Hofstadter Butterfly

About Me

I am a PhD student in the Correlated Quantum Materials group at Aalto University, Finland, working at the intersection of condensed matter theory and light-matter interactions. My current research focuses on van der Waals multiferroics and tensor network methods.

My interests span a broad swath of condensed matter physics, from magnetism and topology to disorder and quasicrystals, as well as nano- and quantum optics. I am also interested in quantum information theory, quantum computation, and the many ways quantum field theory and higher mathematics illuminate the physics of materials.

Explore my thoughts and notes on these topics in the blog!

Latest Publications

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Latest Posts

  • C-linear categories, simplicity and semisimplicity

    Introducing C-linear categories, semisimplicity, direct sums, and how linear structure organizes a category into "matrix blocks" built from irreducibles.

  • Pivotal and ribbon categories

    The notion of pivotal categories, where the double dual of an object is equivalent to the object itself, and the concept of ribbon categories.

  • Dual objects in category theory

    Dual objects and dualizability, capturing the notion of maximally entangled states in categorical quantum mechanics.

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