معرفی
Urs Schreiber is a Professor at New York University in Abu Dhabi (NYU AD), working in the Mathematics Division of Science. He leads the Research Center for Quantum and Topological Systems (CQTS) under the group of Prof. Hisham Sati. His work bridges mathematical physics, quantum theory, and topology, with significant contributions to understanding strongly-coupled quantum systems and their applications to topological quantum technology.
His research focuses on applying tools from algebraic topology and geometric homotopy theory to fundamental problems in quantum physics. His major projects include Hypothesis H on flux quantization in M-theory, geometric engineering of anyons on M5-branes, and developing quantum language via linear homotopy types. His work represents a unique synthesis of advanced mathematical techniques with cutting-edge theoretical physics, particularly in the areas of M-theory, topological quantum computing, and differential cohomology.
Schreiber has established himself as a leading figure in the application of higher categorical and homotopical methods to physics. His research demonstrates a clear trajectory toward developing mathematical frameworks for next-generation quantum technologies, with particular emphasis on topological approaches that could provide fault-tolerant quantum computing platforms. His work shows strong connections between abstract mathematical structures and practical quantum computing applications, particularly through homotopy type theory implementations.
- Monograph: The Character Map in Non-Abelian Cohomology (with D. Fiorenza & H. Sati, 2023)
- Monograph: Equivariant Principal ∞-Bundles (with H. Sati, 2025)
- Contributor: Mathematical Foundations of Quantum Field and Perturbative String Theory (2011)
Schreiber has advised numerous graduate students in areas spanning homotopy theory, quantum field theory, and mathematical physics. His teaching portfolio includes courses on Mathematical Quantum Field Theory, Topological K-Theory, and Stable Homotopy Theory. He is also the founder of the nLab research wiki project (started in November 2008), which has become an essential resource for researchers working at the intersection of mathematics and physics. His research group actively develops mathematical foundations for quantum and topological systems with practical implications for quantum technology development.
