101. R&D: Institut Für Experimentelle Mathematics - Algebraic Number Theory Institute for Experimental Mathematics. Prof. Dr. G. Frey Prof. Dr. HG Rück, Institute for Experimental Mathematics/ algebraic number theory. Contact Prof. http://www.uni-essen.de/fet/fue/eng/fb06/frey.htm

University of Duisburg and Essen / Location Essen Institute for Experimental Mathematics Prof. Dr. G. Frey Institute for Experimental Mathematics/ Algebraic Number Theory Contact: Prof. Dr. G. Frey phone: 0201/183-7657/7656 fax: 0201/183-7669 phone: 0201/183-7655/7655 fax: 0201/183-7669 Research Profile: Algorithmic Number Theory Explicit Galois theory Two-dimensional Galois representations and the Artin conjecture Arithmetic analysis of Artin L-series Geometry of numbers. Arithmetic Geometry Arithmetic of Abelian varieties, in particular elliptic curves over number fields and finite fields Explicit equations for Abelian varieties of small dimension Algebraic coding theory. Links between Data Security and Strucutes of Number Theory Public key cryptosystems with elliptic curves. Publications:

102. Www.comp.metro-u.ac.jp/~m-kuri/sympo1202-e.htm www.comp.metrou.ac.jp/~m-kuri/sympo1203-e.htm algebraic number theoryalgebraic number theory. The lectures for MATH0053, algebraic number theory, February-May 2001, have now finished. Fairly complete http://www.comp.metro-u.ac.jp/~m-kuri/sympo1202-e.htm

Algebraic Number Theory and Related Topics" at RIMS, December 2 - 6, 2002 organizers: Masato Kurihara and Yuichiro Taguchi December 2 (Monday) A. Tamagawa (RIMS): Arithmetic geometry of coverings of curves in positive characteristic L. Weng (Kyushu Univ): New Non-abelian Zeta Functions M. Kida (Univ of Electro-Communications): PRIMES is in P (after Agrawal, Kayal and Saxena) December 3 (Tuesday) H. Furusho (RIMS): p-adic multiple zeta values T. Kashio (Kyoto Univ): p-adic analogue of Shintani's formula S. Kobayashi (Univ of Tokyo): Iwasawa theory for modular forms at supersingular primes H. Ichimura (Yokohama City Univ): On a normal integral basis problem over cyclotomic Z_p-extensions Y. Mizusawa (Waseda Univ): On the maximal unramified pro-2-extensions over cyclotomic Z_2-extensions of real quadratic fields December 4 (Wednesday) Y. Takeda (Kyushu Univ): Higher arithmetic K-theory M. Hanamura (Kyushu Univ): Polylogarithms and mixed motives Y. Takeda (Kyushu Univ):

103. Algebraic Number Theory: New & Used Books: Find The Lowest Price algebraic number theory Compare new and used books prices among 98 book stores in a click. Searched in books for algebraic number theory. http://www.fetchbook.info/Algebraic_Number_Theory.html

About Bookmark Recommend Us Enhance Your Site ... Help Keyword Title Author ISBN Searched in books for Algebraic Number Theory More than titles matched your search. Search took seconds. Algebraic Number Theory By Serge A. Lang Hardcover / February 1996 / 0387942254 Books Similar to Algebraic Number Theory Compare Prices Book Reviews Algebraic Number Theory By Edwin Weiss Paperback / July 1998 / 0486401898 Books Similar to Algebraic Number Theory Compare Prices Book Reviews Algebraic Number Theory By A. Frohlich M. J. Taylor Paperback / January 1994 / 0521438349 Books Similar to Algebraic Number Theory Compare Prices Book Reviews Algebraic Number Theory By Richard A. Mollin

104. Vajaitu, Marian Romanian Academy of Sciences. algebraic number theory, analytic number theory, class field theory and theory of algebraic functions. http://stoilow.imar.ro/~mvajaitu/

105. Algebra Page D. Harvard University (1987) Research algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and http://www.math.wisc.edu/~ono/algebra.html

Department of Mathematics Algebra, Combinatorics and Number Theory Van Vleck Hall Madison, WI 53706 Fax: 608 263 8891 Faculty. Faculty Research Interests. Emeriti Faculty. Postdoctoral Fellows and Visiting Faculty. ... Important Links. Faculty Eric Bach Professor, of Mathematics and Computer Science, Ph.D. UC Berkeley (1984) Research:Theoretical computer science and Computational Number Theory bach@cs.wisc.edu Georgia Benkart Professor, Ph.D. Yale University (1974) Research: Lie Theory, Quantum Groups and Representation Theory. benkart@math.wisc.edu Lev Borisov Assistant Professor, Ph.D. University of Michigan (1996) Research: Algebraic Geometry. borisov@math.wisc.edu Nigel Boston Professor, of Mathematics and Electrical and Computer Engineering, Ph. D. Harvard University (1987) Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. Richard A. Brualdi Professor, Ph.D. Syracuse University (1964) Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory

106. Wingberg, Kay Universit¤t Heidelberg. algebraic number theory, Iwasawa theory; arithmetic geometry; structure of profinite (or prop) groups. http://www.rzuser.uni-heidelberg.de/~gy8/agwingberg/wingberg.html

107. Studiegids Wiskunde 2003 (Algebraic Number Theory) algebraic number theory. algebraic topology - analyse 1 - analyse 2 - analyse 3 - analytic number theory - axiomatic set theory - calculus 1 - calculus 2 http://www.studiegids.sci.kun.nl/ned/wiskunde_2003/vakken/1270

Wiskunde 2003 Faculteit der Natuurwetenschappen, Wiskunde en Informatica home Universiteit Faculteit NWI Studiegidsen ... - algebraic geometry - algebraic number theory - algebraic topology - analyse 1 - analyse 2 - analyse 3 ... printer versie 10.0 ects Fall 2003 docent: prof.dr. F.J. Keune speciale website: Eerste bijeenkomst: in de eerste week van het semester / kwartaal tentamen:

108. Amy Glen : Euler’s Contribution To Number Theory Home Page. algebraic number theory. Biography. Euler s work on the solution to Diophantine equations marks the early history of algebraic number theory. http://www.maths.adelaide.edu.au/people/pscott/history/amy/Algebraic.html

Home Page Algebraic Number Theory Biography Useful Links Index Partitions of a Number ... Analytic Number Theory Euler's work on the solution to Diophantine equations marks the early history of algebraic number theory. A technique for finding integer solutions of equations of the form was one particular problem considered by Euler. After developing a method of solution, he specialized by setting a b = 2, and y 1 to solve . Euler first factored this equation over the complex numbers: and then used the arithmetic properties of the set: to solve the equation. (This was very bold of Euler since most mathematicians of that era were reluctant to use complex numbers in their research). He made the following two assumptions: (1) If are in with relatively prime (i.e. have no common factors) in and , then are cubes of numbers in (2) If u and v are relatively prime integers, then u and u are relatively prime in Under the above assumptions, Euler established that and for some integers a b and therefore so that . Expanding the right-hand side of , and equating real and imaginary parts, yields ; thus, it is easily deduced

109. The Assayer Algebraic Number Theory algebraic number theory. Author, Jerome William Hoffman, Entered, 200401-24 195915 by Ryanov. Edit, information about this book, Freedom, http://www.theassayer.org/cgi-bin/asbook.cgi?book=914

110. The Assayer Algebraic Number Theory algebraic number theory. Author, JS Milne, Entered, 200401-24 195351 by Ryanov. Edit, information about this book, Freedom, Copyrighted http://www.theassayer.org/cgi-bin/asbook.cgi?book=907

111. SS 2004: Algebraic Number Theory II Courses. algebraic number theory II. H. Koch Zahlentheorie, Vieweg, Braunschweig, 1997; S. Lang algebraic number theory, Grad. Texts Math., Bd. http://www.mathematik.uni-muenchen.de/~sommerh/Vorlesungen/AlgZahl2SS04/AlgZahl2

Courses Algebraic Number Theory II Summer semester 2004 Lecturer: Time: Wednesday, 9:15 am Room: 251 Contents: Having discussed the ideal-theoretic approach to algebraic number theory in the first part, we discuss in the second part the valuation-theoretic approach. To connect these two approaches, we assign to every prime ideal a valuation of the algebraic number field. By completion with respect to this valuation, we get new fields, whose properties we will investigate. streaming video References: H. Hasse: Zahlentheorie, Akademie-Verlag, Berlin, 1969 H. Koch: Zahlentheorie, Vieweg, Braunschweig, 1997 S. Lang: Algebraic Number Theory, Grad. Texts Math., Bd. 110, Springer, Berlin, 1994 W. Narciewicz: Elementary and Analytic Theory of Algebraic Numbers, 2. Aufl., Springer, Berlin, 1990 J. Neukirch: Algebraische Zahlentheorie, Springer, Berlin, 1992 Homepage of part I Former seminars Homepage Last modified: June 4, 2004

112. Karsten's InternetWebWide World Domination Machine algebraic number theory. Background informations and mathematical links. http://web.ukonline.co.uk/karsten/

Karsten Buecker Personal Homepage I have spent ten years of my youth studying pure mathematics. However, the more I learnt, the more difficult the p-adic modular forms became... Thus I am now working as a quantitative analyst at a medium-sized hedge fund in London. We are researching diverse trading strategies involving European equities, vanilla options and more complex structured products such as credit derivatives. I obtained my PhD in algebraic number theory at Cambridge University , and after that spent about a year each in the Institut Fourier in Grenoble and at the University of Durham as postdoctoral research fellow. My thesis deals with connections between representations of the absolute Galois group, elliptic curves, L-functions, and modular forms. This framework ("Langlands' philosophy") yielded the proof of the Taniyama-Weil conjecture and Fermat's Last Theorem by Wiles in 1995. My more humble contribution studies some of the ingredients in the case of modular forms on Siegel upper half-space, and forms the basis of two 20-page papers (unfortunately my memory is fading fast, so don't ask me any technical questions!): Congruences between Siegel modular forms on the level of group cohomology On the Control Theorem for the symplectic group More recently, I have done some numerical work on the pricing of arithmetically averaged asian options, i.e. financial instruments whose payoff depends on the average price achieved by the underlying over a specified time. Calls and puts can be priced with a

113. Algebraic Number Theory Archives return button, algebraic number theory Archives. http//www.math.uiuc.edu/AlgebraicNumber-Theory/, http://www.aldea.com/guides/ag/a618.html

Algebraic Number Theory Archives http://www.math.uiuc.edu/Algebraic-Number-Theory/ This is a prereprint archive for papers in algebraic number theory and arithmetic geometry hosted by University of Illinois at Urbana Champaign. For explanation of categories see Commentary form. Quality Quantity Ease Up-to-date Faculty Grad Students Undergrads Others Community Commentary Back to UniGuide Academic Guide Help with icons Site developed and designed by AldeaCommunications For inquiries or to make suggestions email uniguide@aldea.com Last Modified: 7/22/97

114. Marcus Wagner Technische Universit¤t Berlin. algebraic number theory. http://www.math.tu-berlin.de/~wagner/

Marcus Wagner Address: FB 3 - Mathematik MA 8-1 D-10623 Berlin Germany phone: 030/314-23761 (MA 812) email: wagner@math.tu-berlin.de Research Interests: Algebraic Number Theory Publications On the computation of Hermite-Humbert constants for real quadratic number fields (preprint) PS PDF TU-Berlin Mathematics Department ... KANT Last modified: Tue Jul 9 09:28:37 CEST 2002

115. Midwest Algebraic Number Theory Day University of Illinois, Chicago. May 10, 2003. http://www2.math.uic.edu/~jeremy/mwants03.html

Midwest Algebraic Number Theory Day Saturday, May 10, 2003 University of Illinois at Chicago Midwest Algebraic Number Theory Day Program Matthew Emerton (Northwestern)) On the p-adic interpolation of automorphic forms Payman Kassaei (MSU) p-adic modular forms over Shimura curves Mihran Papikian (Michigan) Optimal elliptic curves, discriminants and the degree conjecture over function fields. Coffee Break Jim Borger (U Chicago) Non-linear bialgebras: a structural approach to the Witt vectors. D. J. Bernstein (UIC) Sharper ABC-based bounds for congruent polynomials T.H. Yang (Wisconsin) Simplest CM abelian variety over an imaginary quadratic field. Location The meeting will take place in Lecture Center D-4 at the University of Illinois at Chicago. This is one of the small buildings in the center of the East Campus. Directions to Campus are available on the university web page here . You want EAST SIDE! Note: SEO is located in the southwestern corner of (EAST) campus, at the corner of Taylor and Morgan streets. Registration While formal registration is not required, I would appreciate it if you could

116. Sharon Brueggeman's Home Page University of Tennessee at Chattanooga. algebraic number theory, group theory, diophantine equations. Curriculum vitae and mathematical links. http://www.utc.edu/Faculty/Sharon-Brueggeman/

Sharon Brueggeman Assistant Professor Mathematics Department University of Tennessee at Chattanooga Contact Information Email: Sharon-Brueggeman@utc.edu Office: 417A EMCS Office Phone: (423) 425-4582 Office Hours: none for summer Dept Fax: (423) 425-4586 Dept Phone: (423) 425-4545 Mailing Address: Mathematics Department University of Tennessee at Chattanooga Chattanooga TN 37403-2504 Teaching I am not teaching this summer. Research Interests Algebraic Number Theory Group Theory Diophantine Equations Curriculum Vitae html format Mathematics Links Algebraic number theory preprint archives American Mathematical Society KANT Database MacTutor History of Mathematics ... Number fields of low degree (and small ramification) Number theory web Other Interesting Links Internet movie database The official Star Wars web page My Star Wars autograph collection Hawaii Pictures ... UTC library

117. International Conference On Number Theory Topics elementary, analytical and algebraic number theory and its applications. Ostravice, 38 September 2001. http://www.osu.cz/prf/katedry/matematiky/cz_announcement.html

Final announcement The 15 th Czech and Slovak International Conference on Number Theory Ostravice (Czech Republic), Hotel Monter September 3. - 8., 2001 Organized by the Department of Mathematics of the Faculty of Sciences of the University of Ostrava Department of Mathematics, Institute of Chemical Technology, Prague Department of Mathematics, Masaryks University of Brno Department of Mathematical Analysis, Charles University, Prague Mathematical institute of Slovak Academy of Scientes, Bratislava PARTICIPANTS The following mathematicians confirmed the participation INVITED SPEAKERS Takashi Agoh, Japan Jannis A. Antoniadis, Greece Antal Bege, Romania Kurt Girstmair, Austria Alain Escassut, France Peter Grabner, Austria Cornelius Greither, Germany Georges Grekos, France Kalman Gyory, Hungary Franz Halter - Koch, Austria Terence Jackson, United Kingdom Anatoly Karatsuba, Russia Gunter Lettl, Austria Claude Levesque, Canada

118. M. Bush University of Illinois at UrbanaChampaign. algebraic number theory. Curriculum vitae, research statement, and mathematical links. http://www.math.uiuc.edu/~mrbush/

Michael Bush Graduate Student Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street (MC-382) Urbana, Illinois 61801-2975 Office: 109 Altgeld Hall Phone: (217) 333-9661 e-mail: mrbush@math.uiuc.edu Fax: (217) 333-9576 I've just completed my PhD in algebraic number theory. My thesis advisor was Nigel Boston . In the Fall 2004 I will start a three year visiting assistant professorship at the University of Massachusetts My interests at the moment include root discriminant bounds for number fields and the behaviour and properties of p-class towers of number fields and their associated Galois groups. More information and a list of publications/preprints can be found on my Research Page C.V. : dvi ps pdf Research Statement : dvi ps pdf Teaching Statement : dvi ps pdf Math 500 This year I'm organizing the Math 500 Seminar Teaching Math 242, Fall 2002 Math 225, Spring 2001 Some Math Related Links The Number Theory Web The American Mathematical Society (in particular MathSciNet Keith Matthews' Mathematical Gateways to the WWW.

119. Stephen V. Ullom University of Illinois at UrbanaChampaign. algebraic number theory, Galois Module Structure. http://www.math.uiuc.edu/~ullom/

Stephen V. Ullom Professor, Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street Urbana, Illinois 61801-2975 Office: 337 Illini Hall ; (217) 333-6207; FAX: (217) 333-9576 e-mail: ullom@math.uiuc.edu General Information Ph.D. Univ. of Maryland, 1968. Areas of Specialization and Research Interests Algebraic Number Theory, Galois Module Structure of Algebraic Integers and Unit Groups, Galois Groups of Maximal Class Two Extensions with Restricted Ramification, Projective Class Groups of Integral Group Ring of a Finite Group. Selected Publications Representations related to CM elliptic curves. Math. Proc. Cambridge Philos. Soc. 113 (1993), no. 1, 7185. (with Nigel Boston) Generators and relations for certain class two Galois groups. J. London Math. Soc. (2) 34 (1986), no. 2, 235244. (with Stephen B. Watt) Class groups of cyclotomic fields and group rings. J. London Math. Soc. (2) 17 (1978), no. 2, 231239. Nontrivial lower bounds for class groups of integral group rings. Illinois J. Math. 20 (1976), no. 2, 361371. A Mayer-Vietoris sequence for class groups. J. Algebra 31 (1974), 305342. (with Irving Reiner)

120. 14th Czech And Slovak International Conference On Number Theory Covers elementary, analytical and algebraic number theory. Tatra mountains, Slovakia, September 610, 1999. http://www.mat.savba.sk/confer/nt14/

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