# Stockholm Mathematics Centre Prizes for Excellent Doctoral Dissertation and Master Theses 2017/2018

## Excellent Master Theses

### Nils Gustafsson

*Box Polynomials of Lattice Simplices*

Nils Gustafsson's thesis is concerned with properties of polynomials associated with convex polytopes, in particular the so-called *h*^{*}and box polynomials. The study of such polynomials is a central topic in modern combinatorics. Gustafsson uses methods from combinatorics and topology to prove that the *h*^{*}-polynomials associated with a large class of polytopes have a certain desirable property, called unimodality. His result represents a substantial contribution to the subject and partially solves an established open problem. The thesis is well written and shows technical mastery and creativity.

### Mårten Wiman

*Improved inapproximability of Max-Cut through Min-Cut*

Mårten Wiman receives the prize for his impressive work on the Max-Cut approximation problem, which is among the most widely studied NP-hard problems. In his thesis Wiman improved the best known bound for the inapproximability factor for the Max-Cut problem. The ideas used by Wiman open possibilities for further improvement on the inapproximability result. Wiman’s outstanding master thesis shows a deep understanding and an exceptional maturity.

### Ingvar Ziemann

*Model Reduction of Semistable Infinite-Dimensional Control Systems*

In his thesis, Ziemann builds on recent advances in model reduction for finite-dimensional stable control systems to find extensions to the infinite-dimensional and semistable settings. In doing this, Ziemann demonstrates considerable originality and an impressive command of functional-analytic and control-theoretic concepts and methods. His thesis is very clearly written and illustrates the results obtained using well-chosen examples.

## Excellent Doctoral Theses

### Gleb Nenashev

*Around Power Ideals*

Gleb Nenashev has in his thesis demonstrated remarkable breadth and inventiveness and he combines tools from different areas of mathematics.

### Aron Wennman

*Random and optimal configurations in complex function theory*

Aron Wennman shows in his thesis a great depth within several different areas of analysis, in work of his own and in collaborations with other mathematicians.