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Clara Espírito Santo
BSc in Mechanical Engineering at University of Twente
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I'm thrilled to share that on February 22nd, I successfully defended my thesis titled "Basic Mathematical Principles in Cartography" at ETSIDI-Universidad Politécnica de Madrid during my semester abroad. Over the past few months, my research was based on the mathematical foundations of Cartography, with a particular focus on the applications of differential geometry. The main message of my paper was based on the biggest challenge within Cartography: "There is no ideal map". Through quantitative analysis, I have proven four important theorems addressing this issue and analysed the various map typologies that result from this challenge.
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Daniel Funke
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About three weeks ago, I successfully defended my PhD thesis. Today my dissertation "Algorithms for Triangles, Cones & Peaks" was published.In this dissertation we present efficient algorithms addressing three different geometric objects: triangles, cones and peaks.We devise a novel, parallel divide-and-conquer algorithm to construct Delaunay triangulations in shared and distributed memory.We present the first implementation of an optimal O(n log n)-time sweepline algorithm to construct the Yao graph - a cone-based geometric spanner.Furthermore, we address the problem of efficiently calculating the isolation of mountain peaks by presenting a novel sweep-plane algorithm.
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Pierre Schaus
See Also基于多尺度残差收缩U-Net的胎儿心电信号提取Associate Professor in the Computing science engineering department, at Ecole Polytechnique de Louvain@UCLouvain
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Vianney Coppé successfully defended his PhD thesis titled 'Advances in Discrete Optimization with Decision Diagrams: Dominance, Caching, and Aggregation-Based Heuristics.' Being the advisor a brilliant and humble researcher was both an honor and a pleasure. He made significant contributions to the relatively new field of optimization, focusing on the hybridization of branch-and-bound, decision diagrams, and dynamic programming initiated by Willem-Jan van Hoeve and his colleagues.The thesis: https://lnkd.in/ek2hJ4Nz
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Sahil Mukherjee
4th Year medical student at King's passionate about preventative medicine, consciousness and biotechnology.
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'Lattices and the geometry of numbers.' - 10.10.23My zeal for number theory led me to an exciting lecture by Peter Jossen on 'Lattices and the geometry of numbers.' It was fascinating to visualise lattices and to understand exploring the space and volume of a lattice. And so funny to actually understand how the volume of a lattice calculated by the determinant is in fact that area/volume because it is essentially the multiplication of the coordinates! I really enjoyed seeing Dr Jossen explain the use of scaling lattices for ease of exploration; how functions can be brought into a space, and how lattices can allow for quantification rather than just yes and no answers!It was fun to explore the relevance of some of these concepts in the Minkowski Conjecture. Things that particularly caught my attention were diagonals, the dynamics of group actions in space, mixed signature lattices and a fascinating proven list of 16 numbers. The list of all squarefree integers d>1 for which the real quadratic field Q(sqrt d) is Euclidean. D = 2, 3, 5, 6, 7, 11, 13, 17, 19, 21, 29, 33, 37, 41, 57, 73. I am keen to apply all these things. Thank you to maths soc for organising this seminar, and to DrPeter Jossen for such great teaching! JSRK
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Marcin Wierzbiński
PhD student & Assistant @ University of Warsaw | research Fellowship at Max Planck Institute
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2023-11-delta-art-03-czubla.pdf deltami.edu.plSome IT problems can be solved with simple algorithms whose correctness (i.e. answering as expected) is obvious. There are also problems for which very complex algorithms are needed and the known proofs of their correctness are extremely complex and convoluted.In this article, we will deal with a problem, that a straightforward algorithm can solve, but proving its correctness already requires some effort. This assignment was for a high school diploma and did not require so much theoretical consideration.An article (in Polish) related to the Pebble Game task was published this month in a Polish newspaper promoting science. We managed to write it together with Dagna Czubla. The Polish version is here: https://lnkd.in/dyMRkSmF
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Gene Ting-Chun Kao
R&D in Computational Geometry Processing @ Ansys | Dr. sc. ETH Zurich
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Finally! After a long journey, I now officially hold the title of Doctor of Sciences (Dr. sc. ETH Zürich)👨🎓. My PhD dissertation, titled "Stability Assessment of Discrete Shell Structures during Assembly," is now available online and can be freely accessed. https://lnkd.in/dD5DxJDxThanks again to my all supervisors and reviewers: Philippe, Stelian, Tom, and Jan for their guidance. My family members Bonnie and Genie for their endless support. More thanks please see the acknowledgement section in my thesis. Cheers!#ethzurich #phd #switzerland #graduation #work #studentlife #research #architecture #technology #computerscience #structures #digitalfabrication #programming #mathematics #optimization #geometry #simulation
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Radu Cimpeanu
Associate Professor (Reader) at the University of Warwick
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🎛 Very proud to see Oscar Holroyd's first publication out there in the public domain in the SIAM Journal on Applied Mathematics: https://lnkd.in/eDbtA4Vf. This exciting investigation brings together #mathematical #modelling, partial differential #equations, asymptotic #analysis, #scientific #computing, direct numerical #simulation and optimal #control theory, with all associated #code made available open source via GitHub: https://lnkd.in/e8xEMt-B.Therein we show that falling liquid films – a highly complex, non-linear interfacial flow – can be successfully stabilised using optimal feedback controls. To control the two-phase Navier-Stokes equations we use a hierarchy of simplifications, from asymptotics to approximation in a finite-dimensional space, to derive a linear quadratic regulator (#LQR). These controls succeed in stabilising the film to a target state (here a flat configuration that may be advantageous for e.g. coating applications) even in regions of the parameter space where the underlying model fails to capture the dynamics of the system. Really looking forward to further steps ahead with Oscar Holroyd, Susana Gomes, as well as other colleagues at the University of Warwick and beyond.
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Mohan HR
Former AVP Systems, The Hindu, AI Forum, IEEE Ambassador, Past President - CSI, Past Chair - IEEE CS, IEEE PCS Madras & ACM Chennai, IEEE CS R10 GAC
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It’s Time to Celebrate-Pi Day is March 14th!The 14th of March bring us Pi Day-an opportunity for math enthusiasts to celebrate the constant that is used to represent the ratio of a circle’s circumference to its diameter. Pi is a staple in advanced mathematics equations, many of which have led to advancements in science, technology, and of course, engineering. (Source:https://lnkd.in/gHEH35c4)
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Ivy Lee
Most True IoE: 1st Msgr (InspectRx®Color-SpectRx™Hardness Pharm-VivoMed-Food-Beauty) + 2nd (biosensor cluster® of QT Temp, Super Pressure, Humidity, PH, Optical...)
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Figure 15. Chaotic dynamics is characterized by two complementary... researchgate.netChaotic dynamics is characterized by two complementary processes occurring simultaneously: while the state space is stretched, injecting information locally, it is also folded as a whole, erasing information globally (a). Their repeated action (b) leads to a continuous uplift of information from small to large scales. Original drawings reproduced from [1]. Reproduced with permission from [1], figures 24 and 25.https://lnkd.in/gv3CN46p
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UAntwerp - Faculty of Science
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On Thursday August 24 at 4:30 pm, Marco Zaninelli from our UAntwerp - Department of Mathematics and supervised by Karim Johannes Becher will publicly defend the PhD thesis "Methods for sums of squares in fields" at Campus Middelheim, aula G.010. Everyone is cordially invited to attend this public defense.In this dissertation we develop algebraic techniques to compute upper bounds for the number of squares necessary to represent a sum of squares in a field. In particular, we obtain an upper bound for the number of squares necessary to represent products of positive definite real quadratic forms as sums of squares of fractions of forms. We also provide a wide range of methods to compute upper bounds for the Pythagoras number of a field, that is, the minimal number of squares necessary to represent all sums of squares in the field. Among these methods is a local-global principles for rational function fields, for which we give a new argument, and the real holomorphy ring of a field, which we study thoroughly. These provide alternative proofs to renowned results of Y. Pourchet and F. Pop's works about the Pythagoras number of function fields in one variable over the rational numbers. Finally, we provide a novel way to compute upper bounds for the Pythagoras number of a field possessing a finite number of valuations with certain properties, which applies to an ample range of situations.
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