Quantum Formalism (QF) Academy

Quantum Formalism (QF) Academy is hosting biweekly AMA sessions with a Category Theorist to help researchers and engineers deepen their understanding of Category Theory.

If you're working in Artificial Intelligence, Machine Learning, or Quantum Computing, and need clarity on adjunctions, fibrations, enriched categories, monoidal structures, and other categorical concepts, this is your chance to ask technical questions.

Who Should Attend?

• Researchers and engineers in AI, ML, and Quantum Computing.
• Those seeking precise explanations of advanced categorical concepts.

What These Sessions Are For:

• Clarifications on technical mathematical aspects of Category Theory.
• Discussions on definitions, theorems, and categorical structures.

What These Sessions Are Not For:

• Guidance on where or how to apply Category Theory (our expert is a mathematician, not an applied scientist). However, participants are encouraged to share their goals and interests in Category Theory, as Adrian is motivated to explore its applications in areas such as AI and Quantum Computing.

Next Session Details:

📅 Date & Time: Wednesday, May 21 at 7PM BST.

Register to Join

You can watch the replay of some of our previous sessions on YouTube or LinkedIn.

Adrian completed his bachelor's and master's degrees in mathematics at ETH Zürich. His academic interests were sparked during an ETH seminar on the bordism hypothesis, which led him to explore homotopy theory and higher categories, particularly their applications to mathematical physics. Under the joint supervision of Bertrand Toën and Giovanni Felder, Adrian wrote his master's thesis focusing on higher algebraic geometry.

Drawn by its excellence in homotopy theory and derived geometry, as well as its strong collaborations with the physics department, Adrian pursued his PhD at the University of Texas at Austin. Under Andrew Blumberg's supervision, his doctoral research focused on topos theoretic aspects of geometry. His dissertation detailed the construction of homotopical calculi on the infinity topos of differentiable sheaves.

From 2022 to 2024, Adrian worked as a postdoctoral associate at the Center for Quantum and Topological Systems at NYUAD under Hisham Sati. This position enabled him to apply his expertise in smooth geometry and bordisms to complex problems in quantum computation.

Adrian's current research applies the simplicial distributions framework developed by Okay et al. to quantum contextuality. This innovative approach combines category theory, algebraic topology, and combinatorial methods to discover novel quantum systems with the potential to serve as platforms for implementing cutting-edge quantum algorithms.