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In Quest of Kurt Godel: Reflections I I of a Biographer 405 Editor'.S Lo~ , Amsy 2Oo Andymagzd John W Dawson J R

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In Quest of Kurt Godel: Reflections I I of a Biographer 405 Editor'.S Lo~ , Amsy 2Oo Andymagzd John W Dawson J R Working at the frontiers of knowledge Working at the University of Groningen (RUG) means working at the frontiers of knowledge. The RUG offers researchers and students the opportunity to expand those frontiers, to develop their talents and together with others realise top quali­ ty achievements. The RUG therefore deliberately opts for an interdisciplinary approach to knowledge. Discoveries are born and innovation realised at the interfaces between the various scientific fields. Researchers and students in Groningen bene­ fit from the rich assortment of disciplines that the RUG has built up since its founding nearly four hundred years ago. Knowledge is universal and transcends boundaries. The RUG has deliberately chosen to make a priority of intensive and worldwide cooperation with other leading universities and organisations. As well as being outward looking, the RUG is also closely involved with its own region where it is one of the largest employers. The universityis 22,500 students and 6,000 staff have a distinct academic identity, firmly rooted in the wider social context. They are a vital element of the vibrant city of Groningen - a great place for students and staff. Faculty of Mathematics and Natural - teaching experience is recommended Sciences - good organizational skills. The tenure trackers are expected to develop The closing date for appli cations is Two Tenure-Track their own line of research within a particular May 15, 2006. Positions for Assistant field. The appointment will be on a temporary Please send your written appli cation Professor for Dynamical basis for a maximum of 6 years. 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Additional information about vacancies The University of Groningen can offer The positions at the RUG is available on the university you a salary dependent on qualifications and - performing research in mathematics, in parti­ web site: work experience from € 4049 gross per month cular dynamical systems or applied analysis up to a maximum of € 4605 (scale 11 /12) for - teaching mathematics, including under­ a full-time job. { www.rug.nl ) graduate and service teaching, and the organization there of Information can be obtained from The RUG provides a special career - participating in supervision of MSc and PhD prof.dr. H.W. Broer, Dynamical Systems, advisory service for partners of new projects. phone +31 50 3633959/ 3939, staff who move to Groningen. e-mail < [email protected] > or Personal profile prof.dr. A.). van der Schaft, Applied Analysis, The RUG is an equal opportunities - PhD in the field of Dynamical Systems or phone +31 50 3633731/3939, employer. Because women are still Applied Analysis or related disciplines e-mail < [email protected] > underrepresented in a number of fields, - an excellent list of publications (at least 5 they are particularly encouraged to publications in international peer-reviewed apply. journals) - at least two years of international experience as a postdoc (industrial experience can partly compensate this requirement) - experience with grant proposals is recommended Rijksuniversiteit Groningen NEW f0 FORTHCOMING from Birkhiiuser Topics in the Theory of (a-winner afthe 2005 Ferran Sunyer i Balaguer Prize Studies in Lie Theory Algebraic Function Fields Perturbation Methods and Dedicated to A. Joseph on his GABRIEL DANIEL VILLA SALVADOR, CINVESTAV del lPN, Semilinear Elliptic Problems on Rn Sixtieth Birthday Mexico City, Mexico JOSEPH BERNSTEIN, Tel Aviv University, Israel; ANTONIO AMBROSETTI, ANDREA MALCHIODI, VLADIMIR HINICII, ANNA MELNIKOV, both, University of Algebraic function fields of one variable are used in both, SISSA, Trieste, Italy Haifa, Israel (Eds.) several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text applies This monograph addresses perturbation methods in Dedicated to Tony Joseph in honor of his 60th birhday, an arithmetic-algebraic viewpoint to the study of critical point theory. It particularly emphasizes this vo lume contains 2 surveys and 16 invited research function fields as part of the algebraic theory of applications such as semilinear elliptic problems on R", articles by distinguished experts in representation numbers. The author does not ignore the geometric and bifurcation from the essential spectrum, the prescribed theory, focusing on semisimple Lie algebras and quan­ analytic aspects of function fields, but focuses on an in­ scalar curvature problem, nonlinear Schrodinger tum groups. depth examination from a number-theoretic perspective. equations, and singularly perturbed elliptic problems in Contents: J. DIXMIER: ARecollection of Tony Joseph* Part 1: domains. The book's discussion of the abstract tool of The exposition explains both the similarities and Survey and Review* W. MCGOVERN: The work of Anthony perturbation methods in critical point theory is not Joseph in classical representation theory* D. FARKAS and fundamental differences between function fields and available elsewhere. G. LETZTER: Quantized representation theory following number fields, including many examples to motivate Joseph *Part II: Research Articles* J. ALEV and F. DUMAS: understanding and further study. The only prerequisites 2006/192 PP/ HARDCOVER Operateurs differentiels invariants et probleme de Noether * are a basic knowledge of field theory, complex analysis, ISBN 3-7643-7321-0/$59.95 A. BEILINSON: Langlands parameters for Heisenberg modu­ and some commutative algebra. The book can serve as a PROGRESS IN MATHEM ATICS, VO L. 240 les* A. BRAVERMAN and P. ETINGOF: ln stanton counting text for a graduate course in number theory or an via affine Lie algebras II * I. CHEREDNIK: Irreducibility of advanced graduate topics course. perfect representations of double affine Heeke algebras* The Congruences D. GAITSGORY and D. KAZHDAN: Algebraic groups over a 2006/APPROX. 685 PP., 20 ILLUS./HARDCOV ER 2-dimensionallocal field* A. JOSEPH: Modules with a Dema­ ISBN 0-8176-4480-6/$69.95 (TENT.) of a Finite Lattice zure flag * M. KASHIWARA, P. SCHAPIRA, F. IVORRA, FORTHCOMING IN THE A "Proof-by-Picture" Approach and I. WASCHKIES: Microlocalization of ind-sheaves * MATHEMATICS: THEORY AND APPLICATIONS SERIES GEORGE GRATZER, University of Manitoba, Winnipeg, Canada D. KAZHDAN and YA. VARSHAVSKY: Endoscopic decomposition of certain depth zero representations * In the past half-century, the study of congruence lattices A.A. KIRILLOV and L.G. RYBNIKOV: Odd fami ly algebras* has become a large and important field with a great B. KOSTANT and N. WALLACH: Gelfand- Zeitlin theory from number of interesting and deep results and many open the perspective of classical mechanics I * S. KUMAR and K.­ Introduction to H. NEEB: Extensions of algebraic groups* T. LEVASSEUR problems. This self-contained exposition by one of the Plane Algebraic Curves and J.T. STAFFORD: Differential operators and cohomology leading experts in lattice theory, George Gratzer, groups on the basic affine space* G. LUSZTIG: Aq -analogue ERNST KUNZ, Universitdt Regensburg, Germany; presents the major results on congruence lattices of of an identity of N. Wallach* L. MAKAR-LIMANOV: RICHARD G. BELSHOFF, Southwest Missouri State finite lattices featuring the author's signature "Proof-by­ Centralizers in the quantum plane algebra* M. NAZAROV and University, Springfield, MO (Translator) Picture" method and its conversion to transparencies. A. SERGEEV: Centralizer construction of the Yangian of the "{Tjhe reader is invited to learn some topics from The work contains complete proofs, an extensive queer Lie superalgebra * V. SCHECHTMAN: Definitio nova algebroidis verticiani commutative ring theory by mainly studying their bibliography and index, and nearly eighty open illustrations and applications in plane curve problems. Appropriate for a one-semester graduate 2006/520 PP., 2 ILLUS./HARDCOV ER theory .. .. The whole text is a real masterpiece of course in lattice theory, the book is also designed as a ISBN 0-8176-4342-7/$99.00 clarity, rigor, comprehension, methodical skill, practical reference for researchers studying lattices. PROGRESS IN MATHEMATICS, VO L. 243 algebraic and geometric motivation ... highly 2006/304 PP., 110 ILLUS./HARDCOVER enlightening, motivating and entertaining at the Birkhauser invites you to take part in our festschrift ISBN 0-8176-3224-7/$59.95 same time ... One simply cannot do better in writing sale. For a limited time, a 30% discount will be such a textbook." -Zentralbiatt Math (From a available on selected volumes. Use BB066 to get the review of the German edition) discount at www.birkhauser.com This work is an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra,
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