Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics)

Free download. Book file PDF easily for everyone and every device. You can download and read online Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics) file PDF Book only if you are registered here. And also you can download or read online all Book PDF file that related with Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics) book. Happy reading Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics) Bookeveryone. Download file Free Book PDF Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics) at Complete PDF Library. This Book have some digital formats such us :paperbook, ebook, kindle, epub, fb2 and another formats. Here is The CompletePDF Book Library. It's free to register here to get Book file PDF Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics) Pocket Guide.

Mathematical physics is one of the focus of research at BCAM. For more information, contact recruitment bcamath. Applications in all areas of mathematics are welcome. Applications should be submitted electronically through mathjobs. Additionally, applicants should arrange for 3 or more letters of recommendation to be sent through mathjobs. For full consideration, applications must arrive by November 15, Contact email: mat. This is a two year position with attractive salary and funds for traveling, but no teaching load. We expect: 1.

A PhD in mathematical analysis, ideally on a topic from mathematical quantum mechanics spectral theory, quantum dynamics, open quantum systems. Willingness to participate in the activities of the research training group. Good knowledge of the English language knowledge of German is helpful but not required.

Applications letter with CV, list of publications, names of references are to be sent to griesemer mathematik.

These are three-year positions with attractive salary, funds for traveling and no teaching load. Given good knowledge of English, knowledge of the German language is not required. All further details background requirements, application documents, application address can be found at:. The target date for applications is July 18th, The successful candidate will pursue an internationally high-end research agenda in the field of mathematical physics with connections to the DFG research training group ''Spectral theory and dynamics of quantum systems''. The willingness to acquire research grants, also in collaborations, and to contribute to the teaching for the bachelor and master programs in ''Mathematics'', in the long run also in German, are expected.

A formal requirement for appointment is the "Habilitation" or equivalent scientific and educational experience. The University of Tuebingen is committed to strengthen the proportion of women in research and teaching, and strongly encourages applications of qualified female scientists. Applicants with disabilities who possess equivalent qualifications will be given preferential treatment.

Preferred areas of interest include, but are not limited to partial differential equations, nonlinear functional analysis, differential equations and dynamical systems, and random processes. This is a full-time employment on a two year contract with the possibility for renewal. Expected starting date is negotiable, between October 1, , and January 1, Requirements: Ph. Signed application in paper form, accompanied by copies of the university and Ph. The program will mostly focus on the transport properties of interacting fermionic systems via rigorous renormalization group methods, and on the derivation of effective theories for many-body quantum systems, in suitable scaling regimes.

The starting date of the position is negotiable. The application should contain a CV with list of publications, and two recommendation letters. The applications should be sent to marcello. Applications are welcome until the position is filled. The successful candidate is expected to hold a PhD in theoretical physics or applied mathematics and have a high level of expertise in one or several of the following fields: modelling and scientific computing, probabilistic techniques in statistical physics, dynamical systems and chaos, PDE theory.

Application material: letter of motivation, CV and publication list one single. Two or three letters of recommendation. It offers an excellent and coherent graduate program in quantum science, including basic and specialized courses, annual summer schools. It also includes soft skills courses, industry contact, and an international and interdisciplinary environment in strong exchange with partner programs and centers. We welcome students with interest in atomic physics, quantum optics, solid state physics, material science, quantum information theory, and quantum many-body systems to apply.

Applicants must have a Master's degree or equivalent before September Deadline for application is May 15th, All PhD positions are funded and there are no tuition fees. Detailed information about the program can be found at: www.

algebraic approximation a guide to past and current solutions frontiers in mathematics Manual

These positions provide 5 year contracts and are reserved to researchers who obtained their PhD between Jan. A support letter from the host institution is needed. All applications must be submitted online at this URL. Information on how to apply can be found here. Deadline Nov. Deadline January 3, A one year postdoc position in mathematical physics will be opened at the Department of Mathematical Sciences, Aalborg University, starting from February 1st, , or soon thereafter.

The profile of the position is on quantum transport and scattering theory for many-body systems with local interactions or local non-linearities. Research topics: The goal of this CRC is to analytically understand, numerically simulate, and eventually manipulate wave propagation under realistic scenarios by intertwining analysis and numerics. Ikerbasque, the Basque Foundation for Science will launch in its annual call for attracting senior researchers to the Research Institutions in the Basque Country.

Further details about this call and Evaluation Process are available in the Call Specifications. BCAM, the Basque Center for Applied Mathematics , has opened an international call for 4 postdocs , in the areas of computational mathematics, mathematical modelling with multidisciplinary applications, mathematical physics, partial differential equations and numerics, and data science. Applications are to be submitted online at this URL. We are looking for an expert in Statistics or Probability Theory. The successful applicant has to be an internationally renowned researcher at a very high level.

The position is open from 1 January or as soon as possible thereafter. The Department of Mathematics and Statistics at Memorial University of Newfoundland, Canada, invites applications for a graduate student position at the Master's or Ph. The starting date is September or January Please contact Marco Merkli at merkli mun.

The deadline of application is May 31st, however, the position may be filled before this date. The deadline of application is May 31st, For any additional information, contact recruitment bcamath. From applicants we expect an excellent thesis in mathematical physics as well as the ability and interest to contribute to the activities of the participating research groups. Please send your application to stefan.

This call is open to both AIMS alumni and young African researchers from another academic institution in or outside Africa. Applicants should have a mathematical science background, and hold a PhD with additional years of research experience at the Post Doctorate level. This is a tenured, non-professorial teaching and research position with an 8 h teaching load in stochastics including, but not limited to Financial Mathematics. For the precise description in German only!

The Department of Mathematics www. Candidates should hold a PhD or equivalent in mathematics or physics, and should have demonstrated the ability to carry out independent research work. Willingness to teach at all university levels and to participate in collaborative work within mathematics and physics is expected. The new professor will be expected to teach undergraduate German or English and graduate courses English for students of mathematics, physics, and other natural sciences and engineering.

This assistant professorship has been established to promote the careers of younger scientists. The initial appointment is for four years with the possibility of renewal for an additional two-year period. Please apply online at www. Applications should include a curriculum vitae, a list of publications, and a statement of your future research and teaching interests.

The closing date for applications is 28 February ETH Zurich is an equal opportunity and family friendly employer and is further responsive to the needs of dual career couples. The chair belongs to the Analysis and Numerics group of the Department of Mathematics. Applicants are expected to complement the existing research activities of the group in a current topic of mathematical physics. Cooperation with other research groups within the Department and active participation in the current collaborative research center SFB-TR 12 and in the preparation of future proposals is encouraged.

Participation in the general teaching duties of the Department of Mathematics - including numerics - is expected. Deadline for application: September 12, Position starts: Commencing as soon as possible For the detailed announcement, see www. From applicants we expect an excellent thesis in mathematical physics or applied analysis as well as the ability and interest to contribute to the activities of the participating research groups.

The target date for applications is August 31, Send your application to griesemer mathematik. For more details see: www. A PhD position in mathematical physics will be available on October 15th at the University of Jena. The initial appointment is for 2 years with the possibility of extension. Please send applications including i CV ii letter of motivation or statement of research interests iii a letter of recommendation by August 22nd, , to David Hasler david. For more information see www. A postdoctoral position will be available starting October 1st, at the University of Geneva, in the group of J-P Eckmann.

The appointment is for 2 years with the possibility of a slight extension. Candidates should have completed a PhD, and should be interested in doing research, if possible in one of the directions pursued in Geneva. Interesting proposals in other, related directions are welcome. Contact J-P Eckmann dierectly if you are interested. A postdoctoral position in Mathematical Physics will be available on October 1st, at the University of Jena. The appointment is for 2 years with the possibility of extension. Please send applications including i CV ii list of publications ii statement of research interests iv a letter of recommendation before June 15, , to david.

For more information see the official announcementat. The research group in Mathematical Physics of the Pontificia Universidad Catolica de Chile PUC invites applications for a one year renewable to a second year postdoctoral fellowship beginning August 1, Applicants should have a recent Ph. The postdoctoral fellow is expected to interact with group members and should therefore be able to communicate in either English, Spanish or French.

The fellowship involves no teaching. The PUC is a leading Chilean research university with strong doctoral programs in mathematics and physics. A group headed by Rafael Benguria has been funded by the Chilean Government's Iniciativa Cientifica Milenio for a three year period beginning in January , to conduct research in Mathematical Physics. Other members of the group are G.

Raikov, R. Tiedra Math. Mantoiu Math. Depassier, and E. Stockmeyer Physics, PUC. Applicants should arrange that a curriculum vitae, a research statement and two letters evaluating the applicant's research be mailed to Rafael Benguria rbenguri puc. In addition, applicants are encouraged to contact relevant group members directly. For full consideration, complete application materials must arrive by May 31, Review of applications will begin on June 1st.

Interested candidates should submit, by email new. The registration period goes from February 10 to May 10, The initial effective date of the fellowships is July of and it is valid for one year, renewable up to three years, depending on the interest of both parties. Resources for participation in scientific events may be offered to selected candidates. A postdoctoral position in Mathematical Physics will be available on March 1, at the Technical University of Munich. The exact starting point after the above date is negotiable.

The appointment is for 2 years with the possibility of extension by one year. Transfer of methods between relativistic and non-relativistic QFT belongs to the scope of the project. The application should contain: i Letter of motivation. The applications should be sent to Wojciech Dybalski dybalski ma. The successful candidate should have interest in and basic knowledge of quantum mechanics and analysis. Research experience in one or more of the following fields is of advantage: quantum field theory relativistic or non-relativistic , spectral and scattering theory of quantum systems, operator algebras with applications in physics.

Lieb at Princeton is anticipated for the academic year , starting Sept 1. Applicants should have a Ph.

Positions in Mathematical Physics

Knowledge of quantum mechanics and analysis is necessary. There you will be asked to upload a recent CV, publications and contact information for 3 referees. Ask them to send their letters directly to lieb math. The initial appointment will be for one year with a possibility of an extension for up to two additional years depending on performance and available funds. The expected starting date is March 01, negotiable. The position is open until filled.

For further information please contact Prof. The position is funded by the Villum Foundation. Applicants are expected to have a background in Mathematical Analysis and Quantum Mechanics. The application itself should be filed electronically together with all supporting documentation. Moreover; BCAM is a host institution for several national and international research projects and also develops collaborative projects with Basque Industry. These Fellowships are directed to promising young researchers; they are intended to offer a track towards a PI role and independent research.

The targeted research area for this position is one or more of: mathematical relativity, classical and quantum field theory, string theory, topological field theory, integrable systems, differential geometry, mechanics and dynamical systems, geometric methods in physics, or a closely related area.

Preference will be given to candidates with postdoctoral experience and a track record of publications in mathematical physics. Research activities which incorporate computer algebra techniques are desirable. Candidates should be able to teach a wide variety of physics courses - and possibly some mathematics courses - at the undergraduate and graduate levels. The successful candidate will support development of a new interdisciplinary PhD program in mathematical physics.

Applicants must have a terminal degree in Physics or a closely related field. A complete application includes: a letter of application stating qualifications and fit to this position; a curriculum vitae; a statement of research interests; a statement of teaching philosophy; and at least three letters of reference. Review of applications will begin December 1.

The Department currently has 15 full-time faculty, about undergraduate majors, and about 30, mostly PhD, graduate students. Based in Logan perennially rated as one the safest communities in America , USU is surrounded by spectacular mountains offering a wide range of outdoor activities. Located eighty miles north of Salt Lake City, Logan is within an easy drive of five national parks and numerous other historical and recreational sites. Logan offers affordable housing, excellent health care facilities, and a family-friendly environment.

Until filled Postdoctoral positions with starting date Sept. For questions please contact Jan Philip Solovej solovej math. The deadline for applications is September 14, Please send applications including a CV and a statement of research interests and two letters of recommendation to manuela. For more information see the official announcement. The deadline for applications is August 31, For more information see: www.

12 th (NCERT) Mathematics-APPLICATION OF DERIVATIVES (CALCULUS) - EXERCISE-6.4 - Pathshala ( Hindi )

The deadline for applications is July 31, This professorship has been established within the framework of the German Excellence Initiative, and it is to play a major role in connecting research in the two departments. Applicants should have made important, internationally recognized contributions to mathematical physics. All subfields of mathematical physics will be considered. Special attention will be given to candidates who can demonstrate their ability to enhance and complement the existing ties between mathematics and physics at Heidelberg University, for instance, in mathematical aspects of string theory or of complex physical systems.

If you want to announce an available position on this site, please read the guidelines. The applications including 1. Disabled candidates will be given preference over other equally qualified applicants. The application should contain a CV, a list of publication, a short research statement and 3 names of people who could provide a letter of recommendation Contact: Mathieu Lewin, mathieu.

Israel The Faculty of Sciences at H. We seek postdoctoral researchers to work in the area of wave phenomena. Your application and all supporting documents must be submitted no later than April, 1st The successful candidate will not have any teaching obligations Applications: Deadline for the first call of the application is February 28th, The applicants should arrange for at least two letters of recommendation, to be sent directly to Ms.

Send applications to: battiato. Deadline for submission: September 20 , [UTC] For more information, contact recruitment bcamath. Deadline for submissions is April 4th at CET. Starting date: July 1st, , or later.

Original Research ARTICLE

Applications will be considered until all positions are filled. The deadline for applications is September 10, , CET. The deadline for applications is July 7, The deadline for applications is June 29, , CET. April 30, Associate professorship in statistics or probability at University of Copenhagen We are looking for an expert in Statistics or Probability Theory. September 25, Graduate student position at Memorial University The Department of Mathematics and Statistics at Memorial University of Newfoundland, Canada, invites applications for a graduate student position at the Master's or Ph.

The deadline for applications is April 13th, , CET. Feb 28, The newly formed Michigan State University Institute for Mathematical Physics will have 2 postdoctoral positions available beginning Fall semester for new or recent Ph. Details may be found on mathjobs. The deadline for applications for these positions is December 31, The Department welcomes applications at the Assistant Professor level, but more senior applicants will also be considered. The Department is specifically encouraging applications in the following areas: geometric analysis, analysis of mathematical physics, microlocal analysis, spectral theory, stochastic and randomly forced PDEs.


  • Sanitarium Magazine Issue #1: Bringing you Horror and Dark Fiction, One Case at a Time?
  • Department of Mathematics.
  • Algebraic Approximation: A Guide to Past and Current Solutions.
  • Member Biographies.
  • Now Culture lit mag.
  • Dont Let Tears Kiss My Face;
  • Auto-Validating Numerical Methods : Warwick Tucker : .

Candidates must have a doctoral degree at the date of appointment, and must have demonstrated excellence in mathematical research. They must also have the desire and potential to contribute to the educational programs of the Department at the graduate and undergraduate levels. Applications should be made through MathJobs. Org Position ID: McGill-ANPDE and must include a curriculum vitae, a list of publications, a research outline, a teaching statement which includes an account of teaching experience, and at least four references with one addressing the teaching record.

Candidates are also encouraged to provide web links for up to three selected reprints or preprints, or to upload them to MathJobs. Candidates must ensure that letters of reference are submitted, preferably through mathjobs. For further details or clarifications, please email analysis. PostDoc position in the Mathematical Physics group. The position is for a duration of 6 months, during the year with February 1st being the earliest possible start date.

The successful candidate is expected to enter into active collaboration with members of the group. Applications should be submitted to Jacob Schach Moller at the email address: jacob math. Questions regarding the position may be submitted to the same address. The deadline for application is December 15th, Dec 15, A postdoctoral position is open with the mathematical-physics group of the Nuclear Physics Institute ASCR, a constituent of the Doppler Institute , being oriented at investigation quantum systems of nontrivial geometry and topology, their spectral and transport properties, spectral geometry, models using non-selfadjoint operators, and related topics.

The offered salary is CZK 30 thousands monthly before tax, a contribution to the accommodation expenses is possible. The position is for two years and can be extended. A successful candidate is supposed to demonstrate - a recent PhD in theoretical or mathematical physics - item an international research experience - publications in recognized mathematical-physics journals Familiarity with areas of spectral theory, semiclassical analysis, and partial differential equations is considered as an advantage. Qualified female candidates are particularly encouraged to apply.

Nov 15, The Department of Mathematics and the Institute of Physics of the Pontificia Universidad Catolica de Chile invite applications for a tenure track position at the Assistant or Associate Professor level beginning preferably in March, Applicants should have a phD in Mathematics or in Physics, an outstanding potential in research and a strong commitment to teaching. Candidates are expected to be actively doing research in the area of Mathematical Physics and to have the potential of interaction with some of the established research groups both in the Department of Mathematics and in the Institute of Physics.

The teaching load for this position consists of three one-semester courses per year, reduced to two courses during the first two years. Candidates are expected to be able to teach courses both in standard Bachelors in Physics and in Mathematics. Moving expenses will be covered by the University. Furthermore, there exists an established system of state funded research grants in Chile. His research interests include nonlinear Fourier analysis, wavelet theory, singular integrals, numerical analysis and scattering theory, and real and complex analysis.

Recommended for you

He is also interested in new mathematical tools for efficient computation and transcriptions of physical data, as well as their applications to numerical analysis, feature extraction recognition, and denoising. He is currently developing analysis tools for spectrometric diagnostics and hyperspectral imaging.

He received his Ph. David Chu is the President of the Institute for Defense Analyses, a non-profit focused on providing federally funded research and development on national security issues and challenges. He is also interested in dynamical systems and meteorology. Mark L. He received his B. He received an Alfred P. Generally, she studies data mining, machine learning, and statistical relational learning and their alignment with business problems.

Specifically, she researches the value to companies of mining data on how consumers interact with each other on online platforms — for targeted marketing, advertising, health, and fraud detection purposes. Her current research focuses on the interactions between TV content and online behaviors. Hill holds a B. She received her B. Her research contributions are in physical algorithms and their applications in robotics robot motion planning, hybrid systems, formal methods in robotics, assembly planning, micromanipulation, and flexible object manipulation , as well as in computational structural biology, translational bioinformatics, and biomedical informatics modeling of proteins and biomolecular interactions, large-scale functional annotation of proteins, computer-assisted drug design, and the integration of biological and biomedical data for improving human health.

Kavraki has authored more than peer-reviewed journal and conference publications and is one of the authors of the widely used robotics textbook titled Principles of Robot Motion, published by MIT Press. Work in her group during the past five years has produced the Open Motion Planning Library OMPL , an open-source library of motion planning algorithms. The library is heavily used in industry and in academia both for robotics and bioinformatics applications.

Tamara Kolda is a distinguished member of the technical staff at Sandia National Laboratories. She has led numerous projects in computational science and data analysis on topics in multilinear algebra and tensor decompositions, graph models and algorithms, data mining, optimization, nonlinear solvers, parallel computing, and the design of scientific software.

Her work has been cited more than 13, times. Joseph A. He spent the previous 25 years at Morgan Stanley Dean Witter, where he was responsible for analytic research and the valuation of derivatives. Langsam received a Ph. He is the author of books on relational databases, logic programming, and object-oriented databases, as well as papers in database theory, object-oriented technology, scientific databases, and dataspace management.

He is a recognized expert on the challenges of large-scale data in the sciences. He holds a dual B. Her research focuses on numerical algorithms and software for the parallel solution of large-scale scientific applications involving nonlinear partial differential equations in the PETSc library. McInnes co-leads the multi-institutional IDEAS productivity project, which is working to improve software productivity and sustainability—key elements of overall scientific productivity.

She also co-leads work on the Extreme-scale Scientific Software Development Kit xSDK , a collaboration toward an ecosystem of interoperable software developed by diverse, independent teams throughout the high-performance computing community. Will start out up in the Atacama desert. Update : John Horgan has an interview with Peter Shor. My impression, although I may be wrong about this, is that in the past, one way that physicists made advances is by coming up with all kinds of totally crazy ideas, and keeping only the ones that agreed with experiment.

I think a more important problem is this sociological process leads high-energy physicists to collectively accept ideas prematurely, when there is still very little evidence in favor of them. Then the peer review process leads the funding agencies to mainly fund people who believe in these ideas when there is no guarantee that it is correct, and any alternatives to these ideas are for the most part neglected.

But why would you want to do that anyway? He realizes that his problem is that he had not been keeping separate two distinct things: the quantum mechanical description of a system, and the every-day description of physical objects in terms of approximate classical notions. That is an example of doublethink, of importing into the world of quantum mechanics our normal conception of reality — for the location of an object is a hidden variable, a property of the object … and the new science of experimental metaphysics has taught us that hidden variables do not exist.

You will only get non-locality if you couple to a non-local such system. For specific numbers, see for instance page 20 of this presentation , which shows numbers for the DOE HEP budget in recent years. The pattern for FY looks the same: a huge proposed decrease, and a huge likely increase see the number for the House Mark. The result of all this is that far greater funds are available than expected during the last P5 planning exercise, so instead of having to make the difficult decisions P5 expected, a wider list of projects can be funded.

For mathematicians;. But — unlike many who follow number theory at a distance — they were certainly aware that a proof like the one Wiles published is not meant to be treated as a self-contained artifact. Taking a look at the page describing the motivation for the Xena Project , I confess to finding it unconvincing. The complaints about holes in the math literature e.

For some cutting-edge number theory, with no computers in sight, see the lecture notes from a recent workshop on geometrization of local Langlands. Talagrand in recent years has been working on writing up a book on quantum field theory for mathematicians, and I see that Sourav Chatterjee last fall taught a course based on it, producing lecture notes available here.

For a wonderful recent interview with Talagrand, see here. I first got to know Michel when he started sending me very helpful comments and corrections on my QM book when it was a work in progress. Update : For more about the Michael Harris vs. Kevin Buzzard argument, see here , or plan on attending their face-off in Paris next week. The topic of the book is one close to my heart, the relationship of mathematics and physics. This surprising congruence between the deepest ideas in two seemingly different fields strongly indicates that they share an unexpected unity.

As fundamental physics reaches technological limits on the experimental side, investigating the underlying mathematical structures may be the best and only route open to further progress. Much of the book is historical and often Anglo-centric , beginning with Newton, a figure who made huge tightly intertwined advances in both mathematics and physics. Farmelo then moves on to Maxwell, who also revolutionized physics while at the same time introducing important new mathematics into the subject. Dirac quickly arrived at what was, in effect, a manifesto for research into theoretical physics.

The two great pillars of modern physics, relativity and quantum theory, are deeply related to central modern ideas about mathematics, in particular, respectively, geometry and representation theory. While in the case of relativity the mathematics came first, for the case of quantum theory, the mathematics underlying the subject was mostly developed later.

Farmelo goes on to explain that relations between math and physics entered a fallow period during the s and s, but the advent of gauge theory and the Standard model led to a productive renewal of healthy relations during the s.


  • IAMP | International Association of Mathematical Physics;
  • Algebraic Approximation: A Guide to Past and Current Solutions | Jorge Bustamante | Springer.
  • SIAM Review!
  • Bestselling Series!
  • Publications - Dept of Mathematics, IISc: [email protected]

He does a good job of explaining how this came about, discussing in particular the central role played by Witten. The next to last chapter is about Nima Arkani-Hamed and the amplituhedron story, portrayed as the latest exciting development on the math-physics front. Farmelo is clearly enthralled by Arkani-Hamed and his intense enthusiasms. A major problem though with this book is that it pretty much completely avoids the big problem raised by the program of pursuing progress in fundamental physics through beautiful mathematics: how do you know whether people doing this are on the right track or headed down a blind alley?

Although this approach was unpopular among his peers, he was pioneering a method similar to what some of his most distinguished successors are now using successfully at the frontiers of research. He was seduced by a specific speculative idea about how to get unification out of mathematics, by using simple extensions of the differential geometry that he had such success with in the case of GR. In the public domain, the debate about the merits of the string framework has been raging for years, especially in print and online. Some of these onslaughts are useful correctives to the hype lavished on this programme and to the superciliousness of pronouncements made by some string although rarely by the best ones in my experience.

Experts on the string framework have every reason to be proud of the progress they have made, but until such time as experiments confirm its validity, there is no room for smugness. Yet I am often troubled by the dismissiveness of some of the critical commentators, especially those who write with a confidence that belies the evident slightness of their understanding of the subject they are attacking.

Opposing the view taken by leading theoreticians might be interpreted as a healthy disrespect for orthodoxy. However it may be part of the worrisomely common view that anyone can have a valid opinion on any subject, regardless of their technical knowledge and appreciation of it.

In scientific matter this trend is especially regrettable. The IAS is having a public event next week , convening a panel to discuss the math-physics issues brought up by the book. I may add something here about this after it happens. Looking back at expectations from 30 years ago, Witten said he had expected progress on understanding the laws and principles behind string theory, but that has not occurred. It includes:. He is confident that the beauty of the mathematics is significant in indicating that we are on the right track, and that eventually, even if we have to wait for many years, we will be able to test string theory against new experimental evidence.

Ultimately I am not sure, however, that he makes his case anything more than a matter of faith. Update : The Dijkgraaf-Witten conversation is available here. Some extracts from near the end. It depends on being lucky with experiment, I would say…. Graham Farmelo has posted a very interesting interview he did with Witten last year , as part of his promotion of his forthcoming book The Universe Speaks in Numbers. One surprising thing I learned from the interview is that Witten learned Calculus when he was 11 this would have been He quite liked that, but then lost interest in math for many years, since no one gave him more advanced material to study.

He ended up doing a Ph. If only back in someone had told Witten about linear algebra and quantum mechanics, the entire history of the subject could have been quite different. It seems quite possible that within 5 years he would have picked up quantum field theory and maybe started thinking about Yang-Mills generalizations of QED, perhaps, at 16, beating Weinberg and Salam to the electroweak theory. If he had done this at Princeton, he would have overlapped with John Schwarz, who surely would have then been more interested in pursuing gauge theory than string theory.

Do whatever it takes. I did though find some of the later parts of the interview quite depressing. Most disturbing, on the topic of the landscape he says that he has gone from finding it upsetting to reconciling himself to the idea. For years, whenever asked about how evidence could be found for string theory, he would point to the naturalness arguments indicating that something like SUSY had to happen at the electroweak scale.

Or has he just completely given up on that? Update : As explained in the comments, the advice to parents was not meant to be taken seriously.