April 2017 Table of Contents
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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. -
Interactive Proof Systems and Alternating Time-Space Complexity
Theoretical Computer Science 113 (1993) 55-73 55 Elsevier Interactive proof systems and alternating time-space complexity Lance Fortnow” and Carsten Lund** Department of Computer Science, Unicersity of Chicago. 1100 E. 58th Street, Chicago, IL 40637, USA Abstract Fortnow, L. and C. Lund, Interactive proof systems and alternating time-space complexity, Theoretical Computer Science 113 (1993) 55-73. We show a rough equivalence between alternating time-space complexity and a public-coin interactive proof system with the verifier having a polynomial-related time-space complexity. Special cases include the following: . All of NC has interactive proofs, with a log-space polynomial-time public-coin verifier vastly improving the best previous lower bound of LOGCFL for this model (Fortnow and Sipser, 1988). All languages in P have interactive proofs with a polynomial-time public-coin verifier using o(log’ n) space. l All exponential-time languages have interactive proof systems with public-coin polynomial-space exponential-time verifiers. To achieve better bounds, we show how to reduce a k-tape alternating Turing machine to a l-tape alternating Turing machine with only a constant factor increase in time and space. 1. Introduction In 1981, Chandra et al. [4] introduced alternating Turing machines, an extension of nondeterministic computation where the Turing machine can make both existential and universal moves. In 1985, Goldwasser et al. [lo] and Babai [l] introduced interactive proof systems, an extension of nondeterministic computation consisting of two players, an infinitely powerful prover and a probabilistic polynomial-time verifier. The prover will try to convince the verifier of the validity of some statement. -
The Association for Women in Mathematics: How and Why It Was
Mathematical Communities t’s 2011 and the Association for Women in Mathematics The Association (AWM) is celebrating 40 years of supporting and II promoting female students, teachers, and researchers. It’s a joyous occasion filled with good food, warm for Women conversation, and great mathematics—four plenary lectures and eighteen special sessions. There’s even a song for the conference, titled ‘‘((3 + 1) 9 3 + 1) 9 3 + 1 Anniversary in Mathematics: How of the AWM’’ and sung (robustly!) to the tune of ‘‘This Land is Your Land’’ [ICERM 2011]. The spirit of community and and Why It Was the beautiful mathematics on display during ‘‘40 Years and Counting: AWM’s Celebration of Women in Mathematics’’ are truly a triumph for the organization and for women in Founded, and Why mathematics. It’s Still Needed in the 21st Century SARAH J. GREENWALD,ANNE M. LEGGETT, AND JILL E. THOMLEY This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of ‘‘mathematical community’’ is Participants from the Special Session in Number Theory at the broadest: ‘‘schools’’ of mathematics, circles of AWM’s 40th Anniversary Celebration. Back row: Cristina Ballantine, Melanie Matchett Wood, Jackie Anderson, Alina correspondence, mathematical societies, student Bucur, Ekin Ozman, Adriana Salerno, Laura Hall-Seelig, Li-Mei organizations, extra-curricular educational activities Lim, Michelle Manes, Kristin Lauter; Middle row: Brooke Feigon, Jessica Libertini-Mikhaylov, Jen Balakrishnan, Renate (math camps, math museums, math clubs), and more. Scheidler; Front row: Lola Thompson, Hatice Sahinoglu, Bianca Viray, Alice Silverberg, Nadia Heninger. (Photo Cour- What we say about the communities is just as tesy of Kiran Kedlaya.) unrestricted. -
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 -
Arxiv:2107.06030V2 [Math.HO] 18 Jul 2021 Jonathan Michael Borwein
Jonathan Michael Borwein 1951 { 2016: Life and Legacy Richard P. Brent∗ Abstract Jonathan M. Borwein (1951{2016) was a prolific mathematician whose career spanned several countries (UK, Canada, USA, Australia) and whose many interests included analysis, optimisation, number theory, special functions, experimental mathematics, mathematical finance, mathematical education, and visualisation. We describe his life and legacy, and give an annotated bibliography of some of his most significant books and papers. 1 Life and Family Jonathan (Jon) Michael Borwein was born in St Andrews, Scotland, on 20 May 1951. He was the first of three children of David Borwein (1924{2021) and Bessie Borwein (n´eeFlax). It was an itinerant academic family. Both Jon's father David and his younger brother Peter Borwein (1953{2020) are well-known mathematicians and occasional co-authors of Jon. His mother Bessie is a former professor of anatomy. The Borweins have an Ashkenazy Jewish background. Jon's father was born in Lithuania, moved in 1930 with arXiv:2107.06030v4 [math.HO] 15 Sep 2021 his family to South Africa (where he met his future wife Bessie), and moved with Bessie to the UK in 1948. There he obtained a PhD (London) and then a Lectureship in St Andrews, Scotland, where Jon was born and went to school at Madras College. The family, including Jon and his two siblings, moved to Ontario, Canada, in 1963. In 1971 Jon graduated with a BA (Hons ∗Mathematical Sciences Institute, Australian National University, Canberra, ACT. Email: <[email protected]>. 1 Math) from the University of Western Ontario. It was in Ontario that Jon met his future wife and lifelong partner Judith (n´eeRoots). -
June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings for MATHEMATICS 2014 and Events Following a Very Generous Tions Open in Late 2014
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 437 June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings FOR MATHEMATICS 2014 and Events Following a very generous tions open in late 2014. The prize Monday 16 June donation made by Professor may be awarded to either a single Midlands Regional Meeting, Loughborough Geoffrey Shephard, the London winner or jointly to collaborators. page 11 Mathematical Society will, in 2015, The mathematical contribution Friday 4 July introduce a new prize. The prize, to which an award will be made Graduate Student to be known as the Shephard must be published, though there Meeting, Prize will be awarded bienni- is no requirement that the pub- London ally. The award will be made to lication be in an LMS-published page 8 a mathematician (or mathemati- journal. Friday 4 July cians) based in the UK in recog- Professor Shephard himself is 1 Society Meeting nition of a specific contribution Professor of Mathematics at the Hardy Lecture to mathematics with a strong University of East Anglia whose London intuitive component which can be main fields of interest are in page 9 explained to those with little or convex geometry and tessella- Wednesday 9 July no knowledge of university math- tions. Professor Shephard is one LMS Popular Lectures ematics, though the work itself of the longest-standing members London may involve more advanced ideas. of the LMS, having given more page 17 The Society now actively en- than sixty years of membership. Tuesday 19 August courages members to consider The Society wishes to place on LMS Meeting and Reception nominees who could be put record its thanks for his support ICM 2014, Seoul forward for the award of a in the establishment of the new page 11 Shephard Prize when nomina- prize. -
FIELDS MEDAL for Mathematical Efforts R
Recognizing the Real and the Potential: FIELDS MEDAL for Mathematical Efforts R Fields Medal recipients since inception Year Winners 1936 Lars Valerian Ahlfors (Harvard University) (April 18, 1907 – October 11, 1996) Jesse Douglas (Massachusetts Institute of Technology) (July 3, 1897 – September 7, 1965) 1950 Atle Selberg (Institute for Advanced Study, Princeton) (June 14, 1917 – August 6, 2007) 1954 Kunihiko Kodaira (Princeton University) (March 16, 1915 – July 26, 1997) 1962 John Willard Milnor (Princeton University) (born February 20, 1931) The Fields Medal 1966 Paul Joseph Cohen (Stanford University) (April 2, 1934 – March 23, 2007) Stephen Smale (University of California, Berkeley) (born July 15, 1930) is awarded 1970 Heisuke Hironaka (Harvard University) (born April 9, 1931) every four years 1974 David Bryant Mumford (Harvard University) (born June 11, 1937) 1978 Charles Louis Fefferman (Princeton University) (born April 18, 1949) on the occasion of the Daniel G. Quillen (Massachusetts Institute of Technology) (June 22, 1940 – April 30, 2011) International Congress 1982 William P. Thurston (Princeton University) (October 30, 1946 – August 21, 2012) Shing-Tung Yau (Institute for Advanced Study, Princeton) (born April 4, 1949) of Mathematicians 1986 Gerd Faltings (Princeton University) (born July 28, 1954) to recognize Michael Freedman (University of California, San Diego) (born April 21, 1951) 1990 Vaughan Jones (University of California, Berkeley) (born December 31, 1952) outstanding Edward Witten (Institute for Advanced Study, -
Institut Des Hautes Ét Udes Scientifiques
InstItut des Hautes É t u d e s scIentIfIques A foundation in the public interest since 1981 2 | IHES IHES | 3 Contents A VISIONARY PROJECT, FOR EXCELLENCE IN SCIENCE P. 5 Editorial P. 6 Founder P. 7 Permanent professors A MODERN-DAY THELEMA FOR A GLOBAL SCIENTIFIC COMMUNITY P. 8 Research P. 9 Visitors P. 10 Events P. 11 International INDEPENDENCE AND FREEDOM, THE INSTITUTE’S TWO OPERATIONAL PILLARS P. 12 Finance P. 13 Governance P. 14 Members P. 15 Tax benefits The Marilyn and James Simons Conference Center The aim of the Foundation known as ‘Institut des Hautes Études Scientifiques’ is to enable and encourage theoretical scientific research (…). [Its] activity consists mainly in providing the Institute’s professors and researchers, both permanent and invited, with the resources required to undertake disinterested IHES February 2016 Content: IHES Communication Department – Translation: Hélène Wilkinson – Design: blossom-creation.com research. Photo Credits: Valérie Touchant-Landais / IHES, Marie-Claude Vergne / IHES – Cover: unigma All rights reserved Extract from the statutes of the Institut des Hautes Études Scientifiques, 1958. 4 | IHES IHES | 5 A visionary project, for excellence in science Editorial Emmanuel Ullmo, Mathematician, IHES Director A single scientific program: curiosity. A single selection criterion: excellence. The Institut des Hautes Études Scientifiques is an international mathematics and theoretical physics research center. Free of teaching duties and administrative tasks, its professors and visitors undertake research in complete independence and total freedom, at the highest international level. Ever since it was created, IHES has cultivated interdisciplinarity. The constant dialogue between mathematicians and theoretical physicists has led to particularly rich interactions. -
Twenty Female Mathematicians Hollis Williams
Twenty Female Mathematicians Hollis Williams Acknowledgements The author would like to thank Alba Carballo González for support and encouragement. 1 Table of Contents Sofia Kovalevskaya ................................................................................................................................. 4 Emmy Noether ..................................................................................................................................... 16 Mary Cartwright ................................................................................................................................... 26 Julia Robinson ....................................................................................................................................... 36 Olga Ladyzhenskaya ............................................................................................................................. 46 Yvonne Choquet-Bruhat ....................................................................................................................... 56 Olga Oleinik .......................................................................................................................................... 67 Charlotte Fischer .................................................................................................................................. 77 Karen Uhlenbeck .................................................................................................................................. 87 Krystyna Kuperberg ............................................................................................................................. -
2019 Symposium Schedule of Events and Abstracts
2019 AWM Research Symposium Schedule Rice University, Houston Texas Friday, April 5, 2019 5:00-8:00pm Informal Opening Reception Outside Valhalla Hall | Rice University Saturday, April 6, 2019 8:00-8:30am Registration and Continental Breakfast (Duncan Hall) 8:30-8.45am Welcoming Remarks: Ruth Haas, AWM President, and Ami Radunskaya, AWM Past-President (McMurtry Auditorium, Duncan Hall) 8:45-9:30am Plenary Lecture: Chelsea Walton, University of Illinois Title: Quantum Symmetry Location: McMurtry Auditorium, Duncan Hall 9:30-10:15 Exhibits and Coffee (Martel Atrium, Duncan Hall) 10:15-12:15 Research Sessions (expanded below) ACxx: Women in Algebraic Combinatorics, I (Keck 105) Analysis and Numerical Methods for Kinetic Transport and Related Models, I (Duncan Hall 1046) Applied and Computational Harmonic Analysis, I (Duncan Hall 1075) Combinatorial Commutative Algebra, I (Hermann Brown 227) WICA: Women in Commutative Algebra, I (Herzstein 212) Education Partnerships: University Mathematics Faculty and K-12 Mathematics Teachers (Herzstein 210) New Advances in Symplectic and Contact Topology, I (Hermann Brown 423) Topology of 3- and 4-Manifolds, I (Hermann Brown 427) WIC: Women in Control, I (Duncan Hall 1042) WIMM: Women in Mathematics of Materials, I (Herzstein 211) WINASC: Women in Numerical Analysis and Scientific Computing, I (Duncan Hall 1064) WinCompTop: Women in Computational Topology, I (Keck 100) WINART: Women in Noncommutative Algebra and Representation Theory, I (Keck 107) WIN: Women in Numbers, I (Herman Brown 453) WiSh: -
The Complexity Zoo
The Complexity Zoo Scott Aaronson www.ScottAaronson.com LATEX Translation by Chris Bourke [email protected] 417 classes and counting 1 Contents 1 About This Document 3 2 Introductory Essay 4 2.1 Recommended Further Reading ......................... 4 2.2 Other Theory Compendia ............................ 5 2.3 Errors? ....................................... 5 3 Pronunciation Guide 6 4 Complexity Classes 10 5 Special Zoo Exhibit: Classes of Quantum States and Probability Distribu- tions 110 6 Acknowledgements 116 7 Bibliography 117 2 1 About This Document What is this? Well its a PDF version of the website www.ComplexityZoo.com typeset in LATEX using the complexity package. Well, what’s that? The original Complexity Zoo is a website created by Scott Aaronson which contains a (more or less) comprehensive list of Complexity Classes studied in the area of theoretical computer science known as Computa- tional Complexity. I took on the (mostly painless, thank god for regular expressions) task of translating the Zoo’s HTML code to LATEX for two reasons. First, as a regular Zoo patron, I thought, “what better way to honor such an endeavor than to spruce up the cages a bit and typeset them all in beautiful LATEX.” Second, I thought it would be a perfect project to develop complexity, a LATEX pack- age I’ve created that defines commands to typeset (almost) all of the complexity classes you’ll find here (along with some handy options that allow you to conveniently change the fonts with a single option parameters). To get the package, visit my own home page at http://www.cse.unl.edu/~cbourke/. -
Opening Ceremony
Opening ceremony Sir John Ball, President of the International Mathematical Union Your Majesty, Señor Ruiz Gallardón, Señora Cabrera, Señora Aguirre, Professor Manuel de León, Distinguished guests, Ladies and gentlemen, ¡Bienvenidos al ICM dos mil seis! Welcome to ICM 2006, the 25th International Congress of Mathematicians, and the first ICM to be held in Spain. We offer our heartfelt thanks to the Spanish nation, so rich in history and culture, for its invitation to Madrid. We greatly appreciate that His Majesty King Juan Carlos is honouring mathematics by His presence here today. While celebrating this feast of mathematics, with the many talking-points that it will provide, it is worth reflecting on the ways in which our community functions. Mathematics is a profession of high standards and integrity. We freely discuss our work with others without fear of it being stolen, and research is communicated openly prior to formal publication. Editorial procedures are fair and proper, and work gains its reputation through merit and not by how it is promoted. These are the norms operated by the vast majority of mathematicians. The exceptions are rare, and they are noticed. Mathematics has a strong record of service, freely given. We see this in the time and care spent in the refereeing of papers and other forms of peer review. We see it in the running of mathematical societies and journals, in the provision of free mathematical software and teaching resources, and in the various projects world-wide to improve electronic access to the mathematical literature, old and new. We see it in the nurturing of students beyond the call of duty.