Abstracts

Gerlind Plonka - Mathematical signal and image processing

In this talk, I will present different problems that we have studied in recent years in my research group on Mathematical Signal and Image Processing. In this application field, tools from various areas of mathematics can be successfully applied. For example, for compression of signals and images we can devise approaches from approximation theory, Fourier analysis (like cosine transform and wavelet transform), but also encoding and decoding models. Image denoising and image reconstruction tasks can be understood as inverse problems which can be tackled by tools ranging from computational harmonic analysis to variational analysis, PDE-methods, and convex optimization. Efficient and reliable algorithms play a particular role in signal and image processing, these are usually based on linear algebra. I would like to show in this talk how these mathematical approaches can be used to solve our practical problems at hand.

Annie Cuyt - An academic career in computational mathematics

After graduating as a Master in Science, Mathematics, in 1978, with a curious nature and a keen interest in various computational aspects, I immediately started a research career at my alma mater in Antwerp (Belgium). Geographically this career brought me to Bonn (Germany) and Tilburg (The Netherlands) and for a sabbatical to Stanford (USA) and Oxford (UK). Contentwise the research journey took me, not necessarily in chronological order, to topics in computer arithmetic, symbolic computing, approximation theory, numerical analysis, matrix theory and scientific computing. I intend to discuss some major contributions to each of these domains, at an entrance level ;-) You are cordially invited to join me on this trip.

Tara Brendle - Braids: a maths story

Braids are familiar objects to many of us: in our art, in our hair and clothes, even in our food. In this talk we will explore how braids are similarly ubiquitous in mathematics, with a focus on the role of braid theory in algebra and low-dimensional topology. Along the way, and through this lens, I’ll share some of the experiences and ideas that shaped my own research path in this rich and rewarding area of mathematics.

Yulia Timofeeva - Mathematics meets biology: the complexity of calcium signalling

Being interested in both mathematics and biology in my youth, I think I made the right decision for myself to study applied mathematics, so later during my PhD I stepped into the exciting area of mathematical biology. My focus was on investigating calcium oscillations and waves in single and multicellular systems using simplified, minimal models susceptible to mathematical analysis. After my PhD gradually I started shifting into the area of computational neuroscience and working closer with life scientists. This shift naturally forced me to start developing more detailed, biologically realistic models of calcium dynamics, the analysis of which is restricted to numerical methods. In this talk I will reflect on my past and current research directions, and will demonstrate how experimentally constrained computational modelling of underlying biological processes can complement laboratory studies and provide insights into the mechanisms controlled by calcium.

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