Publications

Books

1) (editor) Problem Section, A Crash Course in Kleinian Groups, Springer Lecture Notes in Mathematics, 400(1974), 124-130

2) Topics in the real analytic theory of Teichmuller spaces}, Springer Lecture Notes in Mathematics 820(1980),
reprinted about 1990.

3) The Basic ADAM (with G. Cornell) J. Wiley and Sons, 1984.

4) The Basic Apple IIc (with G. Cornell) J. Wiley and Sons, 1985.

5) Russian translation of the second item, 1986

6) Editor (with J.S. Birman and K. Kuiken) The Mathematical Legacy of Wilhelm Magnus ---
Groups, Geometry and Special Functions, Contemporary Math. 169(1994).

6) Editor (with A. Haas) In the Tradition of Ahlfors and Bers, III, Contemporary Math. 355(2004).
 
 

Book manuscripts

(With tentative titles, printed size and coauthor.)

1) Riemann Surfaces, (with G. Vinel) approx 400 pages.

2) Kleinian Groups, approx 250 pages.
 
 

Articles

1) A control system for quadriplegics (with A. Steinman), Polytechnic Engineer, 1964.

2) Some remarks on Kleinian groups, Advances in theTheory of Riemann surfaces, Annals of
Math Studies 61(1970), 1-7.

3) Residual limit sets of Kleinian groups, Acta Math., 130(1973),  127-144.

4) On the decomposition and deformation of Kleinian groups, Contributions to Analysis, Academic Press,
New York, (1974), 1-10.

5) Constructability and Bers stability of Kleinian groups, Discontinuous Groups and Riemann Surfaces,
Annals of Math. Studies, 79(1974), 3-12.

6) Moduli of Riemann surfaces, A Crash Course in Kleinian Groups, Springer Lecture Notes in
Mathematics, 400(1974) 79-93.

7) On boundaries of Teichmuller spaces and on Kleinian groups, III, Acta Math. 134(1975) 211-237.

8) Augmented Teichmuller space, Bull. Amer. Math. Soc. 82(1976), 333-334.

9) Degenerating families of Riemann surfaces, Ann. of Math. 105(1977), 29-45.

10) Two theorems on totally degenerate Kleinian groups, Amer. J. Math. 98(1977), 109-118.

11) Geometric decompositions of Kleinian groups (withB. Maskit), Amer. J. Math. 99(1977), 687-697.

12) The uniformization theorem, American Mathematics Monthly 38(1981) 574-592.

13) On the boundary behavior of functions in the spherical Dirichlet class, Ill. Math. J. 25(1981) 441-45.

14) A geometric property of Bers embedding of the Teichmuller space, Riemann Surfaces and Related Topics,
Annals of Math. Studies 97(1980), 3-5.

15) Review of 2nd book for Math. Intelligencer,1982.

16) Lifting surface groups to SL(2,C), (with K. Appel and P. Schupp), Springer Lecture Notes in Math. 970(1983) 1-5.

17) The bounded model for hyperbolic 3-space and a quaternionic uniformization theorem, Math. Scand. 54(1984), 5-16.

18) Review of Beardon's "Discrete Groups", Bull. London Math. Soc. 16(1984) 645-647.

19) The Euler characteristic and ample submanifolds of Kleinian manifolds, Proc. Amer. Math. Soc. 97(1986) 593-601.

20) Review of Beardon's "Primer on Riemann Surfaces", Bull. London Math. Soc., 1986.

21) Oswald Teichmuller---The man and his work, Math. Intelligencer 8(1986) 8-16 and 33.

22) On the size of Riemann surfaces, J. d'Analyse Math. 46(1986)  11-12.

23) TeX, Math Intelligencer, 8(1986) 64-77.

24) four lectures on Kleinian groups (notes taken and translated by R.M. Porter) in Conferencias del Taller de Grupos
Kleinianos, Centro de Investigation y de Estudios Avanzados del IPN (1986) 1-82.

25) Kleinian groups, geometrically finite and geometrically perverse, Contemporary Math. 74(1988) 1-50.

26) TeX--The ease and art of text processing, Abacus 5(1988) 10-29.

27) Review of Nag's "The complex analytic theory of Teichmueller spaces," Bull. Amer. Math. Soc. 21(1989) 162-168.

28) (with A. Haas) Nondiscrete groups of hyperbolic motions,  Bull. London Math. Soc. 22(1990) 233-238.

29) Review of R. Penner's "Train Tracks", Bulletin Amer. Math. Soc. 29(1993) 130-135.

30) Remembering Lipman Bers --- main author with C. S. Morawetz, I. Kra, C. Corillon, T. Weinstein, J. Gilman, Notices of the Amer.
Math. Soc. 42(1995) 8-25.

31) Adapted Metrics for Kleinian groups, Abstracts of the Amer. Math. Soc. (1995)

32) Adapted Metrics and Moebius transformations defined over Clifford  Algebras, Contemporary Math. 203(1997) 71-77.

33) (with T. Ye) Computing the Douady-Earle extension of a homeomorphism, Lipa's Legacy, Contemporary Math. 211(1997) 1-8.

34) Reprint of Abikoff's part of (30) as introductory material to Selected Works of Lipman Bers (in both volumes) American Math. Soc., 1998.

35) Quasiconformal conjugations of Moebius transformations, Complex Geometry of Groups, Contemporary Math. 240(1999) 7-11.

36) Finiteness and Rigidity Theorems for Kleinian groups,  Lectures in memory of Lars Ahlfors, Israel Math. Conf. Proceedings 14(2000) 5-30.

37)  Conformal Barycenters and the Douady-Earle Extension --- A Discrete Dynamical Approach,  J. d'Analyse Math. 86(2002) 221-234.

38  (with C. Earle and S. Mitra) Barycentric extensions of monotone maps of the circle,   In the tradition of Ahlfors and Bers, III, Contemporary Math . 355(2004) 1-20.

39) Lipman Bers, article in the Dictionary of Scientific Biography, accepted 2007, to appear ?

40) (with W. Harvey) Extremal Kleinian Groups,Proc. Amer. Math. Soc. 140(2012) 267-278

41) Some Remarks on Singly Degenerate Kleinian Group, Quasiconformal mappings, Riemann surfaces, and Teichm├╝ller spaces, Contemp. Math., 575(2012) 1-12.