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Michael H. Freedman Ph.D.

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.

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Publications

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