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