141. Home Page For Cristina Ballantine College of the Holy Cross. number theory, representation theory, automorphic forms, and algebraic combinatorics. Curriculum vitae and publications. http://mathcs.holycross.edu/~cballant/index.html

College of the Holy Cross Department of Mathematics and Computer Science Cristina M. Ballantine Homepage Mathematical Interests: Number Theory, Representation Theory and Automorphic Forms Algebraic Combinatorics Teaching: Spring 2004 MATH 241 - MULTIVARIABLE CALCULUS CV PUBLICATIONS Office: Swords 331 Phone: (508) 793-3940 Fax: (508) 793-3530 email address: cballant@holycross.edu See the Holy Cross homepage Last modified January 14, 2003

142. Kenneth S. Williams Carleton University. algebraic, analytic and computational number theory; binary quadratic forms and the arithmetic of fields of small degree. http://www.math.carleton.ca/profints/williams.html

Kenneth S. Williams williams@math.carleton.ca Professor of Mathematics Ph.D. (University of Toronto, 1965) D.Sc. (University of Birmingham, 1979) My research interests cover a broad spectrum of areas of number theory, including algebraic, analytic and computational number theory. I am particularly interested in arithmetic questions concerning binary quadratic forms as well as problems involving the arithmetic of fields of small degree. My current research involves extensions of the Chowla-Selberg formula which relates values of the Dedekind eta function. Publications Books School of Mathematics and Statistics Last Modified: Monday, February 14, 2000 9:22 PM. Suggestions and comments to: webmaster

143. Wen-Chen Chi National Taiwan Normal University. number theory, Arithmetic algebraic geometry. http://math.ntnu.edu.tw/~wchi/EnglishPage.html

Wen-Chen Chi (Wenchen Chi) Professor of Mathematics National Taiwan Normal University Department of Mathematics 88, Sec.4, Ting-Chou Road, Taipei, Taiwan 117 Phone: (886)2-2931-2611 ext.315 Fax: (886)2-2933-2342 e-mail: wchi@math.ntnu.edu.tw wchi@cc.ntnu.edu.tw Brief CV Professor, 1996/8 - Present, National Taiwan Normal University Head, 1994/3 - 1996/7, Department of Mathematics, National Tsing Hua University Professor, 1991/8 - 1996/7, National Tsing Hua University Associate Professor, 1988/8 - 1991/7, National Tsing Hua university Lecturer, 1986/7 - 1988/6, University of Pennsylvania Ph.D., 1986/5, University of California, Berkeley B. Sc., 1977/7, National Taiwan Normal University Research Interests Number Theory, Arithmetical Algebraic Geometry Current Courses Abstract Algebra (undergraduate course) Algebra and Number Theory(senior-graduate course) Topics in Algebraic Curves (graduate course) Current Sponsered Project On Some Computations in Number Theory (NSC 89-2115-M-003-010, 2000/8 ~ 2001/7) Some Selected Publications Twists of Central Simple Algebras and Endomorphism Algebras of Some Abelian Varieties "

144. Prof. A.J. Scholl University of Cambridge. number theory, arithmetic algebraic geometry, modular forms. Preprints, notes. http://www.dpmms.cam.ac.uk/site2002/People/scholl_aj.html

Department of Pure Mathematics and Mathematical Statistics DPMMS People Prof. A.J. Scholl Prof. A.J. Scholl Title: Kuwait Professor of Number Theory and Algebra Room: E1.05 Tel: +44 1223 765889 Personal Home Page Research Interests: Number theory, arithmetic algebraic geometry, modular forms Information provided by webmaster@dpmms.cam.ac.uk

145. Mathematics Archives - Topics In Mathematics - Number Theory reader; DOCUMENTA MATHEMATICA Extra Volume ICM 1998 - Section 3. number theory and Arithmetic algebraic Geometry ADD. KEYWORDS http://archives.math.utk.edu/topics/numberTheory.html

Topics in Mathematics Number Theory Absolute Primes ADD. KEYWORDS: Article, Repunits SOURCE: Arkadii Slinko, University of Auckland and Mathematics Olympiad Learning Centre TECHNOLOGY: Adobe Acrobat Reader Aesthetics of the Prime Sequence Algorithmic Number Theory - Bibliography AMS - Fermat's Last Theorem ADD. KEYWORDS: Number theory, Fermat's Last Theorem, History, Reports, Articles AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases Arithmetic properties of Binomial Coefficients ADD. KEYWORDS: Elementary Number Theory, Lucas' Theorem, Pascal's triangle via cellular automata, Bernoulli numbers and polynomials, Theorems of Morley and Emma Lehmer and their generalizations, Some useful p-adic numbers Bernoulli (Beta) and Integer Part Sequences ADD. KEYWORDS: Article SOURCE: Rod Nillsen, Keith Tognetti and Graham Winley, University of Wollongong TECHNOLOGY: Adobe PDF, Postscript and DVI readers

146. Liang-Cheng Zhang 's Homepage Southwest Missouri State University. algebraic and analytic number theory. http://math.smsu.edu/~zhang/

Department of Mathematics Liang-Cheng Zhang Professor Education B.S. and M.S in Math, Peking(Beijing) University, China Ph. D. in Math, University of Illinois at Urbana-Champaign Research Interests - Algebraic and Analytic Number Theory Class Invariants and Singular Moduli Class Ideal Groups and Class Numbers of Quadratic Fields Unit Groups of Number Fields Class Field Theory, Genus Theory and Complex Multiplication Continued Fractions Elliptic Functions and Modular Forms q-Series Diophantine Equations Ramanujan's Work Selected Publications "Explicit evaluation of a Ramanujan-Selberg continued fraction", Proceedings of AMS , to appear. "A certain quotient of eta-functions found in Ramanujan's Lost Notebooks, Pacific Journal of Mathematics , to appear (with Berndt, Chan and Kang). "Radicals and units in Ramanujan's work", Acta Arith., LXXXIL.4(1998), pp 145-158 (with Berndt and Chan). "Ramanujan's class invariants, Kronecker's limit formula and modular equations III", Acta Arith., LXXXII 4 (1997), pp 379-392. "Ramanujan's association with radicals in India"

147. Ellenberg, Jordan Assistant Professor of Mathematics, Department of Mathematics, Princeton University. Subjects arithmetic algebraic geometry, number theory. http://www.math.princeton.edu/~ellenber

Jordan S. Ellenberg Assistant Professor of Mathematics 808 Fine Hall Department of Mathematics Washington Road Princeton, NJ 08544 e-mail: ellenber@math.princeton.edu I've been teaching at Princeton since the fall of 1998. My field is arithmetic algebraic geometry: my specific interests include rational points on varieties, Galois representations attached to varieties and their fundamental groups, non-abelian Iwasawa theory, counting arithmetic objects, automorphic forms, Hilbert-Blumenthal abelian varieties, Q -curves, curves of low genus, Serre's conjecture, the ABC conjecture, and Diophantine problems related to all of the above. In Fall 2003, I am teaching Math 214, "Numbers, Equations, and Proofs." This course, being given for the third time this term, uses classical number theory as a vehicle for teaching the concepts and techniques of higher mathematics. Papers and Preprints My CV ( .dvi version or .pdf version Personal Page Teaching Barry Mazur's Mathematical Genealogy ... Send me e-mail Jordan Ellenberg * ellenber@math.princeton.edu * revised 28 Aug 2001

148. Macquarie University, Australia Interests Security techniques for wired and wireless networks, fixed and mobile distributed applications, practical quantum cryptography, Cryptography and Information Security, Computational number theory, algebraic and Combinatorial Algorithms. http://www.ics.mq.edu.au

149. Frederik Vercauteren University of Bristol. Algorithmic number theory and computational algebraic geometry; applications to cryptography. http://www.cs.bris.ac.uk/~frederik/index.html

Bristol CS Index Dr. Fré Vercauteren Lecturer Address: Computer Science Department Woodland Road University of Bristol Bristol BS8 1UB, United Kingdom Office : Merchant Venturers Building, Room 3.47 Phone: +44-117-954-5634 Fax : +44-117-954-5208 E-mail: frederik@cs.bris.ac.uk Teaching: - Introduction to Cryptography - Information Security - Object Oriented Programming Research Interests: Algorithmic number theory and computational algebraic geometry Applications of the above in cryptography Publications: F. Vercauteren, B. Preneel, J. Vandewalle. A Memory Efficient Version of Satoh's Algorithm. In Birgit Pfitzmann (Ed.) Advances in Cryptology - EUROCRYPT 2001, Lecture Notes in Computer Science 2045 Springer 2001, p. 1-13. S. Janssen, J. Thomas, W. Borremans, P. Gijsels, I. Verbauwhede, F. Vercauteren, B. Preneel, J. Vandewalle. Hardware/Software Co-design of an Elliptic Curve Public-key Cryptosystem. In Proceedings IEEE Workshop on Signal Processing Systems, SiPS-2001, Antwerp, Belgium, 2001, p. 209-216. J. Denef, F. Vercauteren.

150. NSF Program Description Algebra, Number Theory And Combinatorics in algebra, including algebraic structures, general algebra, and linear algebra; number theory, including algebraic, analytic number theory, arithmetic geometry http://www.nsf.gov/pubs/progdesc/2004/mps/1264.html

151. Seminar Of Theory Of Number (Algebraic And Analytic) In The Area Of Taipei City National Taiwan University and Academia Sinica number theory (algebraic and Analytic) Seminar in the area of Taipei City, Taiwan. Contacts, schedules. http://www.math.ntu.edu.tw/~r2lan/seminar_taipei.html

National Taiwan University and Academia Sinica Seminar of Theory of Number (Algebraic and Analytic) in the area of Taipei City From Oct 1, 2002, to Jun 12, 2003. Ki-Seng Tan Department of Mathematics National Taiwan University tan@math.ntu.edu.tw Wen-Chen Chi Department of Mathematics National Taiwan Normal University wchi@math.ntnu.edu.tw Ka-Lam Kueh Institute of Mathematics Academia Sinica maklk@ccvax.sinica.edu.tw Chun-Chung Hsieh Institute of Mathematics Academia Sinica macchsieh@ccvax.sinica.edu.tw Fabien Trihan Institute of Mathematics Academia Sinica trihan@univ-rennes1.fr Dr. Trihan will leave Taiwan in June, 2003, launching his career in , Belgium. Kai-Wen Lan Institute of Mathematics Academia Sinica r2lan@math.ntu.edu.tw Mr. Lan attended the seminar after having retired from the military in March, 2003. Activities Seminar Talks Informal Discussions Talks Fabien Trihan, What is the use of crystalline cohomology? Oct 1, 2002. Fabien Trihan, Introduction to crystalline cohomology , Oct 23, 2002. Moubariz Z. Garaev, Detecting primes in arithmetical progressions , Nov 6, 2002.

152. LiDIA - A Library For Computational Number Theory LiDIA is a C++ library for computational number theory which provides a over finite fields (V. Shoup s algorithms), Factoring ideals of algebraic number fields http://www.informatik.tu-darmstadt.de/TI/LiDIA/

A C++ Library For Computational Number Theory Main Page News Introduction Online Documentation System Requirements ... Activate LiDIA's Remote Control (JavaScript) News May 2004 LiDIA 2.1.1 released LiDIA 2.1.1 is available for download The LiDIA 2.1 release of yesterday contained a bug that broke LiDIA on some platforms. We also encountered a defect in the standard library shipping with g++ 2.95.2 that caused builds with this compiler to fail. LiDIA 2.1 is withdrawn. LiDIA 2.1.1 brings a long list of bugfixes that accumulated since LiDIA 2.1pre7. Other changes include: Unless you explicitly configure LiDIA with `enable-shared', only static LiDIA libraries are built. If you build LiDIA with g++, then the compiler's command line option `-fno-implicit-templates' is no longer used. LiDIA can be built atop the current cln release (1.1.6) again. Jochen Hechler contributed a new primality proofer (in the GEC package). Please refer to the release notes for an exhaustive list of changes and the known problems in LiDIA 2.1. Older News More news and facts about LiDIA can be found on LiDIA's NEWS page Introduction LiDIA is a C++ library for computational number theory which provides a collection of highly optimized implementations of various multiprecision data types and time-intensive algorithms. LiDIA is developed by the LiDIA Group at the Darmstadt University of Technology.

153. Local Fields And Their Extensions, Second Edition, By I.B. Fesenko, S.V. Vostoko I.B. Fesenko, S.V. Vostokov. PostScript. http://www.dpmms.cam.ac.uk/Algebraic-Number-Theory/0319/

Local Fields and Their Extensions, Second Edition, by I.B. Fesenko, S.V. Vostokov This a new version of the book which contains hundred pages more on the last ten years of local fields developments. Please send comments on this second edition, if you have any! The book has been removed and is now to be published by the AMS in 2002. I.B. Fesenko, S.V. Vostokov

154. Jing Yu Academia Sinica, Taiwan. number theory, Arithmetical algebraic geometry. Arithmetic of function fields, transcendence theory. Symbolic computation. http://www.sinica.edu.tw/math/html/research/JY-e.html

Jing Yu ¡@¡@Jing Yu received a B.S. in Mathematics from National Taiwan Normal University. Afterwards he went to the United States and studied Mathematics at Yale University with Serge Lang. He went back to Taiwan immediately after receiving his Ph.D in 1980 and joined the Academia Sinica as an associated research fellow. In the year 1982/84 he traveled to France, as Boursier du gouvernement francais at Orsay (Universite de Paris-Sud). He was promoted to research fellow by the Academia Sinica in 1985. In the year 1987/88, he was a member of the Institute for Advanced Study at Princeton. He has also been a visiting member at the Max Planck Institut fur Mathematik in Germany. ¡@¡@As a descendent of the Artin school, Jing Yu is interested in all phases of Number Theory and Arithmetical Algebraic Geometry. In recent years he has done major works in the arithmetic of function fields, especially transcendence theory. He is also interested in doing symbolic computations with computer. ¡@¡@ Publications A Cuspidal class number formula for the modular curves X(N) , Mathematische Annalen, 252(1980), 197-216.

155. Algebra And Number Theory At Queen S University Algebra and number theory. Eddy Campbell (eddy@mast.queensu.ca) Invariant theory of finite groups over finite fields, algebraic topology. http://www.mast.queensu.ca/faculty-algebra.html

156. Bruinier, Jan Universit¤t zu K¶ln. Automorphic forms, number theory, and algebraic geometry. Research papers, preprints, and links. http://www.mi.uni-koeln.de/~bruinier/

Prof. Dr. Jan Hendrik Bruinier Mathematisches Institut Weyertal 86-90 Germany Office: 014 Phone: ++49 (0)221 470 4334 Fax: ++49 (0)221 470 6745 E-mail: bruinier@math.uni-koeln.de Research interests: Automorphic Forms, Number Theory, Algebraic Geometry Phone: ++49 (0)221 470 4337, E-mail: stiehl@math.uni-koeln.de Things of interest Analysis II Sommersemester 04 Proseminar Summer School on modular forms at the Sophus Lie Conference Center Moonshine - the First Quarter Century and Beyond, ICMS Edinburgh Selected research papers and preprints pdf On Two Geometric Theta Lifts (with J. Funke), preprint (2003), Duke Math. Journal, accepted for publication. pdf dvi ps Coefficients of half-integral weight modular forms (with K. Ono), J. Number Theory 99 (2003), 164-179. dvi ps The arithmetic of the values of modular functions and the divisors of modular forms (with W. Kohnen and K. Ono), Compos. Math. 140 (2004), 552-566. dvi ps On Borcherds products associated with lattices of prime discriminant (with M. Bundschuh), Ramanujan J. 7 (2003), 49-61. dvi ps The arithmetic of Borcherds' exponents (with K. Ono), Math. Ann. 327 (2003), 293-303.

157. The USC Number Theory Home Page Research Interests number theory, including Analytic, Classical algebraic, Combinatorial, Computational, Elementary, and Transcedence topics. http://www.math.sc.edu/~filaseta/numthry.html

Research Interests: Research Interests: elementary number theory, analytic prime number theory, quadratic forms, class number formulae, forms of higher order, quadratic and higher power residues, comparative prime number theory, Gauss and Jacobi sums, computer results in number theory. (Retired but still collaborating in research) Research Interests: aspects of Computational and Elementary Number Theory, including work on cyclotomic polynomials, Euler's phi function, and problems related to digits in integer sequences. Research Interests: Analytic Number Theory and Approximation Theory with particular interests in the use of finite differences to determine information about lattice points close to a curve or surface. I also have interests in the application of these results to gap problems in Number Theory. Research Interests: Analytic and Elementary Number Theory with particular interests in the distribution of primes, Waring's problem, arithmetic properties of elliptic curves over the rationals, and applications of the theory of modular forms. Information: Sergei Konyagin of Moscow State University will be visiting for the month of January, 2004. He is world renowned for his work in Number Theory, Approximation Theory, and Harmonic Analysis. In particular, he was recognized for his work in Harmonic Analysis as a recipient of the Salem Prize in 1990.

158. Yuri Tschinkel University of Illinois at Chicago. algebraic geometry, number theory and harmonic analysis. http://www2.math.uic.edu/~yuri/

Yuri Tschinkel's Home Page CV Teaching Research email: yuri@math.uic.edu office: (312) 413-9153

159. Wayne Aitken California State University, San Marcos. algebraic and geometric number theory. Reseach and publications. http://coyote.csusm.edu/public/aitken_html/waitken.html

Wayne Aitken Associate Professor of Mathematics and Graduate Coordinator for Mathematics California State University, San Marcos waitken@csusm.edu Teaching Research Positive Curvature: Negative Curvature: Bookmarks

160. 4th Panhellenic Conference On Algebra And Number Theory The topics of the lectures basically refer to number theory; Group theory; Ordered algebraic Structures; Homological Algebra; Topological Groups; http://www.math.upatras.gr/algebra/conf/

4th Panhellenic Conference on Algebra and Number Theory University of Patras May 30 - June 2, 2002 Start Page Organizing Committee Communication Registration ... Schedule The 4th Panhellenic Conference on Algebra and Number Theory , with international participation, will be held in Patras, from May 30 until June 2, 2002. The conference is organized biannually by the Greek algebraists since 1996 and has taken place in Athens, Thessaloniki and Crete.The scientific program will consist of lectures given by invited speakers and short communications of 20 minutes. The topics of the lectures basically refer to: Number Theory Group Theory Ordered Algebraic Structures Homological Algebra Topological Groups Hyperstructures Computational Algebra Algebraic Geometry Categorical Algebra The conference will take place at the Conference and Cultural Hall of the University of Patras. The accommodation will be in hotels near the University at the nice area of Rion. The registration fee is expected to be very reasonable and it will cover the book of abstracts, the Proceedings of the Conference, transportation to and from the University, lunches, the welcoming reception, the official dinner and an excursion to an archaeological site. If you are interested in participating, please fill out the

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