141. Zuniga-Galindo, Wilson Barry University. algebraic geometry, number theory, padic analysis. http://euclid.barry.edu/~zuniga/

Barry University W. A. Zuniga-Galindo Assistant Professor of Computer Science and Mathematics Office Address Department of Mathematics and Computer Science 11300 N.E. Second Avenue, Miami Shores, Florida 33161 Email Address wzuniga@mail.barry.edu Office Phone SCHEDULE TEACHING PUBLICATIONS

142. Clayton Petsche University of Georgia. Diophantine geometry and arithmetic; Local and global heights on algebraic varieties; Uniform distribution on locally compact groups; Applications of harmonic analysis to number theory; Mahler measure of polynomials. Teaching notes. http://www.math.uga.edu/~clayton/

Clayton Petsche VIGRE Postdoctoral Associate Department of Mathematics The University of Georgia Contact Information. Office. Boyd Graduate Research Center, Room 526. Office Hours. Tues. 11-12, Wed. 1-3:30, and by appointment. Mailing Address. Department of Mathematics; The University of Georgia; Athens, GA 30602-7403; U.S.A. Email. clayton at math.uga.edu Papers. Global discrepancy and small points on elliptic curves. (with Matthew Baker). Submitted for publication. ( preprint available in pdf Small rational points on elliptic curves over number fields. Submitted for publication. ( preprint available in pdf A quantitative version of Bilu's equidistribution theorem. International Journal of Number Theory, to appear. ( preprint available in pdf The distribution of Galois orbits of low height. Ph.D. Dissertation, The University of Texas at Austin, 2003. Courses. Fall 2005. Modern Algebra and Geometry I. Spring 2005. Introduction to Higher Mathematics. Fall 2004. Analytic Geometry and Calculus. Job Application Materials. Curriculum Vitae.

143. Barry Mazur Homepage Harvard University. number theory, automorphic forms, arithmetic algebraic geometry. Papers and work in progress. http://www.math.harvard.edu/~mazur/

Barry Mazur Home page Barry Mazur Resarch Interests Barry Mazur Math Sci papers Barry Mazur Current Projects Barry Mazur Home page Barry Mazur Resarch Interests Barry Mazur Math Sci papers Barry Mazur Current Projects ... Barry Mazur Curriculum Vitae

144. Noam D. Elkies Home Page Harvard. number theory, algebraic geometry. Preprints, tables in computational number theory. http://abel.math.harvard.edu/~elkies/

Noam D. Elkies Professor, Department of Mathematics Harvard University E-Mail elkies@math.harvard.edu Work Address Department of Mathematics, Harvard University, Cambridge, MA 02138. Work Telephone fax Mathematics Music Chess links Miscellaneous writings etc. Please ignore these HTML tests. sample link #1 sample link #2 sample link #3(

145. Cryptography And Information Security / Information Security And Cryptography Re Interests Informationtheoretic cryptography, Secure distributed computation, Public-key cryptography and digital signatures, number-theoretic and algebraic cryptography, Zero-knowledge protocols, Complexity theory http://www.crypto.ethz.ch

Home Research Publications Teaching ... Links Information Security and Cryptography Research Group top row, left to right: Ueli Maurer Martin Hirt Marc Fischlin middle row, left to right: Renato Renner bottom row, left to right: Bartosz Przydatek Krzysztof Pietrzak Thomas Holenstein not on the picture: Dominik Raub Mission Statement Information is becoming a crucial if not the most important resource of the economy and the society at large. Information differs radically from other resources; for instance, it can be copied without cost, it can be communicated at the speed of light, and it can be destroyed without leaving traces. This poses new challenges for the protection of this new resource and of intellectual property in general. Information security, in particular cryptography, is an enabling technology that is vital for the development of the information society. Our missions are to contribute to understanding the foundations of, and finding practical solutions for, known and emerging information security problems, to foresee and identify future issues in information security

146. Arabic Mathematics Explains contributions of Arabian mathematicians by translating early Greek texts, developing early algebraic ideas, number theory and astronomical calculations. Includes information about key people during this time period. http://www-history.mcs.st-and.ac.uk/history/HistTopics/Arabic_mathematics.html

Arabic mathematics : forgotten brilliance? Alphabetical list of History Topics History Topics Index Version for printing Recent research paints a new picture of the debt that we owe to Arabic/Islamic mathematics. Certainly many of the ideas which were previously thought to have been brilliant new conceptions due to European mathematicians of the sixteenth, seventeenth and eighteenth centuries are now known to have been developed by Arabic/Islamic mathematicians around four centuries earlier. In many respects the mathematics studied today is far closer in style to that of the Arabic/Islamic contribution than to that of the Greeks. There is a widely held view that, after a brilliant period for mathematics when the Greeks laid the foundations for modern mathematics, there was a period of stagnation before the Europeans took over where the Greeks left off at the beginning of the sixteenth century. The common perception of the period of 1000 years or so between the ancient Greeks and the European Renaissance is that little happened in the world of mathematics except that some Arabic translations of Greek texts were made which preserved the Greek learning so that it was available to the Europeans at the beginning of the sixteenth century. That such views should be generally held is of no surprise. Many leading historians of mathematics have contributed to the perception by either omitting any mention of Arabic/Islamic mathematics in the historical development of the subject or with statements such as that made by Duhem in [3]:-

147. Snaith, Victor P. University of Sheffield. Research interests in number theory, algebra, representation theory and algebraic topology. Publications and notes. http://alice.shef.ac.uk/info/staffinfo.php?StaffID=34

148. Algebraic Number -- From MathWorld Hancock, H. Foundations of the theory of algebraic numbers. Vol. 1 Introduction to the General Koch, H. number theory algebraic numbers and Functions. http://mathworld.wolfram.com/AlgebraicNumber.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Number Theory Algebraic Number Theory Algebra ... Transcendental Numbers Algebraic Number If is a root of the polynomial equation where the s are integers and satisfies no similar equation of degree , then is an algebraic number of degree . If is an algebraic number and , then it is called an algebraic integer Examples of algebraic numbers and their degrees are summarized in the following table. constant degree Conway's constant Delian constant Freiman's constant golden ratio ... Graham's biggest little hexagon area hard hexagon entropy constant logistic map 4-cycle onset logistic map 8-cycle onset logistic map 16-cycle onset plastic constant Pythagoras's constant silver constant silver ratio ... Wallis's constant If, instead of being integers, the s in the above equation are algebraic numbers , then any root of is an algebraic number.

149. 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: Fall 2005 MATH 131 - CALCULUS FOR THE PHYSICAL AND LIFE SCIENCES MATH 351 - ABSTRACT ALGEBRA I 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 September 1, 2005

150. Mathematics Archives - Topics In Mathematics - Number Theory number theory and Arithmetic algebraic Geometry ADD. KEYWORDS Articles KEYWORDS number theory, computer algebra system, algebraic number fields, 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

151. 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

152. 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 116 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) Topics in Algebra (graduate course) Seminar (graduate course) Current Sponsered Project On some computation of Brauer subgroups (NSC 93-2115-M-003-004, 2004/8 ~ 2005/7) Publications Twists of Central Simple Algebras and Endomorphism Algebras of Some Abelian Varieties ", Math. Annalen, 276 (1987), 615-632.

153. Kiran S. Kedlaya Massachusetts Institute of Technology. Research primarily in algebraic geometry and number theory. Papers and preprints, mathematics links, and contact information. http://www-math.mit.edu/~kedlaya/

Kiran Sridhara Kedlaya The only thing we have to fear is fear itselfnameless, unreasoning, unjustified terror which paralyzes needed efforts to convert retreat into advance. Franklin D. Roosevelt E.g., um, Iraq? topical anagram I am an Assistant Professor of Pure Mathematics at MIT . My research is primarily in algebraic geometry and number theory (including algorithmic/computational questions); effective July 1, 2004, I am supported by NSF grant DMS-0400727 . During the fall 2005 semester, I am teaching 18.014: Calculus with Theory . I am also a co-organizer of the Harvard-MIT Algebraic Geometry Seminar , and of the Brandeis-Harvard-MIT-Northeastern Joint Mathematics Colloquium . For more about me, see below This site is larger than you might expect; try the navigation bar and the site map for getting around. Enjoy! Kiran S. Kedlaya Department of Mathematics , Room Massachusetts Institute of Technology 77 Massachusetts Avenue Cambridge, MA 02139-4307 USA phone: (617) 253-2946 (on campus, 3-2946) Office hours: Wednesday 12:30-1:30 email: ked laya[at] either of mit[dot]edu or math[dot]mit[dot]edu Beware that I do not always acknowledge unsolicited emails.

154. Homepage For Frans Oort University of Utrecht. algebraic geometry and number theory. Publications, links. http://www.math.ruu.nl/people/oort/

Department of Mathematics Frans Oort Department of Mathematics University of Utrecht P.O.Box 80.010 3508 TA Utrecht The Netherlands tel: +31-30-2531514 / ... 1425 / ... 1430/ ... 1420 fax: +31-30-2518394 email address email: oort at math dot uu dot nl Mathematical Institute Budapestlaan 6 3584 CD Utrecht ps file of "List of publications of Frans Oort". ps file of "Some questions in algebraic geometry". ps file of "Open problems in algebraic geometry". ps file of "Newton polygons and p-divisible groups: a conjecture by Grothendieck". ... ps file of F. Oort: Hecke orbits in moduli spaces. Seattle: 2005 AMS Summer Institute on Algebraic Geometry. Sheets, 22 pp. August 2005. Here are some links to other people in Algebraic Geometry and/or Number Theory: Ahmed Abbes Université de Paris 13 Dan Abramovich at Boston University Francesco Baldassarri at Padua University Pierre Berthelot at the University of Rennes 1 Frits Beukers at the University of Utrecht Ching-Li Chai at the University of Pennsylvania, Philadelphia PA, USA Robert Coleman at the University of California, Berkeley

155. Research.html Graz University of Technology. number theory; algebraic Geometry; Coding theory. Publications, thesis. http://finanz.math.tu-graz.ac.at/~fuchs/research.html

Research Interests Number Theory: - Diophantine Equations - Subspace Theorem of W.M. Schmidt - Diophantine m-Tuples Algebraic Geometry: - Algebraic Function Fields and Applications - Diophantine Problems over Function Fields Coding Theory: - Geometric Goppa-Codes - AG-Codes due to Xing, Niederreiter, Lam Publications Algebraisch-geometrische Codes , Diplomarbeit, TU Wien, 2000. ( dvi pdf Quantitative finiteness results for Diophantine equations, PhD-Thesis (Dissertation), TU Graz, 2002. ( dvi pdf joint work with and R. F. Tichy Monatsh. Math. Preprint: ( dvi pdf Diophantine m-tuples for linear polynomials, joint work with A. Dujella and R. F. Tichy Period. Math. Hungar. Preprint: ( dvi pdf Perfect powers in linear recurring sequences

156. Van H. Vu University of California, San Diego. Probabilistic methods, sharp concentration phenomenon, random structures and algorithms, additive number theory, and algebraic methods in combinatorics. Publications, lecture notes. http://math.ucsd.edu/~vanvu/

Van H. Vu I am a full professor at the Mathematics Department at University of California San Diego . I received my Ph.D at Yale University in 1998, under the direction of Prof. L. Lovasz. Before coming to California , I spent a few years at IAS Princeton ) and Microsoft Research (Redmond). A CV Telephone Mailing Address Department of Mathematics University of California, San Diego 9500 Gilman Dr. La Jolla, CA 92093-0112 Links Research My research interests are combinatorics, discrete probability and additive number theory. This link contains papers I have written in these areas, together with brief discussions about the topics and a few questions I think worth considering. Some of the papers may be slightly different from the published version. Students are highly recommended to check this link Presentations ; If you want to see a random regular graph, click here Graduate Courses and related activities: In Fall 2004, I run a reading seminar in combinatorics. My students K. Costello, R. Richardson and L. Wu are working on problems on random matrices and random polytopes originated from this series of seminars. In Fall 2003, I taught a topic course:

157. 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 evaluations of two Ramanujan-Selberg continued fractions" International Journal of Number Theory, to appear. "Explicit evaluation of a Ramanujan-Selberg continued fraction", Proceedings of AMS, 130, No. 1(2001), 9-14. "A certain quotient of eta-functions found in Ramanujan's Lost Notebooks, Pacific Journal of Mathematics, Vol. 202, No. 2 (2002), pp 267-304 (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"

158. Algebraic Geometry And Number Theory With Magma Institute Henri Poincar©, Paris, France; 48 October 2004. http://magma.maths.usyd.edu.au/ihp/

General Schedule Participants Accomodation ... Registration Algebraic Geometry and Number Theory with Magma Paris October 4 - 8, 2004 Pictures Click here for pictures of the conference (taken by William Stein and Allan Steel). Introduction A week-long conference on the Computer Algebra system Magma trimester on "Explicit Methods in Number Theory" , organised by Belabas, Cohen, Cremona, Mestre, Roblot, Zagier. For further information, mail John Cannon The meeting was built around the following types of activities: Lectures describing recent developments in algorithms for algebraic geometry and arithmetic fields. Talks describing significant applications of Magma to algebraic geometry or number theory. Talks discussing potential algorithms or ideas for future directions in computational methods for algebraic geometry and arithmetic fields. Short courses on the use of Magma in following areas: Arithmetic fields General algebraic geometry ie schemes Elliptic curves Curves of genus greater than 1 Modular forms and modular abelian varieties Lectures Manjul Bhargava (IAS Princeton): A conjecture of Conway and Schneeberger on quadratic forms Gavin Brown (Warwick): Graded rings over K3 surfaces John Cannon (Sydney): An overview of algebraic geometry in Magma John Cremona (Nottingham): Finding all elliptic curves with good reduction outside a given set of primes Miles Reid (Warwick): Unprojection and Gorenstein rings in small codimensions Josef Schicho (Linz): Deciding rational rationality of algebraic surfaces

159. Diane Meuser's Home Page Boston University. number theory and algebraic geometry. Contact information. http://math.bu.edu/people/dmm/

Professor Diane Meuser Office Address: Room 249, 111 Cummington Street, Boston, MA 02215 Office Phone Number: Email Address: dmm@math.bu.edu Office Hours: T 3:00 - 4:30 PM , TH 2:00 AM - 3:30 PM Math Help Hours (in Claflin Hall Lobby): Monday Evenings: 7:30 - 10:30 PM Faculty Resident at Claflin Hall, West Campus : My apartment: 1205 Claflin Hall. Phone: 352-0700 Here are some of the things I do: Math Help Ice Cream Parties Mt. Monadnock Hike Bike Trip MA 129 Course Info Special Announcements. Course Syllabus Homework Assignments. (Posted at the end of each week).

160. EIMI: Algebraic Geometry And Number Theory Conference Euler International Mathematical Institute, St Petersburg, Russia; 1723 June 2005. http://www.pdmi.ras.ru/EIMI/2005/AG/

International conference ALGEBRAIC GEOMETRY AND NUMBER THEORY June 17-21, 2005 St Petersburg, RUSSIA SCIENTIFIC COMMITEE Yu.Manin ( Moscow/Bonn ) A.Parshin ( Moscow ) J.Porras ( Salamanca ) S.Vostokov ( St. Petersburg ) I. Zhukov ( St. Petersburg ) M.Bondarko ( St. Petersburg ) I. Fesenko ( Nottingham ) KEY SPEAKERS Grzegorz Banaszak (Poznan) Pilar Bayer (Barcelona) Michael Bondarko (St. Petersburg) David Burns (London) Ivan Fesenko (Nottingham) Cornelius Greither (Muenchen) Henry H. Kim (Toronto) Bernhard Koeck (Southampton) Jose Maria Munoz-Porras (Salamanca) Alexei Parshin (Moscow) Fernando Pablos Romo (Salamanca) Ivan Panin (St Petersburg) Christophe Soule (Paris) Michael Spiess (Bielefeld) Jakob Stix (Bonn) Lin Weng (Kyushu) Yuri Zarhin (Pennstate) Igor Zhukov (St Petersburg) Registration Form Registration Fee Visa Information Hotel Information ... Further information Previous Meetings: First conference on Arithmetic Geometry Second conference on Arithmetic Geometry Back to the EIMI home-page Back to the Petersburg Department of Steklov Institute of Mathematics

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