# 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.