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Author Archives: Sam Mattheus
Old wine in new bottles
It is no secret that cool combinatorial and geometrical constructions can take their time before revealing their usefulness in extremal graph theory. In this post I will collect a few, some of which might be not as well-known. Just over … Continue reading
Keeping busy
A lot has happened the last few months, but among those things, research was rather low on the list. So instead of the usual research-related post, I’ll give a quick update on what has kept me busy instead. Since the … Continue reading
Plans for the post-PhD life
Or as it is better known, the postdoc life. There was a serious part of me that considered quitting academia after the PhD, but in the end, I decided I want to try and stay anyway. There is course quite … Continue reading
Posted in Geen categorie
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Three short announcements
Three notable events in the very near future: On May 25 we will be hosting the second edition of the Dutch-Belgian Colloquium in Combinatorics at VUB. Aiming to give young researchers a platform, which was sorely lacking due to COVID, … Continue reading
Posted in Geen categorie
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Quotient matrices and bases of eigenspaces
A major research interest of mine is the investigation of EKR problems in different settings. This type of results is named after the well-known seminal result by Erdős, Ko and Rado on uniform set systems. Theorem Let and be a … Continue reading
New clique-free pseudorandom graphs
It’s been a while since my last post, which appeared just one month before the addition of the newest member to the Mattheus family. I leave it in the middle whether that is just a coincidence or actually the cause … Continue reading
Observations on Schubert varieties and EKR sets
I want to write down some observations I came across while working on the paper I also mentioned in the previous post. It is well known that Erdős-Ko-Rado problems in different context have a rich structure by which one can … Continue reading
Tagged EKR, q-analogues, Schubert
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Flags and non-commutative association schemes
Over the past few months, I have been working on some project regarding flags in finite geometries with Jan De Beule and Klaus Metsch. A preprint on this should appear in the near future. In any case, there is plenty … Continue reading
Finite Geometry and Friends 2019, the wrap-up
Last week our summer school in Brussels came to an end. I was very happy with the outcome: over 40 participants from 15 countries, a wonderful set of lectures and some refreshing contributed talks. And unless everyone lied to my … Continue reading
Multiplicative tilings in finite vector spaces
Some time ago, I came across an article due to Iosevich, Lai and Mayeli titled Tight wavelet frame sets in finite vector spaces. I’m not exactly sure why the suggestion system of ScienceDirect thought I might like this article from … Continue reading
Points And Lines 