Yuan
Zhou
Assistant Professor
University of Kentucky
Department of Mathematics
E-mail: yuan.zhou@uky.edu
Office: 953 Patterson Office Tower
Phone: (859)-218-5508
Here is my CV.
Research
My research interests include integer programming (cut-generating functions, in particular the Gomory-Johnson infinite group problem).
- Equivariant perturbation in Gomory and Johnson's infinite group problem. VII. Inverse semigroup theory, closures, decomposition of perturbations (with Robert Hildebrand and Matthias Köppe, 2018).
- All cyclic group facets inject (with Matthias Köppe, 2018).
- Equivariant perturbation in Gomory and Johnson's infinite group problem. VI. The curious case of two-sided discontinuous functions (with Matthias Köppe, 2018).
- Equivariant perturbation in Gomory and Johnson's infinite group problem. V. Software for the continuous and discontinuous 1-row case (with Chun Yu Hong, Matthias Köppe, 2018).
- On the notions of facets, weak facets, and extreme functions of the Gomory-Johnson infinite group problem (with Matthias Köppe, 2017).
- New
computer-based search strategies for extreme functions of the
Gomory-Johnson infinite group problem (with Matthias Köppe, 2016).
- Software for cut-generating functions in the Gomory--Johnson model and beyond (with Chun Yu Hong, Matthias Köppe, 2016).
- Toward computer-assisted discovery and automated proofs of cutting plane theorems (with Matthias Köppe, 2016).
- An electronic compendium of extreme functions for the Gomory-Johnson infinite group problem (with Matthias Köppe, 2015).
- Sage
program for computation and experimentation with the
1-row Gomory-Johnson infinite group problem (with Chun Yu Hong, Matthias Köppe, 2014-).
See the public SageMathCloud worksheet for a demonstration.