Department of Mathematics

Phone: +468162000
Fax: +4686126717
Address:
Roslagsvägen 101, Kräftriket, hus 5-6
106 91 Stockholm
Sweden


Department projects

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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
the number of zeros of solutions to Fuchsian differential equations
(with distinct real parts of all characteristic numbers at their
singularities) in simply-connected domains of the complex plane...


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.
They are of central importance in modern mathematics. Our goal is to
study embeddings of manifolds. For example, we consider embeddings of an
m-dimensional sphere in an n-dimensional space, for all po...


Spread of epidemics in structured and dynamic populations
01/01/2017 - 31/12/2020

The importance of understanding the spread of infectious diseases has
been highlighted during epidemics over recent decades, such as HIV, A
H1N1 influenza pandemic in 2009 and the recent Ebola outbreak.
Mathematical models are pivotal for gaining insight in the dynamics ...


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...


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Last updated on 2017-12-06 at 09:44