B.S., Engineering School of University of Brazil, 1967
M.S., Mathematics, I.M.P.A., Rio de Janeiro, 1968
Ph.D., Mathematics, M.I.T., 1971
National Science Foundation Grants: 1976-77, 1977-78, 1978-80, 1980-82, 1982-83, 1983-85, 1985-87, 1987-89, 1989-92, 1992-95, 1995-98, 1998-02, 2002-05
U.S. - Brazil Cooperative Research N.S.F. Grants: 1985-87, 1987-91, 1991-93
1. Self-Adjointness of the Locally Correct Generators of Lorentz Transformations for P(f) 2, in Mathematics of Contemporary Physics, edited by R.F. Streater, Academic Press, London, 1972, 227-236.
2. Renormalized Products of the Generalized Free Fields and its Derivatives, Pacific Journal of Mathematics 45, (1973), 275-292.
3. Quadratic Expressions of a Free Boson Field, Transactions of the American Mathematical Society 181, (1973), 439-456.
4. An Explicitly Solvable Model in Euclidean Field Theory: The Fixed Source, Zeitschrift fur Wahrscheinlichkeitstheorie 28 (1974), 323-334.
5. (with L. Landau), Singular Perturbations of Positivity Preserving Semigroups via Path Space Techniques, Journal of Functional Analysis 20 (1975), 44-82.
6. (with L. Landau), The :f: field in the P(f) Model, Communications in Mathematical Physics 43 (1975), 143-154.
7. (with L. Landau), "An upper bound on the energy gap in the ( f ) 2 model", Journal of Mathematical Physics 17 (1976), 87-93.
8. (with L. Landau), The : f : Field: Infinite Volume Limit and Bounds on the Physical Mass, Les Methodes Mathematiques de la Theorie Quantique des Champs, Colloques Internationaux du Centre National de la Recherche Scientifique, 248 (1976), Marseille, France, 223-235.
9. A Characterization of Osterwalder-Schrader Path Spaces by the Associated Semigroup, Bulletin of the American Mathematical Society 82 (1976), 762-764.
10 When do Euclidean Fields Exist?, Letters in Mathematical Physics 1 (1976), 131-133.
11 The Semigroup Characterization of Osterwalder-Schrader Path Spaces and the Construction of Euclidean Fields, Journal of Functional Analysis 27 (1978), 277-291.
12. A Generalization of Markov Processes, Annals of Probability 26 (1978), 128-132.
13. Gaussian OS-positive processes, Zeitschrift fur Wahrscheinlichkeitstheorie 40 (1977), 115-124.
14. (with B. Russo), Sharp inequalities for Weyl operators and Heisenberg groups, Mathematische Annalen 235 (1978). 175-194.
15 (with L. Landau), Periodic Gaussian Osterwalder-Schrader Positive Processes and the two-sided Markov Property on the Circle, Pacific Journal of Mathematics 94 (1981), 341-367.
16. with L. Landau), Construction of a Unique Self-adjoint Generator for a Symmetric Local Semigroup, Journal of Functional Analysis 44 (1981), 121-137.
17. (with L. Landau), Stochastic Processes associated with KMS States, Journal of Functional Analysis 42 (1981), 368-428.
18. Stochastic Processes associated with Quantum Systems, in "New Stochastic Methods in Physics", edited by C. DeWitt and K.D. Elworthy, Physics Reports 77 (1981), 329-337.
19. (with L. Landau and D. Shucker), On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions, Journal of Statistical Physics 26 (1981), 505-512.
20. (with L. Landau and D. Shucker), Decoupling Inequalities for Stationary Gaussian Processes, Annals of Probability 10 (1982), 702-708.
21. Processos Estocasticos e Mecanica Quantica, Atas do 4 Simposio Nacional de Probabilidade e Estatistica, I.M.P.A., Rio de Janeiro, 1982, 285-289.
22. (with C.A. Bonato and J.F. Perez), The Mermin-Wagner Phenomenon and Cluster Properties of One-and-Two Dimensional Systems, Journal of Statistical Physics 29 (1982), 159-175.
23. (with R. Carmona), Exponential Moments for Hitting Times of Uniformly Ergodic Markov Processes, Annals of Probability 11 (1983), 648-655.
24. (with L. Landau), From the Euclidean Group to the Poincare Group via Osterwalder-Schrader Positivity, Communications in Mathematical Physics 87 (1983), 469-484.
25. (with J.F. Perez), Supersymmetry and Dimensional Reduction: A non-perturbative proof, Physics Letters 125B (1983), 473-475.
26. The analytic continuation of an Osterwalder-Schrader positive representation of the Euclidean group to a representation of the Poincare group, Lecture Notes in Mathematics 1055, 199--205 (1984).
27. The connection between quantum systems and stochastic processes, Lecture Notes in de Mathematics 1055, (1984) 206-209.
28. Supersimetria e Reducao de Duas Dimensoes, Atas do Decimo Quarto Coloquio Matematica, vol. II, 159-167, I.M.P.A., Rio de janeiro, 1985.
29. (with L. Landau and J.F. Perez), Supersymmetry and the Parisi-Sourlas Dimensional Reduction: A rigorous proof, Communications in Mathematical Physics 94, 459-482 (1984).
30. (with J.F. Perez), On the density of states for random potentials in the presence of a uniform magnetic field, Nuclear Physics B 251 [Field Theory and Statistical Systems 13], 199-211 (1985).
31. Supersymmetry and a Two-Dimensional Reduction in the Theory of Random Phenomena, Lecture Notes in Mathematics 1136, 306-3117 (1985).
32. (with M. Campanino), A Supersymmetric Transfer Matrix and Differentiability of the Density of States in the One-Dimensional Anderson Model, Communications in Mathematical Physics 104, 227-241 (1986).
33. (with F. Martinelli and J.F. Perez) A rigorous replica trick approach to Anderson localization in one dimension, Communications in Mathematical Physics 106, 623-633 (1986).
34. (with R. Carmona and F. Martinelli) Anderson localization for Bernoulli and other singular potentials, Communications in Mathematical Physics 108, 41-66 (1987).
35. (with A. Bovier, M. Campanino and J.F. Perez) Smoothness of the density of states in the Anderson model at high disorder, Communications in Mathematical Physics 114, 439-461 (1988).
36. (with A. Speis) Smoothness of the density of states in the Anderson model on a one-dimensional strip, Annals of Physics 183, 332-398 (1988).
37. (with A. Bovier) Weak disorder expansion of the invariant measure for the one dimensional Anderson model, Journal of Statistical Physics 51, 501-517 (1988).
38. (with A. Speis) Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model, Journal of Functional Analysis 88, 211--227 (1990).
39. (with H. von Dreifus) A new proof of localization in the Anderson tight binding model, Communications in Mathematical Physics 124, 285-299 (1989).
40. (with J. Lacroix and A. Speis) Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions, Journal of Statistical Physics 57, 65--88 (1989).
41. (with J. Lacroix and A. Speis) Localization for the Anderson model on a strip with singular potentials, Journal of Functional Analysis 94, 135-155 (1990).
42. The supersymmetric replica trick and smoothness of the density of states for random Schrodinger operators, Proceedings of Symposia in Pure Mathematics 51, 315-331 (1990).
43. (with M. Campanino) Anomalies in the one-dimensional Anderson model at weak disorder, Communications in Mathematical Physics 130, 444-456 (1990).
44. (with J.F. Perez) Localization in the ground-state of the one dimensional X-Y model with a random transverse field, Communications in Mathematical Physics 128, 99-108 (1990).
45. (with D.H.U. Marchetti and J.F. Perez) Power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas, Journal of Statistical Physics 60, 137-166 (1990).
46. (with M. Campanino) Decay of two-point functions for (d + 1) - dimensional percolation, Ising and Potts models with d - dimensional disorder, Communications in Mathematical Physics 135, 483-497 (1991).
47. (with M. Campanino and J.F. Perez) Localization in the ground state of the Ising model with a random transverse field, Communications in Mathematical Physics 135, 499-515 (1991).
48. (with H. von Dreifus) Localization for random Schrodinger operators with correlated potentials, Communications in Mathematical Physics 140, 133-147 (1991).
49. (with D.H.U. Marchetti) Power law falloff in two-dimensional Coulomb gases at inverse temperature b > 8p, Journal of Statistical Physics 64, 135-162 (1991).
50. (with J.F. Perez) Localization in the ground state of a disordered array of quantum rotators, Communications in Mathematical Physics 147, 241-252 (1992).
51. Existence of the Kosterlitz-Thouless phase for two-dimensional Coulombs gases at inverse temperatures above 8p, Mathematical Physics X, K. Schmudgen, ed., p. 322-327, Springer-Verlag, Berlin Heidelberg 1992.
52. Quantum spin systems in a random environment, Mathematical Physics X, K. Schmudgen, ed., p. 348-354, Springer-Verlag, Berlin Heidelberg 1992.
53. (with V. Acosta) Analyticity of the density of states in the Anderson model on the Bethe lattice, Journal of Statistical Physics 69, 277-305 (1992).
54. Extinction of contact and percolation processes in a random environment , Annals of Probability 22, 1227-1251 (1994)
55. Disordered quantum spin systems, percolation and contact processes, in Phase Transitions: Mathematics, Physics, Biology,..., R. Kotecky, ed., pp. 129-137, World Scientific, Singapore 1993.
56. (with M. Aizenman and C. Newman) Percolation methods for disordered quantum Ising models, in Phase Transitions: Mathematics, Physics, Biology,..., R. Kotecky,ed., pp. 1-26, World Scientific, Singapore 1993.
57. (with S. Jitomirskaya) Ising model in a quasi-periodic transverse field, percolation and contact processes in quasi -periodic environments, Journal of Statistical Physics 73, 319-344 (1993).
58. Multiscale analysis in disordered systems, Probability and Phase Transition, G. Grimmett , ed., pp. 139-152, Kluwer, Dordrecht 1994.
59. Who is afraid of Griffiths' singularities?, in: On Three Levels. Micro, Meso and Macroscopic Approaches in Physics, M. Fannes, C. Maes, and A. Verbeure, eds., pp. 253-258, Plenum Press, New york, London 1994.
60. (with A. Figotin) Localization phenomena in gaps of the spectrum of random lattice operators, Journal of Statistical Physics 75 , 997-1021 (1994).
61. Localization in the Anderson model with long range hopping, Brazilian Journal of Physics 23, 363-371 (1993).
62. (with A. Figotin) Localization of electromagnetic and acoustic waves in random media. Lattice models, Journal of Statistical Physics 76, 985-1003 (1994).
63. (with H. von Dreifus and J. F. Perez) Taming Griffiths' singularities: Infinite differentiability of quenched correlation functions, Communications in Mathematical Physics 170, 21-39 (1995).
64. Absolutely continuous spectrum in the Anderson model on the Bethe lattice, Mathematical Research Letters 1, 399-407 (1994).
65. Extended states in the Anderson model on the Bethe lattice, Advances in Mathematics 133, 163-184 (1998).
66. The Anderson metal-insulator transition on the Bethe lattice, in: XIth International Congress of Mathematical Physics, D. Iagolnitzer, ed., pp. 383-391, International Press, Boston 1995.
67. (with J. F. Perez) Controlling Griffiths' singularities. Annales de l'Institut Henri Poincare 64, 309--323 (1996).
68. Absolutely continuous spectrum in random Schrodinger operators, Proceedings of Symposia in Pure Mathematics 59, 139-147 (1996).
69. Spreading of wave packets in the Anderson model on the Bethe lattice, Communications in Mathematical Physics 177 , 755-773 (1996).
70. (with A. Figotin) Localization of Classical Waves I: Acoustic Waves, Communications in Mathematical Physics 180, 439-482 (1996).
71. (with A. Figotin) Localized Classical Waves Created by Defects, Journal of Statistical Physics 86, 165-177 (1997).
72. (with A. Figotin) Localization of Classical Waves II: Electromagnetic Waves, Communications in Mathematical Physics 184, 411-441 (1997).
73. (with S. Masooman) Taming Griffiths' singularities in long range random Ising models, Communications in Mathematical Physics 189, 497-512 (1997).
74. (with A. Figotin) Midgap Defect Modes in Dielectric and Acoustic Media, SIAM Journal on Applied Mathematics 58, 1748-1773 (1998).
75. (with A. Figotin) Localization of Light in Inhomogeneous Dielectrics, Journal of the Optical Society of America A 15, 1423-1435 (1998) (Feature Issue on Mathematics and Modeling in Modern Optics)
76. Localization of light in randomized periodic media, in Diffuse Waves in Complex Media, J.-P. Fouque, ed., pp. 73-92, Kluwer, The Netherlands, 1999.
77. (with A. Koines and M. Seifert) Generalized eigenfunctions for waves in inhomogeneous media, Journal of Functional Analysis, in press..
78. (with A. Koines) A general framework for localization of classical waves: I. Inhomogeneous media and defect eigenmodes, Mathematical Physics, Analysis and Geometry 4, 97-130 (2001).
79. (with F. Germinet) Bootstrap multiscale analysis and localization in random media, Communications in Mathematical Physics 222, 415-448 (2001)
80. (with F. Germinet) Operator kernel estimates for functions of generalized Schrodinger operators, Proceedings of the American Mathematical Society, to appear.
81. (with F. Germinet) A characterization of the Anderson metal-insulator transport transition, submitted.
Abel Klein's research has been continuously supported by the NSF since 1976. It is presently supported under NSF Grant DMS-0457474.
UNIVERSITY COMMITTEES:
1984-88 School of Physical Sciences Applied Mathematics Committee
1987-88 Faculty Retreat Committee
1988-89 School of Physical Sciences Mathematics Advisory Committee
1988-89 Committee on the Chemistry and Physics of Materials
1990-93 Physical Sciences Steering Committee
1991-93 Academic Senate Representative
1992-93 Faculty Chair, Physical Sciences
1992-94 Committee on Land Use and Environment (CLUE)
1993-96 Committee on Academic Personnel (CAP)
1994-95 Chair, Committee on Academic Personnel (CAP)
1994-95 University Committee on Academic Personnel (UCAP)
1994-95 Academic Senate Executive Committee
1995-96 Joint UCAP-UCPB-UCFW Subcommittee on Equity and Compensation
1997-98 Chair of Review Committee for the Dean of Social Sciences
1997-98 Committee on Faculty Welfare
1998-00 Chair, Council on Rights, Responsabilities and Welfare
2000-01 Chair, Council on Faculty Welfare, Rights and Responsibilities
1998-01 University Committee on Faculty Welfare
1998-01 Academic Senate Cabinet
1999-01 Health Care Facilitator Advisory Board
1999-01 1999-01 UCFW Retirement/Investment Subcommittee
2000-01 Alternate Delegate to the Universitywide Assembly
DEPARTMENTAL COMMITTEES:
1974-75 Ad-hoc group which formed the Mathematics Curriculum Committee
1974-75 Curriculum Committee
1974-75 Committee on Mathematical Courses of other Departments
1975-76 Real Analysis Qualifying Exam Committee
1975-76 Colloquium Chairman
1976-77 Curriculum Committee
1977-78 Graduate Studies Committee, Chairman, Spring 1978
1977-78 Recruiting Committee
1977-78 Chairman Selection Committee
1978-81 Graduate Studies Committee, Chairman
1978-91 Executive Committee
1978-93 Recruiting Committee
1980-91 Colloquium Committee
1981-94 Graduate Studies Committee
1983-90 Colloquium Committee Chairman
1983-89 Recruiting Committee Chairman
1996-99 Department Chair
2000-01 Undergraduate Studies Committee
2000-01 Chair, VAP Selection Committee
2000-01 Chair, Real Analysis Qualifying Examination Committee
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