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Warner A. MillerView profile

Professor

• General Relativity
• Quantum Information Geometry
• Discrete Geometry
• +4 more

Warner A. Miller is a Professor of Physics at Florida Atlantic University (FAU), specializing in theoretical physics with a focus on general relativity, quantum gravity, and discrete geometry. He holds a BS in Physics and Mathematics from the University of Maryland (1981) and a Ph.D. in Physics from the University of Texas at Austin (1986). His research explores the interplay between quantum information geometry, spacetime structure, and gravitational phenomena, with applications in quantum communication, black hole physics, and cosmological models. Affiliations: Department of Physics at FAU, Center for Biomedical & Materials Physics (CBAMP), and Spacetime/FAUST Complex Systems research group. Key Research Themes: Simplicial Ricci flow, Regge calculus, quantum entanglement in curved spacetime, and gravitational effects on photon polarization. Dr. Miller has contributed to over 50 peer-reviewed articles, advancing topics such as quantum reactivity, discrete geometric models of spacetime, and experimental validations of information-theoretic Bell inequalities in relativistic settings. His work bridges quantum information science with gravitational physics, addressing foundational questions in quantum gravity and cosmology. His publications span journals like Physical Review D , Classical and Quantum Gravity , and Entropy , reflecting interdisciplinary collaborations with researchers in quantum optics, cosmology, and differential geometry. A notable contribution is the development of simplicial Ricci flow techniques for studying spacetime singularities.

• Geometry
• Mathematical Physics
• Complex Systems
• +4 more

Jürgen Jost is an Honorary Professor in the Department of Mathematics at the University of Leipzig and a retired Director at the Max Planck Institute for Mathematics in the Sciences. He is a member of multiple prestigious academies including the Leopoldina and the Santa Fe Institute for the Sciences of Complexity. His research focuses on geometric analysis, complex systems, network science, and applications in chemistry and neuroscience. Key areas include Ricci curvature in networks, Dirac-harmonic maps, and the evolution of chemical knowledge systems. Jost has received major awards such as the Leibniz Prize (1993) and an ERC Advanced Grant (2010). His work bridges pure mathematics with interdisciplinary applications, including topological data analysis and mathematical biology. He leads the Max Planck School of Cognition and has contributed to foundational studies on minimal surfaces, geometric flows, and information geometry.

Christoph BöhmView profile

Professor

• Differential Geometry
• Geometric Evolution Equations
• Ricci Flow
• +8 more

Christoph Böhm is a Professor at the Mathematical Institute, Department of Mathematics and Computer Science, University of Münster, Germany. He is a principal investigator in the Collaborative Research Center CRC 1442 "Geometry: Deformations and Rigidity" and a key member of the Excellence Cluster Mathematics Münster. His research lies at the intersection of differential geometry, geometric analysis, and dynamical systems, with a focus on Ricci flow, Einstein metrics, and geometric evolution equations. Research Interests: His work primarily explores Differential Geometry with deep focus on Ricci Flow , Homogeneous and Cohomogeneity-One Spaces , Einstein Manifolds , and Curvature Analysis . He investigates the long-term behavior of geometric flows, rigidity phenomena, and the interplay between symmetry and curvature. His projects such as "Geometric evolution equations" (CRC 1442 - B02) and "Harmonic maps and symmetry" (CRC 1442 - B04) reflect his interest in geometric PDEs under symmetry assumptions. He also contributes to understanding singular spaces and irregular gradient flows in geometric contexts. The recent publications highlight a consistent trend in homogeneous Ricci flows , non-compact Einstein manifolds , and scalar curvature behavior . These works demonstrate a strong emphasis on classification, existence, and optimal estimates in geometric evolution, often leveraging group actions and symmetry. The subfields span geometric PDEs, Lie group geometry, and variational methods. Scientific Awards: No specific awards are mentioned in the provided text. Advising and Grants: While no formal students are listed, Böhm has extensive collaborative research with mathematicians such as Ramiro Lafuente, Burkhard Wilking, Timothy Buttsworth, and Brian Clarke. He is actively involved in major funded projects including CRC 1442 (B02, B04), EXC 2044 (B1, C4), and a project on dynamical systems and irregular gradient flows. These grants support his research in geometric analysis and its connections to topology and mathematical physics. Labs and Teams: Böhm is part of the research group in differential geometry at the University of Münster, collaborating closely with Prof. Burkhard Wilking. He contributes to the broader Mathematics Münster cluster, which fosters interdisciplinary research in geometry, analysis, and topology. His work is integrated into a vibrant research environment focused on "Groups and actions", "Curvature, shape, and global analysis", and "Singularities and PDEs".