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\centerline{\bf CURRICULUM VITAE}
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\leftline{\bf JOHN BRITTAIN LITTLE}
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\vbox{\settabs 2 \columns
\+Department of Mathematics and CS&home address:\cr
\+College of the Holy Cross&39 William St. Apt. 402\cr
\+Worcester, MA 01610&Worcester, MA 01609\cr
\+(508) 793-2274&(508) 755-5090\cr}
\bigskip
\leftline{\bf PERSONAL DATA}
\bigskip
\item{$\bullet$}  Born January 15, 1956, Elmira, NY; U.S. citizen
\item{$\bullet$}  Single

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\leftline{\bf EDUCATION}
\bigskip
\vbox{\settabs 4 \columns
\+Haverford College&1972-1976&B.A., major in mathematics, 1976\cr
\+Yale University&1976-1980&Ph.D. in mathematics, 1980\cr
\+Harvard University&1979-1980&Visiting scholar\cr}

\bigskip
\leftline{\bf ACADEMIC HISTORY}
\bigskip
\vbox{\settabs 3 \columns
\+1978-1979&Graduate Teaching&Yale University\cr
\+&Assistant&\cr
\+1980-1986&Assistant Professor&College of the Holy Cross\cr
\+&of Mathematics&\cr
\+1986-2003&Associate Professor&College of the Holy Cross\cr
\+&of Mathematics&\cr
\+1993-94&Visiting Fellow&Cornell University,\cr
\+&&Mathematical Sciences Institute\cr
\+Spring 2003&Member&Mathematical Sciences Research\cr
\+&&Institute, Berkeley CA\cr
\+2003-present&Professor&College of the Holy Cross\cr
\+&of Mathematics&\cr
}

\bigskip
\leftline{\bf ACADEMIC AWARDS}
\bigskip
\item{$\bullet$}Graduated from Haverford College {\it magna cum laude\/}, with departmental honors in mathematics.
\item{$\bullet$}Phi Beta Kappa, Haverford College, 1975
\item{$\bullet$}O'Leary Faculty Recognition Award, Holy Cross, 2002
\item{$\bullet$}Holy Cross Distinguished Teaching Award, 2003
\item{$\bullet$}Swords Medal (25 years of service), 2005

\vfill\eject
\bigskip
\leftline{\bf PRINCIPAL MATHEMATICAL INTERESTS}
\bigskip
Algebraic Geometry, Commutative Algebra, Computational Methods,
Applications in Algebraic Coding Theory and Signal Processing
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\bigskip
\leftline{\bf ARTICLES IN REFEREED JOURNALS}
\bigskip
\item{1.} {\it Translation Manifolds and the Converse of Abel's Theorem\/},
      {\sl Compositio Mathematica}, {\bf 49} (1983), 147-171.

\item{2.} {\it On the Converse of Abel's Theorem in Characteristic $p$\/},
      {\sl Manuscripta Mathematica}, {\bf 46} (1984), 27-63.

\item{3.} {\it Characterizing Curves on Surfaces of Special Types\/}, 
      {\sl Mathematische Annalen}, {\bf 271} (1985), 459-465.

\item{4.} {\it On Some Analogs of the Reiss Relation for Curves on Rational
      Ruled Surfaces\/}, {\sl Duke Mathematical Journal}, {\bf 52} (1985),
      909-922.

\item{5.} {\it On Lie's Approach to the Study of Translation Manifolds\/},
      {\sl Journal of Differential Geometry}, {\bf 26} (1987), 253-272.

\item{6.} {\it On Webs of Maximum Rank}, {\sl Geometriae Dedicata}, {\bf 31} 
      (1989), 19-35.

\item{7.} (with Kathryn Furio) {\it On the Distribution of Weierstrass
      Points on Rational Nodal Curves\/}, {\sl Pacific Journal of 
      Mathematics}, 144 (1990), 131-136.

\item{8.} {\it Distribution of Weierstrass Points on Rational Cuspidal
      Curves}, {\sl Canadian Mathematical Bulletin}, {\bf 33} (1991), 184-189.

\item{9.}  (with Chris Heegard and Keith Saints) {\it Systematic
      Encoding via Groebner Bases for a Class of Algebraic Geometric
      Goppa Codes}, {\sl IEEE Transactions on Information Theory}, {\bf 41},
      no. 6 (1995), 1752-1761.

\item{10.} (with Chris Heegard and Keith Saints)  {\it On the Structure
      of Hermitian Codes\/}, {\sl Journal of 
      Pure and Applied Algebra}, {\bf 121} (1997), 293-314.
      
\item{11.} (with David Ortiz, Ricardo Ortiz-Rosado, Rebecca Pablo, and
Karen Rios-Soto) {\it Some Remarks on Fitzpatrick and Flynn's Gr\"obner
Basis Method for Pad\'e Approximation},
{\it Journal of Symbolic Computation}, {\bf 35} (2003), 451-461.

\item{12.}  {\it Solving the Selesnick-Burrus Filter Design Equations Using
Compututational Commutative Algebra and Algebraic Geometry}, 
{\sl Advances in Applied Mathematics}, {\bf 31} (2003), 463-500.

\item{13.} {\it On the Zeroes of Two Families of Polynomials Arising From Certain 
Rational Integrals}, {\sl Rocky Mountain Journal of Mathematics},
{\bf 35} (2005), 1205 - 1216.

\item{14.} (with George Boros,
Victor Moll, Edward Mosteig, and Richard Stanley) {\it A Map on the Space of Rational Functions} , 
{\sl Rocky Mountain Journal of Mathematics} {\bf 35} (2005), 1861-1880.

\item{15.} (with Leah Gold and Hal Schenck) 
{\it Cayley-Bacharach and Evaluation Codes on Complete Intersections},
{\sl Journal of Pure and Applied Algebra} {\bf 196} (2005), 91-99.

\item{16.} (with Cristina Ballantine and Sharon Frechette) {\it Determinants
Associated to Zeta Matrices of Posets},  {\sl Linear Algebra and 
Its Applications} {\bf 411} (2005), 364-370.

\item{17.} (with Hal Schenck) {\it Toric surface codes and Minkowski sums}, 
{\sl SIAM Journal on Discrete Mathematics} {\bf 20} (2006), 999-1014.

\item{18.} (with Ryan Schwarz) {\it On toric codes and multivariate Vandermonde
matrices}, {\sl Applicable Algebra in Engineering, Communications, and
Computing} {\bf 18} (2007), 349-367.

\item{19.}  {\it The Ubiquity of Order Domains for the Construction of Error 
Control Codes}, {\sl Advances in Mathematics of Communications} {\bf 1}
(2007), 151-171.

\item{20.}  {\it Erratum for: The Ubiquity of Order Domains for the Construction of Error 
Control Codes}, {\sl Advances in Mathematics of Communications} {\bf 2}
(2008), 344-345.

\bigskip
\leftline{\bf ARTICLES IN CONFERENCE PROCEEDINGS}
\bigskip
\item{1.} {\it Translation Manifolds and the Schottky Problem\/}, 
      {\sl Proceedings of Symposia in Pure Mathematics}, {\bf 49}, 
      part 1 (1989) 517-529.
      
\item{2.}  {\it The Algebraic Structure of Some AG Goppa Codes}, Proceedings
of 33rd Annual Allerton Conference on Communication, Control, and Computing, 
(1995) University of Illinois, 492-500.

\item{3.}  {\it Canonical Curves and the Petri Scheme}, in {\sl Gr\"obner
Bases and Applications (Proceedings of ``33 Years of Gr\"obner
Bases'', RISC-Linz, 1998)}, B. Buchberger, and F. Winkler, eds., London Mathematical
Society Lecture Note Series 251, Cambridge University Press, 1998, 381-392.

\item{4.}  {\it A key equation for codes from order domains}, in
Advances in Coding Theory and Cryptography,
T. Shaska, W. C. Huffman, D. Joyner, V. Ustimenko, eds.  World Scientific, 
2007.  

\item{5.} {\it Automorphisms and Encoding of AG and Order Domain Codes},
to appear in Proceedings of RISC D1 Workshop on Applications of Gr\"obner
bases in Coding Theory and Cryptography.

\bigskip
\leftline{\bf PREPRINTS}
\bigskip
\item{1.} {\it Another Connection Between Approaches to the Schottky
      Problem\/}, arXiv alg-geom/9202010.
      
\item{2.} {\it A key equation and the computation of error values for 
codes from order domains}, arXiv math.AC/0303299.


\bigskip
\leftline{\bf BOOK CHAPTERS}
\bigskip
\item{1.}  {\it Applications To Coding Theory\/}, in {\sl Applications
of Computational Algebraic Geometry}, D. Cox and B. Sturmfels, eds.
Proceedings of Symposia in Applied Mathematics, v. 53, American 
Mathematical Society, 1997, 143-167.

\item{2.} {\it Algebraic geometry codes from higher-dimensional varieties}, 
in {\sl Advances in Algebraic Geometry Codes}, E. Martinez-Moro,
Carlos Munera, and D. Ruano, eds. World Scientific, 2009.

\bigskip
\leftline{\bf BOOKS}
\bigskip
\item{1.} (with David Damiano) {\sl A Course in Linear Algebra}, 
      Orlando: Harcourt Brace Jovanovich, 1988.
\item{2.} (with David Cox, Donal O'Shea) {\sl Ideals, Varieties, and Algorithms}, 
      New York: Springer Verlag, 1992, second edition, 1996, third edition 2007. 
      (Japanese translation, 
      2000, Russian translation 2000.)
\item{3.}  (with David Cox, Donal O'Shea) {\sl Using Algebraic Geometry},
New York: Springer Verlag, 1998, second edition, 2005. (Japanese translation, 2000.)

\bigskip
\leftline{\bf RECENT TALKS}
\bigskip
\item{1.} {\it Symbolic Algebra Techniques in Algebraic Coding Theory}, 
NSA Computational Algebra Seminar, Fort Meade, MD, 8/8/1995
\item{2.} {\it The Algebraic Structure of Some AG Goppa Codes},
33rd Annual Allerton Conference on Communication, Control, and
Computing, University of Illinois, Urbana-Champaign, IL, 10/1/1995
\item{3.} {\it Error-Correcting Codes from Algebra and Geometry},
Boston University Undergraduate Mathematics Club, 2/26/1996
\item{4.} {\it Applications to Coding Theory}, AMS Short Course
on Applications of Computational Commutative Algbra, at Joint 
Mathematics Meetings in San Diego, CA, 1/10/1997
\item{5.} {\it Gr\"obner Bases and Integer Programming}, in MAA
Short Course on Computational Commutative Algebra and Applications,
at Joint Mathematics Meetings in Baltimore, MD, 1/10/1998
\item{6.} {\it Canonical Curves and the Petri Scheme}, 33 Years
of Gr\"obner Bases Conference at RISC-Linz, Austria, 2/20/1998
\item{7.} {\it Signal Processing and Commutative Algebra}, in
SIMU Colloquium, University of Puerto Rico at Humacao, 7/20/2000
\item{8.} {\it Solving the Selesnick-Burrus Filter Design Equations},
in AMS Special Session on Commutative Algebra and Applications, 
Sectional Meeting in Hoboken, NJ, 4/29/2001
\item{9.} {\it Applications of Computational Commutative Algebra
in Signal Processing}, Grostat V Conference, Tulane University,
New Orleans, LA, 9/4/2001
\item{10.} {\it Applications of Computational Algebraic
Geometry in Signal Processing}, Memorial Conference for Ruth Michler, 
Annapolis, MD, 10/28/2001
\item{11.} {\it Counting the Number of Solutions of A System of 
Polynomial Equations}, SIMU Colloquium, University of Puerto Rico
at Humacao, 6/21/2002
\item{12.} {\it An Application of Symbolic Computational Algebra
in Signal Processing}, Fields Institute SCA2002 Conference, 
University of Western Ontario, London, Ontario, Canada, 7/15/2002
\item{13.} {\it Order Domains}, UC Berkeley/MSRI Computational 
Algebra Seminar, 2/10/2003.
\item{14.} {\it Error-Correcting Codes from Algebra and Geometry},
Loyola Marymount University Mathematics Colloquium, 3/20/2003.
\item{15.}  {\it An Application of Symbolic Computational Algebra
in Signal Processing}, MSRI Resultants Seminar, 3/26/2003.
\item{16.}  {\it Order Domains}, Tulane University Mathematics 
Colloquium, 4/24/2003.
\item{17.}  {\it Order Domains}, MSRI Commutative Algebra Seminar,
4/28/2003.
\item{18.} {\it Error-Correcting Codes from Algebra and Geometry},
Texas A\&M University Algebra-Combinatorics Seminar, 7/10/2003.
\item{19.} {\it Error-Correcting Codes from Algebra and Geometry},
Minicourse at SACNAS Annual Meeting, 10/2/2003.
\item{20.}  {\it Order Domains and Generalized Goppa Codes},
AMS Special Session on Coding and Design-Theoretic Applications of 
Polynomials, Joint Mathematics Meetings, Phoenix, AZ, 1/7/2004.
\item{21.} {\it Applications of Computational Commutative Algebra
in Statistics}, Clemson University Algebra and Discrete Math Seminar,
2/5/2004.
\item{22.}  {\it Error-Correcting Codes from Algebra and Geometry},
Minicourse at SACNAS Annual Meeting, 9/25/2004.
\item{23.}  {\it An Introduction to Computational
Commutative Algebra and an Application in Statistics}, WPI Mathematics
Department Colloquium, 1/14/2005.
\item{24.}  {\it An Introduction 
to Computational Commutative Algebra and an Application in Statistics},
Oberlin College Mathematics Colloquium, 5/5/2005.
\item{25.}  {\it Symmetry in Music}, Mathematics Institute at
SACNAS Annual Meeting, 10/1/2005.
\item{26.}  {\it Toric Codes}, Valley Geometry Seminar, U. Mass. Amherst,
3/31/06.
\item{27.}  {\it Gr\"obner Bases for Encoding of Certain Codes from 
Order Domains}, D1 Workshop on Gr\"obner bases in Coding Theory, RISC-Linz,
5/1/06.
\item{28.}  {\it Error-Correcting Codes from Algebra and Geometry},
Minicourse at Texas Algebraic Geometry Seminar Workshop, 5/17 - 5/19/06.
\item{29.}  {\it Toric Codes}, Texas Algebraic Geometry Seminar, Texas
A \& M University, 5/20/06.
\item{30.}  {\it Toric Codes}, Northeast Discrete Math Day, Holy Cross,
11/11/06.
\item{31.}  {\it Mathematics and Music}, Northeastern Sectional Meeting
of the MAA, Sacred Heart University, 11/18/06.
\item{32.}  {\it Gr\"obner bases and polynomial equations}, University
of South Alabama Mathematics Department Colloquium, 4/5/07.
\item{33.}  {\it Order domains}, University of South Alabama Algebra
Seminar, 4/6/07.
\item{34.}  {\it Toric Codes}, AMS Special Session on Linear Codes
over Rings and Modules, Western Michigan University, 10/17/08.
\bigskip
\leftline{\bf GRANTS}
\bigskip
\item{1.}  Co-PI with D. Cox (Amherst College) and D.O'Shea (Mount Holyoke
College) on NECUSE (Pew Charitable Trusts) grant in 1988 for \$35,000 
entitled {\it Computational Algebraic Geometry}.
\item{2.}  Co-PI with E. Cattani (University of MA), M. Conway
(Longmeadow HS), D. Cox (Amherst College), R. Currier (Smith College),
T. Garrity (Williams College), K. Hoffman (Hampshire College), and 
D. O'Shea (Mount Holyoke College) on a three year (1990-1993) NSF grant 
DMS-9013220 for \$1,425,835, entitled {\it Geometry in 
the Machine Age: A Regional Geometry Institute}.
\item{3.}  Co-PI with D.Cox (Amherst College) and D.O'Shea (Mount Holyoke
College) on NSF Undergraduate Course and Curriculum Development (CCD)
grant (1996-7) DUE-9666132, for \$45,004, entitled {\it Computational Algebra and Geometry}.


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\leftline{\bf OTHER PROFESSIONAL ACTIVITIES}
\bigskip
\item{$\bullet$} Reviewer for {\sl Mathematical Reviews}
\item{$\bullet$} Referee for {\sl Journal of Pure and Applied Algebra},
{\sl Journal of Symbolic Computation}, {\sl IEEE Transactions on 
Information Theory}, {\sl Computers and Mathematics},{\sl Advances in 
Applied Mathematics}, {\sl Mathematics of Computation}, {\sl Computers 
and Mathematics}, {\it Applied Mathematics Letters}, {\sl Experimental Mathematics}
\item{$\bullet$} Grant proposal reviewer for the National Science Foundation
\item{$\bullet$} Book reviewer for Academic Press, W.H.Freeman,
D.C.Heath, Springer Verlag, Wiley

\bigskip
\leftline{\bf MEMBERSHIPS}
\bigskip
   \item{}American Mathematical Society
   \item{}Mathematical Association of America
   \item{}IEEE, Information Theory Society
   \item{}SACNAS (Society for the Advancement of Chicanos and 
   Native Americans in Science)

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