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Michael H. Freedman Ph.D.

National Medal of Science - Mathematics and Computer Science 1987

American mathematician. Proof of Poincare Conjecture in dimension four. One of the greatest achievements in mathematics in this century. Fields Medal, 1986.


Generously contributed by Michael H. Freedman.

  1. [Bing 1959] R. H. Bing, "An alternative proof that 3-manifolds can be triangulated", Ann. of Math. .2/ 69 (1959), 37-65. MR 20 #7269 Zbl 0106.16604
  2. [Calegari et al. 2010] D. Calegari, M. H. Freedman, and K. Walker, "Positivity of the universal pairing in 3 dimensions", J. Amer. Math. Soc. 23:1 (2010), 107-188. MR 2011k:57037 Zbl 1201.57024
  3. [Casson 1986] A. J. Casson, "Three lectures on new-infinite constructions in 4-dimensional manifolds", pp. 201-244 in À la recherche de la topologie perdue, Progr. Math. 62, Birkhäuser, Boston, MA, 1986. With an appendix by L. Siebenmann. MR 900253
  4. [Donaldson 1983] S. K. Donaldson, "An application of gauge theory to four-dimensional topology", J. Differential Geom. 18:2 (1983), 279-315. MR 85c:57015 Zbl 0507.57010
  5. [Donaldson 1987] S. K. Donaldson, "Irrationality and the h-cobordism conjecture", J. Differential Geom. 26:1 (1987), 141-168. MR 88j:57035 Zbl 0631.57010
  6. [Freedman 1982] M. H. Freedman, "The topology of four-dimensional manifolds", J. Differential Geom. 17:3 (1982), 357-453. MR 84b:57006 Zbl 0528.570
  7. [Freedman 1998] M. H. Freedman, "P/NP, and the quantum field computer", Proc. Natl. Acad. Sci. USA 95:1 (1998), 98-101. MR 99b:68064 Zbl 0895.68053
  8. [Freedman and Kirby 1978] M. Freedman and R. Kirby, "A geometric proof of Rochlin's theorem", pp. 85-97 in Algebraic and geometric topology (Stanford, CA, 1976), Part 2, Proc. Sympos. Pure Math. XXXII, Amer. Math. Soc., Providence, R.I., 1978. MR 80f:57015 Zbl 0392.57018
  9. [Gompf 1983] R. E. Gompf, "Three exotic R4's and other anomalies", J. Differential Geom. 18:2 (1983), 317-328. MR 85b: 57038 Zbl 0496.57007
  10. [Gompf and Stipsicz 1999] R. E. Gompf and A. I. Stipsicz, 4-manifolds and Kirby calculus, Graduate Studies in Mathematics 20, American Mathematical Society, Providence, RI, 1999. MR 2000h:57038 Zbl 0933.57020
  11. [Hamilton 1976] A. J. S. Hamilton, "The triangulation of 3-manifolds", Quart. J. Math. Oxford Ser. .2/ 27:105 (1976), 63-70. MR 53 #11618 Zbl 0318.57003
  12. [Jaeger et al. 1990] F. Jaeger, D. L. Vertigan, and D. J. A. Welsh, "On the computational complexity of the Jones and Tutte polynomials", Math. Proc. Cambridge Philos. Soc. 108:1 (1990), 35-53. MR 91h:05038 Zbl 0747.57006
  13. [Kirby 1989] R. C. Kirby, The topology of 4-manifolds, Lecture Notes in Mathematics 1374, Springer, Berlin, 1989. MR 90j: 57012 Zbl 0668.57001
  14. [Moise 1952] E. E. Moise, "Affine structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung", Ann. of Math. .2/ 56 (1952), 96-114. MR 14,72d Zbl 0048.17102
  15. [Moore and Read 1991] G. Moore and N. Read, "Nonabelions in the fractional quantum Hall effect", Nuclear Phys. B 360:2-3 (1991), 362-396. MR 92j:81291,
  16. [Scorpan 2005] A. Scorpan, The wild world of 4-manifolds, American Mathematical Society, Providence, RI, 2005. MR 2006h: 57018 Zbl 1075.57001
  17. [Stallings 1962] J. Stallings, "The piecewise-linear structure of Euclidean space", Proc. Cambridge Philos. Soc. 58 (1962), 481-488. MR 26 #6945 Zbl 0107.40203
  18. [Taubes 1987] C. H. Taubes, "Gauge theory on asymptotically periodic 4-manifolds", J. Differential Geom. 25:3 (1987), 363-430. MR 88g:58176 Zbl 0615.57009
  19. [Witten 1989] E. Witten, "Quantum field theory and the Jones polynomial", Comm. Math. Phys. 121:3 (1989), 351-399. MR 90h:57009 Zbl 0667.57005
  20. Works of Mike Freedman Celebratio Mathematica. 1973-2011
  21. Michael Freedman University of California, Santa Barbara. 1997-2008
  22. Michael Freedman Microsoft Research. 1997-2005

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Photo: Courtesy Michael H. Freedman

Name: Michael Hartley Freednam
Birth: 21 April 1951 Los Angeles, CA USA
Institution when prize awarded: University of California, San Diego
Citation: "For his proof of the Poincare Conjecture in dimension four: a topological four-manifold is homeomorphic to S4 [4th power]. It is homotopy equivalent to S4 [4th power], one of the greatest achievements in mathematics in this century." Presented by President Reagan at a White House Ceremony on June 25, 1987.
Field: Mathematics and Computer Science
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