Welcome to my site
I started building this site for two reasons. First of all, because I like trying something new and it had been years since I last toyed around with website building. Secondly, because I wanted a place where I could share my academic interests with the rest of the world. I am well aware that I will probably not reach a lot of people, but even if nobody reads my blogs, it still makes for a nice place to write up stuff for myself and find out what I still do not fully understand.
I am using MathJax to typeset all equations so as to obtain a nice LateX feel. As a test, the Dirac action on a general spin manifold should be nicely rendered here:
\[S_\text{Dirac}[\psi] := \int_M \bar{\psi}(i/\!\!\!\partial-m)\psi\,\mathrm{Vol}_M\,.\]However, not all operators or packages are implemented in MathJax, so it is possible that certain formulas do not look as clean as they would when using ordinary $\LaTeX$.
Research projects
- Structured conformal prediction for partially observed data
- A metric interpretation of popular nonconformity scores
- The abstract nonsense of conformal prediction
- Hierarchical side-information for clusterwise conformal prediction: A continuation of the last chapter in my PhD thesis.
Pinned posts
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This Month's Read III: Electric-magnetic duality (Ongoing)
Last “This month’s read” post was about probability theory. This month’s post will cover something completely different: electromagnetism (and some generalizations). Although we have experimentally discovered only electric charges (magnetic fields are generated by moving or ‘spinning’ electric charges), the laws of electromagnetism exhibit a variety of beautiful symmetries and duality relations when we introduce magnetic charges as well!
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This Month's Read II: Quantum logic (Ongoing)
Last month’s post was about probability theory. This month’s post will cover something completely different. Most people have heard about quantum mechanics and its implications for technology (in the form of quantum computing). What is less well known is the logical structure of the propositions that can be considered in quantum mechanics. ‘Quantum logic’, which is the type of logic that should come out of this consideration, has been studied since the days that quantum mechanics was formalized. However, pay attention to the word ‘should’ in the previous sentence. It turns out that the naive logic that one would extract is actually quite ill behaved.
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This Month's Read I: Abstract Wiener Spaces
One of the most influential websites for me was John Baez’s This Week’s Finds. I learned many things from these blog posts and it helped me realize which scientific or mathematical topics interested me most. Lately, I have been spending quite some time studying several topics, usually a few weeks each, and it occurred to me that it might be fun and interesting to write about them (even though everything hasn’t been worked out yet).
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Frieze patterns, quantum information theory and group cohomology (Ongoing)
In 2019, I successfully defended my Master’s thesis on matrix product states and symmetry-protected phases topological phases (see here). Now, almost 5 years later, I think it is the perfect time to write down a (short) introduction and overview of what I did during my thesis and how it relates to various fields of science.
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Holidays in Cyprus
A selection of pictures from the trip to Cyrpus in May, 2024 with my girlfriend.
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Public PhD Defense
This post contains the content of my PhD defense, together with some extra information and (personal) ideas for further work.