161. 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 have moved to the University of Wisconsin: please visit my new web page here . This page will no longer be updated. My field is arithmetic algebraic geometry: my specific interests include rational points on varieties, enumeration of number fields and other arithmetic objects, Galois representations attached to varieties and their fundamental groups, non-abelian Iwasawa theory, 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 2004, I taught Math 214, "Numbers, Equations, and Proofs." This course uses classical number theory as a vehicle for teaching the concepts and techniques of higher mathematics; it is suitable for both prospective math majors and interested amateurs. I wrote a novel called The Grasshopper King , which came out in 2003 from Coffee House Press 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 8 Mar 2005

162. Tom Weston I am a regular participant in the Five College number theory Seminar. Selmer groups and Chow groups of selfproducts of algebraic varieties (abstract http://www.math.umass.edu/~weston/

Tom Weston Assistant Professor Department of Mathematics and Statistics Lederle Graduate Research Tower University of Massachusetts Amherst, MA 01003-9305 Curriculum vita Lecturing at the 2001 Arizona Winter School. (Picture by William Stein.) Research interests arithmetic geometry special values of L ... deformation theory of Galois representations I am a proud alum of the Ross program , where I worked from 1993 to 1996. I am a regular participant in the Five College Number Theory Seminar Math 233 Math 471 Expository Papers ... Course Notes Research papers Kida's formula and congruences (with Robert Pollack abstract abstract - no javascript ps ... pdf Iwasawa invariants of Galois deformations abstract abstract - no javascript ps pdf ), to appear in Manuscripta Mathematica. Variation of Iwasawa invariants in Hida families (with Matthew Emerton and Robert Pollack abstract abstract - no javascript ps ... pdf ), to appear in Inventiones Mathematicae. Power residues of Fourier coefficients of modular forms abstract abstract - no javascript ps pdf ), to appear in the Canadian Journal of Mathematics. Explicit unobstructed primes for modular deformation problems of squarefree level abstract abstract - no javascript ps pdf ), Journal of Number Theory (special issue in honor of

163. Division Of Information And Communication Sciences 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

@import url("/styles/import.css"); @import url("/styles/departments.css"); Skip Links Please note: You are viewing the unstyled version of this web site. Either your browser does not support CSS (cascading style sheets) or it has been disabled. Home Events Handbook Library ... Contact Division of Information and Communication Sciences Local Navigation Home About Division Undergraduate Postgraduate ... Intranet The Division of Information and Communication Sciences (ICS) at Macquarie University, Sydney, Australia, brings together the Department of Computing Department of Electronics Department of Mathematics Department of Physics ... Postgraduate Professional Development Program We teach, research and consult across the broad area of information and communication sciences and in the specific disciplines related to each department. Our work is underpinned by a strong collaboration with industry and a commitment to community outreach. Back to top Macquarie University (PPDP) is at the leading edge of research and practice in the area of IT governance. As a service to the community it is hosting a conference on IT Governance on the afternoon of Saturday 24 September to provide an exclusive briefing session for top management. The conference, is an extension of our teaching programme (ITEC844), and it addresses an issue that profoundly impacts productivity. Board members, top managers and project sponsors from both the public and private sectors are invited to attend. Our goal is to share information with boards and top managers on how they can influence IT projects to consistently succeed. The theme extends well beyond compliance and issues of on-time on-budget issues and will focus more on performance: realising promised business benefits.

164. 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 Research

165. 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 Read this first: This page is no longer maintained since I've moved to Leuven. Click here to go there. 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.

166. Nicholas M. Katz's Home Page Princeton University. number theory and algebraic geometry. Publications, photographs. http://www.math.princeton.edu/~nmk/

Check out monodromy.com Bibliography of Nicholas M. Katz pdf file (83 KB) C.V. of Nicholas M. Katz pdf file (22 KB) Photo from 60'th Birthday Conference jpg file (807 KB) Photo from 60'th Birthday Conference (high resolution version) TIF file (123 MB) V-Strom DL650 suspension adjustment Nicholas M. Katz PDF and DVI files available for download G_2 and hypergeometric sheaves dvi file (192 KB) pdf file (4169 KB) On a question of Lillian Pierce dvi file (44 KB) pdf file (982 KB) Hooley parameters for families of exponential sums over finite fields pdf file Notes on G_2, determinants, and equidistribution (typo's corrected Dec. 9, 2003) pdf file online version (joint with Esnault) Cohomological divisibility and point count divisibility (corrected version of nov. 10, 2003) dvi file (41 KB) pdf file (187 KB) Corrected version of Chapter 5 of "Twisted L-Functions and Monodromy" pdf file Moments, Monodromy, and Perversity: a Diophantine Perspective Corrections to "Space filling curves over finite fields" dvi file (12 KB) pdf file (88 KB) (joint with Pandharipande) Inequalities related to Lefschetz pencils and integrals of Chern classes pdf file (80 KB) Estimates for "nonsingular" multiplicative character sums dvi file (60 KB) pdf file (206 KB) A semicontinuity result for monodromy under degeneration dvi file (36 KB) pdf file (163 KB) Sato-Tate Equidistribution of Kurlberg-Rudnick Sums pdf file (94 KB) AWS2000 Lectures: L -functions and monodromy: four lectures on Weil II pdf file (184 KB) Larsen's Alternative, Moments, and the Monodromy of Lefschetz Pencils

167. LiDIA - A Library For Computational Number Theory LiDIA is a C++ library for computational number theory which provides a collection (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 December 2004 LiDIA 2.1.3 released LiDIA 2.1.3 is available for download This is a bugfix release only. It fixes an off-by-one error in src/linear_algebra/crt_and_prime_handling.cc that could cause your applications to crash. Please refer to the release notes for an exhaustive list of changes and the known problems in LiDIA 2.1.3. June 2004 LiDIA 2.1.2 released LiDIA 2.1.2 is available for download This is a bugfix release that resolves two issues: Depending on the arithmetic kernel (configure-parameter with-arithmetic ) and the formating flags of the input stream, sometimes failed to correctly parse the number 0. The member function in class produced inreliable results. Many thanks to Volker Mueller for providing a fix! Please refer to the release notes for an exhaustive list of changes and the known problems in LiDIA 2.1.2. 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.

168. People In DPMMS JH Coates, FRS number theory, arithmetical algebraic geometry, AJ Scholl number theory, arithmetic algebraic geometry, modular forms; Prof. http://www.dpmms.cam.ac.uk/site2002/people.html

Department of Pure Mathematics and Mathematical Statistics DPMMS People People at DPMMS University Academic Staff (Professors, Lecturers, etc.) Resident Academics (College Fellows etc.) Visitors Research Students M.Phil. Students Administrative Staff ... CMS Staff University Academic Staff (Professors, Lecturers, etc.) Dr P.M.E. Altham Analysis of discrete data, multivariate analysis, generalized linear modelling, computational statistics (R and S-Plus), graphical methods Prof. A. Baker, FRS Number theory, transcendence, logarithmic forms, effective methods, Diophantine geometry, Diophantine analysis Dr M.B. Batchelor Measuring coalgebras, comodules and their applications in geometry, physics and algebra Prof A.F. Beardon Complex analysis, hyperbolic geometry, discrete groups Dr C.J.B. Brookes Groups, non-commutative algebra and geometry, homological algebra Dr S.P. Brooks Stochastic simulation, optimisation, Markov chain Monte Carlo, Bayesian statistics, applications in ecology, sociology, archaeology, medicine and biology Dr T.K. Carne

169. Jan Homepage University of Leuven. number theory, algebraic Geometry, Singularity theory and Mathematical Logic. Publications, software. http://www.wis.kuleuven.ac.be/algebra/denef.html

Home Page of Jan Denef Hello! At work! Contents Work information Contact information Recent publications (since 1995) (3 new items) Electronic version of some older publications Complete publication list till 1994 Remarks to some of my papers Slides of some of my lectures ... Software developed under my direction (1 new item) Ph.D. theses under my direction (2 new items) Links to co-authors Other links Last Revised: January 21, 2005. Work Information Job title Full Professor of Pure Mathematics. Department University of Leuven Department of Mathematics Section of Algebra Research Unit “Algebraic Geometry and Number Theory” Fields of Research Number Theory, Algebraic Geometry, Singularity Theory and Mathematical Logic. Specific Research Topics Computational Number Theory, Igusa's Local Zeta Function and motivic analogues, Motivic and p-adic integration, Cohomological Study of Trigonometric Sums, Etale Cohomology, Monodromy, Asymptotics of Oscillating Integrals and Newton Polyhedra, Hilbert's Tenth Problem, Quantifier Elimination, Subanalytic Sets and Model Theory. Back to top Contact Information Address University of Leuven, Department of Mathematics, Celestijnenlaan 200 B

170. 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 [at] math.ntu.edu.tw Wen-Chen Chi Department of Mathematics National Taiwan Normal University wchi [at] math.ntnu.edu.tw Ka-Lam Kueh Institute of Mathematics Academia Sinica maklk [at] ccvax.sinica.edu.tw Chun-Chung Hsieh Institute of Mathematics Academia Sinica macchsieh [at] ccvax.sinica.edu.tw Fabien Trihan Institute of Mathematics Academia Sinica trihan [at] 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 [at] 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.

171. Hp Labs : Research : Information Theory : People Information theory Research Group, Advanced Studies Organization, HewlettPackard Laboratories. Research interests in digital communications, applications of number theory and algebraic geometry to communications, coding theory, mathematics of machine intelligence, theoretical computer science. Brief biography and preprints. http://www.hpl.hp.com/personal/Vinay_Deolalikar/index.htm

summary of site-wide JavaScript functionality United States-English Contact HP Search: HP Labs All of HP US Vinay Deolalikar Researcher printable version HP Labs Research Advanced Studies ... Downloads E-mail: vinayd (at) hpl.hp.com Phone: (650) 857-8605 FAX: (650) 852-3791 Location: Hewlett Packard Labs 1501 Page Mill Road Palo Alto, CA 94304 Professional Activities Senior Research Scientist, Information Theory Research Group, HP Labs Research Lead, Security and Cryptography Research, Sensor and Mobile Systems Lab, HP Labs HP's representative to security working group, EPC Global Biography Vinay Deolalikar received his 5-Year Master of Technology degree in Electrical Engineering from the Indian Institute of Technology (I.I.T.), Bombay, in 1994. His master's thesis involved studying the intractibility of mapping Boolean functions using neural networks with restricted sets of weight vectors as well as the effect of varying the neuron transfer functions on the ability of the network to classify regions in input space. From 1995 to 1999, Vinay was a doctoral student at the University of Southern California in Los Angeles. His doctoral thesis involved studies on two distinct but related problems: firstly, to find methods of constructing function fields over finite fields with many rational places, and secondly, to explicitly construct algebraic-geometric codes over towers of function fields meeting the Drinfeld-Vladut bound. In April 2000, Vinay received the University of Southern California's EE-Systems annual Outstanding Research Paper award for work towards the explicit construction of algebraic-geometric codes that beat the Gilbert-Varshamov bound.

172. Michael TSFASMAN Institute for Information Transmission Problems, Russian Academy of Sciences. algebraic geometry in relation to number theory (varieties over nonalgebraically closed fields, especially over finite fields and number fields, parallelism between the function field and number field case, curves, rational varieties, rational points and zero-cycles, elliptic curves and abelian varieties, towers of varieties and asymptotic theory); number theory (global fields, zeta-functions); Error-correcting codes; Lattices and sphere packings http://www.aha.ru/~tsfasman/

Updated: January 1999 Prof. Dr. Michael A. T s f a s m a n Michael A. Tsfasman Dobrushin Mathematics Laboratory, Institute for Information Transmission Problems, Russian Academy of Sciences, 19 Bolshoi Karetny, 101447 Moscow GSP-4, RUSSIA  Telephone: Fax: E-mail: tsfasman@iitp.ru Curriculum Vitae Books and research papers Family ... Independent University of Moscow There were visits on this homepage.

173. W.Y. Velez's Homepage University of Arizona. algebraic and elementary number theory; Group theory; Field theory; algebraic coding theory; Communication theory; Signal processing. Preprints and articles on educational issues. http://math.arizona.edu/~velez/

William Yslas Vélez Bill Vélez in 1965 Bill Vélez in 1995 Personal Information Curriculum Vitae Math 115a Articles Permutations of the positive integers with restrictions on the sequence of differences "University Faculty: Priming the Pump or Lying in Ambush?" "Integration of Research" "Academic Advising as an Aggressive Activity" ... "The Research Mathematician as Storyteller" Powerpoint Presentations James Leitzel Lecture, MathFest, August 6, 2005 Notes for Power Point James Leitzel Lecture Patents Method and Apparatus For Suppressing Interference From Bandspread Comunication Signals, J. W. Bond, T. Schlosser, W. Y. Vélez, (1991), Patent #5, 495, 497, Patent Date: 27 Feb., 1996 Method and Apparatus For Suppressing Linear Amplitude Interference From Bandspread Communication Signals, J. W. Bond, W. Y. Vélez, Patent #5, 495, 496, Patent date: 27 Feb., 1996. Simplified Interference Suppressor, James W. Bond, Stefen Hui, W. Y. Vélez, Patent #6,072,845, Patent date: 6 June 2000. Adaptive Processor Integrator for Interference Suppression, James W. Bond, Thomas W. Schlosser, W. Y. Vélez, Patent #6,173,167, Patent date: 9 January 2001 Some Links SACNAS HOMEPAGE

174. AMS Prize - Frank Nelson Cole Prize In Number Theory in number theory P This prize (and the Frank Nelson Cole Prize in Algebra) was 126; Simultaneous approximation to algebraic numbers by rationals, http://www.ams.org/prizes/cole-prize-number-theory.html

Frank Nelson Cole Prize in Number Theory Frank Nelson Cole Prize in Number Theory This prize (and the Frank Nelson Cole Prize in Algebra ) was founded in honor of Professor Frank Nelson Cole on the occasion of his retirement as Secretary of the American Mathematical Society after twenty-five years of service and as Editor-in-Chief of the Bulletin for twenty-one years. The original fund was donated by Professor Cole from moneys presented to him on his retirement, and was augmented by contributions from members of the Society. The fund was later doubled by his son, Charles A. Cole. The prize is for a notable paper in number theory published during the preceding six years. To be eligible, the author should be a member of the American Mathematical Society or the paper should have been published in a recognized North American journal. Currently, the US$5,000 prize is awarded every three years. First award, 1931: To H. S. Vandiver for his several papers on Fermat's last theorem published in the Transactions of the American Mathematical Society and in the Annals of Mathematics during the preceding five years, with special reference to a paper entitled On Fermat's last theorem , Transactions of the American Mathematical Society, volume 31 (1929), pp. 613-642.

175. Computational Number Theory Computational number theory studies problems from elementary, algebraic and analytic number theory which require the help of fast computers, http://db.cwi.nl/projecten/project.php4?prjnr=84

176. Christian U. Jensen University of Copenhagen. The general inverse problem of Galois theory both for algebraic number fields and for arbitrary fields. Contact information. http://www.math.ku.dk/cgi-bin/indiv?id=cujensen&lang=en

177. SECANTS Programmes SECANTS South of England Computational and Algorithmic number theory Seminars. Next meeting. SECANTS 24 22 May 2004, Bath. Programmes of previous meetings http://www.maths.nott.ac.uk/personal/jec/secants/meetings.html

SECANTS South of England Computational and Algorithmic Number Theory Seminars Next meeting: SECANTS 24 : 22 May 2004, Bath Programmes of previous meetings SECANTS 1 : Saturday 2 December 1995, Oxford SECANTS 2 : Saturday 2 March 1996, Goldsmiths SECANTS 3 : Saturday 1 June 1996, Oxford SECANTS 4 : Saturday 30 November 1996, Oxford SECANTS 5 : Saturday 22 March 1997, RHBNC SECANTS 6 : Saturday 14 June 1997, Oxford SECANTS 7 : Saturday 6 December 1997, Bristol SECANTS 8 : Saturday 14 March 1998, Oxford SECANTS 9 : Saturday 6 June 1998, Royal Holloway SECANTS 10 : Saturday 5 December 1998, Oxford SECANTS 11 : Saturday 27 February 1999, Nottingham SECANTS 12 : Saturday 26 June 1999, Oxford SECANTS 13 : Saturday 11 December 1999, Nottingham SECANTS 14 : Saturday 18 March 2000, Oxford SECANTS 15 : Saturday 17 June 2000, Oxford SECANTS 16 : Saturday 2 February 2002, Royal Holloway SECANTS 17 : Saturday 18 May 2002, Bristol SECANTS 18 : Saturday 14 September 2002, Royal Holloway SECANTS 19 : Saturday 7 December 2002, Oxford SECANTS 20 : Saturday 5 April 2003, Royal Holloway SECANTS 21 : Monday 22 September 2003, Bristol

178. Robin Chapman University of Exeter. number theory, algebra, combinatorics and problem solving. Papers, lecture notes and survey articles. http://www.maths.ex.ac.uk/~rjc/rjc.html

Robin Chapman's Home Page I'm a senior lecturer in Mathematics at the University of Exeter . My mathematical interests include number theory, algebra, combinatorics and problem solving. This is how I looked on 20th March 1999. I shall be appearing in the 2005 series of the BBC quiz programme Mastermind where my specialist subject will be The Life and Music of Igor Stravinsky . My heat now is scheduled to be broadcast on 20th September at 8pm on BBC2. This is my teaching page where you'll find details of courses, undergraduate projects etc. And this is my list of publications I have the following manuscripts available: Lecture notes: A Guide to Arithmetic ( dvi ps pdf Notes on Algebraic Numbers ( dvi ps pdf Algebraic Number Theory ( dvi ps pdf Preprints: Evaluation of the Dedekind eta function (with William Hart) ( dvi ps pdf to appear in Canadian Mathematical Bulletin Miscellaneous articles and surveys: Evaluating zeta(2) ( dvi ps pdf This gives (so far) fourteen proofs that the sum of the reciprocals of the squares of the natural numbers equals pi squared over six. Constructions of the Golay codes ( dvi ps pdf So far this is restricted to the binary Golay code. Eight constructions are given.

179. Expository Papers By K. Conrad Relativistic addition and group theory The fundamental theorem of algebra via linear algebra number theory Quadratic reciprocity in odd characteristic http://www.math.uconn.edu/~kconrad/blurbs/

Expository papers These were written up for various reasons: to accompany a talk for a (mathematically) general audience, to hand out as part of some notes in a course, or for some other purpose that I have since forgotten. If you find typographical or other errors in these files, please let me know. Algebra The Hurwitz theorem on sums of squares Pfister's theorem on sums of squares The Artin-Schreier theorem Relativistic addition and group theory ... The degree may not divide the size of the group Number theory Quadratic reciprocity in odd characteristic Quadratic reciprocity in characteristic 2 Rings of integers without a power basis A Non-free Relative Integral Extension ... Invariants of the splitting field of a cubic, V Analysis The fundamental theorem of algebra via multivariable calculus Probability distributions and maximum entropy L p ... p var sc_project=790751; var sc_partition=6; var sc_security="2ae0f47b"; var sc_invisible=1;

180. UR Math: Algebra And Number Theory Group Algebra and number theory Group. Members, research interests, seminar schedule. http://www.math.rochester.edu/research/algebra_and_number_theory/

Site map Search University of Rochester Mathematics ... Research groups Algebra and Number Theory 2003-2004 Number Theory seminar Permanent Faculty Steve Gonek gonek The Riemann zeta function, L functions, and the distribution of prime numbers. Naomi Jochnowitz what Algebraic number theory, modular forms, p-adic modular forms Saul Lubkin lubkin Algebraic geometry, homological algebra; Construction of algebraic-topological like invariants in algebraic geometry. Arnold Pizer apizer Algebraic number theory, arithmetic of quaternion algebras and its connections to modular forms, Brandt matrices, Hecke operators, and Ramanujan graphs. Sanford Segal ssgl Analytic and elementary number theory; complex analysis; history of Mathematics. Thomas Tucker ttucker Arithmetic geometry, diophantine equations, algebraic dynamics Postdoctoral Faculty Heekyoung Hahn hahn q-series, continued fraction, theta functions, partitions, modular forms, Eisenstein series, special functions. Current Graduate Students Micah Milinovich micah@math.rochester.edu

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