CV

Senior postdoctoral researcher

University of Innsbruck

Independent research in applied category theory and quantum information.

• Algebra group, led by Tim Netzer
• Funded by my FWF ESPRIT Grant Ergodic Theory in Categorical Probability

Postdoctoral researcher

University of Innsbruck

Conducting research in applied category theory and quantum information theory.

• Mathematical quantum physics group, led by Gemma De Les Coves

Supervisor / teaching assistant

Applied Category Theory Adjoint School

Co-leading a summer school research project with Paolo Perrone.

• Topic: Modelling Uncertainty with Markov Categories

Supervisor / project lead

University of Waterloo & University of Innsbruck

Supervising Master’s thesis projects of:

• Yìlè Yīng (MSc, 2022, co-supervised by RW Spekkens); Asymmetry Trade-off Relations: A New Kind of Uncertainty Relations
• Stefan Kremminger (MSc, 2024); Quantum Conditional Independence

Teaching assistant

University of Waterloo

• Conducting tutorials for graduate level courses in Quantum Theory and Statistical Physics.
• Supervising multiple Master’s level winter school projects in Quantum Foundations.

Visiting researcher

ETH Zürich

Collaborating with researchers in the group of Renato Renner on topics in information theory.

Online tutor

InstaEDU

Online tutoring of undergraduate students in science and engineering.

Career development internship

University of Edinburgh

A summer project on modelling turbulence in Matlab.

• Topic: Transition to turbulence in plane Couette flow

Personal tutor

In-person tutoring of high school students.

Reviewer

Scientific Journals

Reviewing manuscripts for:

• Philosophy of Science (1)
• Quantum (3)
• Compositionality (2)
• Journal of Pure and Applied Algebra (1)
• Journal of Mathematical Physics (1)
• various conference submissions.

Organizer

Positive Futures Festival

Co-organizing an annual two week long music festival with ~40 concerts and ~1000 attendees.

Organizer

Touch&Play Cologne Festival

Co-organizing and facilitating an annual week long retreat with ~100 attendees.

PhD

Perimeter Institute & University of Waterloo

Physics, Quantum Information

• Thesis: Resource theories as quantale modules
• Supervisor: Dr. Robert W. Spekkens

MSc & PSI (Perimeter Scholars International)

Perimeter Institute & University of Waterloo

Theoretical Physics

• Thesis: Resource theoretic approach to causal inference
• Supervisor: Dr. Robert W. Spekkens

BSc

University of Edinburgh

Mathematics & Physics

• First class honours, 92% average grade
• Thesis: Symplectic Geometry
• Supervisor: Dr. Johan Martens

ESPRIT Grant Ergodic Theory in Categorical Probability

FWF - Austrian Science Fund

The ESPRIT Grant supports young independent researchers in Austria.

Napier Medal and Gangadhar Balwant Gadgil Prize

University of Edinburgh, School of Mathematics

Awarded to the best student in the Year 4 of the Mathematics program.

Nichol Foundation Scholarship

University of Edinburgh, School of Physics and Astronomy

Awarded to the best overall mark in the Year 3 of Physics degrees.

Kelland Memorial Prize

University of Edinburgh, School of Mathematics

Awarded for distinguished performance for direct entrants into the Second year of the program.

Empirical measures and strong laws of large numbers in categorical probability

preprint

We introduce axioms for empirical sampling morphisms, which are abstract notions of empirical measures within the framework of categorical probability. Using these, we prove abstract versions of the de Finetti theorem, the Glivenko–Cantelli theorem, and the strong law of large numbers, and show that classical results are recovered via the category of partial Markov kernels.

De Finetti's theorem in categorical probability

Journal of Stochastic Analysis

A novel proof of de Finetti’s Theorem characterizing permutation-invariant probability measures of infinite sequences of variables. The proof is phrased in the language of Markov categories, which provide an abstract categorical framework for probability and information flow. The diagrammatic and modular nature of the arguments makes the proof intuitive and easy to follow.

Epistemic horizons from deterministic laws: Lessons from a nomic toy theory

Synthese

A study of what embedded observers can learn about the rest of the world made up of classical particles. We show that, in spite of deterministic physical laws, they face an epistemic horizon — properties such as position and momentum cannot be known simultaneously.

A framework for universality in physics, computer science, and beyond

Compositionality

First steps towards an abstract theory of universality, generalizing universal Turing machines, universal spin systems, completeness for complexity classes,and much more.

Monotones in general resource theories

Compositionality

Resource theories offer an abstract framework for comparing resources for all kinds of tasks. We provide a general theory for quantifying the cost and yield of a resource, generalizing a plethora of known constructions.

Introduction to categorical probability

A 4-lecture mini-course at the Perimeter Institute

• Online recordings: pirsa.org/c25054

Introduction to categorical probability

IQOQI Vienna Seminar

• Youtube recording: youtube.com/watch?v=eVfFuIGEZxc

Resource dependence relations and contextuality in asymmetry trade-offs

Quantum Physics and Logic (QPL) Conference

Epistemic horizons from deterministic laws: Lessons from a nomic toy theory

OASIS — The Oxford Advanced Seminar on Informatic Structures

• Invited talk

A framework for universality in physics, computer science, and beyond

NYC category theory seminar

• Invited talk
• Youtube recording: youtube.com/watch?v=8_ZX2vpqBZU

Supports and idempotent splitting in Markov categories

Applied Category Theory Conference

• Youtube recording: youtube.com/watch?v=3QJzfdZu8_g

A framework for universality in physics, computer science, and beyond

Category Theory at Work in Computational Mathematics and Theoretical Informatics (CATMI)

• Invited talk

De Finetti's theorem in categorical probability

Applied Category Theory Conference

Blackwell-Sherman-Stein Theorem in categorical probability

Applied Category Theory Conference

• keynote presentation
• Youtube recording: youtube.com/watch?v=fgWUV-hE0CI

Almost quantum correlations are inconsistent with Specker's principle

Quantum Information Processing (QIP) Conference

Almost quantum correlations are inconsistent with Specker's principle

Q-Turn Conference

• Youtube recording: youtube.com/watch?v=u2XwLiktTI8

The ontological nature of causality

Rethinking Foundations of Physics Workshop

• Youtube recording: youtube.com/watch?v=3QJzfdZu8_g

Peculiarities of quantum theory

FKS Summer School