82 citations · 120 across the 6 of their papers we have counts for
6 papers
Performing integration-by-parts reductions using NeatIBP 1.1 + Kira
Zihao Wu, Janko Böhm, Rourou Ma +3
We introduce a new version v1.1 of NeatIBP. In this new version, a Kira interface is included. It allows the user to reduce the integration-by-parts (IBP) identity systems generate…
Geometric Algebra and Algebraic Geometry of Loop and Potts Models
Janko Böhm, Jesper Lykke Jacobsen, Yunfeng Jiang +1
We uncover a connection between two seemingly separate subjects in integrable models: the representation theory of the affine Temperley-Lieb algebra, and the algebraic structure of…
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…