Nigel Boston
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British-American mathematician
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Nigel Bostonmathematics Degrees
Mathematics
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#5546
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#1375
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Number Theory
#154
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#203
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#32
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Algebra
#661
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#871
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#121
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Measure Theory
#4203
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#4952
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#1180
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Mathematics
Nigel Boston's Degrees
- Bachelors Mathematics University of Oxford
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Why Is Nigel Boston Influential?
(Suggest an Edit or Addition)According to Wikipedia, Nigel Boston is a British-American mathematician, who has made notable contributions to algebraic number theory, group theory, and arithmetic geometry. He attended Harvard University, earning his doctorate in 1987, under supervision of Barry Mazur. He is a Professor Emeritus at the University of Wisconsin–Madison. In 2012, he became a fellow of the American Mathematical Society.
Nigel Boston's Published Works
Published Works
- Quotients of group rings arising from two-dimensional representations (1991) (78)
- A characterization of deterministic sampling patterns for low-rank matrix completion (2015) (75)
- Explicit deformation of Galois representations (1991) (56)
- Some cases of the Fontaine-Mazur conjecture (1992) (45)
- Heuristics for p-class towers of imaginary quadratic fields (2011) (45)
- The proportion of fixed-point-free elements of a transitive permutation group (1993) (44)
- Settled polynomials over finite fields (2012) (43)
- The Image of an Arboreal Galois Representation (2009) (42)
- A probabilistic generalization of the Riemann zeta function (1996) (37)
- Genus Two Hyperelliptic Curve Coprocessor (2002) (37)
- The weight distributions of cyclic codes with two zeros and zeta functions (2010) (32)
- A Note on Beauville p-Groups (2011) (30)
- Explicit Universal Deformations of Galois Representations (1989) (30)
- Deterministic conditions for subspace identifiability from incomplete sampling (2014) (29)
- Arboreal Galois representations (2007) (28)
- An Infinite Family of 2-Groups with Mixed Beauville Structures (2013) (26)
- Summation invariant and its applications to shape recognition (2005) (23)
- Some cases of the Fontaine-Mazur conjecture, II (1998) (23)
- Pro–$p$ groups and towers of rational homology spheres (2006) (23)
- Non-abelian Cohen–Lenstra heuristics over function fields (2016) (23)
- 3D Face Recognition Under Expression Variations using Similarity Metrics Fusion (2007) (20)
- Families of Galois representations—increasing the ramification (1992) (20)
- Fusion of Summation Invariants in 3D Human Face Recognition (2006) (20)
- Explicit computation of Galois p-groups unramified at p (2000) (20)
- New examples of Beauville surfaces (2012) (19)
- Optimal Linear Combination of Facial Regions for Improving Identification Performance (2007) (19)
- Near-Optimal Codebook Constructions for Limited Feedback Beamforming in Correlated MIMO Channels with Few Antennas (2006) (19)
- Robust and Accurate Curvature Estimation Using Adaptive Line Integrals (2010) (17)
- THE PROOF OF FERMAT'S LAST THEOREM (2008) (17)
- Large violations of the Ingleton inequality (2012) (16)
- p-adic Galois Representations and pro-p Galois Groups (2000) (15)
- Computing Pro-P Galois Groups (2006) (15)
- A Survey of Beauville p-Groups (2015) (15)
- When is limited feedback for transmit beamforming beneficial? (2005) (14)
- Bounding minimum distances of cyclic codes using algebraic geometry (2000) (14)
- GALOIS p-GROUPS UNRAMIFIED AT p - A SURVEY (2005) (11)
- HEURISTICS FOR $p$ -CLASS TOWERS OF REAL QUADRATIC FIELDS (2018) (11)
- Galois groups of tamely ramified $ p$-extensions (2007) (11)
- Representations related to CM elliptic curves (1993) (11)
- Embedding 2-groups in groups generated by involutions (2006) (10)
- Reducing the Fontaine-Mazur Conjecture to Group Theory (2005) (10)
- Fusion of Multiple Facial Regions for Expression-Invariant Face Recognition (2007) (10)
- On the Belgian chocolate problem and output feedback stabilization: Efficacy of algebraic methods (2012) (9)
- Maximal 2-Extensions with Restricted Ramification (2000) (9)
- Class numbers of p-groups of a given order (2004) (9)
- Regular Algebraic Surfaces, Ramification Structures and Projective Planes (2015) (8)
- Counterexamples to a conjecture of Lemmermeyer (1998) (8)
- The Minimum Distance of the [137, 69] Binary Quadratic Residue Code (1999) (8)
- QUADRATICS REPRESENTING PRIMES (1995) (8)
- 3D Human Face Recognition Using Summation Invariants (2006) (7)
- Quantization Index Modulation using the E 8 lattice (2003) (7)
- Random pro-$p$ groups, braid groups, and random tame Galois groups (2011) (7)
- A Refined Conjecture for Factorizations of Iterates of Quadratic Polynomials over Finite Fields (2015) (7)
- On the Algebraic Structure of Linear Tail-Biting Trellises (2015) (7)
- The Distribution of the Number of Real Solutions to the Power Flow Equations (2020) (7)
- Regular algebraic surfaces isogenous to a higher product constructed from group representations using projective planes (2011) (7)
- Distributions of the Number of Solutions to the Network Power Flow Equations (2018) (6)
- The Geometry of Real Solutions to the Power Flow Equations (2018) (6)
- A Multivariate Weight Enumerator for Tail-biting Trellis Pseudocodewords (2015) (6)
- A Taylor-made Plug for Wiles' Proof (1995) (6)
- Tree representations of Galois groups (2000) (6)
- A Handwritten Digit Recognition Algorithm using Two-Dimensional Hidden Markov Models for Feature Extraction (2007) (6)
- Deformations of Galois Representations Associated to the Cusp Form (1990) (6)
- Spaces of constant rank matrices over GF(2) (2010) (6)
- Risk and Return Considerations in “The Weakest Link” (2009) (6)
- Pro-p Extensions of Global Fields and pro-p Groups (2006) (5)
- On the Distribution of Real-Valued Solutions to the Power Flow Equations (2019) (5)
- A refinement of the Four-Atom Conjecture (2013) (4)
- The World's Most Famous Math Problem: The Proof of Fermat's Last Theorem and Other Mathematical Mysteries (1993) (4)
- Matrix representations of trellises and enumerating trellis pseudocodewords (2011) (4)
- Corrections to "A Characterization of Deterministic Sampling Patterns for Low-Rank Matrix Completion" (2016) (4)
- Number Theory: A refinement of the Faltings–Serre method (1995) (3)
- A Use of Computers to Teach Group Theory and Introduce Students to Research (1997) (3)
- Errata to “Settled polynomials over finite fields” (2019) (3)
- A cryptanalytic method for embedding video watermarks (2005) (3)
- 2-groups with few conjugacy classes (2000) (3)
- Characteristic p Galois Representations That Arise from Drinfeld Modules (2000) (3)
- THE 2-CLASS TOWER OF Q( (2017) (3)
- Algebraic Number Precoding for Space–Time Block Codes (2009) (3)
- Exploiting symmetry in the power flow equations using monodromy (2020) (3)
- Elliptic and Hyperelliptic Curve Cryptography (2009) (3)
- Makhoul's conjecture for p = 2 (2001) (2)
- Strategies for The Weakest Link (2003) (2)
- Summation Invariant Features for 3D Face Recognition (2005) (2)
- The Factorization Theorem and new algebraic insights into the theory of linear trellises (2012) (2)
- Applications of Algebra to Communications, Control, and Signal Processing (2012) (2)
- Robust geometrically invariant features for two-dimensional shape matching and three-dimensional face recognition (2006) (2)
- Face Recognition using 3D Summation Invariant Features (2006) (2)
- Newton Polytopes of Two-Dimensional Hidden Markov Models (2007) (2)
- FROM MOVING FRAMES TO SUMMATION INVARIANTS : PROCEDU RES , PROPERTIES AND APPLICATION (2007) (1)
- Multiscale Integral Invariants For Facial Landmark Detection in 2.5D Data (2007) (1)
- Heuristics for 2-class Towers of Cyclic Cubic Fields (2020) (1)
- Pipelined IIR Filter Architecture Using Pole-Radius Minimization (2005) (1)
- Characteristic p Galois representations that are produced by Drinfeld (1997) (1)
- On the Algebraic Structure of Linear Trellises (2014) (1)
- Surveys in number theory : papers from the Milennial Confrerence on Number Theory (2002) (1)
- The World's Most Famous Math Problem (The Proof of Fermat's Last Theorem and Other Mathematical Mysteries). By Marilyn vos Savant (1995) (1)
- Stylometric Watermarking (2008) (1)
- Spaces of constant rank matrices over . (2010) (1)
- Graph-based Codes (2004) (0)
- The $2$-Class Tower of $\mathbb{Q}(\sqrt{-5460})$ (2016) (0)
- Emerging Applications to Signal Processing (2012) (0)
- Integral invariants for surfaces in R (0)
- New examples of Beauville surfaces (2011) (0)
- The Minimum Distance of the Binary Quadratic Residue Code (1999) (0)
- A Refined Conjecture For Factoring Iterates Of Quadratic Polynomials Over Finite Fields (2013) (0)
- Recent Applications to Communications (2012) (0)
- [15] D.Conti and N.Boston “The factorization theorem and new algebraic insights into the theory of linear trellises.” Allerton 2012 Proceedings. [16] N.Boston and T.-T.Nan “Large violations of the Ingleton inequality.” Aller- (2016) (0)
- MATH 849 NOTES FERMAT’S LAST THEOREM LECTURES BY NIGEL BOSTON (2018) (0)
- Quasi-quadratic residue codes and hyperelliptic curves (2019) (0)
- Heuristics for p-class towers of imaginary quadratic fields (2016) (0)
- Distributed curve matching in camera networks using projective joint invariant signatures (2010) (0)
- PRESENTING GALOIS GROUPS OF INFINITE TAMELY RAMIFIED p-EXTENSIONS (2005) (0)
- Summation invariant multi-region fusion comparison (2009) (0)
- Characterizing decoding robustness under parametric channel uncertainty (2007) (0)
- Violations of the Ingleton inequality and revising the four-atom conjecture (2020) (0)
- Exploiting algebraic structure in global optimization and the Belgian chocolate problem (2017) (0)
- The Weight Distribution of Quasi-quadratic Residue Codes (2017) (0)
- A class of soluble groups (1984) (0)
- The Art of Iterating Rational Functions over Finite Fields (2013) (0)
- Quasi-Quadratic Residue Codes and their weight distributions (2016) (0)
- Planar-projective summation invariant features for camera networks (2008) (0)
- Fusion ofMultiple Facial Regions for (2007) (0)
- Indentifiability of Polynomial Systems (2000) (0)
- An integral-based curvature estimator and its application in face recognition (2010) (0)
- Filter EXPLICIT GALOIS GROUPS OF INFINITE p-EXTENSIONS UNRAMIFIED AT p (2003) (0)
- Exploiting algebraic structure in global optimization and the Belgian chocolate problem (2018) (0)
- Graph-based Codes (2004) (0)
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