Research Output per year

## Personal profile

### Research interests

My field of expertise is combinatorial optimization. In the recent years I am in particular interested in the use of semidefinite programming to design efficient approximations for hard combinatorial problems (graph coloring, max-cut, etc.) and, more generally, for polynomial optimization problems, where objective and constraints are polynomial functions and algorithms can be developed using algebraic techniques.

For further information, please refer to my webpage at CWI

### Career

1985 to 1986: Guest researcher at New York University

1986 to 1988: Research engineer at CNET (Centre National d'Etudes des Telecommunications, Paris, France)

1988 to 1997: Researcher at CNRS (Paris, France), with affiliation with Universite Paris Dauphine between 1988-1992 and at Ecole Normale Superieure between 1992-1997

August 1990 to February 1992: Research fellow of the Von Humboldt Foundation at the Institute of Discrete Mathematics and Operations Research in Bonn, Germany

From 1997: Researcher at Centrum Wiskunde & Informatica (CWI), Amsterdam

From 2005: Leader of the research group Algorithms, Combinatorics and Optimization at CWI

From September 2009: Part-time full professor at the Department of Econometrics and Operations Research, Tilburg School of Economics and Management

### Current courses

Click here for my courses.

### External positions

(Centrum Wiskunde & Informatica (CWI))

1 Sep 1997 → …### Keywords

- Operations Research
- Optimisation
- Combinatorics
- Mathematics

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## Research Output 1986 2019

## A survey of semidefinite programming approaches to the generalized problem of moments and their error analysis

de Klerk, E. & Laurent, M., 2019, (Accepted/In press)*World Women in Mathematics 2018.*Rio de Janeiro: Springer, (Association for Women in Mathematics Series ; vol. 20).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

## Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization

Gribling, S., de Laat, D. & Laurent, M., Jul 2018, In : Mathematical Programming . 170, 1, p. 5-42Research output: Contribution to journal › Article › Scientific › peer-review

## Comparison of Lasserre's measure-based bounds for polynomial optimization to bounds obtained by simulated annealing

de Klerk, E. & Laurent, M., Nov 2018, In : Mathematics of Operations Research. 43, 4, p. 1317-1325Research output: Contribution to journal › Article › Scientific › peer-review

## Worst-case examples for Lasserre's measure-based hierarchy for polynomial optimization on the hypercube

de Klerk, E. & Laurent, M., 2018, (Accepted/In press) In : Mathematics of Operations Research.Research output: Contribution to journal › Article › Scientific › peer-review

## A Lex-BFS-based recognition algorithm for Robinsonian matrices

Laurent, M. & Seminaroti, M., May 2017, In : Discrete Applied Mathematics. 222, p. 151-165Research output: Contribution to journal › Article › Scientific › peer-review