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:

70. Exotic Structures on smooth 4-manifolds

69. Small exotic Stein manifolds (with K.Yasui)

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

67. Corks, Plugs and exotic structures (with K.Yasui)

66. The Dolgachev Surface

65. Every 4-Manifold is BLF (with C.Karakurt)

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

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 "Arithmetic and Geometry Around Quantization")

61. Real algebraic structures,
Proceedings 12th Gokova Geom/Top Conference, GGT-IP, 49-58,

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

59. Calibrated manifolds and gauge theory (with S.Salur)
(to appear J. Reine Angew. Math., Crelle's J.)

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 (1993-2005)

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


www.math.msu.edu/~akbulut