# Department of Mathematics

Roslagsvägen 101, Kräftriket, hus 5-6

106 91 Stockholm

Sweden |

Department projects

1 of 5 |

Computing with Infinite Data 01/04/2017 - 31/03/2021 The joint research in this programme will study important aspects—both theoretical as well as applied—of computing with infinite objects. A central aim is laying the grounds for the generation of efficient and verified software in engineering applications. A prime examp... |

Zeros of Fuchsian differential equations and infinitesimal Hilbert 16th problem 01/01/2017 - 31/12/2020 The main goal of this proposal is to find new effective upper bounds for |

Calculus of functors, moduli spaces of graphs, and spaces of embeddings 01/01/2017 - 31/12/2020 Manifolds are high-dimensional generalizations of curves and surfaces. |

Spread of epidemics in structured and dynamic populations 01/01/2017 - 31/12/2020 The importance of understanding the spread of infectious diseases has |

Constructive and category-theoretic foundations of mathematics 01/01/2016 - 31/12/2019 The research programme has as a long term goal to develop constructive systems and methods of logic, especiallly in model theory and category theory, for the use in metamathematics, and as foundational systems for mathematics. The present part of the project concentrates on tw... |

Mathematical and statistical modelling of infectious diseases and their prevention 01/01/2016 - 31/12/2019 The current project involves stochastic modelling and analysis of epidemic outbreaks, as well as development of statistical methodology for these situations. More specifically, the first sub-project aims at improving current state of the art statistical methods for analysing n... |

Statistical Modelling, Monitoring and Predictive Analytics against Infectious Disease Outbreaks 01/01/2016 - 31/12/2019 Statistical modeling has become a key component for understanding the transmission of infectious diseases and for evaluating the impact of control measures. As public health institutions collect more and more data, the need for adequate data analysis beyond pure descriptions i... |

Cohomology of automorphisms of manifolds and free groups 01/01/2016 - 31/12/2019 The goal of the project is to break new ground in the study of the cohomology of automorphisms of high dimensional manifolds and free groups, by exploiting a new surprising connection between the two fields. Roughly 10 years ago, Madsen and Weiss solved the Mumford conjecture,... |

Combining outbreak and genetic data for improved inference of the HIV epidemic 01/01/2014 - 31/12/2018 Detta projekt syftar till att öka kunskaperna om hur en smittsam sjukdom sprids i en befolkning genom att t ex besvara följande frågor: finns oupptäckta smittbärare, vilka smittovägar är vanligast och vilka är de största riskgrupperna... |

Modern statistics at its full potential: Bridging the gap between ecological complexity and model simplicity. Abstract 01/01/2014 - 31/12/2018 Varför varierar storleken hos djurpopulationer? I den rådande klimatdebatten talas det ofta om djurarter som hotas av den globala uppvärmningen, men vet vi egentligen hur klimatvariationer påverkar djurpopulationers tillväxt och eventuella utdöd? E... |