Perimeter Institute for Theoretical Physics

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Welcome to my page. I am a mathematician at the Perimeter Institute in Waterloo, Ontario. My work deals with identifying and exploiting previously unrecognized mathematical structures in various contexts. So far, I have mostly done this for mathematical aspects of quantum theory, but a diverse background in mathematics, theoretical physics and computer science enables me to do this more generally. So if unclear mathematical structures pop up in your research and you would like help in understanding them better, please get in touch!

Work in progress: The mathematical structure of theories of resource convertibility, I.

- Characterizations of Shannon and Rényi entropy.
- Characterizing Entropy (slides of John Baez with minor modifications).
- Equality.
- A Combinatorial Approach to Nonlocality and Contextuality.
- Bell's Theorem on arbitrary causal structures.
- Resources.
- Turning Weyl's tile argument into a no-go theorem.
- Quantum correlations and group
*C**-algebras. - Witnessing Infinite-dimensional State Spaces.
- Horn Formulas as Linear Inequalities and Nonlocality Paradoxes.
- Tsirelson's problem and Kirchberg's conjecture.
- Cuntz' proof of Bott periodicity for
*C**-algebras. - Quantum correlations and group
*C**-algebras. - Curious properties of iterated measurements.
- Abstract Convexity: Results and Speculations.
- Abstract Convexity.
- The Geometry of the Standard Model.
- The Geometry of Black Holes.

- Himmelsmechanik.
- Verschränkung und Verschränkungsmaße.
- Episodengedächtnis bei rabenartigen Vögeln.
- Evolutionäre Algorithmen.

- 2015 Apr 8–10: Entropy and Information in Biological Systems, Knoxville.
- 2015 May 24–28: Categorical Foundations of Network Theory, Torino.
- 2015 Jul 20–24: New England Complex Systems Institute, Cambridge.
- 2015 Oct 28–30: Geometric Science of Information, Paris.