4 papers
Parallel Computation of tropical varieties, their positive part, and tropical Grassmannians
Dominik Bendle, Janko Boehm, Yue Ren +1
In this article, we present a massively parallel framework for computing tropicalizations of algebraic varieties which can make use of finite symmetries. We compute the tropical Gr…
Random growth on a Ramanujan graph
Janko Boehm, Michael Joswig, Lars Kastner +1
The behavior of a certain random growth process is analyzed on arbitrary regular and non-regular graphs. Our argument is based on the Expander Mixing Lemma, which entails that the…
Towards Massively Parallel Computations in Algebraic Geometry
Janko Boehm, Wolfram Decker, Anne Frühbis-Krüger +3
Introducing parallelism and exploring its use is still a fundamental challenge for the computer algebra community. In high performance numerical simulation, on the other hand, tran…
Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
Janko Boehm, Alessandro Georgoudis, Kasper J. Larsen +2
We present the powerful module-intersection integration-by-parts (IBP) method, suitable for multi-loop and multi-scale Feynman integral reduction. Utilizing modern computational al…