SELMAN AKBULUT

Education:
B.A. University of California, Berkeley, 1971
Ph.D. University of California, Berkeley, 1975

Positions:
Member, The Institute for Advanced Study, 1975-1976, 1980-1981, 2002, 2004

Assistant Professor, University of Wisconsin, 1976-1978

Assistant Professor, Rutgers University, 1978-1980

Sloan Fellow, 1983-1985

Member, Max-Planck Institute, 1982-1983

Member, M.S.R.I., 1984-1985, 1990-1991

Member, Feza Gursey Institute, 1998 -

Assistant Professor, Michigan State University, 1981-1982

Associate Professor, Michigan State University, 1983-1986

Professor, Michigan State University, 1986 -

Harvard University, Spring 2005


Publications:

74. Twisting 4-manifolds along RP^2

73. Cappell-Shaneson homotopy spheres are standard
(to appear in Ann. of Math.)

72. An infinite family of exotic Dolgachev surfaces without 1- and 3- handles

71. Knotting corks (with K.Yasui)
(to appear in Journal of Topology)

70. Exotic Structures on smooth 4-manifolds
(to appear in Progress in Mathematics, Birkhauser ``Viro volume")

69. Small exotic Stein manifolds (with K.Yasui)
(to appear in Commentarii Mathematici Helvetici)

68. Topology of non-simply connected LCF 4-manifolds (with M.Kalafat)

67. The Dolgachev Surface

66. Corks, Plugs and exotic structures (with K.Yasui)
Jour. of Gokova Geometry Topology, Volume 2 (2008) 40-82.

65. Every 4-Manifold is BLF (with C.Karakurt)
Jour. of Gokova Geometry Topology, Volume 2 (2008) 83-106.

64. Mirror Duality in a Joyce Manifold (with B.Efe and S.Salur)
(to appear in Advances in Math)

63. Deformations in G_2 Manifolds (with S.Salur)
Advances in Math., vol 217, Issue 5 (2008) 2130-2140.

62. Mirror Duality via G2 and Spin(7) Manifolds (with S.Salur)
(to appear in Progress in Mathematics, Birkhauser "Arithmetic and Geometry Around Quantization")

61. Calibrated manifolds and gauge theory (with S.Salur)
Jour. Reine Angew. Math. (Crelle's J.) vol 2008, no. 625 (2008) 187-214.

60. Real algebraic structures,
Proceedings of Gokova Geom-Top Conference GGT, (2005) 49-58,

59. Transcendental submanifolds of RPn (with H.King),
Comm. Math. Helv., 80, (2005), 427-432

58. An involution acting non-trivially on Heegaard-Floer homology (with S.Durusoy),
Fields Institute Communications,vol 47, (2005),1-9

57. Cappell-Shaneson's 4-dimensional s-cobordism,
Geometry-Topology, vol.6, (2002), 425-494

56. Variations on Fintushel-Stern knot surgery
T.J.M. (2001), 81-92

55.On the Topology of Compact Stein Surfaces (with B. Ozbagci),
IMRN, vol 15 (2002), 769-782

54.Lefschetz Fibrations on Compact Stein Surfaces (with B. Ozbagci),
Geometry and Topology, vol.5 (2001) 319-334

53. A Fake Cusp and a Fishtail
Turkish Jour of Math, 23 (1999), no1, 19-31; and
Proc of 6th Gokova Geometry-Topology Conference.

52. Scharlemann's manifold is standard
Ann of Math., 149 (1999) 497-510.

51. Decomposing a 4-manifold
PAMS, vol 127, no 11, Feb (1999) 3413-3419

50. Convex decomposition of 4-manifolds (with R. Matveyev)
IMRN International Math Research Notices, 1998, No.7 371-381

49. Exotic structures and adjunction inequality (with R. Matveyev),
Turkish Journal of Math 21 (1997) 47-53

48. A note on contact structures (with R. Matveyev)
Pac. Jour of Math, vol.182, no.2,(1998) 201-204

47. A note on a Homology Sphere,
PAMS vol 125, no 2 (1997) 625-628

46. Lectures on Seiberg-Witten invariants,
Turkish Journal of Math 20 (1996) 95-118

45. On Universal Relations in Gauge theory,
TAMS, vol 348, no 4 (1996) 1329-1355.

44. Torsion Class and Universal constraint of Donaldson invariants for odd manifolds,
(with Tom Mrowka and Yongbin Ruan), TAMS, vol.347, no 1 (1995), 63-76

43. Torsion in Gauge theory,
Doga Journal of Math 19 (1995), 167-177

42. On algebraic vector bundles (with H.King),
Contemp. Math., no.182 (1995), 155-158

41. An Involution Permuting Floer Homology,
Doga Journal of Math 18 (1994) 16-22.

40. Quotients of Complex Surfaces under Complex Conjugation,
Journal reine angew. Math. 447 (1994), 83-90

39. On algebraic structures on manifolds,
Contemporary Math. volume 155 (1994), 11-17

38. Knots and Exotic Structures on 4-Manifolds,
Jour. of Knot Theory and its Ramifications, vol.2 No. 1 (1993) 1-10

37. Lectures on Algebraic Spaces,
1992 Proceedings of KAIST math. workshop (1993), 1-15

36. Transcendental submanifolds of R^n, (with H. King),
Comm. Math. Helv.68 (1993) 308-318

35. Constructing strange real algebraic sets, (with H.King),
Lecture notes in math (Springer Verlag), no. 1524 (1992), 120-127

34. Rational Structures on 3-manifolds, (with H. King),
Pacific Journ. of Math., vol.150, no.2, (1991), 201-214

33. Algebraicity of Immersions, (with H. King),
Topology, vol. 31, no. 4, (1992), 701-712.

32. On approximating submanifolds by algebraic sets
and a solution to the Nash conjecture, (with H. King),
Invent.Math.107 (1992), 87-98

31. Some new results on the topology of nonsingular algebraic sets,
(with H. King), B.A.M.S. vol. 23, no.2, Oct (1990) 441-446.

30. A solution to a conjecture of Zeeman,
Topology, vol.30, no.3, (1991), 513-515.

29. An exotic 4-manifold,
Journ. of Diff. Geom. 33, (1991), 357-361.

28. A Fake compact contractible 4-manifold,
Journ. of Diff. Geom. 33, (1991), 335-356.

27. All compact manifolds are homeomorphic to totally algebraic real algebraic sets,
(with H. King), Comm. Math. Helv. 66, (1991), 139-149.

26. The topology of resolution towers, (with H. King),
T.A.M.S., vol. 302, no. 2 (1987), 497-521.

25. Constructing a fake 4-manifold by Gluck construction to a standard 4-manifold,
Topology, vol. 27, no. 2 (1988), 239-243.

24. Polynomial equations of immersed surfaces, (with H. King),
Pacific Journ. of Math., vol. 131, no. 2 (1988), 209-217.

23. Introduction to resolution towers, (with H. King),
Geometry and Topology, Marcel Dekker inc., vol. 105, (1987), 1-11.

22. A resolution theorem for homology cycles of real algebraic varieties,
(with H. King), Invent. Math. 79 (1985), 584-601.

21. Submanifolds and homology of nonsingular real algebraic varieties,
(with H. King), Amer. Journ. of Math. (1985), 45-83.

20. The topology of real algebraic sets, (with H. King),
L'Enseignement Math. 29 (1983), 221-261.

19. Topology and real algebraic geometry,
Rocky Mountain Journal of Math. 14 (1983), 907-912.

18. On fake S^3xS^1#S^2xS^2,
Comb. Methods in Topology and Alg. Geom.,
Contemporary Math. 44 (1985).

17. A fake 4-manifold, 4-Manifold Topology,
Contemporary Math. 35 (1984), 75-141.

16. A potential smooth counterexample in dimension 4
to the Poincare conjecture, the Schonflies conjecture,
and the Andrew-Curtis conjecture, (with R. Kirby),
Topology 24, no. 4 (1985), 375-390.

15. All knots are algebraic, (with H. King),
Comm. Math. Helv. 56, Fasc. 3 (1981), 339-351.

14. Branched covers of surfaces in 4-manifolds,
(with R. Kirby), Math. Ann. 252 (1980), 111-131.

13. An exotic involution on S4, (with R. Kirby),
Topology 18 (1979), 75-81.

12. Mazur manifolds, (with R. Kirby),
Mich. Math. J. 26 (1979), 259-284.

11. On representing homology classes of 4-manifolds,
Inventiones Math. 49 (1978), 193-198.

10. A note on homology surgery and the Casson-Gordon invariant,
Math. Proc. Camb. Phil. Soc. 85 (1971), 335-344.

9. On 2-dimensional homology classes of 4-manifolds,
Math. Proc. Camb. Phil. Soc. 82 (1977), 99-106.

8. A topological resolution theorem, (with L. Taylor),
Pub. I.H.E.S., 53 (1981), 163-196.

7. A topological resolution theorem, (with L. Taylor),
B.A.M.S. 2 (1980), 174-176.

6. Real algebraic structures on topological spaces,
(with H. King), Pub I.H.E.S. 53 (1981), 79-162.

5. A topological characterization of real algebraic varieties,
(with H. King), B.A.M.S. 2 (1980), 171-173.

4. A relative Nash theorem, (with H.King),
T.A.M.S. 267, no. 2 (1981), 465-481.

3. The topology of real algebraic sets with isolated singularities,
(with H. King), Ann. of Math. 113 (1981), 425-446.

2. Real algebraic variety structures on P.L. manifolds,
(with H. King), B.A.M.S. 83 (1977), 281-282.

1. Real algebraic equations for a class of P.L. spaces,
Math. Ann. 231 (1977), 19-31.


Books and Lecture Notes:

1. Lectures on topology of real algebraic varieties, (with H. King),
I.A.S. Seminar Notes, I.A.S. preprint.

2. Casson's invariant of oriented homology 3-spheres, (with J. McCarthy),
Annals of Math. Math Notes, no. 36 (1990)

3. Topology of real algebraic sets, (with H. King),
MSRI book series no. 25, Springer-Verlag (1992).

Books Edited:

1. Gokova Geometry-Topology Conferences, TUBITAK / Int Press (1993-Present)

2. Real algebraic geometry and topology, Contemp. Math, 182 (1995)


www.math.msu.edu/~akbulut