81. Jerome William Hoffman Lecture notes by Jerome Huffman (TeX,DVI,PDF).Category Science Math number theory algebraic......Jerome William Hoffman. Last Updated August 16, 2002 Rank Professorof Mathematics Degree Ph.D. Harvard University, 1977 (advisor http://www.math.lsu.edu/~hoffman/

Jerome William Hoffman Last Updated : August 16, 2002 Rank : Professor of Mathematics Degree : Ph.D.- Harvard University , 1977 (advisor Heisuke Hironaka ) A.B.- Princeton University Office : 374 Lockett Hall Address: Department of Mathematics LSU Baton Rouge , LA Phone : Fax : E-mail : hoffman@math.lsu.edu Teaching Spring 2000 Math 7290 Fall 2002 Math 4031-2 Research Interests Publications Grants Relevant Links

82. Number Theory And Algebraic Geometry Research Group number theory and algebraic Geometry Research Group. Members, research interest, seminars.Category Science Math number theory Research Groups...... PO Box 653, Be'erSheva 84105, ISRAEL. number theory and algebraic GeometryResearch Group. algebraic Geometry and number theory Seminar. http://www.math.bgu.ac.il/~efrat/resgroup.html

BEN GURION UNIVERSITY OF THE NEGEV DEPARTMENT OF MATHEMATICS P.O. Box 653, Be'er-Sheva 84105, ISRAEL Number Theory and Algebraic Geometry Research Group Eitan Bachmat PhD: MIT 1994 Main Research Interests: Arakelov theory, Hilbert modular varieties E-mail: ebachmat@cs.bgu.ac.il Daniel Berend PhD: The Hebrew University of Jerusalem 1982 Main Research Interests (in Number Theory): Distribution modulo 1 (especially density modulo 1), Diophantine approximations, some classes of Diophantine equations E-mail: berend@black.bgu.ac.il Amnon Besser PhD: Tel Aviv University 1993 Main Research Interests: Number theory, Arithmetic geometry, p-adic integration, p-adic cohomology, Shimura varieties, Automorphic forms, Algebraic cycles, Algebraic K-theory. E-mail: bessera@math.bgu.ac.il Ido Efrat PhD: Tel-Aviv University 1990 Main Research Interests: Galois theory, Field Arithmetic, Structure of Canonical Galois groups, Valuation theory E-mail: efrat@math.bgu.ac.il Sa'ar Hersonsky PhD: University of Illinois at Chicago 1994 Main Research Interests: Hyperbolic manifolds E-mail: saarh@math.bgu.ac.il

83. Number Theory http://www.ma.utexas.edu/users/voloch/numberthy.html

Number Theory at the Mathematics Dept. of the University of Texas Permanent faculty in Number Theory, and their fields of interest. Frank Gerth gerth@math.utexas.edu ): Algebraic number theory, including class numbers, class groups, discriminants, class field theory, density theorems, Iwasawa theory. John Tate tate@math.utexas.edu ): Algebraic Number Theory (local and global fields), Class Field Theory, Galois cohomology, Galois representations, L-functions and their special values, modular forms, elliptic curves and abelian varieties. Jeffrey Vaaler vaaler@math.utexas.edu ): Analytic number theory, Diophantine approximation and the geometry of numbers in local and global fields, Diophantine inequalities, polynomials, effective measures of irrationality and transcendence, applications of Fourier analysis in number theory, inequalities and extremal problems. villegas@math.utexas.edu ): Special values of L-functions (Birch-Swinnerton-Dyer and Bloch-Beilinson conjectures), arithmetic of elliptic curves, modular forms, Mahler measure of polynomials. Felipe Voloch voloch@math.utexas.edu

84. The USC Number Theory Home Page number theory Group. Members, research interests, courses, links.Category Science Math number theory Research Groups...... Michael Filaseta Research Interests number theory, including Analytic, ClassicalAlgebraic, Combinatorial, Computational, Elementary, and Transcedence topics. http://www.math.sc.edu/~filaseta/numthry.html

Number Theorists On Our Faculty Graduate Course Descriptions (in Number Theory) More About Our Department And University Some Other Links Of Interest ... Michael Filaseta Research Interests: Number Theory, including Analytic, Classical Algebraic, Combinatorial, Computational, Elementary, and Transcedence topics. I have particular interests in results associated with lattice points close to (or on) a curve or surface, the distribution of special sequences of integers in short intervals, applications of Pade approximations to Number Theory, the irreducibility of polynomials over the rationals, and computations with sparse or lacunary polynomials. Richard Hudson 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. Kate Hurley Research Interests: My research concerns modularity properties of VOAs. One can associate a q-graded function called a graded trace or one-point correlation function to a given VOA, and in some cases these functions are modular forms. I have worked on determining which modular forms are realized as graded traces. An additional recent interest of mine is inverse Galois theory. Charles Nicol (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.

85. Number Theory number theory. Notes home garrett@math.umn.edu See alsothe automorphic forms, Lfunctions, and representations stuff http://www.math.umn.edu/~garrett/m/number_theory/

Number Theory Notes home garrett@math.umn.edu See also the [ automorphic forms, L-functions, and representations stuff Overheads from talk on cyclotomic and Lucas-Aurifeuille-LeLasseur polynomials and factorizations Lucas-Lehmer criterion ] for primality of Mersenne numbers, including Pepin's criterion for primality of Fermat numbers. Belyi's proof of a conjecture of Grothendieck Hodge-podge of old exercises Quadratic reciprocity over global fields Newton polygons ... garrett@math.umn.edu The University of Minnesota explicitly requires that I state that "The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota."

86. Encyclopædia Britannica number theory Encyclopædia Britannica Article. MLA style number theory. Encyclopædia Britannica 2003 Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=117296

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