DOCSLIB.ORG

Annual Report 1996–1997

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Annual Report 1996–1997 Department of Mathematics Cornell University Annual Report 1996Ð97 Year in Review: Mathematics Instruction and Research Dedication Wolfgang H. J. Fuchs This annual report is dedicated to the memory of Wolfgang H. J. Fuchs, professor emeritus of mathematics at Cornell University, who died February 24, 1997, at his home. Born on May 19, 1915, in Munich, Germany, Wolfgang moved to England in 1933 and enrolled at Cambridge University, where he received his B.A. in 1936 and his Ph.D. in 1941. He held various teaching positions in Great Britain between 1938 and 1950. During the 1948Ð49 academic year, he held a visiting position in the Mathematics Department at Cornell University. He returned to the Ithaca community in 1950 as a permanent member of the department, where he continued to work vigorously even after his ofÞcial retirement in 1985. He was chairman of the Mathematics Department from 1969 to 1973. His academic honors include a Guggenheim Fellowship, a Fulbright-Hays Research Fellowship, and a Humboldt Senior Scientist award. Wolfgang was a renowned mathematician who specialized in the classical theory of functions of one complex variable, especially Nevanlinna theory and approximation theory. His fundamental discoveries in Nevanlinna theory, many of them the product of an extended collaboration with Albert Edrei, reshaped the theory and have profoundly inßuenced two generations of mathematicians. His colleagues will remember him both for his mathematical achievements and for his remarkable good humor and generosity of spirit. He is survived by his wife, Dorothee Fuchs, his children Ñ Annie (Harley) Campbell, John Fuchs and Claudia (Lewis McClellen) Fuchs Ñ and by his grandchildren: Storn and Cody Cook, and Lorenzo and Natalia Fuchs McClellen. 1 Department of Mathematics Annual Report 1996Ð97 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 124 White Hall Fax: (607) 255-7149 Ithaca, NY 14853-7901 e-mail: [email protected] 1 Table of Contents The Year in Review .....................................................................................1 Support Sta ...........................................................................................2 Graduate Program .....................................................................................2 Research and Professional Activities.................................................................3 Faculty Changes .......................................................................................4 New Faculty for 1997–98 ..............................................................................4 Xavier Bu; Persi Diaconis; Yulij Ilyashenko; Laurent Salo-Coste; Jiaping Wang; Daniel Wise Gifts .....................................................................................................5 Awards and Honors ....................................................................................5 Clark Distinguished Teaching Award; Eleanor Norton York Award; Hutchinson Fellowship; Ithaca High School Senior Prize; Kieval Prize; Merill Presidential Scholar; Putnam Fellows; Sloan Research Fellowship; Sloan Doctoral Dissertation Fellowship Instructional Activities ................................................................................6 Curriculum Changes ...................................................................................6 Interdisciplinary Instructional Activity ..............................................................7 Mathematics/Engineering Liaison; Teaching Exchange Relocation Preparations...............................................................................8 Department Needs .....................................................................................8 Professional and Support Sta; Operating Budget; Equipment Mathematics Course Enrollment Statistics .......................................................10 Faculty and Sta Directory ..........................................................................12 Graduate Student Directory .........................................................................13 Special Programs and Activities ....................................................................14 Faculty Publications..................................................................................14 Louis Billera; Richard Durrett; Jose Escobar; Dexter Kozen; Anil Nerode and Richard Shore; Lloyd Trefethen Spring Concert Series ................................................................................15 Topology Festival .....................................................................................15 Joint Meetings of the AMS and MAA .............................................................16 Preparing Future Professors .........................................................................16 Expanding Your Horizons ...........................................................................17 Math Awareness Week ...............................................................................17 Research Experiences for Undergraduates Program ..............................................17 Centers and Institutes................................................................................18 Center for Applied Mathematics; Mathematical Sciences Institute; Statistics Center Mathematics Library .................................................................................19 Special Instructional Support .......................................................................19 Computer Lab; Mathematics Support Center; Learning Skills Center NSF Undergraduate Faculty Enhancement Workshop............................................20 Mathematics Education..............................................................................21 Cornell/Schools Mathematics Resource Program; Geometry Workshop for Mathematics Teachers; Teacher Education in Science and Mathematics Calculus Reform Resource Development ...........................................................21 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 Degrees Granted 1996–97 ...........................................................................23 Department Colloquia ................................................................................26 Research Grant Activity ..............................................................................33 The Faculty and their Research .....................................................................34 Faculty Proles.........................................................................................35 Visiting Faculty Program Participants .............................................................65 Sta Proles............................................................................................69 The Year in Review 1996–97 This was an historic year for the Mathematics Depart- mathematics. We continue in our endeavor to hire people ment. We had an unusually high number of vacant fac- capable of doing an excellent job of both teaching and ulty lines to ll, presenting a special opportunity for the research. department. We will be making decisions that will ef- fect us for a long time. We initiated ve tenure-track On another front, a cooperative eort with the College searches, and lled three faculty positions. of Engineering has resulted in a signicant restructur- ing of one of our freshman engineering calculus courses. Persi Diaconis, a member of the National Academy of Plans have been approved for the fall semester teaching Sciences, has accepted the oer of the David Duncan of Math 192 — the second course in engineering calcu- Chair, previously held by Carl Sagan. He will hold half- lus — to be converted from the existing large lecture time appointments in the Mathematics Department and system to smaller classes of about 25 students. Thanks the School of Operations Research and Industrial En- to the generosity and cooperation of President Rawl- gineering in the Engineering College. As a visitor dur- ings, Provost Randel, Dean Lewis and Dean Hopcroft, ing the 1996–97 academic year, Persi gave a course on engineering freshmen will benet from the advantages Markov chains to a packed house in the fall and a course of smaller class sizes starting in the 1997–98 academic on the theory of nite groups in the spring. Persi seemed year. (For more information, see page 7.) As part of to be everywhere this year, giving seminars all over cam- this plan, we were given permission to hire an additional pus. We look forward to his return as a permanent mem- H. C. Wang assistant professor to help oset the resul- ber of our faculty; his presence will greatly benet the tant need for additional instructors. We are pleased that
Load more

Recommended publications
  • Curriculum Vitae Education Professional Positions Honors And
    Curriculum Vitae Xiuxiong Chen Education • PhD., Pure Mathematics, University of Pennsylvania, 1994. • M.A., Graduate School of Academic Sinica, Beijing, China, 1989. • B.A., Pure Mathematics, University of Science and Technology of China, Hefei, China, 1987. Professional positions • 09/2010–, Professor, Stony Brook University. • 01/2007–06/2007, Visiting Professor, Princeton University. • 2005–2010, Professor, University of Wisconsin at Madison. • 2002-2005, Associate Professor, University of Wisconsin at Madison. • 1998-2002, Assistant Professor, Princeton University. • 1996-1998, NSF Post-doctoral Fellow, Stanford University. • 1994-1996, Instructor, McMaster University, Canada. Honors and Awards • 1996-2000, National Science foundation postdoctoral Fellowship. • 08/2002, Invited address at International Congress of Mathematicians, Beijing, China. • 04/2005, Invited address at AMS regional meeting in Newark, Delware. • 04/09/2010-04/11/2010, Invited lecture at 25th Geometry Festival, Courant Institute. • 2015, Fellow of the American Mathematical Society. • 2016, Simons Fellow in Mathematics. • 2019, Veblen Prize in Geometry. • 2019, Simons Investigator Award. Xiuxiong Chen Curriculum vitae PhD. Students and Theses Supervised/co-supervised • Yingyi Wu (PhD., 2005, University of Science and Technology). Some problems on HCMU metrics in Riemannian Surfaces. • Brian Weber (PhD., 2007, UW-Madison), Moduli Spaces of Extremal Kahler¨ Manifolds. • Weiyong He (PhD., 2007, UW-Madison), Extremal Metrics, The Stability Conjecture and the Cal- abi Flow. • Haozhao Li (PhD, 2007, Peking University), Energy Functionals and Kahler-Ricci¨ Flow. • Bing Wang (PhD., 2008, UW-Madison), On the Extension of the Ricci flow. • Yudong Tang (PhD., 2008, UW-Madison), Geodesic Rays and Test Configurations. • Weidong Yin(PhD., 2009, UW-Madison), Weak Solution of Yang-Mills Flow in Dimension N?4: • Song Sun (PhD., 2010, UW-Madison), Kempf-Ness theorem and uniqueness of extremal metrics.
    [Show full text]
  • Curriculum Vitae Fernando Codá Marques January 16Th, 2019
    Curriculum Vitae Fernando Cod´aMarques January 16th, 2019 Personal information Name: Fernando Cod´aMarques Date of birth: October 8th of 1979 Nationality: Brazilian Address Princeton University Fine Hall, Washington Road Princeton NJ 08544-1000 USA Phone: (609) 258-1769 Fax: (609) 258-1367 Education 2000-2003 Ph.D. in Mathematics Cornell University, C. U., Ithaca/NY USA Thesis Advisor : Jos´eF. Escobar Title : Existence and compactness theorems on conformal deformations of metrics Scholarship from : Conselho Nacional de Desenvolvimento Cient´ıficoe Tecnol´ogico(CNPq) 1998-1999 Mathematics M.S. IMPA, Rio de Janeiro/RJ Brazil Scholarship from : Conselho Nacional de Desenvolvimento Cient´ıficoe Tecnol´ogico(CNPq) 1996-1999 Mathematics B.S. UFAL - Universidade Federal de Alagoas Macei´o,Alagoas - Brazil Employment history 2003-2007 Assistant Professor, IMPA 2007-2010 Associate Professor, IMPA 2010-2014 Professor, IMPA 2014- Professor, Princeton University Visiting Positions 2018 Distinguished Visitor Professor, IAS, Princeton - Special Program 2018-2019: \Variational Methods in Geometry" 2017 Dean's Distinguished Visiting Professor, Fields Institute, Toronto, Canada 2013-2014 Ecole´ Polytechnique, Ecole´ Normale Sup´erieureand Universit´eParis-Est Marne la Vall´ee,Paris, France 2012 Institut Henri Poincar´e,Paris, France (1 month) 2011 Stanford University, USA (2 months) 2011 Institut Fourier, Grenoble, France (1 month) 2010 Stanford University, USA (3 months) 2009 Stanford University, USA (1 month) 2008 Member of the Institute for Advanced
    [Show full text]
  • Iakovos Androulidakis Curriculum Vitæ, October 2020
    Iakovos Androulidakis Curriculum Vitæ, October 2020 Personal data Nationality Greek. Citizenship Greek. Home 19, Leonida Drosi Street, 11474, Athens, Greece. address Date of birth February 6, 1973. Place of Athens, Greece. birth PhD University of Sheffield, U.K., January 17, 2002. Positions Nov 2016 – Associate Professor (tenured), National and Kapodistrian University of Athens today (NKUA). Jan. 2012 – Assistant Professor (tenure track), National and Kapodistrian University of Athens Oct 2016 (NKUA). Aug. 2009 – Postdoctoral Researcher (DFG), Institute of Mathematics, University of Göttingen. July 2011 Sept. 2008 – Postdoctoral Researcher (FCT), University of Porto. June 2009 Oct 2006 – Visiting Assistant Professor (P.D. 407), Department of Mathematics, University of June 2008 Crete. Sept. 2005 – Research Assistant to Prof. A. Cattaneo, Institute of Mathematics, University of Sept. 2006 Zürich. Sept. 2004 – Postodoctoral Researcher (EU-RTN ”Quantum Spaces and Noncommutative July 2005 Geometry”), Departement de Mathématiques, Paris 7 Denis Diderot. May 2002 – National service and medical recovery. Aug. 2004 Sept. 2001 – Postdoctoral Researcher (EU-RTN ”Differential Geometry Endeavour”), Feb. 2002 Instituto Superior Tecnico, Lisbon. Sept. 10, PhD viva voce, University of Sheffield. 2001 Panepistimiopolis – 15784 Athens +30 210 7276423 • +30 210 7276378 • [email protected] http://scholar.uoa.gr/iandroul/ Grants/Awards/Prizes 2015 “Chercheur Visiteur” at Paris 7 Denis Diderot (3900 euros). DFG funding for short visits to University of Göttingen (4800 euros). “Shapiro Visiting Professorship”, Penn State (2500 euros). 2013 “Konstantine Karatheodory” prize (NKUA) 2012 Prize of the Academy of Athens to common publication with V. Nestoridis (prize awarded to V. Nestoridis) 2011 Marie Curie Career Integration Grant (50000 euros). http://users.uoa.gr/ ~iandroul/NCGSF.html 2011 “Maitre de Conferences Visiteur”, Université Toulouse Paul Sabatier.
    [Show full text]
  • Long Version
    Weiqing Gu Department of Mathematics Harvey Mudd College Claremont CA 91711 [email protected] 909-621-8929 EDUCATION AND CAREER: 1978 - 1980 Shanghai Teachers College of Technology 1980 - 1982 Teacher of Mathematics at Shanghai Teachers College of Technology 1982 - 1984 Bachelor’s Degree Shanghai Teachers University 1984 - 1987 Continued teaching Mathematics at Shanghai Teachers University 1988 - 1989 Began graduate work in Mathematics at the University of Oklahoma 1989 - 1995 Ph.D. in Mathematics, University of Pennsylvania (M.S. 1993) 1995 - 1996 Master’s Degree in Computer Science, University of Pennsylvania 1996 - 2002 Assistant Professor of Mathematics at Harvey Mudd College 1999 (Fall) Assistant Researcher at the University of California at Irvine 2002 - present Associate Professor of Mathematics at Harvey Mudd RESEARCH INTERESTS: • Differential Geometry and Topology • Geometric Modeling and Design • Industry Mathematics • Applications in Math-Biology DOCTORAL DISSERTATION IN MATHEMATICS: • The stable 4-dimensional geometry of the real Grassmann manifolds. (Adviser: Herman Gluck) FELLOWSHIPS: • University of Pennsylvania: Spring 1991, Spring 1993, Fall 1994 and Spring 1995, Research Fellow at UC Irvine, Fall 1999. RESEARCH PAPERS: Papers are organized into following 4 categories (Please see my research statement for more details): 1. Differential Geometry and Topology • Weiqing Gu (1997), The Stable 4-dimensional Geometry of the Real Grassmann Manifolds. Duke Mathematical Journal, Vol. 93, No. 1, 155-178. • Weiqing Gu and Zhongmin Shen (1998), L´evyConcentration of Metric Measure Manifolds. Finslerian Geometries, Kluwer Academic Publishers, 169-177. • Weiqing Gu and Shenjun Jiang (1998), Knotty Matrices in Knots. The Journal of Knot Theory and its Ramifications, Vol. 8, No. 6, 701-707.
    [Show full text]
  • Comisi ´On Interministerial De Ciencia Y Tecnologıa Curriculum Vitae
    Comision´ Interministerial de Ciencia y Tecnolog´ıa Curriculum vitae Numero´ de hojas que contiene: 37 Nombre: Angel Ferrandez´ Izquierdo Fecha: 6 de junio de 2016 Firma: Web personal: webs.um.es/aferr Apellidos: Ferrandez´ Izquierdo Nombre: Angel Sexo: Fecha Nacimiento: D.N.I.: Nº FUNCIONARIO: Situacion´ profesional actual Organismo: Universidad de Murcia Facultad, Escuela O Instituto: Facultad de Matematicas´ Dept./Secc./Unidad Estr.: Departamento de Matematicas´ Direccion´ Postal: Telefono´ (indicar prefijo, numero´ y extension):´ Fax: Correo electronico:´ Especializacion´ (Codigos´ UNESCO): 120404, 120411 Categor´ıa Profesional: Catedratico´ de Universidad Fecha de Inicio: Situacion´ Administrativa: ⇥ Plantilla ⇤ Contratado ⇤ Becario ⇤ Interino Dedicacion:´ A Tiempo Completo ⇥ A Tiempo Parcial ⇤ L´ıneasde Investigacion´ Breve descripcion,´ por medio de palabras claves, de la especializacion´ y l´ıneas de investigacion´ actuales. Geometr´ıa de subvariedades riemannianas. Geometr´ıa espectral de subvariedades y teor´ıa de tipo finito. Teor´ıa de subvariedades con metricas´ indefinidas. Teor´ıa de curvas e hipersuperficies lumino- sas. Superficies y energ´ıa de Willmore. Aplicaciones de la Geometr´ıa Diferencial a la F´ısica. Formacion´ Academica´ Titulacion´ Superior Centro Fecha Matematicas´ Facultad de Ciencias, Universidad de Granada 30/06/1974 Doctorado Centro Fecha Matematicas´ Facultad de Matematicas,´ Universidad de Valencia 04/03/1980 (Director: Antonio Mart´ınez Naveira) Actividades anteriores de caracter´ cient´ıfico-profesional
    [Show full text]
  • April 2017 Table of Contents
    ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society April 2017 Volume 64, Number 4 AMS Prize Announcements page 311 Spring Sectional Sampler page 333 AWM Research Symposium 2017 Lecture Sampler page 341 Mathematics and Statistics Awareness Month page 362 About the Cover: How Minimal Surfaces Converge to a Foliation (see page 307) MATHEMATICAL CONGRESS OF THE AMERICAS MCA 2017 JULY 2428, 2017 | MONTREAL CANADA MCA2017 will take place in the beautiful city of Montreal on July 24–28, 2017. The many exciting activities planned include 25 invited lectures by very distinguished mathematicians from across the Americas, 72 special sessions covering a broad spectrum of mathematics, public lectures by Étienne Ghys and Erik Demaine, a concert by the Cecilia String Quartet, presentation of the MCA Prizes and much more. SPONSORS AND PARTNERS INCLUDE Canadian Mathematical Society American Mathematical Society Pacifi c Institute for the Mathematical Sciences Society for Industrial and Applied Mathematics The Fields Institute for Research in Mathematical Sciences National Science Foundation Centre de Recherches Mathématiques Conacyt, Mexico Atlantic Association for Research in Mathematical Sciences Instituto de Matemática Pura e Aplicada Tourisme Montréal Sociedade Brasileira de Matemática FRQNT Quebec Unión Matemática Argentina Centro de Modelamiento Matemático For detailed information please see the web site at www.mca2017.org. AMERICAN MATHEMATICAL SOCIETY PUSHING LIMITS From West Point to Berkeley & Beyond PUSHING LIMITS FROM WEST POINT TO BERKELEY & BEYOND Ted Hill, Georgia Tech, Atlanta, GA, and Cal Poly, San Luis Obispo, CA Recounting the unique odyssey of a noted mathematician who overcame military hurdles at West Point, Army Ranger School, and the Vietnam War, this is the tale of an academic career as noteworthy for its o beat adventures as for its teaching and research accomplishments.
    [Show full text]
  • FRANCISCO MARTIN SERRANO Fecha Del Documento: 13/04/2016 Informe De Investigador FRANCISCO MARTIN SERRANO
    Sistema de Información Científica de Andalucía LEONOR FERRER MARTÍNEZ Fecha del documento: 14/04/2016 Informe de investigador LEONOR FERRER MARTÍNEZ Datos del investigador Datos de identificación del investigador Nombre LEONOR Apellidos FERRER MARTÍNEZ Fecha de nacimiento Género Mujer Nacionalidad España País de nacimiento España Región Provincia Tipo de documento DNI Documento de identidad Teléfono Móvil Email Web personal Situación profesional actual Categoría profesional: Profesor titular de universidad Adscripción: Academica Dedicación: Tiempo completo Entidad: Geometría y Topología Áreas de conocimiento Geometría Y Topología Producción y actividad científica del investigador Detalles de producción .1 Proyectos I+D+i y Ayudas 14/04/2016 LEONOR FERRER MARTÍNEZ 2 / 8 1. Proyecto: ANALISIS GEOMETRICO Código: MTM2007-61775 Ámbito del proyecto: Programa financiador: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIA Y TECNOLOGÍA Entidad financiadora: Responsable: Ros-Mulero, Antonio Fecha inicio: 01/10/2007 Fecha fin: 03/08/2012 Cuantía total (EUROS): 500819 2. Proyecto: ANÁLISIS GEOMÉTRICO Y APLICACIONES Código: P06-FQM-1642 Ámbito del proyecto: Programa financiador: PROYECTOS DE EXCELENCIA, JUNTA DE ANDALUCÍA Entidad financiadora: Responsable: Ros-Mulero, Antonio Fecha inicio: 11/04/2007 Fecha fin: 31/03/2010 Cuantía total (EUROS): 78000 3. Proyecto: GEOMETRÍA DE SUPERFICIES. SUPERFICIES MÍNIMAS Y OTRAS CONDICIONES DE CURVATURA Código: (MTM2004-02746) Ámbito del proyecto: Internacional no UE Programa financiador: OTROS PROGRAMAS
    [Show full text]
  • Mathematics Opportunities
    Mathematics Opportunities will be published by the American Mathematical Society, NSF Integrative Graduate by the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Education and Research Institute of Mathematical Statistics. Training Support is provided for about thirty participants at each conference, and the conference organizer invites The Integrative Graduate Education and Research Training both established researchers and interested newcomers, (IGERT) program was initiated by the National Science including postdoctoral fellows and graduate students, to Foundation (NSF) to meet the challenges of educating Ph.D. attend. scientists and engineers with the interdisciplinary back- The proposal due date is April 8, 2005. For further grounds and the technical, professional, and personal information on submitting a proposal, consult the CBMS skills needed for the career demands of the future. The website, http://www.cbms.org, or contact: Conference program is intended to catalyze a cultural change in grad- Board of the Mathematical Sciences, 1529 Eighteenth Street, uate education for students, faculty, and universities by NW, Washington, DC 20036; telephone: 202-293-1170; establishing innovative models for graduate education in fax: 202-293-3412; email: [email protected] a fertile environment for collaborative research that tran- or [email protected]. scends traditional disciplinary boundaries. It is also intended to facilitate greater diversity in student participation and —From a CBMS announcement to contribute to the development of a diverse, globally aware science and engineering workforce. Supported pro- jects must be based on a multidisciplinary research theme National Academies Research and administered by a diverse group of investigators from U.S.
    [Show full text]
  • AROUND PERELMAN's PROOF of the POINCARÉ CONJECTURE S. Finashin After 3 Years of Thorough Inspection, Perelman's Proof of Th
    AROUND PERELMAN'S PROOF OF THE POINCARE¶ CONJECTURE S. Finashin Abstract. Certain life principles of Perelman may look unusual, as it often happens with outstanding people. But his rejection of the Fields medal seems natural in the context of various activities followed his breakthrough in mathematics. Cet animal est tr`esm¶echant, quand on l'attaque, il se d¶efend. Folklore After 3 years of thorough inspection, Perelman's proof of the Poincar¶eConjecture was ¯nally recognized by the consensus of experts. Three groups of researchers not only veri¯ed its details, but also published their own expositions, clarifying the proofs in several hundreds of pages, on the level \available to graduate students". The solution of the Poincar¶eConjecture was the central event discussed in the International Congress of Mathematicians in Madrid, in August 2006 (ICM-2006), which gave to it a flavor of a historical congress. Additional attention to the personality of Perelman was attracted by his rejec- tion of the Fields medal. Some other of his decisions are also non-conventional and tradition-breaking, for example Perelman's refusal to submit his works to journals. Many people ¯nd these decisions strange, but I ¯nd them logical and would rather criticize certain bad traditions in the modern organization of science. One such tradition is a kind of tolerance to unfair credit for mathematical results. Another big problem is the journals, which are often transforming into certain clubs closed for aliens, or into pro¯table businesses, enjoying the free work of many mathemati- cians. Sometimes the role of the \organizers of science" in mathematics also raises questions.
    [Show full text]
  • The Differences of Ricci Flow Between Perelman and Hamilton About the Poincaré Conjecture and the Geometrization Conjecture Of
    Journal of Modern Education Review, ISSN 2155-7993, USA September 2017, Volume 7, No. 9, pp. 662–670 Doi: 10.15341/jmer(2155-7993)/09.07.2017/007 © Academic Star Publishing Company, 2017 http://www.academicstar.us The Differences of Ricci Flow between Perelman and Hamilton about the Poincaré Conjecture and the Geometrization Conjecture of Thurston for Mathematics Lectures Karasawa Toshimitsu (YPM Mara Education Foundation/Univertiti Kuala Lumpur, Japan) Abstract: In this paper, it will be given the ideas of the proof the Poincaré conjecture and the geometrization conjecture of Thurston by Perelman who is a Russian mathematician posted the first of a series of three e-prints. Perelman’s proof uses a modified version of a Ricci flow program developed by Richard Streit Hamilton. Someone said that the major contributors of this work are Hamilton and Perelman. Actually Ricci flow was pioneered by Hamilton. But the version of surgery needed for Perelman’s argument which is extremely delicate as one need to ensure that all the properties of Ricci flow used in the argument also hold for Ricci flow with surgery. Running the surgery in reverse, this establishes the full geometry conjecture of Thurston, and in particular the Poincaré conjecture as a special and simpler case. This is the excellent thing for the mathematics lecturer to find in his/her mathematics education. Keywords: Ricci Flow, Poincaré conjecture, Geometrization conjecture, Perelman, Hamilton 1. Introduction The Poincaré conjecture was one of the most important open questions in topology before being proved. In 2000, it was named one of the seven Millennium Prize Problems which were conceived to record some of the most difficult problems with which mathematicians were grappling at the turn of the second millennium.
    [Show full text]
  • Geometry © 2004 Springer Science+Business Media, Inc
    Discrete Comput Geom 32:435–436 (2004) Discrete & Computational DOI: 10.1007/s00454-004-1130-6 Geometry © 2004 Springer Science+Business Media, Inc. Guest Editors’ Preface This special issue is dedicated to Louis J. Billera on the occasion of his 60th birthday. Louis Billera received his Ph.D. from City University of New York in 1968 with a dissertation in game theory, formally under the direction of Moses Richardson, but with considerable help from Michel Balinski of CUNY and Michael Maschler of the Hebrew University. That year he began his long career at Cornell, where he is now a Professor of Mathematics, and a member of the Center for Applied Mathematics and the Graduate Field of Operations Research. His fellowships and leaves have taken him to Hebrew University, Brandeis University, Universit´e Catholique de Louvain (Belgium), Rutgers University, Mittag-Leffler Institute (Sweden) and the Mathematical Sciences Research Institute (Berkeley). In 1989 he was the first Associate Director of the National Science Foundation Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University. In his distinguished career Louis Billera has published in the areas of game theory, ge- ometric combinatorics and algebraic combinatorics. In 1994 Louis Billera was awarded the Fulkerson Prize in Discrete Mathematics by the American Mathematical Society and the Mathematical Programming Society for his research in multivariate splines. His ground-breaking contributions include (but are not limited to): • research on the allocation
    [Show full text]
  • LETTERS to the EDITOR Responses to ”A Word From… Abigail Thompson”
    LETTERS TO THE EDITOR Responses to ”A Word from… Abigail Thompson” Thank you to all those who have written letters to the editor about “A Word from… Abigail Thompson” in the Decem- ber 2019 Notices. I appreciate your sharing your thoughts on this important topic with the community. This section contains letters received through December 31, 2019, posted in the order in which they were received. We are no longer updating this page with letters in response to “A Word from… Abigail Thompson.” —Erica Flapan, Editor in Chief Re: Letter by Abigail Thompson Sincerely, Dear Editor, Blake Winter I am writing regarding the article in Vol. 66, No. 11, of Assistant Professor of Mathematics, Medaille College the Notices of the AMS, written by Abigail Thompson. As a mathematics professor, I am very concerned about en- (Received November 20, 2019) suring that the intellectual community of mathematicians Letter to the Editor is focused on rigor and rational thought. I believe that discrimination is antithetical to this ideal: to paraphrase I am writing in support of Abigail Thompson’s opinion the Greek geometer, there is no royal road to mathematics, piece (AMS Notices, 66(2019), 1778–1779). We should all because before matters of pure reason, we are all on an be grateful to her for such a thoughtful argument against equal footing. In my own pursuit of this goal, I work to mandatory “Diversity Statements” for job applicants. As mentor mathematics students from diverse and disadvan- she so eloquently stated, “The idea of using a political test taged backgrounds, including volunteering to help tutor as a screen for job applicants should send a shiver down students at other institutions.
    [Show full text]