# Thomas Spencer (mathematical physicist)

Last updated
Thomas C. Spencer
BornDecember 24, 1946 (age 75)
Education A.B., University of California, Berkeley
Ph.D., New York University
TitleProfessor
Spouse(s)Bridget Murphy
Awards Henri Poincaré Prize (2015)
Dannie Heineman Prize for Mathematical Physics (1991)

Thomas C. Spencer (born December 24, 1946) is an American mathematical physicist, known in particular for important contributions to constructive quantum field theory, statistical mechanics, and spectral theory of random operators. [1] He earned his doctorate in 1972 from New York University with a dissertation entitled Perturbation of the Po2 Quantum Field Hamiltonian written under the direction of James Glimm. Since 1986, he has been professor of mathematics at the Institute for Advanced Study. He is a member of the United States National Academy of Sciences, [1] and the recipient of the Dannie Heineman Prize for Mathematical Physics (joint with Jürg Fröhlich, "For their joint work in providing rigorous mathematical solutions to some outstanding problems in statistical mechanics and field theory."). [2] [3]

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## References

1. 1991 Dannie Heineman Prize for Mathematical Physics Recipient, American Physical Society. Accessed June 24, 2011
2. Glimm, J; Jaffe, A; Spencer, T (1974). "The Wightman axioms and particle structure in the ${\displaystyle P(\phi )_{2}}$ quantum field model". Ann. of Math. 100 (3): 585–632. doi:10.2307/1970959. JSTOR   1970959.
3. Fröhlich, J.; Simon, B.; Spencer, T. (1976). "Infrared bounds, phase transitions and continuous symmetry breaking". Comm. Math. Phys. 50 (1): 79–95. Bibcode:1976CMaPh..50...79F. CiteSeerX  . doi:10.1007/bf01608557. S2CID   16501561.
4. Fröhlich, J.; Spencer, T. (1981). "The Kosterlitz–Thouless transition in two-dimensional abelian spin systems and the Coulomb gas". Comm. Math. Phys. 81 (4): 527–602. Bibcode:1981CMaPh..81..527F. doi:10.1007/bf01208273. S2CID   73555642.
5. Fröhlich, J.; Spencer, T. (1982). "The phase transition in the one-dimensional Ising model with 1/r2 interaction energy". Comm. Math. Phys. 84 (1): 87–101. Bibcode:1982CMaPh..84...87F. doi:10.1007/BF01208373. S2CID   122722140.
6. Fröhlich, J.; Spencer, T. (1983). "Absence of diffusion in the Anderson tight binding model for large disorder or low energy". Comm. Math. Phys. 88 (2): 151–184. Bibcode:1983CMaPh..88..151F. doi:10.1007/bf01209475. S2CID   121435596.
7. Brydges, D.; Spencer, T. (1985). "Self-avoiding walk in 5 or more dimensions". Comm. Math. Phys. 97 (1–2): 125–148. Bibcode:1985CMaPh..97..125B. doi:10.1007/bf01206182. S2CID   189832287.
8. Slade, G. (2006). The lace expansion and its applications. Lecture Notes in Mathematics. Vol. 1879. Springer. ISBN   9783540311898.