Mathematics & Computer Science

Mathematics & Computer Science

Mathematics allows us to distill ideas and observations, to abstract to their fundamentals, and precisely define concepts and objects and the connections between them. It provides a language to formalize quantitative aspects of the natural sciences, and a way of thinking that is useful across a wide spectrum of research fields. Mathematicians at IST Austria understand their areas deeply, and combine this with the ability and openness to communicate with scientists in other disciplines. They have interests in a variety of areas, from analysis to topology to combinatorics to mathematical physics and beyond.

Computer science at IST Austria stands out among similar departments at other institutes in two particular ways. First, all computer science groups share an appreciation for foundational thinking, and base their research on a mathematically rigorous foundation. New insights are made, and new algorithms and formalisms developed, based on mathematical concepts and computational thinking. Second, the groups work to foster interdisciplinarity, strengthening the ties between life science, mathematics, and computer science—one of IST Austria’s signature characteristics

Mathematics and Computer Science at IST Austria are currently represented by:

DISTRIBUTED ALGORITHMS AND SYSTEMS

MATHEMATICAL MODELS OF EVOLUTION

COMPUTER GRAPHICS AND DIGITAL FABRICATION


ANALYTIC NUMBER THEORY AND ITS INTERFACES

COMPUTER-AIDED VERIFICATION, GAME THEORY

ALGORITHMS, COMPUTATIONAL GEOMETRY, AND COMPUTATIONAL TOPOLOGY


MATHEMATICS OF DISORDERED QUANTUM SYSTEMS AND MATRICES

THEORY OF PARTIAL DIFFERENTIAL EQUATIONS, APPLIED AND NUMERICAL ANALYSIS

GEOMETRY AND ITS INTERFACES


DESIGN AND ANALYSIS OF CONCURRENT AND EMBEDDED SYSTEMS

DISCRETE OPTIMIZATION

COMPUTER VISION AND MACHINE LEARNING


STOCHASTIC ANALYSIS

MATHEMATICAL PHYSICS


DISCRETE AND COMPUTATIONAL GEOMETRY AND TOPOLOGY

COMPUTER GRAPHICS AND PHYSICS SIMULATION



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