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Prof. Dr. Raymond O. Wells

Distinguished Professor of Mathematics
Focus Area: Mobility - Mathematics & Logistics
Mathematical Sciences
Mailing Address:

Campus Ring 1
28759 Bremen

Telephone: +49 421 200-4321
Fax: +49 421 200-4333
Office: Reimar Lüst Hall, Room 181
Research Interests:

Mathematical physics
Riemannian geometry
Wavelet theory
Mathematical engineering
History of mathematics

Other Information:

Raymond O. WELLS, Jr., received his Ph.D. degree from the Courant Institute of Mathematical Sciences at New York University in 1965 and thereafter had a 35-year career as a mathematics professor at Rice University in Houston. He is the recipient of Fulbright, Guggenheim, and Alexander von Humboldt awards, and is a fellow of the AAAS. In 1970-71 and in 1979-80 he was a Visiting Member at the Institute for Advanced Study in Princeton, and he was a Visiting Professor at Brandeis, Paris, Oxford, Colorado, and Bremen. From 1998 to 2001 Wells was in Bremen working on the creation of International University Bremen. He was Vice-President for External Affairs and Professor of Mathematics at IUB from 2001-2005. In 2005 was appointed Distinguished Professor of Mathematics. He was the President of the Carl-Schurz Deutsch-Amerikanischer Club in Bremen from 2002-2010. He is currently the President of the Jacobs University Foundation of America, based in Boulder, Colorado, and is a Member of the Board of the Jacobs University Alumni & Friends Stiftung GmbH in Bremen, as well as an Associate Member of the Jacobs University Alumni Association Board of Directors. He has published books in the fields of mathematics, physics, mathematical engineering, and mathematical history; and is the author of more than 100 articles in research journals.


Books Edited and Written by Raymond O. Wells, Jr.

  1. (with Resnikoff, H. L., editors) Proceedings of the Conference on Complex Analysis, Rice University, 1967, ) Rice University Studies, 54, No. 4, 1968.
  2. (with Resnikoff, H. L., editors) Proceedings of the Conference on Complex Analysis, Rice University, 1969, Rice University Studies, 56, No. 2, Complex Analysis, 1970.
  3. (with Resnikoff, H. L., editors) Rice University Studies, 59, Nos. 1, 2, Proceedings of the Conference on Complex Analysis, Rice University, March 1972, 1973.
  4. (with Resnikoff, H. L.) Mathematics in Civilization (Preliminary edition 1971), Holt, Rinehart, and Winston, Inc., New York, 372 pp., 1973.
  5. Differential Analysis on Complex Manifolds, Prentice Hall, Inc., Englewood Cliffs, NJ, 252 pp., 1973.
  6. Differential Analysis on Complex Manifolds, (Russian translation by E.M. Chirka), MIR, Moscow, 283 pp., 1976.
  7. Several Complex Variables. (Proc. Sympos. Pure Math., Vol.XXX, Parts 1,2, Williams College, 1975), Amer. Math. Soc., Providence, RI, 1977.
  8. (with Stanton, R. J.) History of Analysis, Rice University Studies, 68, Nos. 2, 3,1978.
  9. Differential Analysis on Complex Manifolds, 2nd Edition, Springer–Verlag, Berlin–Heidelberg, New York, 1980.
  10. Complex Geometry and Mathematical Physics, University of Montreal Press, Montreal, 1982.
  11. (with Resnikoff, H.L.) Mathematik in Wandel der Kulturen, (German ed. of Math. in Civilization, including supplement), Vieweg Verlag, Braunschweig–Wiesbaden, 338 pp., 1983.
  12. (editor of translation from Russian) Monastyrskii, M. I. Riemann, Topology, and Physics, Birkhäuser Boston, Boston, 1985.
  13. (with Chance, Jane, editors) Mapping the Cosmos, Rice University Press, Houston, Texas, 1985.
  14. (with Resnikoff, H.L.) Mathematics in Civilization, (second edition), Dover Books, New York, 1985.
  15. (with Bryant, R.L., Guillemin, V., and Helgason, S., editors) Integral Geometry, Amer. Math. Soc., Providence, RI, 1985.
  16. (with Shnider, S.) Supermanifolds, Super Twistor Spaces and Super Yang–Mills Fields, University of Montreal Press, 1989.
  17. (Editor) The Mathematical Heritage of Hermann Weyl, Amer. Math. Soc., Providence, RI, 1989.
  18. (with Ward, Richard) Twistor Geometry and Field Theory, Cambridge University Press, 1990.
  19. (with Resnikoff, H. L.) Wavelet Analysis: The Scalable Structure of Information, Springer-Verlag, New York, 1998.
  20. (Editor) The founding of International University Bremen: Perspectives for the Twenty-first Century. International University Bremen (note: International University Bremen became Jacobs University Bremen in 2007), Bremen, Germany 2003
  21. Differential Analysis on Complex Manifolds (Third Edition), with new Appendix by Oscar Garcia-Prada, Springer-Verlag, New York, 2008 

Revised 6 October 2010

Articles written by Raymond O. Wells, Jr.

  1. (with Gutzwiller, M. C.) The electronic states around a dislocation, J. Phys. Chem. Solids, 27, 349–352, 1966.
  2. On the local holomorphic hull of a real submanifold in several complex variables, Comm. Pure Appl. Math., 19, 145–165, 1966.
  3. Locally holomorphic sets, J. Analyse Math., 17, 337–345, 1966.
  4. Holomorphic approximation on real–analytic submanifolds of a complex manifold, Proc. Amer. Math. Soc., 17, 1272–1275, 1966.
  5. (with Nirenberg, R.) Holomorphic approximation on real submanifolds of a complex manifold, Bull. Amer. Math. Soc., 73, 378–381, 1967.
  6. Holomorphic hulls and holomorphic convexity of differentiable submanifolds, Trans. Amer. Math. Soc., 132, 245–262, 1968.
  7. Holomorphic hulls and holomorphic convexity, Rice University Studies, 54, No. 4, 75–84, 1968.
  8. (with Harvey, Reese) Compact holomorphically convex subsets of a Stein manifold, Trans. Amer. Math. Soc., 136, 509–516, 1969.
  9. Compact real submanifolds with nondegenerate holomorphic tangent bundles, Math. Ann., 179, 123–129, 1969.
  10. Real–analytic subvarieties and holomorphic approximation, Math. Ann., 179, 130–141, 1969.
  11. (with Nirenberg, R.) Approximation theorems on differentiable submanifolds of a complex manifold, Trans. Amer. Math. Soc., 43, 15–36, 1969.
  12. Concerning the envelope of holomorphy of a compact differentiable sub-manifold of a complex manifold, Annali Scuola. Norm. di Pisa, 23, 347–361, 1969.
  13. (with Bigolin, Bruno) Concerning the refined Chern classes of a holomorphic vector bundle, Ati Accad. Naz. Lincei Rend., 46, 379–384, 1969.
  14. (with Hunt, L. R.) The envelope of holomorphy of a 2–sphere in C2, Rice University Studies, 56, No. 2, 51–62, 1970.
  15. Parametrizing the compact submanifolds of a period matrix domain by a Stein manifold, Lecture Notes in Mathematics, 184, Symposium on Several Complex Variables, Park City, Utah, 1970, Springer–Verlag, Berlin–Heidelberg–New York, 121–150, 1971.
  16. (with Harvey, Reese) Holomorphic approximation on totally real submanifolds of a complex manifold, Bull. Amer. Math. Soc., 77, 824–828, 1971.
  17. (with Harvey, Reese) Holomorphic approximation and hyperfunction theory on a C1 totally real submanifold of a complex manifold, Math. Ann., 197, 287–318, 1972.
  18. (with Harvey, Reese) Zero sets of nonnegative strictly plurisubharmonic functions, Math. Ann., 201, 165–170, 1973.
  19. Automorphic cohomology on homogeneous complex manifolds, Rice University Studies, 59, No. 2, 147–155, 1973.
  20. Function theory on differentiable submanifolds, Contributions to Analysis, Academic Press, Inc., 407–441, 1974.
  21. Moisezon spaces and the Kodaira embedding theorem, Proceedings of the Tulane University Program on Value–Distribution Theory, Part A, Marcel–Dekker Inc., 29–41, 1973.
  22. Comparison of deRham and Dolbeault cohomology for proper surjective mappings, Pac. J. Math., 53, 281–300, 1974.
  23. (with Hunt, L.R.) Holomorphic extension for nongeneric CR–submanifolds, Proceedings of Symposia in Pure Mathematics, 27, Pt. 2, American Math. Soc., Providence, RI, 81–88, 1975.
  24. (with Hunt, L.R.) Extensions of CR–functions, Am. J. of Math., 98, 805–820, 1976.
  25. (with Polking, John) Hyperfunction boundary values and a generalized Bochner–Hartogs' Theorem, Proceedings of Symposia in Pure Mathematics, 30, Pt. 1, Amer. Math. Soc., Providence, RI, 187–194, 1977.
  26. (with Wolf, Joseph A.) Poincaré theta series and L1 cohomology, Proceedings of Symposia in Pure Mathematics, 30, Pt. 2, Amer. Math. Soc., Providence, RI, 55–68, 1977.
  27. Deformations of strongly pseudoconvex domains in C2, Proceedings of Symposia in Pure Mathematics, 30, Pt. 2, Amer. Math. Soc., Providence, RI, 125–128, 1977.
  28. The invariants of E. Cartan–Chern–Moser for a real hypersurface in Cn, Analyse Complex et Geometrie Analytique (1973–75), (ed.: P. Dolbeault), Univ. of Paris VI, Paris, X–1–X.12, 1976.
  29. (with Wolf, Joseph A.) Poincaré series and automorphic cohomology on flag domains, Ann. of Math., 105, 397–448, 1977.
  30. (with Polking, John) Boundary values of Dolbeault cohomology classes and a generalized Bochner–Hartogs' Theorem, Abhand. Math. Sem., Univ. Hamburg, 47, 1–24. 1978.
  31. (with Burns, Daniel, and Snider, Steven) Deformations of strongly pseudoconvex domains, Invent. Math., 46, 237–253, 1978.
  32. Function theory on differentiable submanifolds, Uspehki. Math. Nauk. 33, (Russian translation by G. Henkin), 152–193, 1978.
  33. Deformationes des domaines strictement pseudoconvexes, Lecture Notes in Mathematics, 670, Fonctions de Plusier Variables Complexes III, (ed.: F. Norguet), Springer–Verlag, Berlin–Heidelberg–New York, 404–409, 1978.
  34. Complex manifolds and mathematical physics, Bull. Amer. Math. Soc. (NS), 1, 296–336, 1979.
  35. Cohomology and the Penrose transform, Complex Manifold Techniques in Theoretical Physics, (eds. D. Lerner, P. Sommers), Pitman, London, 92–114, 1979.
  36. Chern retires from Berkeley, almost!, Mathematical Intelligencer, 2, No. 2, 78–80, 1980.
  37. (with Eastwood, Michael and Penrose, Roger) Cohomology and massless fields, Comm. Math. Phys., 78, 305–351, 1981.
  38. Hyperfunctions solutions of the zero–rest–mass field equations, Comm. Math. Phys., 78, 567–600, 1981.
  39. The conformally invariant Laplacian and the Instanton vanishing theorem, Seminar on Differential Geometry, (ed.: S.T. Yau), Princeton Univ. Press, Princeton, NJ, 483–498, 1982.
  40. The Cauchy–Riemann equations and differential geometry, Bull. Amer. Math. Soc., (NS), 6, 187–199, 1982.
  41. The Cauchy–Riemann equations and differential geometry, Proc. of Symposia in Pure Mathematics, 39.1, The Mathematical Heritage of Henri Poincaré, (ed.: F. Browder), Amer. Math. Soc., Providence, RI, 423–435, 1983.
  42. (with Bailey, T. and Ehrenpreis, L.) Weak solutions of the massless field equations, Proc. Roy. Soc. Lond., A 384, 403–425, 1982.
  43. Extensions of holomorphic vector bundles and coupled cohomology equations, Proceedings of Symposia in Pure Mathematics, 41, (ed.: Y. T. Siu), Amer. Math. Soc., Providence, RI, 209–216, 1984.
  44. Nonlinear field equations and twistor theory, Mathematical Intelligencer, 7, No. 2, Springer–Verlag, New York, 26–32, 1985.
  45. The twistor–geometric representation of classical field theories, Lecture Notes in Mathematics, Springer–Verlag, Berlin–Heidelberg–New York, 1985.
  46. Complex manifolds and mathematical physics, Twistor Theory and Its Applications (in Russian), (ed.: V.S. Vladimirov), MIR, Moscow, 28–77, 1983.
  47. (with Eastwood, M.G. and Penrose, Roger) Cohomology theory and massless fields, (in Russian), Twistor Theory and Its Applications (in Russian), (ed.: V.S. Vladimirov), MIR, Moscow, 250–308, 1983.
  48. Hyperfunction solutions of the massless field equations (in Russian), Twistor Theory and Its Applications (in Russian), (ed.: V.S. Vladimirov), MIR, Moscow, 309–348, 1983.
  49. (with Eastwood, M.G. and Pool, R.) The inverse Penrose transform of a solution to the Maxwell–Dirac–Weyl field equations, J. Funct. Anal., 60, No. 1, Academic Press, New York and London, 16–35, 1985.
  50. Geometry and the Universe, Mapping the Cosmos, Rice University Studies, Houston, Texas, 1985.
  51. Twistor geometry and classical field theory (Russian), Uspehki Math. Nauk, 40, No. 4, 1985.
  52. Integral geometry and twistor theory, Contemporary Mathematics, Integral Geometry (Proceedings of Conference, Bowdoin College, 1984), Amer. Math. Soc., Providence, RI, 1985.
  53. (with Haske, Carl) Serre duality for complex supermanifolds, Duke Math. J., 54, No. 2, 1987.
  54. "A critique of ICME-6", American Perspectives in the Sixth International Congress on Mathematical Education, National Council of Teachers of Mathematics, p. 56, 1989.
  55. (with LeBrun, Claude and Poon, Y.S.) "Projective embeddings of complex supermanifolds," Commun. Math. Physics, 126, 433-452, 1990.
  56. (with Austin, J. D. and Herbert, Elizabeth) Master teachers as teacher role models, Mathematics and Education Reform, Amer. Math. Soc., 189-196, 1990.
  57. Supermanifolds, Twistor Geometry, and Wavelets, Proceedings of Summer School, Physics and Geometry, Lake Tahoe, CA., 1989.
  58. Projective embeddings of complex supermanifolds, Proceedings of Conference, Differential Geometric Methods in Physics -- Physics and Geometry, (Ed: L.L. Chau and W. Nahm), Plenum, 669-680, 1990.
  59. Parametrizing smooth compactly supported wavelets, Trans. AMS, 338, No. 2, 919-931, 1993.
  60. (with Resnikoff, Howard L.) Wavelet Analysis and the Geometry of Euclidean Domains, Journal of Geometry and Physics (Penrose Festschrift) (8) 1-4, 273-282, 1992.
  61. (with Glowinski, R., Periaux, J., Ravachol, M., Pan, T.W., and Zhou, X.) Wavelet Methods in Computational Fluid Dynamics, in Hussainy et al. (ed.), Algorithmic Trends in Computational Fluid Dynamics, Springer-Verlag, 259-276, 1993.
  62. (with Zhou, X.) Wavelet Interpolation and Approximate Solutions of Elliptic Partial Differential Equations, in Noncompact Lie Groups and Some of their Applications (R. Wilson and E. A. Tanner, editors), Kluwer Acad. Press, pp. 349-366, 1994.
  63. (with Zhou, X.) Wavelet Solutions for the Dirichlet Problem. Numer. Mathematik, 70, 379-396, 1995.
  64. (with McCormick, Kent ) Wavelet Calculus and Finite Difference Operators. Mathematics of Computation, Vol 63, No. 207, pp. 155-173, 1994
  65. (with Zhou, Xiaodong) Representing the geometry of domains by wavelets with applications to partial differential equations, Curves and Surfaces in Computer Vision and Graphics III, International Society for Optical Engineering, 1992.
  66. (with P. Heller, and H. L. Resnikoff), Wavelet matrices and the representation of discrete functions, (Ed: C. K. Chui), Wavelets--A Tutorial in Theory and Applications, Academic Press, 15-50, 1992.
  67. (with Glowinski, R., Pan, T.W., and Zhou, X.) Wavelet Solutions for the Neumann Problem, J. Comp. Physics Vol 126, pp. 40-51, 1996.
  68. (with Glowinski, R., Rieder, A., and Zhou, X.) A preconditioned CG-method for wavelet-Galerkin discretizations of elliptic problems. Z. Angew. Math. Mech. 75, 683-684, 1995.
  69. (with Glowinski, R., Rieder, A., and Zhou, X.) A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains, Mod'elisation Math'ematique et Analyse Num'erique, 1996.
  70. (with Rieder, A., and Zhou, X.) A wavelet approach to robust multilevel solvers for anisotropic elliptic problems. Applied and Computational Harmonic Analysis, 1,pp. 355-367, 1994.
  71. (with Heller, P.) The spectral theory of multiresolution operators and applications, in Wavelets: Theory, Algorithms, and Applications, (Edited by C. K. Chui, L. Montefusco, L. Puccio), Academic Press, pp. 13-31, 1994.
  72. Wavelets and Wave Propagation Modeling. Proceedings of SPIE OE/Aerospace Sensing Conference, Orlando, 1994. Proc SPIE 2242, 88-99, 1994.
  73. Adaptive wave propogation modeling, Optical Engineering, Vol 33, No. 7, 2224, 1994.
  74. Multiscale applications of wavelets to solutions of partial differential equations, Proceedings of the Lanczos Conference, Raleigh, NC, (1993), 1994.
  75. (with A. Rieder and X. Zhou), On the wavelet frequency decomposition method. Wavelet Applications, Harold H. Szu (ed.), Proc SPIE 2242, 14-18,1994.
  76. Recent advances in wavelet technology, Proceedings of Dual-Use Technology Conference, 1994. NASA Conference Publication 3263, Vol 2, 625-632, 1994.
  77. (with H. Bray, K. McCormick, and X. Zhou), Wavelet variations of the Shannon sampling theorem , Bio Systems, Vol 34, Nos.1-4, pp.249-257, 1994.
  78. (with P. N. Heller and J. Shapiro), Image compression using optimal wavelet basis, Wavelet Applications for Dual-Use, SPIE Proceedings, Vol 2491, 119-130, 1995.
  79. (with J. E. Odegard, H. Guo, M. Lang, C. S. Burrus, L.. M. Novak, M. Hiett), Wavelet-based SAR speckle reduction and image compression, Algorithms for Synthetic Aperture Radar Imagery II, Proceedings of SPIE, Vol 2487, 259-271, 1995.
  80. (with M. Lang, H. Guo, J. E. Odegard, C. S. Burrus, Nonlinear processing of a shift-invariant DWT for noise reduction, Wavelet Applications for Dual-Use, SPIE Proceedings, Vol 2491, 1995.
  81. (with Jun Tian), Vanishing moments and biorthogonal wavelet systems, in Mathematics in Signal Processing IV, J. G. McWhirter, Editor, Oxford University Press, 1997.
  82. (with J. Tian), Image data processing in the compressed wavelet domain, in Proc of 3rd International Conference on Signal Processing, B. Yuan, X. Tang, Editors, 978-981, Beijing, China, IEEE Press, 1996.
  83. (with M. Lang, H. Guo, J. E. Odegard, C. S. Burrus), Noise reduction using an undecimated discrete wavelet transform, IEEE Signal Processing Letters, Vol. 3, No.1, 10-12, 1996.
  84. (with Dong Wei, Jun Tian and C. S. Burrus), A new class of biorthogonal wavelets for signal processing, IEEE Transactions on Image Processing, (to appear), 1998.
  85. (with Jun Tian), A lossy image codec based on index coding, Proceedings of IEEE Data Compression Conference, Utah, IEEE Computer Society Press, p.456, 1996.
  86. (with Jun Tian, H. Guo, C. S. Burrus, and J. E. Odegard, Evaluation of a new wavelet-based compression algorithm for synthetic aperture radar images. In Algorithms for Synthetic Aperture Radar Imagery III, E. G. Zelnio, R. J. Douglass, Editors, Proc. SPIE 2557, 421-430, Orlando, FL, 1996.
  87. (with T. Netsch, Jun Tian, M. Lang, C. Evertsz, H. Juergens, and H.-O Peitgen), Automatic detection of microcalcification clusters on compressed digitized mammograms, Medical Physics (to appear), 1998.
  88. (with Anne Papakonstantinou, Joe Austin and Scott Berger), Rice University Affiliates Program: the Marshall Plan, Schools in the Middle: Theory into Practice (National Assn. of Secondary School Principals), 1996.
  89. (with Jun Tian), A remark on vanishing moments, in Proc. Of 30th Asilomar Conference on signals, Systems, and computers, A. Singh, Editor, 983-987, Pacific Grove, CA, IEEE Computer Society Press, 1996.
  90. (with J. Ko, A. J. Kurdila, and X. Zhou, On the Stability of Numerical Boundary Measures in Wavelet Galerkin Methods,' Communications in Numerical Methods in Engineering, 12, 281-294,1996.
  91. (with J. Tian, J. E. Odegard, and C. S. Burrus), Coifman wavelet systems: approximation, smoothness, and computational algorithms, Computational Science for the 21st Century, John Wiley & Sons Ltd., 831-840, 1997.
  92. (with K. Berkner), ), A fast approximation to the continuous wavelet transform with, Proc. Of 31th Asilomar Conference on signals, systems, and computers, Pacific Grove, CA 1997.
  93. (with Jun Tian), Embedded Image Coding Using Wavelet Difference Reduction" to appear in Wavelet Image and Video Compression, P. Topiwala, Editor, Kluwer Academic Publishers, Norwell, MA, pp. 289-301, 1998.
  94. (with Jun Tian), L2 Convergence of Biorthogonal Coifman Wavelet Systems, in Approximation Theory IX, C. K Chui, and L. L. Schumaker, Editors, Vanderbilt Univ. Press, Nashville, TN, 327-335, 1998.
  95. (with J. Tian), An algebraic structure of orthogonal wavelet space, (submitted to Applied and Computational Harmonic Analysis), 1997
  96. (with K. Berkner), A new hierarchical scheme for approximating the continuous wavelet transform with applications to edge detection, (submitted to IEEE Signal Processing Letters, July 1997).
  97. (with J. Tian), A fast implementation of the wavelet transform for m-band filter banks, Wavelet Applications V, H. H. Szu, Editor, Proc. SPIE 3391, pp. 534-545, 1998
  98. (with K. Berkner), Smoothness estimates for soft-thresholding denoising via translation-invariant wavelet transforms (submitted to Applied and Computational Harmonic Analysis), 1998.
  99. Neue Rechtsformen als Finanzierungsherausforderung. In: Kämmerer, J.A., Rawert, P. (Editors), Hochschulstandort Deutschland : rechtlicher Rahmen - politische Herausforderungen, Heymanns Verlag, Cologne, 2002, pp.157-165.
  100.  Akademische Kooperation zwischen Bremen und den Vereinigten Staaten von Amerika,

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     In: Lars U. Scholl (Editor): Bremen und Amerika. Die Verbindungen der Hansestadt mit den Vereinigten Staaten (= Jahrbuch der Wittheit zu Bremen 2008/2009), Bremen 2010, pp. 183-190.


Revised 6 October 2010