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Amie Wilkinson 1
Amie Wilkinson 1 Amie Wilkinson Department of Mathematics, University of Chicago 5734 S. University Avenue Chicago, Illinois 60637 (773) 702-7337 [email protected] ACADEMIC POSITIONS • Professor of Mathematics, University of Chicago, 2012 { present. • Professor of Mathematics, Northwestern University, 2005 { 2012. • Associate Professor of Mathematics, Northwestern University, 2002 { 2005. • Assistant Professor of Mathematics, Northwestern University, 1999 { 2002. • Boas Assistant Professor of Mathematics, Northwestern University, 1996 { 1999. • Benjamin Peirce Instructor, Harvard University, 1995 { 1996. Visiting Positions • Visiting Professor, University of Chicago, Fall and Spring Quarters 2003{2004, Fall Quarter 2011. • Professeur Invit´e, Universit´ede Bourgogne, May 2002 and Sept 2003. • Member, Institut des Hautes Etudes Scientifiques (IHES), Summer 1993, 1996, 1998. • Visitor, IBM T.J. Watson Labs, Yorktown NY, Winter 1992 and 1994, Summer 1997, 1998, 2000, and 2001. • Graduate Research Assistant, The Center for Nonlinear Studies, Los Alamos National Laboratories, Summer, 1992. EDUCATION • Ph.D. in Mathematics, University of California, Berkeley, May 1995 • A.B. in Mathematics, Harvard University, June 1989 DATE OF BIRTH April, 1968. U.S. citizen. Amie Wilkinson 2 RESEARCH INTERESTS • Ergodic theory and smooth dynamical systems • Geometry and regularity of foliations • Actions of discrete groups on manifolds • Dynamical systems of geometric origin GRANTS, FELLOWSHIPS AND AWARDS • Levi L. Conant Prize, 2020. • Foreign Member, Academia Europaea, 2019. • Fellow of the American Mathematical Society, 2013. • Ruth Lyttle Satter Prize, 2011. • NSF Grant \Ergodicity, Rigidity, and the Interplay Between Chaotic and Regular Dynamics" $758,242, 2018{2021. • NSF Grant \Innovations in Bright Beam Science" (co-PI) $680,000, 2015{2018. • NSF Grant \RTG: Geometry and topology at the University of Chicago" (co-PI) $1,377,340, 2014{2019. -
CURRENT EVENTS BULLETIN Friday, January 8, 2016, 1:00 PM to 5:00 PM Room 4C-3 Washington State Convention Center Joint Mathematics Meetings, Seattle, WA
A MERICAN M ATHEMATICAL S OCIETY CURRENT EVENTS BULLETIN Friday, January 8, 2016, 1:00 PM to 5:00 PM Room 4C-3 Washington State Convention Center Joint Mathematics Meetings, Seattle, WA 1:00 PM Carina Curto, Pennsylvania State University What can topology tell us about the neural code? Surprising new applications of what used to be thought of as “pure” mathematics. 2:00 PM Yuval Peres, Microsoft Research and University of California, Berkeley, and Lionel Levine, Cornell University Laplacian growth, sandpiles and scaling limits Striking large-scale structure arising from simple cellular automata. 3:00 PM Timothy Gowers, Cambridge University Probabilistic combinatorics and the recent work of Peter Keevash The major existence conjecture for combinatorial designs has been proven! 4:00 PM Amie Wilkinson, University of Chicago What are Lyapunov exponents, and why are they interesting? A basic tool in understanding the predictability of physical systems, explained. Organized by David Eisenbud, Mathematical Sciences Research Institute Introduction to the Current Events Bulletin Will the Riemann Hypothesis be proved this week? What is the Geometric Langlands Conjecture about? How could you best exploit a stream of data flowing by too fast to capture? I think we mathematicians are provoked to ask such questions by our sense that underneath the vastness of mathematics is a fundamental unity allowing us to look into many different corners -- though we couldn't possibly work in all of them. I love the idea of having an expert explain such things to me in a brief, accessible way. And I, like most of us, love common-room gossip. -
Patent Filed, Commercialized & Granted Data
Granted IPR Legends Applied IPR Total IPR filed till date 1995 S.No. Inventors Title IPA Date Grant Date 1 Prof. P K Bhattacharya (ChE) Process for the Recovery of 814/DEL/1995 03.05.1995 189310 05.05.2005 Inorganic Sodium Compounds from Kraft Black Liquor 1996 S.No. Inventors Title IPA Date Grant Date 1 Dr. Sudipta Mukherjee (ME), A Novel Attachment for Affixing to 1321/DEL/1996 12.08.1996 192495 28.10.2005 Anupam Nagory (Student, ME) Luggage Articles 2 Prof. Kunal Ghosh (AE) A Device for Extracting Power from 2673/DEL/1996 02.12.1996 212643 10.12.2007 to-and-fro Wind 1997 S.No. Inventors Title IPA Date Grant Date 1 Dr. D Manjunath, Jayesh V Shah Split-table Atm Multicast Switch 983/DEL/1997 17.04.1997 233357 29.03.2009 1998 S.No. Inventors Title IPA Date Grant Date 1999 1 Prof. K. A. Padmanabhan, Dr. Rajat Portable Computer Prinet 1521/DEL/1999 06.12.1999 212999 20.12.2007 Moona, Mr. Rohit Toshniwal, Mr. Bipul Parua 2000 S.No. Inventors Title IPA Date Grant Date 1 Prof. S. SundarManoharan (Chem), A Magnetic Polymer Composition 858/DEL/2000 22.09.2000 216744 24.03.2008 Manju Lata Rao and Process for the Preparation of the Same 2 Prof. S. Sundar Manoharan (Chem) Magnetic Cro2 – Polymer 933/DEL/2000 22.09.2000 217159 27.03.2008 Composite Blends 3 Prof. S. Sundar Manoharan (Chem) A Magneto Conductive Polymer 859/DEL/2000 22.09.2000 216743 19.03.2008 Compositon for Read and Write Head and a Process for Preparation Thereof 4 Prof. -
President's Report
Newsletter Volume 43, No. 3 • mAY–JuNe 2013 PRESIDENT’S REPORT Greetings, once again, from 35,000 feet, returning home from a major AWM conference in Santa Clara, California. Many of you will recall the AWM 40th Anniversary conference held in 2011 at Brown University. The enthusiasm generat- The purpose of the Association ed by that conference gave rise to a plan to hold a series of biennial AWM Research for Women in Mathematics is Symposia around the country. The first of these, the AWM Research Symposium 2013, took place this weekend on the beautiful Santa Clara University campus. • to encourage women and girls to study and to have active careers The symposium attracted close to 150 participants. The program included 3 plenary in the mathematical sciences, and talks, 10 special sessions on a wide variety of topics, a contributed paper session, • to promote equal opportunity and poster sessions, a panel, and a banquet. The Santa Clara campus was in full bloom the equal treatment of women and and the weather was spectacular. Thankfully, the poster sessions and coffee breaks girls in the mathematical sciences. were held outside in a courtyard or those of us from more frigid climates might have been tempted to play hooky! The event opened with a plenary talk by Maryam Mirzakhani. Mirzakhani is a professor at Stanford and the recipient of multiple awards including the 2013 Ruth Lyttle Satter Prize. Her talk was entitled “On Random Hyperbolic Manifolds of Large Genus.” She began by describing how to associate a hyperbolic surface to a graph, then proceeded with a fascinating discussion of the metric properties of surfaces associated to random graphs. -
What Are Lyapunov Exponents, and Why Are They Interesting?
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 54, Number 1, January 2017, Pages 79–105 http://dx.doi.org/10.1090/bull/1552 Article electronically published on September 6, 2016 WHAT ARE LYAPUNOV EXPONENTS, AND WHY ARE THEY INTERESTING? AMIE WILKINSON Introduction At the 2014 International Congress of Mathematicians in Seoul, South Korea, Franco-Brazilian mathematician Artur Avila was awarded the Fields Medal for “his profound contributions to dynamical systems theory, which have changed the face of the field, using the powerful idea of renormalization as a unifying principle.”1 Although it is not explicitly mentioned in this citation, there is a second unify- ing concept in Avila’s work that is closely tied with renormalization: Lyapunov (or characteristic) exponents. Lyapunov exponents play a key role in three areas of Avila’s research: smooth ergodic theory, billiards and translation surfaces, and the spectral theory of 1-dimensional Schr¨odinger operators. Here we take the op- portunity to explore these areas and reveal some underlying themes connecting exponents, chaotic dynamics and renormalization. But first, what are Lyapunov exponents? Let’s begin by viewing them in one of their natural habitats: the iterated barycentric subdivision of a triangle. When the midpoint of each side of a triangle is connected to its opposite vertex by a line segment, the three resulting segments meet in a point in the interior of the triangle. The barycentric subdivision of a triangle is the collection of 6 smaller triangles determined by these segments and the edges of the original triangle: Figure 1. Barycentric subdivision. Received by the editors August 2, 2016. -
Looking at Earth: an Astronaut's Journey Induction Ceremony 2017
american academy of arts & sciences winter 2018 www.amacad.org Bulletin vol. lxxi, no. 2 Induction Ceremony 2017 Class Speakers: Jane Mayer, Ursula Burns, James P. Allison, Heather K. Gerken, and Gerald Chan Annual David M. Rubenstein Lecture Looking at Earth: An Astronaut’s Journey David M. Rubenstein and Kathryn D. Sullivan ALSO: How Are Humans Different from Other Great Apes?–Ajit Varki, Pascal Gagneux, and Fred H. Gage Advancing Higher Education in America–Monica Lozano, Robert J. Birgeneau, Bob Jacobsen, and Michael S. McPherson Redistricting and Representation–Patti B. Saris, Gary King, Jamal Greene, and Moon Duchin noteworthy Select Prizes and Andrea Bertozzi (University of James R. Downing (St. Jude Chil- Barbara Grosz (Harvard Univer- California, Los Angeles) was se- dren’s Research Hospital) was sity) is the recipient of the Life- Awards to Members lected as a 2017 Simons Investi- awarded the 2017 E. Donnall time Achievement Award of the gator by the Simons Foundation. Thomas Lecture and Prize by the Association for Computational American Society of Hematology. Linguistics. Nobel Prize in Chemistry, Clara D. Bloomfield (Ohio State 2017 University) is the recipient of the Carol Dweck (Stanford Univer- Christopher Hacon (University 2017 Robert A. Kyle Award for sity) was awarded the inaugural of Utah) was awarded the Break- Joachim Frank (Columbia Univer- Outstanding Clinician-Scientist, Yidan Prize. through Prize in Mathematics. sity) presented by the Mayo Clinic Di- vision of Hematology. Felton Earls (Harvard Univer- Naomi Halas (Rice University) sity) is the recipient of the 2018 was awarded the 2018 Julius Ed- Nobel Prize in Economic Emmanuel J. -
Design Programme Indian Institute of Technology Kanpur
Design Programme Indian Institute of Technology Kanpur Contents Overview 01- 38 Academic 39-44 Profile Achievements 45-78 Design Infrastructure 79-92 Proposal for Ph.D program 93-98 Vision 99-104 01 ew The design-phase of a product is like a womb of a mother where the most important attributes of a life are concieved. The designer is required to consider all stages of a product-life like manufacturing, marketing, maintenance, and the disposal after completion of product life-cycle. The design-phase, which is based on creativity, is often exciting and satisfying. But the designer has to work hard worrying about a large number of parameters of man. In Indian context, the design of products is still at an embryonic stage. The design- phase of a product is often neglected in lieu of manufacturing. A rapid growth of design activities in India is a must to bring the edge difference in the world of mass manufacturing and mass accessibility. The start of Design Programme at IIT Kanpur in the year 2001, is a step in this direction. overvi The Design Program at IIT-Kanpur was established with the objective of advancing our intellectual and scientific understanding of the theory and practice of design, along with the system of design process management and product semantics. The programme, since its inception in 2002, aimed at training post-graduate students in the technical, aesthetic and ergonomic practices of the field and to help them to comprehend the broader cultural issues associated with contemporary design. True to its interdisciplinary approach, the faculty members are from varied fields of engineering like mechanical, computer science, bio sciences, electrical and chemical engineering and humanities. -
FOCS 2005 Program SUNDAY October 23, 2005
FOCS 2005 Program SUNDAY October 23, 2005 Talks in Grand Ballroom, 17th floor Session 1: 8:50am – 10:10am Chair: Eva´ Tardos 8:50 Agnostically Learning Halfspaces Adam Kalai, Adam Klivans, Yishay Mansour and Rocco Servedio 9:10 Noise stability of functions with low influences: invari- ance and optimality The 46th Annual IEEE Symposium on Elchanan Mossel, Ryan O’Donnell and Krzysztof Foundations of Computer Science Oleszkiewicz October 22-25, 2005 Omni William Penn Hotel, 9:30 Every decision tree has an influential variable Pittsburgh, PA Ryan O’Donnell, Michael Saks, Oded Schramm and Rocco Servedio Sponsored by the IEEE Computer Society Technical Committee on Mathematical Foundations of Computing 9:50 Lower Bounds for the Noisy Broadcast Problem In cooperation with ACM SIGACT Navin Goyal, Guy Kindler and Michael Saks Break 10:10am – 10:30am FOCS ’05 gratefully acknowledges financial support from Microsoft Research, Yahoo! Research, and the CMU Aladdin center Session 2: 10:30am – 12:10pm Chair: Satish Rao SATURDAY October 22, 2005 10:30 The Unique Games Conjecture, Integrality Gap for Cut Problems and Embeddability of Negative Type Metrics Tutorials held at CMU University Center into `1 [Best paper award] Reception at Omni William Penn Hotel, Monongahela Room, Subhash Khot and Nisheeth Vishnoi 17th floor 10:50 The Closest Substring problem with small distances Tutorial 1: 1:30pm – 3:30pm Daniel Marx (McConomy Auditorium) Chair: Irit Dinur 11:10 Fitting tree metrics: Hierarchical clustering and Phy- logeny Subhash Khot Nir Ailon and Moses Charikar On the Unique Games Conjecture 11:30 Metric Embeddings with Relaxed Guarantees Break 3:30pm – 4:00pm Ittai Abraham, Yair Bartal, T-H. -
Hyberbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves CBMS-NSF REGIONAL CONFERENCE SERIES in APPLIED MATHEMATICS
Hyberbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS A series of lectures on topics of current research interest in applied mathematics under the direction of the Conference Board of the Mathematical Sciences, supported by the National Science Foundation and published by SIAM. GARRETT BIRKHOFF, The Numerical Solution of Elliptic Equations D. V. LINDLEY, Bayesian Statistics, A Review R. S. VARGA, Functional Analysis and Approximation Theory in Numerical Analysis R. R. BAHADUR, Some Limit Theorems in Statistics PATRICK BILLINGSLEY, Weak Convergence of Measures: Applications in Probability J. L. LIONS, Some Aspects of the Optimal Control of Distributed Parameter Systems ROGER PENROSE, Techniques of Differential Topology in Relativity HERMAN CHERNOFF, Sequential Analysis and Optimal Design J. DURBIN, Distribution Theory for Tests Based on the Sample Distribution Function SOL I. RUBINOW, Mathematical Problems in the Biological Sciences P. D. LAX, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves I. J. SCHOENBERG, Cardinal Spline Interpolation IVAN SINGER, The Theory of Best Approximation and Functional Analysis WERNER C. RHEINBOLDT, Methods of Solving Systems of Nonlinear Equations HANS F. WEINBERGER, Variational Methods for Eigenvalue Approximation R. TYRRELL ROCKAFELLAR, Conjugate Duality and Optimization SIR JAMES LIGHTHILL, Mathematical Biofluiddynamics GERARD SALTON, Theory of Indexing CATHLEEN S. MORAWETZ, Notes on Time Decay and Scattering for Some Hyperbolic Problems F. HOPPENSTEADT, Mathematical Theories of Populations: Demographics, Genetics and Epidemics RICHARD ASKEY, Orthogonal Polynomials and Special Functions L. E. PAYNE, Improperly Posed Problems in Partial Differential Equations S. ROSEN, Lectures on the Measurement and Evaluation of the Performance of Computing Systems HERBERT B. -
A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
Mathematics Calendar
Mathematics Calendar Please submit conference information for the Mathematics Calendar through the Mathematics Calendar submission form at http:// www.ams.org/cgi-bin/mathcal-submit.pl. The most comprehensive and up-to-date Mathematics Calendar information is available on the AMS website at http://www.ams.org/mathcal/. June 2014 Information: http://www.tesol.org/attend-and-learn/ online-courses-seminars/esl-for-the-secondary- 1–7 Modern Time-Frequency Analysis, Strobl, Austria. (Apr. 2013, mathematics-teacher. p. 429) * 2–30 Algorithmic Randomness, Institute for Mathematical Sciences, 2–5 WSCG 2014 - 22nd International Conference on Computer National University of Singapore, Singapore. Graphics, Visualization and Computer Vision 2014, Primavera Description: Activities 1. Informal Collaboration: June 2–8, 2014. 2. Hotel and Congress Centrum, Plzen (close to Prague), Czech Repub- Ninth International Conference on Computability, Complexity and lic. (Jan. 2014, p. 90) Randomness (CCR 2014): June 9–13, 2014. The conference series 2–6 AIM Workshop: Descriptive inner model theory, American “Computability, Complexity and Randomness” is centered on devel- Institute of Mathematics, Palo Alto, California. (Mar. 2014, p. 312) opments in Algorithmic Randomness, and the conference CCR 2014 2–6 Computational Nonlinear Algebra, Institute for Computational will be part of the IMS programme. The CCR has previously been held and Experimental Research in Mathematics, (ICERM), Brown Univer- in Cordoba 2004, in Buenos Aires 2007, in Nanjing 2008, in Luminy sity, Providence, Rhode Island. (Nov. 2013, p. 1398) 2009, in Notre Dame 2010, in Cape Town 2011, in Cambridge 2012, and in Moscow 2013; it will be held in Heidelberg 2015. 3. Informal 2–6 Conference on Ulam’s type stability, Rytro, Poland. -
Writing the History of Dynamical Systems and Chaos
Historia Mathematica 29 (2002), 273–339 doi:10.1006/hmat.2002.2351 Writing the History of Dynamical Systems and Chaos: View metadata, citation and similar papersLongue at core.ac.uk Dur´ee and Revolution, Disciplines and Cultures1 brought to you by CORE provided by Elsevier - Publisher Connector David Aubin Max-Planck Institut fur¨ Wissenschaftsgeschichte, Berlin, Germany E-mail: [email protected] and Amy Dahan Dalmedico Centre national de la recherche scientifique and Centre Alexandre-Koyre,´ Paris, France E-mail: [email protected] Between the late 1960s and the beginning of the 1980s, the wide recognition that simple dynamical laws could give rise to complex behaviors was sometimes hailed as a true scientific revolution impacting several disciplines, for which a striking label was coined—“chaos.” Mathematicians quickly pointed out that the purported revolution was relying on the abstract theory of dynamical systems founded in the late 19th century by Henri Poincar´e who had already reached a similar conclusion. In this paper, we flesh out the historiographical tensions arising from these confrontations: longue-duree´ history and revolution; abstract mathematics and the use of mathematical techniques in various other domains. After reviewing the historiography of dynamical systems theory from Poincar´e to the 1960s, we highlight the pioneering work of a few individuals (Steve Smale, Edward Lorenz, David Ruelle). We then go on to discuss the nature of the chaos phenomenon, which, we argue, was a conceptual reconfiguration as