VITA 3/16/05 DANIEL HENRY GOTTLIEB EDUCATION B.S. University of California, LA 1959 M.S. University of California, LA 1961 Ph.D. University of California, LA 1962 PROFESSIONAL EXPERIENCE Instructor University of Illinois 1962-64 Mathematician Institute for Defense Analysis 1964-67 Associate Professor Purdue University 1967-74 Visiting Professor Cambridge University 1973-74 Professor Purdue University 1974- Visiting Professor Tel Aviv University 1974 Visiting Professor University of California, LA 1980 Visiting Professor Bonn, Sonderforschungsbereich 1981 Visiting Professor I.H.E.S. 1987-88 Visiting Professor University of California at Berkeley 1994-95 Member Newton Institute, Cambridge November 1994 Member IPAM at UCLA, Los Angeles Fall 2001 Visiting Professor University of California at Los Angeles 2001-2002 Partial retirement UCLA in Spring PROFESSIONAL SOCIETIES AND HONORS AMS MAA NDEA Fellow 1959-62 RESEARCH INTERESTS Algebraic topology Topology Robotics Relativity and Mathematical Physics History of Mathematics VITA Birthdate: December 7, 1937 Birthplace: Hollywood, California Marital Status Married, Judith E. Schaper Children: Alexander David, Jacob Samuel Citizenship: USA PUBLICATIONS l. Homotopy and isotopy properties of topological spaces. Canadian J. Math. 16 (1964), 561-571. 2. (with N. J. Rothman) Contractibility of certain semigroups. Bull. Amer. Math. Soc. 70 (1964), 756-757. 3. A new invariant of homotopy type and some diverse applications. Bull. Amer. Math. Soc. 71 (1965), 517-518. 4. A certain subgroup of the fundamental group. Amer. J. Math. 87 (1965), 840-856. 5. A certain class of incidence matrices. Proc. Amer. Math. Soc. 17 (1966), 1233-1237. 6. On fibre spaces and the evaluation map. Annals of Math. 87 (1968), 42-55. 7. Covering transformations and universal fibrations. Ill. J. Math. 13 (1969), 432-438. 8. Evaluation subgroups of homotopy groups. Amer. J. Math. 91 (1969), 729-756). 9. Correction to my paper "On fibre spaces and the evaluation map," Annals of Math. 91 (1970), 640-642. 10. On the construction of G-spaces and applications to homogeneous spaces. Cambridge Phil. Soc. 68 (1970), 321-327. 11. The evaluation map and homology. Mich. Math. J. 19 (1972), 189-197. 12. Applications of bundle map theory. Trans. Amer. Math. Soc. 171 (1972), 23-50. 13. Homology tangent bundles and universal bundles. Proc. Amer. Math. Soc. 36 (1972), 246-252. 14. Witnesses, transgression, and the evaluation map. Indiana Math. J. 24 (1975), 825-836. 15. The total space of universal fibrations. Pacific J. Math. 46 (1973), 415-417. 16. (with J. C. Becker) Coverings of fibrations. Compositio Mathematica 26 (1973), 119-128. 17. Fibre bundles and the Euler characteristic. J. Differential Geometry 10 (1975), 39-48. 18. (with J. C. Becker) The transfer maps and fibre bundles. Topology 14 (1975), 1-12. 19. (with J. C. Becker) Applications of the evaluation map and transfer map theorems. Math. Ann. 211 (1974), 277-288. PUBLICATIONS (CONT.) 20. (with Andrew Casson) Fibrations with compact fibres. Amer. J. Math. 99 (1977), 159-189. 21. (with J. C. Becker and Andrew Casson) The Lefschetz number and fibre preserving maps. Bull. Amer. Math. Soc. 81 (1975), 425-427. 22. (with J. C. Becker) Transfer for fibrations and duality. Compositio Mathematica 33 (1976), 107-133. 23. Fibre bundles with cross-sections and non-collapsing spectral sequences. Ill. J. Math. 21 (1977), 176-177. 24. Fibering suspensions. Houston J. of Math. 4 (1978), 49-65. 25. Partial Transfers, Geometric Applications of Homotopy Theory I. (1977) Lecture notes in Mathematics, #657, Springer Verlag, 255-266. 26. Lifting actions in fibrations. Ibid, pp. 217-254. 27. Poincare Duality and fibrations. Proceedings of the American Mathematical Society 76 (1979), 148-150. 28. The Lefschetz number and Borsuk Ulam Theorems. Pac. Journal 103 (1982), 29-37. 29. Transfers, centers, and group cohomology. Proc. A.M.S. 40 (1983), 157-162. 30. (with K. B. Lee and M. Ozaydin) Compact group actions and maps into K(º,1)-spaces. Trans. of A.M.S. 287 (1985), 419-429. 31. The trace of an action and the degree of a map. Trans. of A.M.S. 293 (1986), 381-410. 32. On realizing Nakaoka's coincidence point transfer as an S-map. Illinois J. of Math. 30 (1986), 689-695. 33. Robots and fibre bundles. Bulletin de la Societe Mathematique de Belgique, 38 (1988), 219-223. 34. Robots and Topology, Proceedings 1986 IEEE International Conference on robotics and Automation, Volume 3, pp. 1689-1691. 35. Topology and the Robot Arm. Acta Applicandae Mathematicae 11 (1988), 117-121. 36. A de Moivre formula for fixed Point Theory, ATAS do 5∞ Encontro Brasiliero de Topologia. Universidade de Sao Paulo, Sao Carlos, S.P. Brasil 31 (1988), 59-67. 37. A de Moivre like formula for fixed point theory. Proceedings of the Fixed Point Theory Seminar at the 1986 International Congress of Mathematicians, R.F. Brown (editor), Contemporary Mathematics, Vol. 72, 99-106, AMS Providence, Rhode Island. 38. On the index of pullback vector fields. Proc. of the 2nd Siegen Topology Symposium, August 1987, Ulrich Koschorke (editor), Lecture Notes of Mathematics, Vol. 1350, 167-170, Springer Verlag, New York City, NY. PUBLICATIONS (CONT.) 39. Splitting off tori and the evaluation subgroup of the fundamental group. Israel J. of Math., 66 (1988), 216-222. 40. Zeroes of pullback vector fields and fixed point theory for bodies. Algebraic Topology, Proc. of Intl. Conf. March 21-24, 1988, Contemporary Mathematics, 96, 163-180. 41. (with Giora Dula) Splitting off H-spaces and Conner-Raymond Splitting Theorem. J. Fac. Sci. Univ. Tokyo, Sec IA, 37 (1990), 321-334. 42. (with J.C. Becker) Vector fields and transfers. Manuscripta Mathematica, 72 (1991), 111-130. 43. Lectures on Vector Fields and the Unity of Mathematics. Proceedings of the Topology and Geometry Research Center, ed. Jin Suk Pak and Chan-Young, 3 (1993), 87-114. 44. (with Murad Ozaydin) Intersection Numbers, Transfers, and Group Actions. Topology and its Applications, 55 (1994), 87-100. 45. (with Murad Ozaydin) Group Actions and the Singular Set. Topology and its Applications, 52 (1993), 51-59. 46. Vector Fields and Classical Theorems of Topology. Rendiconti del Seminario Matematico e Fisico, Milano, 60 (1990), 193-203. 47. (with Geetha Samaranayake) The Index of Discontinuous Vector Fields. New York Journal of Mathematics, 1 (1994-95), 130-148. 48. A Gravitational Lens Need Not Produce an Odd Number of Images. J. Mathematical Physics, 35 (1994), 5507-5510. 49. The Odd Image Theorem, Proceedings of the 7th Marcel Grossman Relativity Conference on Relativity, Stanford, July 1994, Part B; ed. R. T. Jantzen and G. Mac Keiser: World Scientific, New Jersey; 1141-1143. 50. All the Way with Gauss-Bonnet and the Sociology of Mathematics. American Mathematical Monthly, 103 (1996), 457-469. 51. Skew Symmetric Bundle Maps. Contemporary Mathematics, 220 (1998), 117-141. 52. (with James C. Becker) Spaces of Local Vector Fields. Proceedings of the Vassar Conference Honoring Stasheff's 60th birthday, January 20, 1997, Comtemporary Mathematics, 227 (1999), 21-28. 53. (with James C. Becker) A History of Duality in Algebraic Topology. Chapter 25 of History of Topology, I. M. James, ed., Elsevier, Amsterdam, 1999, 725-745. 54. Becker-Gottlieb Transfer, Encyclopedia of Mathematics suppliment, Volume I, Ed. in chief M. Hasewinkel, Kluwer Acad. Publishers, (1997), 89-90. 55. Book review of "Poincare and the Three Body Problem" by June Barrow-Green. The American Mathematical Monthly, 106 (1999), 977-980. PUBLICATIONS (CONT.) 56. The Sullivan conjecture. Encyclopedia of Mathematics Supp., vol.-2., Ed. in chief M. Hasewinkel, Kluwer Acad. Publishers, (2000), 440-441. 57. Topology and the Non-existence of Magnetic Monopoles, CUBO Matematica Educacional, Vol. 2 (May 2000), 101-121. 58. Fields of Lorentz transformations on Space-Time. Fixed Point Conference, Sao Paulo (1999), Topology and its Applications, 116, (2001), 102-122. 59. Eigenbundles, Quaternions, and Berry's Phase. Preprint: math.AT/0304281 60. Transfers and Periodic Orbits of Homeomorphisms.Preprint math-AT 0408403 61. Maxwell's Equations, Preprint:arXiv math-ph 040100162. 62.(with Chen-Farng Benjamin) Fixed point indices and manifolds with collars (to appear in Fixed Point Theory and Applications) INVITED ADDRESSES 1. July 1973. University of California at Santa Barbara, Topology Conference. The transfer for fibre bundles. 2. October 1973. Cambridge University, Topology Seminar, The transfer and the evaluation map. 3. October 1973. Oxford University, Topology Seminar. The transfer for fibre bundles. 4. March 1974. University of Manchester, Colloquium. The transfer for fibrations for homotopy theorists. 5. March 1974. University of Warwick, Colloquium. The fibration transfer for differential topologists. 6. March 1974. University of Paris (Orsay), Larry Siebenmann's Seminar. The transfer for fibrations. 7. June, 1974. Tel Aviv University, Israel Mathematical Union. An application of topology to group theory. 8. August 1974. University of British Columbia, J. F. Adams Topology Seminar at the International Congress of Mathematicians. The transfer for group theory. 9. March 1975. Rutgers University, Colloquium. Transfers and group theory. 10. March 1975. Rutgers University, Topology Seminar. Transfers and transgressons. 11. August 1975. Second Annual Topology Mini-Conference, Ohio State University. On the Wang exact sequence. 12. May 1, 1976. Midwest Topology Seminar. Applications of the Wang exact sequence. 13. February 1976. Indiana Topology Seminar. Fibering suspensions. 14. September 1976. Indiana Topology Seminar. Lifting group actions. 15. March 1977. Rutgers Topology Seminar. Lifting group actions. 16. April 1977. Northwestern Topology Conference. Partial transfers. INVITED ADDRESSES (CONT.) 17. September 1977. Oberwolfach Fixed Point Conference. Neilsen-Wecken theory and Cyclic homotopies. 18. February 1978. Topology Seminar Rutgers University. Lefschetz numbers and the evaluation map. 19. February 1978. University of Mass. Colloquium. Lifting group actions. 20. March 1978. Univ. of Illinois colloquium. Transfer and evaluation maps in Topology. 21. April 1978. Notre Dame U. Colloquium. Transfer and evaluation maps in Topology. 22. June, 1978. Canadian Summer School at Waterloo Univ. Lefshetz numbers and free actions. 23. July 1978. Cambridge Univ. Topology Seminar. Borsuk Ulam type theorems. Seminar. Borsuk Ulam type theorems. 24. October 1978. Florida State Topology Seminar. Borsuk Ulam type theorems. 25. November 1978. Memorial University of Newfoundland Colloquium. Lifting of group actions. 26. April 1980. University of Minnesota, Colloquium. The transfer and algebraic topology. 27. October 8, 1980. U.C.L.A. Topology Seminar. Lefschetz numbers and free actions. 28. October 21, 1980. Southern California Topology Seminar. The transfer and coincidence numbers. 29. January 30, 1981. Bonn Topology Seminar. Fibering suspensions and the evaluation map. 30. February 12, 1981. Gottingen Colloquium. Transfers and the Borsuk-Ulam theorem. 31. April 30, 1981. Bonn University Oberseminar. The transfer homomorphism and the evaluation map. 32. May 6, 1981. Swiss Topology Conference. Lusanne. The Umkehr map and fibrations. 33. June 4, 1981. Topology Seminar of Heidelberg. The Umkehr map and fibrations. 34. May 1982. Midwest Topology Seminar. Notre Dame. An improvement of the transfer for fibre bundles. 35. June 1982. Rational Homotopy Conference. Marseille, France. Localizing transfers. INVITED ADDRESSES (CONT.) 36. May 28, 1983. Topology Seminar. Peking University. The trace of an action and the degree of a map. 37. May 28, 1983. Peking Univeristy Colloquium. Report on M. Freedman's work on 4-dimensional manifolds. 38. June 24, 1983. Topology Seminar. Osaka City Univeristy. The trace of an action and the degree of a map. 39. June 25, 1983. Colloquium. Osaka University. The trace of an action and the degree of a map. 40. June 27, 1983. Colloquium. Kyoto University. The trace of an action and the degree of a map. 41. January 1984. U.C.L.A. Topology Seminar. The trace of an action and the degree of a map. 42. April 1984. I.U.P.U.I. Colloquium. The trace of an action and the degree of a map. 43. May 1984. Workshop on Group Actions. Princeton University. The trace of an action and the degree of a map. 44. May 1984. Boston Topology Seminar M.I.T. The trace of an action and the degree of a map. 45. May 1984. Topology Seminar (2 lectures). Pontifica Universidade Catolica de Rio de Janiero. The trace of an action and the degree of a map. 46. June 1984. Topology Seminar. S„o Paulo University. The Trace of an action and the degree of a map. 47. July 1984. AMS Conference at Bowdoin, Maine on Group Cohomology. The transfer and Group Cohomology. 48. July 1984. Conference on Homotopy Theory. Minnesota Math. Institute. The trace of an action and the degree of a map. 49. October 3-4, 1984. J. Clarence Karcher Lecturer, University of Oklahoma. Trace of an action, and In search of the best transfer. 50. April 1985. Topology Seminar, University of Wisconsin. Robots and fibre bundles. 51. June 1985. Singapore Topology Conference. Robots and fibre bundles. 52. October 25, 1985. Colloquium, Cleveland State University. Robots and fibre bundles. 53. March 10, 1986. Colloquium, University of Vermont. Topology and applied mathematics. INVITED ADDRESSES (CONT.) 54. April 10, 1986. I.E.E.E. Robotics Convention, San Francisco. Topology and Robots. 55. June 2, 1986. Colloquium, University of Sao Paulo at Sao Carlos. Degree of a map. 56. June 18, 1986. Colloquium, University of Sao Paulo. Robots and Topology. 57. July 7, 1986. Inaugural Address, 5th Brazilian topology Conference, Sao Carlos, Brazil. A De Moivre formula for fixed point theory. 58. July 17, 1986. Colloquium, Campenas University. Robots and topology. 59. July 27, 1986. Colloquium, University Federal de Sao Carlos. On the index formula. 60. August 5, 1986. Fixed Point Session at the International Congress of Mathematicians. A de Moivre's formula for fixed point theory. 61. January, 1987. Robots and Topology, hour address AMS-MAA meeting at San Antonio. 62. June 3, 1987. Topology Seminar UCLA. A fixed formula. 63. July 27, 1987. Siegen Topology Conference. Vector field indicies, coincidence numbers, and normal maps. 64. October 19, 1987. Oxford Topology Seminar. Vector fields. 65. October 22, 1987. Warwick Colloquium. Vector fields. 66. October 23, 1987. University of Wales Colloquium. Topology and robots. 67. October 26, 1987. University of Liverpool Colloquium. Vector fields. 68. October 27, 1987. University of Manchester Topology Seminar. Vector fields. 69. October 28, 1987. London Topology Seminar. Vector fields. 70. October 30, 1987. Cambridge Topology Seminar. Vector fields. 71. November 10, 1987. Paris Topology Seminar. Vector fields. 72. November 19, 1987. University of Nantes Colloquium. Vector fields and fixed points for bodies. 73. December 10, 1987. Heidelberg Topology Seminar. Vector fields. 74. December 11, 1987. Heidelberg Colloquium. Topology and robots. 75. January 15, 1988. Lille Topology Seminar. Toral splittings and the evaluation subgroup. INVITED ADDRESSES (CONT.) 76. May 29, 1988. Scottish Topology Seminar. Vector fields. 77. November 19, 1988. Eastern Pennsylvania and Delaware MAA Sectional Meeting. Topology and robots. 78. February 15-17, 1989. Clarence J. Karcher Lecturer, Univ. of Oklahoma, Vector field law I, II. Splitting Tori off of spaces. 79. October 28, 1989. Indiana MAA Sectional Meeting. Topology and Robots. 80. May 31, 1990. OberSeminar Heidelberg. The Law of Vector Fields and the Gauss-Bonnet Theorem. 81. July 6, 1990. Colloquium, University of Konstantz: The Law of Vector Fields and the Gauss-Bonnet Theorem. 82. August 16, 1990. Hawaii Topology Conference. Miracles and the Law of Vector Fields. 83. April 18, 1991. Ohio State University Topology Seminar. The Law of Vector Fields. 84. May 30, 1991. University of Milano, Colloquium. Robots and Topology. 85. June 3 1991. University of Milano Topology Seminar. Intersection Numbers, Transfers, and Group Actions. 86. June 3, 1991. University of Milano, Seminar. Discreteness and Continuity: Vector Fields and Their Zeros. 87. June 14, 1991. Univerity of Trieste Colloquium. Topology and the Robot Arm. 88. June 19, 1991. University of Napoli Seminar. Discreteness and Continuity in Mathematics: Zeros of Vector Fields. 89. June 20, 1991. University of Salerno, Seminar. Topology and the Robot Arm. 90. June 21, 1991. University of Roma, Seminar. Topology and the Robot Arm. 91. June 26, 1991. University of Torino, Seminar. Topology and the Robot Arm. 92. June 28, 1991. University of Milano, Special Conference Lecture. Vector Fields and the Classical Theorems of Topology. 93. August 12, 1991. University of Oklahoma, J. Clarence Karcher Lecture. Intersection Numbers, Transfers, and Group Actions. 94. March 4, 1992. UCLA, Topology Seminar. Topological Particles and Radiation. 95. June 15, 1992. Korea University, Informal Seminar. Splitting of Tori, 1hr 30 minutes. INVITED ADDRESSES (CONT.) 96. June 16, 1992. Korea University, Informal Seminar. Vector Fields and the Evaluation Subgroup. 97. June 17, 1992. KAISTR, Teajon, Colloquium. Robots and Topology. 98. June 18, 1992. Hannam University, Teajon, Colloquium. Vector Fields and Topology. 99. June 19, 1992. Seoul National University, Seminar. Vector Fields and Topology. 100. June 23, 1992. Seoul National University, Seminar. Classical Invariants of Homotopy Theory. 101. June 24, 1992. Seoul National University, Seminar. Classical Invariants of Algebraic Topology. 102. July 6, 7, 8, 1992. Kyungpook University, Teagu, Korean Topology and Geometry Conference. Vector Fields and the Unity of Mathematics. 103. July 9, 1992. Keimyung University, Teagu, Colloquium. Robots and Topology. 104. November 7, 1992. Midwest Relativity Conference, University of Chicago. Topology and the Non-Existence of Magnetic Monopoles, 15 minutes. 105. July 8, 1994. Middle East Tech. Colloquium. Gauss-Bonnet: From Thales till Today. 106. June 9, 1994. Topology and Geometry Conference. Lehigh University, 40 minutes. 107. July 25, 1994. 7th Grossman Conference. Stanford University, 20 minutes. 108. November 23, 1994. Newton Institute Colloquium. Topology and Topological Defects, 1 hour. 109. February 12, 1997. Geometry, Algebra, and Singularities Seminar. Northeastern University. Skew-Symmetric Bundle Maps and Electromagnetism, 1 hour. 110. February 12, 1996 Topology Seminar. M.I.T. What Does the Index of a Vector Field Classify?, 1 hour. 111. February 14, 1996. Basic Notions Seminar. Northeastern University. All the Way with Gauss-Bonnet and the Sociology of Mathematics, 1 hour. 112. May 14, 1996. Seoul National University. All the Way with Gauss-Bonnet and the Sociology of Mathematics. 113. May 14, 1996. Seoul National University. Skew Symmetric Maps and Electromagnetism. 114. May 15, 1996. Iwha Women's University. Skew Symmetric Maps and Electro-Magnetism. INVITED ADDRESSES (CONT.) 115. May 15, 1996. Yongsei University. Skew Symmetric Maps and Electromagnetism. 116. May 16, 1996. Seo Gang University. The History of Mathematics from the Topological Point of View. 117. May 17, 1996. Korea University. The History of Mathematics from the Topological Point of View. 118. May 20, 1996. Pusan University. All the Way with Gauss-Bonnet and the Sociology of Mathematics. 119. May 21, 1996. Inje University. All the Way with Gauss-Bonnet and the Sociology of Mathematics. 120. May 21, 1996. KAIST in Teajon. On the Index of Vector Fields. 121. May 22, 1996. Chombok University. The History of Mathematics from the Topological Point of View. 122. May 22, 1996. Chosan University. On the Index of Vector Fields. 123. May 24, 1996. Topology Conference, Korea University. On the Index of Vector Fields, 1 hour. 124. June 14, 1996. Conference on Higher Homotopy Structures in Topology and Mathematical Physics, Vassar. The Space of Local Vector Fields, 20 minutes. 125. July 10, 1996. World Congress of Non-Linear Analysts. Athens, Greece. The Degree of a General Map and an Application to Electrodynamics, 40 minutes. 126. October 29, 1998. Colloquium, Calvin College. Robots, Topology, Mathematics. 127. April 9, 1999. Special Quantum Topology Seminar. Univ. of Illinois, Chicago Circle. Exponentials in Physics and Eigenvalues of Lorentz Transformations, 1 hour. 128. July 30, 1999. Fixed Point Conference. Univ. of Sao Paolo. Applications of Topology, 1 hour. 129. October 18, 2000. Jewish Studies Lunch Series, Purdue. Mathematics and the Jewish People, 40 minutes. 130. October 31, 2001. Colloquium. Univ. of Calif at Riverside. Mathematics and Physics. 1 hour. 131. Robots and Quaternions (1 hour, first talk) Conference on Topology and Robotics at ETH, Zurich June 21 Ð29 2003 132. Transfers and JiangÕs Nielsen Theory for Periodic Points. ((20minutes) Special Session for fixed points at AMS winter meeting, Phoenix, 2004 133. Eigenbundles, Quaternions, and BerryÕs Phase (1 hour) International Conference on Homotopy Theory and Related Topics Korea University, Seoul Korea, February 3, 2004 134. Transfers and Periodic orbits ala JaingÕs Neilsen Theory (1 hour) International Conference on Homotopy Theory and Related Topics Hannan University, Teajon, Korea, February 4, 2004 135. Fixed Points and Fibrations (50 minutes) Fixed Point Theory Conference Memorial University of Newfoundland July 1, 2004 136. Fixed Point Indices and Manifolds with Collars (45 minutes) International Conference on Homotopy Theory and Related Topics 100 year anniversary for Korea University, Seoul Korea, February 1 - 4, 2005 ACTIVITIES 1993 A) Meetings Attended: Midwest Topology Seminar, 1/6/93, Chicago Circle 9th Pacific Coast Relativity Conference, 3/6/93, Santa Barbara Midwest Topology Seminar, 5/17/93, Notre Dame Caribbean Summer School for Mathematical Physics, 5/30-6/13/93, Guadeloupe Georgia Topology Conference, 7/7-7/13/93, University of Georgia Midwest Topology Seminar, 11/6/93, Purdue A.M.S. Winter Meetings, 1/11-1/14/94, Cincinnati ACTIVITIES 1993 (CONT.) B) Outside Talks: Gauss Bonnet from Thales til Today, Middle East Tech., Aukara, Turkey, 1 1/2 Hours C) Department Service: I designed a course on the History of Mathematics D) Graduate Students: Geetha Samaranayake E) Editorial Work: Refereed Papers and Journals ACTIVITIES 1994 A) Meetings Attended: AMS Winter Meetings, Cincinnati Browder Conference, Princeton NJ, March Lehigh Conference, June (40 minute talk) 7th Marcel Grossman Conference on Relativity, Stanford, July ( 20 minute talk) International Congress of Mathematicians, Zurich, August Topological Defects, Newton Institute, Cambridge, November Southern California Topology Conference, UCLA, Fall B) Sabbatical at UC Berkeley in summer and fall ACTIVITIES 1995 A) Meetings Attended: AMS Winter Meetings, San Francisco, Janaury Northern California Topology Conference, Stanford, February 7 Midwest Topology Seminar, Notre Dame, October 7 B) Sabbatical at UC Berkeley in spring and summer ACTIVITIES 1996 A) Meetings Attended: Univ. of Wisconsin meeting honoring Ed Fadell. April 12-14. Symposium on topology and mathematical physics, Toronto, Fields Institute, April 19- 22. Topology meeting, Korea Univ., Seoul, Korea, May 24. Higher Homotopy Structure in Topology and Mathematical Physics. Vassar College, Poughkeepsie, NY. June 13 - June 15 World Congress of Non Linear Analysts, (40 minute talk). Athens, Greece, July 9-11. B) Department Service: University Senator Member of University Resources Committee C) 17 Invited Addresses D) Two papers written. Another published. ACTIVITIES 1997 A) Meetings Attended: AMS, San Diego, January 10. Midwest Topology Seminar, Evanston, January 25. Topology and physics, Evanston, March 24-30, except March 24. Mathematics and History, Univ. of Chicago, May 9 B) Department Service: Senate Member of University Resources Committee Special History reading course for 4 English exchange students C) One paper and an encyclopedia article on the Becker-Gottlieb Transfer , published. 3 papers accepted. ACTIVITIES 1998 A) Meetings Attended: AMS, Baltimore, January 6-10. Midwest Topology Seminar, Evanston, January 24. Midwest Topology Seminar, Chicago Circle, April 18. Arhus Topology and Geometry Conference, August 9-14 (chair of session). International Congress of Math., Berlin, August 17-23 (chair of session). CPT and Lorentz Invariance, Bloomington IN, November 7. B) Department Service: Senate Member of University Resources Committee Visited Calvin College and Hope College to advertise Purdue Proposed Undergraduate Topology course (490T- 598T) Improved knowledge of History of Math for possible course C) Outside Talks: Robots, Topology, Mathematics; Colloquium Calvin College, October 29. 1 hour D) Publications: One paper published One paper written One book review One encyclopedia article ACTIVITIES 1999 A) Meetings Attended: Midwest Topology Seminar, Madison, February 13. Michael Barrett Conference, Evanston, April 11. Mel Rothenberg Conference, Hyde Park, April 25. Geometry and Physics, Santa Barbara, July 21-24. Fixed Point Conference, S„o Paolo, July 26-30. ACTIVITIES 1999 (CONT.) B) Department Service: Senate Member of University Resources Committee Coordinator of WeBWorK Advanced Services Committee C) Outside Talks Univ. of Illinois, Chicago Circle, Special Quantum Topology Seminar, 1 hour. S„o Paolo University, Fixed Point Conference, July 30, 1 hour. D) Publications: Two papers published Two papers accepted One book review ACTIVITIES 2000 A) Meetings Attended: A.M.S. Winter Meeting, Washington, D.C., Jan. 19-22. Midwest Topology Seminar, Univ. of Chicago, Feb. 26. Midwest Topology Seminar, Notre Dame, April 10-13. Topology and Geometry Conference, Lehigh, April 10-14. Millenium Conference, UCLA, August 6-12. B) Department Service: Advanced Services Committee Ad Hoc Committee Head Review Committee Colloquium Chair Student Cases Committee of SOS C) Outside Talks: Mathematics and the Jewish People, Oct. 18 D) Publications: One encyclopedia article published One paper published One paper accepted One paper written ACTIVITIES 2001 A) Meetings Attended: Workshop on Topology and Algebraic K-theory, IUPUI, Feb. 17, 19 Midwest Topology Seminar, U. of Illinois, Chicago, Feb. 24 Conference honoring Sam Gitler, Rochester, April 20-22. IPAM workshops on Conformal Field Theory Lake Arrowhead CFT Conference. ACTIVITIES 2001 (CONT.) B) Department Service: Advance Services Committee Colloquium Chair Student Cases Committee of SOS C) Outside Talks: Colloquium UC Riverside, Ocotober 31. Two talks at IPAM 2 Seminars at UCLA D) Publications E) Sabbatical leave: IPAM, UCLA, Fall 2001 ACTIVITIES 2002 A) Meetings Attended: American Math. Soc. Winter Meetings in San Diego B) Outside Talks: 2 Seminars at UCLA C) Publications D) Sabbatical leave: UCLA, Spring 2002 PH.D. STUDENTS George Lang (1970), Purdue Ryuji Maehara (1972), Iowa State Murad Ozaydin (1984), Purdue Craig Johnson (1989), Purdue Chen Benjamin (1990), Purdue Malhab Keirouz (1991), Purdue Geetha Samaranayake (1993), Purdue COMMITTEES: Undergraduate Committee 1975-77 Teacher Evaluation Committee 1975-76 Graduate Committee 1981-84 University Grievance Committee 1982-83 Colloquium Chairman 1983-84 Academic Senate 1983-86, 1996-1999 Undergraduate Services Committee 1985-86 University Resources Committee 1996-1999 Advanced Services Committee 1999- Ad Hoc Subcommittee 2000 Head Review Committee 2000 MISCELLANEOUS: Reviewer of Zentralblatt Referee for numerous Journals Referee for NSF and other granting organizations History of Mathematics Course 1993