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Annual Report 1998–99 Department of Mathematics Cornell University Annual Report 1998Ð99 The image on the cover is taken from a catalogue of several hundred “symmetric tensegrities” developed by Professor Robert Connelly and Allen Back, director of our Instructional Computer Lab. (The whole catalogue can be viewed at http://mathlab.cit.cornell.edu/visualization/tenseg/tenseg.html.) The 12 balls represent points in space placed at the midpoints of the edges of a cube. The thin dark edges represent “cables,” each connecting a pair of vertices. If two vertices are connected by a cable, then they are not permitted to get further apart. The thick lighter shaded diagonals represent “struts.” If two vertices are connected by a strut, then they are not permitted to get closer together. The examples in the catalogue — including the one represented on the cover — are constructed so that they are “super stable.” This implies that any pair of congurations of the vertices satisfying the cable and strut constraints are congruent. So if one builds this structure with sticks for the struts and string for the cables, then it will be rigid and hold its shape. The congurations in the catalogue are constructed so that they are “highly” symmetric. By this we mean that there is a congruence of space that permutes all the vertices, and any vertex can be superimposed onto any other by one of those congruences. In the case of the image at hand, all the congruences can be taken to be rotations. Department of Mathematics Annual Report 1998Ð99 Year in Review: Mathematics Instruction and Research Cornell University Þrst among private institutions in undergraduates who later earn Ph.D.s. Ithaca, New York, the home of Cornell University, is located in the heart of the Finger Lakes Region. It offers the cultural activities of a large university and the diversions of a rural environment. Mathematics study at Cornell is a unique experience. The University has managed to foster excellence in research without forsaking the ideals of a liberal education. In many ways, the cohesiveness and rigor of the Mathematics Department is a reßection of the Cornell Tradition. Robert Connelly, chair Department of Mathematics Cornell University Telephone: (607) 255-4013 320 Malott Hall Fax: (607) 255-7149 Ithaca, NY 14853-4201 e-mail: [email protected] Table of Contents The Year in Review 1998–99..........................................................................1 Support Sta ...........................................................................................2 Graduate Program .....................................................................................3 Undergraduate Program ..............................................................................4 Research and Professional Activities.................................................................4 Faculty Changes .......................................................................................5 New Faculty for 1999–2000 ...........................................................................5 Yuri Berest; Vlada Limic; Michael Nussbaum; Peter Topping Gifts .....................................................................................................5 Awards and Honors ....................................................................................5 Alice T. Shafer Prize; Eleanor Norton York Award; Freshman Math Prize; Goldwin Smith Profes- sorship; Hutchinson Fellowship; Ithaca High School Senior Prize; Kieval Prize; Merrill Presidential Scholar; Robert John Battig Graduate Prize; Sloan Doctoral Dissertation Fellowship; Sloan Research Fellowship Instructional Activities ................................................................................7 Summer Program ......................................................................................7 Curriculum Changes ...................................................................................8 Interdisciplinary Instructional Activity ..............................................................8 Mathematics/Engineering Liaison; Engineering Restructuring Malott Hall Relocation ................................................................................9 Mathematics Course Enrollment Statistics .......................................................10 Mathematics Department Directory 1998–99 ....................................................12 Special Programs and Activities ....................................................................15 Kieval Lecture ........................................................................................15 Conference in Probability in Honor of Harry Kesten .............................................15 Spring Concert Series ................................................................................16 Topology Festival .....................................................................................16 Preparing Future Professors .........................................................................17 Expanding Your Horizons ...........................................................................17 Mathematics Awareness Week ......................................................................17 Research Experiences for Undergraduates Program ..............................................18 Centers and Institutes................................................................................19 Center for Applied Mathematics; Center for the Foundations of Intelligent Systems; The Field of Statistics Mathematics Library .................................................................................19 Special Instructional Support .......................................................................20 Computer Lab; Mathematics Support Center; Learning Strategies Center NSF Undergraduate Faculty Enhancement Workshop............................................21 Mathematics Education..............................................................................22 Cornell/Schools Mathematics Resource Program; Teacher Education in Agriculture, Mathematics and Science Mathematics Department Endowments ............................................................22 The Colloquium Endowment Fund; The Eleanor Norton York Endowment; The Faculty Book Endowment; The Israel Berstein Memorial Fund; The Logic Endowment; The Robert John Battig Endowment Degrees Granted 1998–99 ...........................................................................24 Department Colloquia ................................................................................28 1998–99 Faculty Publications .......................................................................36 Research Grant Activity ..............................................................................38 The Faculty and their Research .....................................................................40 Faculty Proles.........................................................................................42 Visiting Faculty Program Participants .............................................................75 Sta Proles............................................................................................77 The Year in Review 1998–99 This year we were very pleased to hire two excellent pus, by additional instructional teaching assistants, and people for our tenure/tenure-track faculty, Professor an additional H.C. Wang Assistant Professor in mathe- Michael Nussbaum from the Weierstrass Institute in matics. We are happy with the performance of all these Berlin, Germany, and Assistant Professor Yuri Berest people, and we feel that the experiment is going well. In from the University of California at Berkeley. Professor addition, it has been decided that the restructuring will Nussbaum is a leading statistician in the eld of non- be continued essentially in its present form for at least parametric function estimation. We had been looking two more years, for the fall of 2000 and the fall of 2001. for a top-rate statistician for some years since Profes- sor Larry Brown left, and we are pleased that Professor Seven of our regular faculty members were on leave for Nussbaum decided to join us. Professor Berest is very all or part of the 1998–1999 academic year. Professor highly regarded in the elds of partial dierential equa- Mark Gross spent the academic year at the University tions, mathematical physics and algebra. of Warwick, England. Mark has since resigned from Cor- nell eective July 1, 1999, and has taken a permanent We were not able to hire any new H.C. Wang Assis- position at Warwick. Professor Persi Diaconis spent the tant Professors this year, but for the 1999–2000 academic academic year at Stanford University. Professor Moss year, we will have two new H.C. Wang Assistant Profes- Sweedler spent the academic year at the National Se- sors who were hired during the 1997–98 academic year, curity Agency, and Professor John Hubbard spent the but who deferred their start date to July 1, 1999. Peter spring semester at the University of Marseilles in Mar- Topping, who works on the theory of partial dieren- seilles, France. In addition, Professor Allen Hatcher tial equations and dierential geometry, replaces Miklos was on sabbatical in the fall, and professors Kenneth Erdelyi-Szabo. Vlada Limic is an expert in Lie alge- Brown and Richard Durrett were on sabbatical in the bras and Lie groups. She replaces Noel Brady, who left spring. June 30, 1998. In the summer of 1998, a conference in probability in This year the department beneted
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