1. FACULTY OF MATHEMATICS AND GEOINFORMATION Dean: D. Dorninger TWO DEPARTMENTS MATHEMATICS SURVEYING AND GEOINFORMATION

2. FACULTY OF MATHEMATICS AND GEOINFORMATION DEPARTMENT OF MATHEMATICS Institute of Analysis and Scientific Computing Institute of Discrete Mathematics and Geometry Institute of Mathematical Methods in Economy Institute of Statistics and Probability Theory

3. INSTITUTE OF ANALYSIS AND SCIENTIFIC COMPUTING (E 101) Magnetic field and potential of a cobalt plate: multi-scale problem; FEM-discretization for a non convex minimization problem Simulation of a solid under extreme temperature and density conditions; computation on fastest computer on earth: IBM BlueGene/L Bell-Award 2006 – world record!

4. INSTITUTE OF ANALYSIS AND SCIENTIFIC COMPUTING (E 101) Analysis of the cardiovascular system: modell identification (system of differential equations) with coupling to medical databases electric stimulation of spinal cord stimulationof acoustic nerve brain stimulation retina stimulation Electrical stimulation with nerval prosthesis: modelling & simulation with partial and ordinary differential equations

5. Algebra INSTITUTE OF DISCRETE MATHEMATICS AND GEOMETRY (E 104) Mathematical Analysis of Algorithms Convex und Discrete Geometry Computational Logic Error Correcting Codes Fuzzy Logic in Medicine

6. INSTITUTE OF DISCRETE MATHEMATICS UND GEOMETRY (E 104) Geometric Modelling and Industrial Geometry Differential Geometry and Geometric Structures

7. INSTITUTE OF MATHEMATICAL METHODS IN ECONOMICS (E 105)  Stock Price, Interest Rate and Credit Risk Modelling  Derivatives Pricing  Portfolio Optimization  Ruin Probability, Financial Risk Management  Life Tables (Chart: Logarithmic Male Mortality in Austria)  CD-Laboratory for Portfolio Risk Management (www.prismalab.at) (Joint Research with Bank Austria, Austrian Federal Financing Agency, FJA)www.prismalab.at Research Unit Financial and Actuarial Mathematics (FAM) Data driven Modelling  Development of Methods (in particular for Time Series): Modelling High-Dimensional Time Series, Factor Models, Multivariate Volatility Models  Applications in Economics and Business, Technology and Medicine: Macroeconomics, Housing Sector, Forecasting of Business and Financial Data, Analysis of Electroencephalograms Research Unit Econometrics and System Theory (EOS)

8. INSTITUTE OF MATHEMATICAL METHODS IN ECONOMICS (E 105)  Simulation of Evolutionary Economic Systems  The Role of Endogenous Preferences and Status in Dynamic Economic Models.  Age Structured, Dynamic Models (Application in Health and Labor Economics and New Economic Geography)  Macroeconomic Modelling  Agent Based Computational Modelling Research Unit Economics (ECON)  Development of New Methods for Model Based Decision Support: Operations Research, Optimization, Control, Dynamic Games  Applications in Economics, Management, Engineering, Social Sciences, Public Health Care  Recent Topics: Heterogeneous Population/Economic Systems, Control of Contagious Phenomena, Indeterminacy in Multi-Stage and Stochastic Models, Multi-Agent Modeling in Games and Auctions Research Unit Operations Research and Control Systems (ORCOS)

9. INSTITUTE OF STATISTICS AND PROBABILITY THEORY (E 107) Main Research Fields Engineering Statistics Engineering Statistics Statistical Analysis of Fuzzy Information Statistical Analysis of Fuzzy Information Geostatistics Geostatistics Probability Theory and Stochastic Processes Probability Theory and Stochastic Processes Reliability Analysis Reliability Analysis

10. FACULTY OF MATHEMATICS AND GEOINFORMATION: STUDIES Bachelor, Master, Doctorates and Secondary School Teachers Accreditation Mathematics in Science and Technology Mathematics in Computer Science Statistics and Mathematics in Economics Financial and Actuarial Mathematics Mathematics, Descriptive Geometry Surveying Science and Cadastral Research Geodesy and Geophysics Geoinformation and Cartography Any student of the Vienna University of Technology has to take courses in mathematics!

11. THE INSTITUTES OF THE DEPARTMENT FOR SURVEYING AND GEOINFORMATION Institute of Photogrammetry and Remote Sensing Institute of Geoinformation and Cartography Institute of Geodesy und Geophysics FACULTY OF MATHEMATICS AND GEOINFORMATION

12. INSTITUTE OF PHOTOGRAMMETRY AND REMOTE SENSING (E122) Vienna University of Technology and Karlsplatz in an aerial image … 3D models (no images), providing documentation and perspective views from arbitrary positions. Remote Sensing Example Airborne Geo-data acquisition Photogrammetry Example: Terrestrial Laser Scanning Photogrammetric methods deliver …

13. Environmental Monitoring Changes in  Snow and ice cover  Soil moisture  Vegetation, etc. Due to climate change floods and droughts occur more frequently. © ESA & EUMETSAT

14. INSTITUTE OF GEOINFORMATION AND CARTOGRAPHY (E127) Location Based Services from datato information example: car navigation Selection? Strategy? Solution? Quality? Presentation? Which questions arise when providing geoinformation? other data attributes of streets ownership structure geometry of streets

15. INSTITUTE OF GEODESY AND GEOPHYSICS (E 128) EARTH: size and shape of the Earth, gravity field, Earth rotation, atmosphere, positioning (GPS,...) EARTH: size and shape of the Earth, gravity field, Earth rotation, atmosphere, positioning (GPS,...) Research Group Advanced Geodesy Research Group Engineering Geodesy CIVIL WORKS AND NATURAL STRUCTURES Shape, position, motion and deformation of objects like bridges, tunnels, dams, high rising buidlings, landslides Setting out and monitoring

16. INSTITUTE OF GEODESY AND GEOPHYSICS (E 128) Mikroseismik Monitoring Tiefe Täler Permafrost Deep Alpine Valleys Lithospheric Structure and Dynamics Microseismic Monitoring Research Group Geophysics