Roger C. Alperin

I am a professor on the faculty of the Department of Mathematics

San Jose State University, located in downtown 

San Jose, California.

RECENT COURSES

  • Math 30-Calculus 1    
  • Math 32-Calculus 3    
  • Math 42-Discrete Math    
  • Math 115-Geometry and Transformations    
  • Math 126-Number Theory     
  • Math 128a-Abstract Algebra I    
  • Math 128b-Abstract Algebra II    
  • Math 129a-Linear Algebra
  • Math 211-Projective Geometry    
  • Math 221-Graduate Algebra    
  • Math 226-Number Theory    
  • Isometric Hel-to-cat

    RECENT PUBLICATIONS

    Group Theory

  • Platonic Triangles of Groups, Experimental Mathematics, January 1999
  • The Boundary of the Gieseking Tree in Hyperbolic Three-Space , Topology and Its Applications, May 1999
  • Solvable Groups of Exponential Growth , Groups-Korea '98, De Gruyter, January 2000
  • Uniform Exponential Growth of Polycyclic Groups , Geometria Dedicata 2002
  • Schottky Lemma for Nonpositively Curved Singular Spaces , Geometria Dedicata 2002
  • Uniform Exponential Growth, Actions on Trees and GL_2 , 2002, AMS Contemporary Math. 298
  • Nonvanishing of entropy for lattices in Lie groups of rank one , Int. J. Alg. and Comp., Nov. 2005
  • Splitting Theorem for Linear Polycyclic Groups , New York J. of Math., May 2009
  • Undistorted Solvable Linear Groups , Trans. AMS, 363, 3185-3210, 2011
  • Algebra and Number Theory

  • Plimpton 322 , March 2004
  • Rationals and the Modular Group , MAA Monthly, 1999
  • The Quartic Surface of Perfect Hexahedra , Rocky Mountain J., March 2001
  • A Characterization of Finite Rings , March 2004
  • The Modular Tree of Pythagoras , MAA Monthly, November 2005
  • Remarks on a Problem of Eisenstein , JP Journal of Algebra & Number Theory, January 2007
  • Golomb Rulers, Math. Mag. 84(1) Feb. 2011, 48-55
  • Integral Cayley Graphs , E. J. Combinatorics, Feb. 2012, #44
  • Integer Sequences generated by x[n+1]x[n-1]=x[n]x[n]+A, Fibonacci Quarterly, 49, 362-5, 2012
  • Integral Sets and the Center of a Finite Group , Canadian Math. Bulletin, 2013
  • Rational Subsets of Finite Groups , Int'l J. Group Theory, 2014
  • Geometry and Mathematical Origami

  • The Mathematics of Origami, New York Journal of Mathematics, July 2000
  • Mathematical Origami and Alhazen's Problem & Origami Heptagon, 3rd International Meeting of Origami(3OSME), A. K. Peters, 2002
  • Grand Tour of Pedals of Conics , Forum Geometricorum 2004
  • Totally Real Pentagon, January 2004
  • Trisections and Totally Real Origami, MAA Monthly 2005
  • One-, Two- and Multifold Origami Axioms, (with Robert J. Lang) Proceedings of 4th OSME Conference-September 2006, AKPeters
  • Totally Real Heptagon, Jan. 2007
  • Cube Edge Colorings, July 2007
  • Poncelet Pencil of Rectangular Hyperbolas , Forum Geometricorum 2010
  • Origami Constructions in the Hyperbolic Plane, 5OSME, July 2010
  • Solving Euler's Triangle Problems with Poncelet's Pencil , Forum Geometricorum 2011
  • Constructions with Circle and Origami, March 2011
  • Gauss-Newton Lines and Eleven Point Conics, Journal of Geometry and Graphics, 2012
  • Folding the Hyperbolic Crane , Math. Intelligencer, Summer 2012, with Barry Hayes and Robert Lang
  • More links to some of my other interests and their sites: math conferences, Conference Photos, Geometry Junkyard, hiking, Yosemite, Geogebra , origami, factoring and number theory, curves, Theoretical Computer Science on the Web, Department Retirement Party

    Some SJSU online journals:

  • JSTOR
  • ScienceDirect
  • SpringerLink
  • Wiley Interscience
  • Academic Search Premier
  • Web of Science
  • ACM Online Guide to Computing Literature
  • ACM Digital Library
  • Engineering Village
  • IEEE Xplore
  • SIAM's Online Journal Archive
  • Ingenta
  • Some excellent search engines:

  • MathSciNet
  • MAA Journals
  • CS
  • Front

  • alperin @ math.sjsu.edu

    Department of Mathematics
    College of Science
    San Jose State University
    San Jose, California, 95192, USA
        Office Hours
    T, Th: 10:30-11:15, 2:45-4:00 or by appt
    239 Duncan Hall
    Phone: (408) 924-5066
    Fax: (408) 924-5080

    Created: Oct 7 1998

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