FACULTY OF MATHEMATICS AND GEOINFORMATION

Dean: D. Dorninger

TWO DEPARTMENTS

MATHEMATICSSURVEYING AND GEOINFORMATION

FACULTY OF MATHEMATICS AND GEOINFORMATION

DEPARTMENT OF MATHEMATICS

Institute of Analysis and Scientific ComputingInstitute of Discrete Mathematics and GeometryInstitute of Mathematical Methods in EconomyInstitute of Statistics and Probability Theory

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!

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

Algebra

INSTITUTE OF DISCRETE MATHEMATICS AND GEOMETRY (E 104)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

INSTITUTE OF DISCRETE MATHEMATICS UND GEOMETRY (E 104)INSTITUTE OF DISCRETE MATHEMATICS UND GEOMETRY (E 104)

Geometric Modelling and Industrial Geometry

Differential Geometry and Geometric Structures

INSTITUTE OF MATHEMATICAL METHODS IN ECONOMICS INSTITUTE OF MATHEMATICAL METHODS IN ECONOMICS (E 105) (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)

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)

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)

INSTITUTE OF STATISTICS AND PROBABILITY THEORY (E 107)INSTITUTE OF STATISTICS AND PROBABILITY THEORY (E 107)

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Main Research FieldsMain Research Fields

• Engineering StatisticsEngineering Statistics• Statistical Analysis of Fuzzy InformationStatistical Analysis of Fuzzy Information• GeostatisticsGeostatistics• Probability Theory and Stochastic ProcessesProbability Theory and Stochastic Processes• Reliability AnalysisReliability Analysis

FACULTY OF MATHEMATICS AND GEOINFORMATION: STUDIES

Bachelor, Master, Doctorates and Secondary School Teachers Accreditation

Mathematics in Science and TechnologyMathematics in Computer ScienceStatistics and Mathematics in EconomicsFinancial and Actuarial Mathematics

Mathematics, Descriptive Geometry

Surveying Science and Cadastral ResearchGeodesy and GeophysicsGeoinformation and Cartography

Any student of the Vienna University of Technology has to take courses in mathematics!

THE INSTITUTES OF THE DEPARTMENT THE INSTITUTES OF THE DEPARTMENT FOR SURVEYING AND GEOINFORMATIONFOR SURVEYING AND GEOINFORMATION

Institute of Photogrammetry and Remote Sensing Institute of Photogrammetry and Remote Sensing Institute of Geoinformation and Cartography Institute of Geoinformation and Cartography Institute of Geodesy und GeophysicsInstitute of Geodesy und Geophysics

FACULTY OF MATHEMATICS AND GEOINFORMATION

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 ExampleAirborne Geo-data acquisition

Photogrammetry Example: Terrestrial Laser Scanning Photogrammetric methods deliver …

Environmental Monitoring

• Changes in Snow and ice cover Soil moisture Vegetation, etc.

Due to climate change floods and droughts occur more frequently.

© ESA & EUMETSAT

INSTITUTE OF GEOINFORMATION AND CARTOGRAPHY (E127)INSTITUTE OF GEOINFORMATION AND CARTOGRAPHY (E127)

Location Based Services

from data to information

example: car navigationSelection?

Strategy?Solution?Quality?Presentation?

Which questions arise when providing geoinformation?

other data

attributes of streets

ownership structure

geometry of streets

INSTITUTE OF GEODESY AND GEOPHYSICS (E 128)INSTITUTE OF GEODESY AND GEOPHYSICS (E 128)

EARTH: EARTH: size and shape of the Earth, gravity field, Earth rotation, atmosphere, positioning (GPS, ...)size and shape of the Earth, gravity field, Earth rotation, atmosphere, positioning (GPS, ...)

Research Group Advanced Geodesy

Research Group Engineering GeodesyResearch Group Engineering Geodesy

CIVIL WORKS AND NATURAL STRUCTURESCIVIL WORKS AND NATURAL STRUCTURES

Shape, position, motion and deformation of Shape, position, motion and deformation of objects like bridges, tunnels, dams, high rising objects like bridges, tunnels, dams, high rising buidlings, landslidesbuidlings, landslides

Setting out and monitoringSetting out and monitoring

INSTITUTE OF GEODESY AND GEOPHYSICS (E 128)INSTITUTE OF GEODESY AND GEOPHYSICS (E 128)

Mikroseismik Monitoring

Tiefe Täler

Permafrost

Deep Alpine Valleys

Lithospheric Structure and Dynamics

Microseismic Monitoring

Research Group Geophysics