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| D.-E. Freed | |
|---|---|
| Name | D.-E. Freed |
| Birth date | 1938 |
| Birth place | Vienna, Austria |
| Fields | Theoretical physics, Quantum field theory, Mathematical physics |
| Institutions | Institute for Advanced Study; Princeton University; University of California, Berkeley |
| Alma mater | University of Vienna; Harvard University |
| Doctoral advisor | Sidney Coleman |
| Known for | Topological phases, anomalies, conformal field theory |
D.-E. Freed is a theoretical physicist noted for foundational work at the interface of quantum field theory, topology, and mathematical physics. His research has influenced the study of topological insulators, anomalies, and the classification of symmetry-protected topological order. Freed has held positions at leading institutions including the Institute for Advanced Study and has collaborated with researchers across Princeton University, Harvard University, and the University of California, Berkeley. His work bridges formal aspects of conformal field theory and applied ideas relevant to condensed matter systems and string theory.
D.-E. Freed was born in Vienna and educated in the Austrian school system before pursuing advanced study in the United States. He studied physics at the University of Vienna and moved to the United States for graduate work at Harvard University, where he worked under the supervision of Sidney Coleman. His doctoral studies placed him in close contact with the communities at MIT, Princeton University, and the Institute for Advanced Study, exposing him to leading figures such as Julian Schwinger, Murray Gell-Mann, Richard Feynman, and Gerard 't Hooft. During this period he attended seminars on conformal field theory, gauge theory, and the emerging mathematical frameworks championed by researchers at Bell Labs and Brookhaven National Laboratory.
Freed's early career included postdoctoral and faculty appointments at institutions that were hubs for both physics and mathematics. He held positions at Princeton University and later at the Institute for Advanced Study, where he collaborated with mathematicians associated with Princeton's Department of Mathematics and physicists tied to IAS School of Natural Sciences. He spent sabbatical terms at the Max Planck Institute for Mathematics, the University of California, Berkeley, and the École Normale Supérieure. Over the decades he maintained sustained interactions with researchers at Caltech, Stanford University, Columbia University, and the University of Chicago, contributing to cross-disciplinary workshops at the Kavli Institute for Theoretical Physics and the Newton Institute.
Freed supervised graduate students who went on to positions at institutions including Harvard University, Yale University, and University of California, San Diego. He served on advisory committees for the National Science Foundation and on editorial boards for journals such as Communications in Mathematical Physics and Journal of High Energy Physics. His visiting appointments included fellowships at the Institut des Hautes Études Scientifiques and collaborative terms with researchers at CERN.
Freed's contributions span several interconnected domains. He developed mathematical formulations clarifying the role of anomalies in quantum field theories, building on work by Alvarez-Gaumé, Witten, and Faddeev. His analysis of anomaly cancellation conditions influenced understanding in string theory, particularly regarding consistency constraints identified in the Green–Schwarz mechanism. Freed's research on topological field theories connected ideas from Donaldson theory and Seiberg–Witten theory to physical models, aligning with approaches advanced by Edward Witten and Maxim Kontsevich.
In condensed matter contexts, Freed helped formulate classification schemes for symmetry-protected topological order and topological insulators, relating them to generalized cohomology theories such as K-theory and cobordism theory. These efforts complemented parallel developments by Shinsei Ryu, Xiao-Gang Wen, and A. Kitaev and informed experimental searches for materials exhibiting protected edge modes first explored in studies following the quantum Hall effect and Haldane model.
Freed also contributed to rigorous aspects of conformal field theory and the mathematical underpinnings of modular invariance, building on the work of Belavin, Polyakov and Zamolodchikov and later formalizations by Graeme Segal and Boris Tsygan. His collaborations with mathematicians engaged with index theory, including figures from Atiyah–Singer index theorem developments, advanced the application of index-theoretic techniques to quantum field theoretic problems.
Freed authored and coauthored influential papers and monographs addressing topological phases, anomalies, and field-theoretic invariants. Notable publications appeared in journals such as Communications in Mathematical Physics, Annals of Physics, and Journal of Differential Geometry. He coauthored works with figures including Michael Hopkins, Greg Moore, and Edward Witten on subjects ranging from invertible field theories to anomaly inflow and the classification of phases via cobordism groups.
Selected works include papers that make rigorous the relation between partition functions of topological theories and index theory results originally motivated by Atiyah, Singer, and Bismut. Freed's survey articles and lecture notes have been presented at venues including the International Congress of Mathematicians, the Strings Conference, and workshops at the Kavli Institute for Theoretical Physics, influencing both physicists and mathematicians working on topological quantum field theory, gerbes, and higher-categorical structures.
Freed received recognition from several professional organizations. He was elected to membership in national academies such as the National Academy of Sciences and awarded fellowships including the Guggenheim Fellowship and a senior fellowship at the Institute for Advanced Study. His honors include prizes conferred by mathematical societies and invitations to deliver named lectures at institutions like Princeton University and the École Polytechnique. He served on prize committees for awards such as the Breakthrough Prize in Fundamental Physics and participated in panels for the Simons Foundation.
Category:Theoretical physicists Category:Mathematical physicists Category:Topological quantum field theory