N I G E L    B O S T O N



Here are some recent papers. They are available as pdf files. They may be slightly different from the published versions. This page is under construction.


The proof of Fermat's last theorem.
N.Boston
Preprint.
pdf
Computing pro-p Galois groups.
N.Boston and H.Nover
Lecture Notes in Computer Science 4076, ANTS VII, 1--10.
pdf
Newton polytopes of two-dimensional hidden Markov models.
J.D.Wierer and N.Boston
Accepted to appear in Experimental Math.
pdf
Pro-p groups and towers of rational homology spheres.
N.Boston and J.Ellenberg
Geometry and Topology 10 (2006), 331--334.
pdf
Optimal linear combination of facial regions for improving identification performance.
K.C. Wong, W. Y. Lin, Y.H. Hu, N. Boston, and X. Zhang
Accepted to appear in IEEE Transactions SMC Part-B.
pdf
Galois groups of tamely ramified p-extensions.
N.Boston
Accepted to appear in Journal de Theorie des Nombres de Bordeaux.
pdf
Near-optimal codebook constructions for limited feedback beamforming in correlated MIMO channels with few antennas.
V.Raghavan, A.M.Sayeed, and N.Boston
Appeared in ISIT 2006.
pdf
Embedding 2-groups in groups generated by involutions.
N.Boston
Journal of Algebra 300 (2006), no. 1, 73--76.
pdf
Face recognition using 3D summation invariant features
W.-Y. Lin, K.-C. Wong, Y.-H. Hu, and N. Boston
Appeared in ICME 2006.
pdf
Arboreal Galois representations.
N.Boston and R.Jones
Submitted.
pdf
A handwritten digit recognition algorithm using two-dimensional hidden Markov models for feature extraction.
J.D.Wierer and N.Boston
Submitted.
pdf
3D face recognition using summation invariant features and similarity metrics fusion.
W.Y.Lin, K.C.Wong, N.Boston, and Y.H.Hu
Submitted.
pdf
The image of an arboreal Galois representation.
N.Boston and R.Jones
Submitted.
pdf
Fusion of summation invariants in 3D human face recognition.
W.-Y.Lin, K.C.Wong, N.Boston, and Y.H.Hu
Appeared in CVPR 2006.
pdf
3D human face recognition using summation invariants.
W.-Y.Lin, K.C.Wong, N.Boston, and Y.H.Hu
Appeared in ICASSP 2006.
pdf
Space-time code design based on algebraic number theory.
K.Liu, Z.Hong, N.Boston, and A.Sayeed
Submitted.
pdf
Summation invariant features for 3D face recognition.
W.-Y.Lin, N.Boston, and Y.H.Hu
Appeared in MMSP 2005.
pdf
When is limited feedback for transmit beamforming beneficial?
V.Raganthan, A.Sayeed, and N.Boston
Appeared in ISIT 2005.
pdf
Complete analysis of space time group codes.
S.Nitinawarat and N.Boston
Appeared in Allerton 2005.
pdf
Universally decodable matrices.
A.Ganesan and N.Boston
Appeared in Allerton 2005.
pdf
Integral invariants for surfaces in R3.
W.-Y.Lin, N.Boston, and Y.H.Hu
Submitted.
pdf
Risk and return considerations in the Weakest Link.
B.Ross Barmish and N.Boston
Submitted.
pdf
The distribution of Galois groups of p-class towers of imaginary quadratic fields.
N.Boston and M.Bush
Preprint.
pdf
Stylometric watermarking.
Q.Zhang and N.Boston
Preprint.
pdf
General watermarking systems and quantization index modulation with the E8 and Leech lattices.
Q.Zhang and N.Boston
Preprint.
pdf
Reducing the Fontaine-Mazur conjecture to group theory.
N.Boston
In `Progress in Galois Theory'', 39-50, 2005.
pdf
Summation invariant and its applications to shape recognition.
W.Y.Lin, N.Boston, and Y.H.Hu
Appeared in ICASSP 2005.
pdf
A cryptanalytic method for embedding video watermarks.
Q.Zhang and N.Boston
Appeared in ICASSP 2005.
pdf
Pipelined IIR filter architecture using pole-radius minimization.
N.Boston
Journal of VLSI Signal Processing, 39, 323-331, 2005.
pdf
Class numbers of p-groups of a given order.
N.Boston and I.M.Isaacs
Journal of Algebra 279 (2004), no. 2, 810-819.
pdf
Galois p-groups unramified at p - a survey.
N.Boston
Accepted to appear in AMS Contemporary Math series ``Knots and Primes''.
pdf
Graph-based codes.
N.Boston
Accepted to appear in AMS/IP applied math monograph series.
pdf
Graph-based codes (accompanying figures).
N.Boston
National Taiwan University CTS Series, 2004.
pdf
Strategies for the Weakest Link.
N.Boston
Amer. Math. Monthly 110 (2003), no. 4, 330-334.
pdf
Quantization index modulation using the E8 lattice.
Q.Zhang and N.Boston
Appeared in proceedings of Allerton 2003.
pdf
Is biometrics measuring up?
N.Boston
Journal of Law, Technology, and Policy, Fall 2002, 421-423.
pdf
Explicit computation of Galois p-groups unramified at p.
N.Boston and C.R.Leedham-Green
Journal of Algebra 256 (2002) no. 2, 402-413.
pdf
Genus two hyperelliptic curve coprocessor.
N.Boston, C.Clancy, Y.Liow, and J.Webster
Appeared in proceedings of CHES 2002.
pdf
Makhoul's conjecture for p = 2.
N.Boston
Appeared in proceedings of ICASSP 2001.
pdf
Bounding minimum distances of cyclic codes using algebraic geometry.
N.Boston
Appeared in proceedings of WCC 2001.
pdf
2-groups with few conjugacy classes.
N.Boston and J.Walker
Proc. Edinburgh Math. Soc. (2) 43 (2000), no. 1, 211-217.
pdf
The educational use of computer algebra systems at the University of Illinois.
N.Boston
Handbook of Computer Algebra: Foundations, Applications, Systems'', Springer 2001.
pdf
P-adic Galois representations and pro-p groups.
N.Boston
In ``New horizons in pro-p groups.'' Birkhauser 2000.
pdf
Maximal 2-extensions with restricted ramification.
N.Boston and D.Perry
Journal of Algebra 232 (2000), no. 2, 664-672.
pdf
Characteristic p Galois representations that are produced by Drinfeld.
N.Boston and D.Ose
Canadian Math. Bull. 43, no. 3, 282-293 (2000).
pdf
Identifiability of polynomial systems.
S.Basu and N.Boston
UIUC Technical Report.
pdf
Some cases of the Fontaine-Mazur conjecture, II.
N.Boston
Journal of Number Theory 75, no. 2, 161-169 (1999).
pdf
The unramified Fontaine-Mazur conjecture.
N.Boston
Proceedings of the ESF Conference on Number Theory and Arithmetical Geometry, Spain, 1997.
pdf
Counterexamples to a conjecture of Lemmermeyer.
N.Boston and C.R.Leedham-Green
Arch. Math. (Basel) 72, no. 3, 177-179 (1999).
pdf
The minimum distance of the [137,69] binary quadratic residue code.
N.Boston
IEEE Transactions in Information Theory 45, no. 1, 282 (1999).
pdf
A use of computers to teach group theory and introduce students to research.
N.Boston
Journal of Symbolic Computation 23, 453-458 (1997).
pdf
Some calculus and open problems in finite group theory.
N.Boston
Proceedings of the First Jamaican Conference on Group Theory and its Applications'' (1997).
pdf
A probabilistic generalization of the Riemann zeta function.
N.Boston
In ``Analytic Number Theory: Proceedings of a Conference in Honor of Heini Halberstam, Volume I'' (1996).
pdf
A Taylor-made plug for Wiles' proof.
N.Boston
College Mathematics Journal 26 (2), 100-105 (1995)
pdf
Review of Marilyn vos Savant's book ``The world's most famous math problem''
N.Boston and A.Granville
American Mathematical Monthly, 102, 470-473 (1995).
pdf
A refinement of the Faltings-Serre method.
N.Boston
Seminaire de Theorie des Nombres, Paris, 1992-93.
pdf
Quadratics representing primes.
N.Boston and M.Greenwood
American Mathematical Monthly 102, 595-599 (1995).
pdf
The proportion of fixed-point-free elements of a transitive permutation group.
N.Boston, W.Dabrowski, T.Foguel, P.Gies, D.Jackson, J.Leavitt, and D.Ose
Communications in Algebra 21 (9), 3259-3275 (1993).
pdf
Representations related to CM elliptic curves.
N.Boston and S.Ullom
Mathematical Proceedings Cambridge Philosophical Society 113, 71-85 (1993).
pdf
Some cases of the Fontaine-Mazur conjecture.
N.Boston
Journal of Number Theory 42, 285-291 (1992).
pdf
Families of Galois representations - increasing the ramification.
N.Boston
Duke Mathematical Journal 66, 357-367 (1992).
pdf
Quotients of group rings arising from two-dimensional representations.
N.Boston, H.W.Lenstra Jr., and K.Ribet
C. R. Acad. Sci. Paris, t.312, Serie I, 323-328 (1991).
pdf
Explicit deformation of Galois representations.
N.Boston
Inventiones Mathematicae 103, 181-196 (1991).
pdf
Explicit universal deformations of Galois representations.
N.Boston and B.Mazur
Advanced Studies in Pure Mathematics 17, 1-21 (1989).
pdf
Deformations of Galois representations associated to the cusp form \Delta.
N.Boston
Seminaire de Theorie des Nombres, Paris, 1987-88.
pdf
On p-adic analytic families of Galois representations.
N.Boston, appendix to B.Mazur and A.Wiles
Compositio Mathematica 59, 231-264 (1986).
pdf
A class of soluble groups.
N.Boston
Journal of Algebra 91, 320-327 (1984).
pdf