determining some property of the function if the probability that the… (More)

- David A. Meyer, James Pommersheim
- TQC
- 2011

PARITY is the problem of determining the parity of a string f of n bits given access to an oracle that responds to a query x ∈ {0, 1, . . . , n − 1} with the x bit of the string, f(x). Classically, n… (More)

- Aaron Abrams, James Pommersheim
- Discrete & Computational Geometry
- 2014

Given a combinatorial triangulation of an n-gon, we study (a) the space of all possible drawings in the plane such the edges are straight line segments and the boundary has a fixed shape, and (b) the… (More)

- Markus Hunziker, David A. Meyer, Jihun Park, James Pommersheim, Mitch Rothstein
- Quantum Information Processing
- 2010

Concept learning provides a natural framework in which to place the problems solved by the quantum algorithms of Bernstein-Vazirani and Grover. By combining the tools used in these algorithms—quantum… (More)

The topological symmetry group of a graph embedded in the 3-sphere is the group consisting of those automorphisms of the graph which are induced by some homeomorphism of the ambient space. We prove… (More)

The purpose of this paper is to show that the Todd class of a simplicial toric variety has a canonical expression in terms of products of torus-invariant divisors. The coefficients in this… (More)