Signal Processing Engineering

CURRICULUM VITAE

Name: Nigel Boston

Addresses: Department of Mathematics,

*** *** ***** ****,

*** ******* *****,

Madison, WI 53706, USA

Department of Electrical and Computer Engineering,

**** *ngineering Hall,

1415

Engineering Drive,

Madison, WI 53706, USA

Telephone: 608-***-**** (UW Math), 608-***-**** (UW ECE),

Email: ******@****.****.***, ******@****.****.***

Webpage: http://www.math.wisc.edu/ ~ boston/

Date of Birth: 20 July, 1961

Citizenship: United Kingdom and United States

Marital Status: Married, two childrenEmployment: 2002-, University of Wisconsin-Madison

Professor (50% Math, 50% ECE)

2008-2009, University College, Dublin, Ireland

Stokes Professor of Pure and Applied Algebra

2006-2007, University of South Carolina

Williams-Hedberg-Hedberg Chair

1990-2002, University of Illinois at Urbana-Champaign

Tenure-track Assistant Professor, Associate Professor (1995-2002

)

1996, Harvard University

Visiting Scholar

1993, Jan-Jun, Newton Institute, Cambridge University, UK

Rosenbaum Fellow

1988-1990, U.C. BerkeleyMorrey Assistant Professor

1987-1988, I.H.E.S., France

Appointments: 2002-, Departments of Math and ECE, UW-Madison

2002-, CS Department, UW-Madison (affiliate)

2008-, Professor, Maths Sciences, UCD (visiting from 2009)

2008-, Claude Shannon Institute, UCD (affiliate)

2008-2009, Complex and Adaptive Systems Laboratory, UCD

2006-2007, Department of Math, Univ. of South Carolina

2006-2007, USC Industrial Math Institute

1

2

1990-, Department of Mathematics, UIUC (adjunct from 2002)

1999-, Coordinated Science Laboratory, UIUC (adjunct from 2002)

1999-2002, Beckman Institute,

UIUC

1999-2004, UIUC ECE Department

affiliation

Education: 1983-1987, Harvard University

Ph.D. 1987, A.M. 1984

1979-1983, Cambridge University, England

Certificate of Advanced Study in Mathematics, 1983

B.A. with 1st class honours in mathematics, 1982 (became M.A. 1986)

Awards: 2008-2009, Stokes Professorship (Science Foundation of Ireland)

2006-2007, Williams-Hedberg-Hedberg Professorship, USC

2006-2008, UW Vilas Associates Award

1995-1998, UIUC University Scholar

1994-1996, Alfred P. Sloan Foundation Fellow

1995-1996, Helen Corley Petit Professorship

1995, Finalist, Oakley-Kunde Award for Undergraduate Education

Spring 1995, Arnold O. Beckman Research Award

1993-1994, Center for Advanced Study, Urbana (one semester)

1993, Jan-Jun, Rosenbaum Fellowship, Cambridge Univ.

1986-1987, Sloan Doctoral Dissertation Fellowship

1983-1984, Lounsbery and Wang Fellowships, Harvard

Grants:

2011-2015, DIMACS Special Focus on Cybersecurity (PI R.Wright)

2009-2013, SFI RFP grant, UCD, $166,000 direct (forced to decline), PI

2008-2009, Stokes Professorship start-up, UCD, $75,000, PI

2009-2011, NSA grant, UW,

$60,000, PI

2009-2014, NSF RTG grant, UW, $1,300,000, (PI K.Ono)

2008-2009, UW Graduate School Award A novel invariant for video tracking

in camera sensor networks, $64,500, PI, co-PIs C.Dyer (UW CS) and Y.H.Hu (UW ECE

)

2006-2007, Williams-Hedberg-Hedberg fund, USC, $25,000, PI

2006-2008, UW Vilas grant,

$83,600, PI

2005-2008, NSF TF grant Message-passing algorithms from practice

to theory and back to practice, $209,500 (UW portion) PI, UIUC ECE PI

R.Koetter, co-PI P.Vontobel (Hewlett-Packard)

2004-2008, NSF MSPA-MCS grant Face recognition using integral invariants

and cryptology, $500,000, PI, co-PIs C.Dyer (UW CS) and Y.H.Hu (UW ECE)

2003-2006, NSF DMS grant Tree representations and probabilistic zeta

functions, $64,000, PI

2003-2007, Cluster Enhancement Optimization of algorithms and applications,

$56,000, PI, co-PIs R.Nowak (UW ECE) and S.Wright (UW CS)

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2003-2004, Graduate School Fall Competition Biologically motivated method for

human face recognition, $27,000, PI, co-PI Y.H.Hu (UW ECE)

2002-, UW Computational Sciences Cluster start-up $126,000, PI

2000-2003, Motorola Communications Center grant Security of elliptic curve

cryptosystems, $270,000, PI, co-PI R.Blahut (UIUC ECE)

2000-2003, NSF CRCD grant A cryptography center for research and education,

$546,700, PI, co-PIs R.Blahut (UIUC ECE) and S.H.Teng (UIUC CS)

2000-2003, UIUC-CNRS collaboration $100,000 PI, co-PIs I.Duursma (UIUC Math),

F.Morain (CNRS), and P.Sol'e (CNRS)

1999-2003, NSF DMS grant The unramified Fontaine-Mazur conjecture, $90,000, PI

1999-2001, NSF DMS grant Special year in number theory, $60,000, PI

1999-2001, CRI grant Cryptography, coding theory, and arithmetic geometry,

$100,000, PI, co-PI R.Blahut (UIUC ECE)

1998-2001, BSF award (US-Israel) Positively finitely generated groups and zeta

functions, co-PI, PI A.Mann (Hebrew University)

1996-1999, NSF DMS grant Group theory methods in number theory, $60,000, PI

1995-1996, Helen Corley Petit Professorship, $10,000, PI

1994-1996, Alfred P. Sloan Foundation grant, $30,000, PI

1993-1996, NSF DMS grant Galois representations and applications, $50,000 PI

1990-1993, NSF-DMS grant, Explicit deformations of Galois representations, $40,000 PI

Patents: US patent number 7646918 for Summation invariant and its application to

3D face recognition, with W.Y.Lin and Y.H.Hu.

Thesis: Deformation theory of Galois representations, Harvard, 1987

Specialization: Algebraic number theory, group theory, arithmetical geometry,

computer algebra systems, coding, cryptography, interdisciplinary mathematics

Ph.D.students: Gebhard Boeckle (1995), W3 Professor, Heidelberg, Germany

David Ose (1995), NSA

Walter Dabrowski (1996), actuary

Judy Walker (1996), professor, Univ. of Nebraska

Yihsiang Liow (1997), assoc prof of CS, Columbia College

'

Boris Iskra (1998), profesor asociado, Univ. Sim'on Bol ivar

Sharon Brueggeman (1999)

Darrin Doud (1999), assoc prof, Brigham Young Univ.

David Perry (1999), NSA

Doug Kuhlman (2000), Motorola Mobility, Libertyville, IL

Mark Bauer (2001), assoc prof, U. Calgary, Canada

Thomas Kuhnt (2002), McKinsey Consultants

Mona Musa (2003), lecturer, Santa Clara University

Michael Bush (2004), asst prof, Washington and Lee Univ.

Bogdan Petrenko (2004), asst prof, SUNY Brockport

Bret Benesh (2005), asst prof, St. John s University

You-Chiang Yi (2005)

4

Qian Zhang (2005), Microsoft Research

John Jossey (2006), postdoc, UIUC CS dept

Wei-Yang Lin (2006), asst prof, CS dept, Cheng Chung Univ, Taiwan

Nadya Markin (2006), postdoc, Nanyang Tech. U., Singapore

Matthew Darnall (2008), quant, Credit Suisse

Christopher Holden (2008), asst prof, Univ. New Mexico

Mehmet Haluk Sengun (2008), postdoc, Univ. of Warwick

Jay Wierer (2008), asst prof, Milwaukee School of Engineering

Harris Nover (2009), CCR LaJolla

Meghan DeWitt (2011), postdoc, BYU

Jonathan Blackhurst (2011), NSA

Former Masters students: Alison Champion, Madhav Chandrasekher, Steve

Harding, Sirin Nitinawarat, and Jake Wallace.

Current Ph.D. students: David Conti (UC Dublin), Rachel Davis, Ting-Ting Nan.

Postdoctoral advisees: Marcin Mazur, Pascal Vontobel, Rafe Jones, and Zev Klagsbrun.

Initiatives: Applied Algebra Days

(Co-initiator and organizer of 1st)

SC Palmetto Number Theory Series

(Co-initiator and organizer of 1st)

UW Wireless and Sensor Networks Consortium

(founding director)

UW Face Recognition Group (CS, ECE, Math)

(co-creator and PI)

Computational Sciences Lectures Series, UW

(initiator and organizer 2003-2007)

Co-creator of UCD-Nottingham joint meetings

Midwest Algebraic Number Theory Days

(creator and organizer of 1st, 4th, 10th, and 12th)

Greenwood-Trjitzinsky Prize Competitions for Undergraduates

(creator and chair/organizer of it for 7 years)

Midwest Arithmetical Geometry in Cryptography (MAGC) workshops

(creator and organizer of 1st, 2nd, and 3rd)

Illinois Center for Cryptography and Information Protection

(founding director)

UIUC Thursday number theory lunches

(started and organized for 8 years)

UIUC Information protection seminars

(started and organized for 2 years)

Algebraic number theory international preprint archives

(co-created and managed for 5 years)

Revision of Math 118 (quantitative reasoning) (and for distance learning)

(introduced new approach and led team of TAs)

Conferences(co-)organized:

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2013, BIRS Meeting on Dynamics over Finite Fields

2011, 1st Applied Algebra Day

2009, 12th Midwest Algebraic Number Theory Day

2009, 2nd UCD-Nottingham, number theory meeting

2008, Public lectures by Simon Singh

2008, UCD-Nottingham number theory meeting

2007, Codes and Cryptography, Cirencester 2007 (program committee)

2007, AMS special session on applicable algebra, Davidson

2007, Sensor Networks and Beyond workshop

2006, 1st Palmetto Number Theory Seminar

2006, Vancouver Sequences and Codes meeting

2006, Oberwolfach Pro-p Galois Groups meeting

2005, 10th Midwest Algebraic Number Theory Day

2005, Trends in Wireless Communication workshop

2005, Quantum Computation workshop

2004, Optimization of Eigenvalues workshop

2004, Graphical Models workshop

2003, Computational Vision workshop

2001, 3rd MAGC conference

2001, coding theory sessions, Allerton meeting

2000, 2nd MAGC conference

2000, CEPS data security session, CSL

2000, coding theory sessions, Allerton meeting

2000, Fermat s Last Theorem workshop

2000, Millennial Conference on Number Theory

1999, 1st MAGC conference

1999, AMS special session on Galois representations, UIUC

1997, coding theory sessions, Allerton meeting

1997, 4th Midwest Algebraic Number Theory Day

1995, AMS special session on number theory, Chicago

1993, 1st Midwest Algebraic Number Theory Day

Committees: DIMACS Special Focus on Cybersecurity, 2011-15

Univ. Zurich Math Dept. review panel, 2011

Program Committee for Cirencester 2007 and 2011

Brigham Young Univ. Math Dept review, 2010

NSF DMS Committee of Visitors, 2010

DFG (Germany) review panels, 2010, 2013

ANTS9 Program Committee, 2009-10

Numerous NSF panels, 1993-2011

International Advisory Board, Claude Shannon Institute, Ireland, 2006-08

Search Committee for new IMI Director, 2006-07

Interdisciplinary Faculty Advisory Committee, UW, 2005-08

Physical Sciences Research Committee, UW, 2003-06

Search Committee for new Math Chair, UIUC, 1999

Math Department Executive Committee, 1996-1998

Illinois MAA director-at-large, 1996-99

Search Committee for new Math Chair, UIUC, 1996

NSF posdoctoral fellowships in math sciences, 1993-97, 2008-9

6

Refereeing:

InvitedLectures:

Jan 2013 Technion, Israel Conference in honor of Jack Sonn

Dec 2012 Purdue Univ. Colloquium

Dec 2012 Indiana Univ Algebra seminar

Nov 2012 U Chicago Group theory seminar

Nov 2012 U Chicago Scientific and statistical computing seminar

Oct 2012 Monte Verita, Switz. Trends in Coding Theory meeting (declined)

Oct 2012 Allerton, IL Conference on Coding, Comm, Control (3 talks)

Sep 2012 Oberwolfach Topology and number theory workshop

Aug 2012 Vienna, Austria Profinite groups meeting

Jun 2012 Newcastle, UK Beauville surfaces meeting

Jun 2012 UC Dublin Algebra seminar

Apr 2012 Arizona State Univ. Colloquium and seminar

Jan 2012 Boston AMS Sessions on math comp and on coding theory

Nov 2011 Dagstuhl Coding theory conference (declined)

Oct 2011 Lincoln, NE AMS Sessions on coding theory and on number theory

Sep 2011 Costa Rica Series of lectures in honor of Galois 200th anniv.

Aug 2011 Banff BIRS workshop on network information theory

Jul 2011 Dublin, Ireland Number theory seminar

Jul 2011 Birmingham, UK Geometric presentations conference

Apr 2011 U. Penn. Algebra seminar

Apr 2011 Worcester, MA AMS Special Session on arithmetic topology

Jan 2011 New Orleans AMS Special Session on computational algebra

Dec 2010 Warwick U Mathematics colloquium

Dec 2010 Warwick U. Electrical engineering colloquium

Aug 2010 Oberwolfach Low-dimensional topology workshop

Jul 2010 Newcastle, UK 7th IEEE IET CSNDSP (keynote speaker)

Jun 2010 U.Chicago Group theory seminar

Apr 2010 Padova, Italy Group theory seminar

Mar 2010 Texas A&M Groups and dynamics seminar

Mar 2010 Austin, TX Number theory seminar

Mar 2010 Austin, TX Colloquium

Mar 2010 UIUC Communications group seminar

7

Feb 2010 IEM, Essen, GermanyNumber theory seminar

Jan 2010 San Francisco Algebraic methods in signal processing session

Dec 2009 Galway, Ireland 3rd de Brun workshop on comp alg

Oct 2009 Amherst, MA Five Colleges number theory seminar

Oct 2009Smith College McCoy Lecture

Oct 2009 Penn State Arithmetic and profinite groups AMS session

Oct 2009 Rutgers Lie theory/quantum math seminar

Aug 2009 Queens U, Belfast Workshop on algebra, combinatorics, and dynamics

Jun 2009 Dublin Student summer institute

Jun 2009 Besancon, France ALGOL conference series of lectures

Jun 2009 Valencia, Spain Marty Isaacs birthday conference

May 2009 Newcastle, UK Pure maths colloquium

May 2009 London, UK Number theory seminar

May 2009 Dagstuhl, Germany Algorithms and number theory seminar (declined)

May 2009 Tallaght, Ireland Pure maths colloquium

May 2009 Cork, Ireland Workshop on Coding and Crypto

Apr 2009 Oxford Grunewald s birthday conference

Mar 2009 U Maynooth Colloquium

Feb 2009 Dublin 1st Irish Cryprography Day

Feb 2009 Shannon Institute 2 day module on graph-based codes

Feb 2009

U Warwick Number theory seminar

Feb 2009 U Warwick Colloquium

Feb 2009 U Exeter Number theory seminar

Dec 2008 Columbia, SC PANTS VIII conference plenary

Dec 2008 Vienna, Austria ESI profinite groups conference

Nov 2008 UCD, Ireland Stokes inaugural lecture

Nov 2008 Royal Holloway U Information security group seminar

Nov 2008 Royal Holloway U Colloquium

Nov 2008 UCD, Ireland UCD-Nottingham meeting

Oct 2008 Banff (BIRS) Self-similarity workshop (declined)

Sep 2008 U Paris 7, France Analysis on groups seminar

Jun 2008 Oberwolfach Profinite groups workshop

Apr 2008 U Nebraska Colloquium

Jan 2008 U Chicago Group theory seminar

Nov 2007 Montreal, Canada Labute retirement conference

Oct 2007 Banff (BIRS) Low-dimensional topology and number theory

Oct 2007 Clemson, SC 22nd Clemson discrete math conference (declined)

Oct 2007 Chicago, IL AMS coding theory session

Sep 2007 Orono, ME Maine-Quebec number theory conference (declined)

Sep 2007 Trentino, Italy Dan Segal s birthday conference

Sep 2007 Dublin, Ireland Hamilton geometry/topology workshop

Apr 2007 Wake Forest SERMON plenary

Apr 2007 U. Wisconsin Pro- p day

Mar 2007 Davidson College AMS plenary

Mar 2007 Davidson College AMS session (Galois cohomology)

Feb 2007 Montreal QC-VT number theory seminar

Feb 2007 McGill Univ ECE seminar

Feb 2007 U. Indiana Algebra seminar

Jan 2007 UC San Diego Number theory seminar

8

Jan 2007 UCLA Sensor Networks 2007

Nov 2006 Wake Forest CS colloquium

Nov 2006 Georgia Tech Math colloquium

Nov 2006 Fields Institute Crypto workshop plenary (declined)

Oct 2006 U. Georgia Number theory seminar

Sep 2006 Clemson Applicable algebra seminar

Sep 2006 Columbia, SC IEEE Student Section

Jul 2006 Berlin, Germany ANTS VII plenary

Jul 2006 UBC, Vancouver CNTA meeting

May 2006 ETH Zurich Engineering colloquium

May 2006 Barcelona, Spain Number theory seminar

May 2006 East High, Madison FLT talk for children

Apr 2006 U.Penn Galois theory conference (declined)

Apr 2006 Durham, NH AMS session (inverse Galois theory)

Apr 2006 USC Colloquium

Apr 2006 MATC Face recognition talk

Mar 2006SFU, Vancouver Colloquium

Jan 2006Beckman Institute Face recognition seminar

Oct 2005 UBC Seminar and colloquium

Oct 2005 U.Nebraska AMS session (coding theory)

Jul 2005 Lausanne, SwitzerlandNumber theory seminar

Jul 2005 Marseilles, France Journees arithmetiques plenary

Apr 2005 Colorado State Colloquium

Feb 2005 Princeton Applied math colloquium

Feb 2005 Princeton Number theory seminar

Jan 2005 U. Chicago Group theory seminar

Dec 2004 MATC, Madison Cryptography talk

Jul 2004 NCTS, Taiwan Coding theory special lectures

Jun 2004 Essen, Germany Frey s birthday conference

Jun 2004 Duesseldorf, GermanyGroup theory seminar

May 2004 Berlin, Germany Humboldt Univ. seminar & colloquium

May 2004 London, UK Algebra colloquium

May 2004 Oxford, UK Group theory seminar

May 2004 Cambridge, UK Number theory seminar

Dec 2003 U. Texas Number theory seminar

Dec 2003 Texas A&M Groups and dynamics seminar

Oct 2003 Boulder AMS coding session

May 2003 ETH Zurich ECE colloquium

May 2003 Oberwolfach Profinite groups meeting

May 2003 ETH Zurich Number theory seminar

Mar 2003 Baltimore JAMI Knots and primes meeting

Jan 2003 Baltimore AMS session (knots and primes)

Nov 2002 Amherst,MA Five Colleges number theory seminar

Nov 2002 MIT ECE colloquium (LIDS)

Nov 2002 U. of Florida John Thompson s birthday conference

Oct 2002 Chicago International law conference

9

NIGELBOSTON SPUBLICATIONS

N.Boston Applications of algebra to communications, control, and signal processing.

Book, published by Springer, 2012.

N.Boston On the Belgian Chocolate Problem and output feedback stabilization:

efficacy of algebraic methods. Accepted to appear in Allerton 2012.

D.Conti and N.Boston The factorization theorem and new algebraic insights into

the theory of linear trellises. Accepted to appear in Allerton 2012.

N.Boston and T.-T.Nan Large violations of the Ingleton inequality. Accepted to

appear in Allerton 2012.

D.Conti and N.Boston Factoring linear trellises. Appeared in IZS 2012.

N.Barker, N.Boston, and B.Fairbairn A note on Beauville p -groups. Accepted

to appear in Experimental Mathematics.

D.Conti and N.Boston Matrix representations of trellises and enumerating trellis

pseudocodewords. Appeared in Allerton 2011.

N.Boston A multivariate weight enumerator for tail-biting trellis pseudocodewords.

Invited paper for Journal of Mathematical Sciences volume (Springer).

R.Jones and N.Boston, Settled polynomials over finite fields. Accepted by the

Proceedings of the AMS .

N.Barker, N.Boston, N.Peyerimhoff, and A.Vdovina New examples of Beauville surfaces.

Accepted by Monatshefte f"ur Mathematik

W.-Y.Lin, Y.-L.Chiu, K.R.Widder, Y.H.Hu, and N.Boston Robust and accurate curvature

estimation using adaptive line integrals. Accepted to the EURASIP

Journal on Advances in Signal Processing .

R.Arora, C.R.Dyer, Y.H.Hu, and N.Boston Matching in camera networks using projective

joint invariant signatures. Accepted to ICDSC 2010.

W.-Y.Lin, K.R.Widder, Y.H.Hu, and N.Boston An integral-based curvature estimation and

its

application in face recognition. Accepted to ICME 2010.

N.Boston and G.McGuire The weight distributions of cyclic codes with two

zeros and zeta functions. Journal of Symbolic Computation. 45 (7), 723 733 (2010).

N.Boston and J.Ellenberg Random pro- p groups and random tame Galois groups. Accepted

invited paper for volume of Groups, Geometry, and Dynamics in honor of Fritz Grunewald.

N.Boston Spaces of constant rank matrices over GF(2). Electron. J. Linear Algebra 20

(2010), 1-5.

K.R.Widder, Y.H.Hu, N.Boston, and W.-Y.Lin Distortion detection for 3D face recognition

performance improvement using eigenmouths. Accepted for ISCAS 2010.

N.Boston Large transitive groups with many elements having fixed points.

Contemporary Mathematics 524, 11 15, AMS volume in honor of Marty Isaacs.

10

Z.Hong, K.Liu, N.Boston, and A.Sayeed Algebraic number precoding for space-time

block codes. IEEE Transactions on Information Theory. 55, No. 6, 2696 2704, June 2009.

N.Boston and N.Markin The fewest primes ramified in a G-extension of Q

Annales des Sciences math'ematiques du Qu'ebec. 33 no 2, 145 154 (2009).

K.R.Widder, Y.H.Hu, W.-Y.Lin, and N.Boston Summation invariant multi-region

fusion comparison. Appeared in ISCAS 2009, May 2009.

N.Boston Random pro-p groups and random Galois groups. Invited paper to

appear in Annales des Sciences math'ematiques du Qu'ebec. 32, no 2. (2009)

B.R.Barmish and N.Boston Risk and return considerations in The

Weakest Link. American Math Monthly, 116 (4), 305 315, April 2009.

N.Boston and R.Jones The image of an arboreal Galois representation. (Invited paper for

Serre s 80th birthday). Pure & Applied Mathematics Quarterly Vol 5 (1), 213 225 (2009)

N.Boston and M.Darnall Elliptic curve and hyperelliptic curve cryptography -

fundamentals and implementations. Chap 8, 171 190, Cryptographic Engineering (ed. Koc)

K.R. Widder, W.-Y. Lin, N. Boston, and Y.H. Hu Planar-projective summation

invariant features for camera networks. Appeared in ICASSP 2008, 753 756.

Q.Zhang and N.Boston Stylometric watermarking. Appeared in IIHMSP 2008, 477 480.

J.D.Wierer, W.U.Bajwa, N.Boston, and R.D.Nowak Characterizing decoding

robustness under parametric channel uncertainty. Appeared in 45th Annual

Allerton Conference on Communication, Control, and Computing 2007.

K.R. Widder, W.-Y. Lin, N. Boston, and Y.H. Hu From moving frames to

summation invariants: procedures, properties and application. Technical

Report ECE-07-05, Dept. Elec. Comp. Eng., University of Wisconsin-Madison,

Madison, WI, Sept. 2007.

A.Slater, Y.H.Hu, and N.Boston Multiscale integral invariants for facial

landmark detection in 2.

5

W.-Y.Lin,

M.-Y.Chen, K.Widder, Y.H.Hu, and N.Boston Fusion of multiple

3D summation invariant features Appeared in ICME 2006.

N.Boston Graph-based codes. Invited paper, in Recent trends in coding

theory and its applications, AMS/IP monograph 41 (2007), 91 122.

N.Boston Galois p -groups unramified at p - a survey. Invited paper,

AMS Contemporary Math series 416 (2006) Primes and knots, 31 40.

W.-Y.Lin, N.Boston, and Y.H.Hu Summation invariant features for 3D

face recognition. Appeared in Proceedings of MMSP 2005.

S.Nitinawarat and N.Boston A complete analysis of space-time group

codes. Appeared in Proceedings of the 43rd Annual Allerton Conference

on Communication, Control, and Computing 2005.

A.Ganesan and N.Boston Universally decodable matrices.

Appeared in Proceedings of the 43rd Annual Allerton Conference on

Communication, Control, and Computing 2005.

V.Raganthan, A.Sayeed, and N.Boston When is limited feedback for

transmit beamforming beneficial? Appeared in Proceedings of ISIT 2005.

N.Boston Reducing the Fontaine-Mazur conjecture to group theory.

Invited paper, in Progress in Galois Theory (Voelklein, Shaska eds.),

the proceedings of Thompson s 70th birthday conference, 39-50, 2005.

W.Y.Lin, N.Boston, and Y.H.Hu Summation invariant and its applications

to shape recognition. Appeared in Proceedings of ICASSP 2005.

12

Q.Zhang and N.Boston A cryptanalytic method for embedding video

watermarks. Appeared in Proceedings of ICASSP 2005.

N.Boston Pipelined IIR filter architecture using pole-radius minimization.

Journal of VLSI Signal Processing, 39, 323-331, 2005.

N.Boston and I.M.Isaacs Class numbers of p -groups of a given order.

Journal of Algebra 279 (2004), no. 2, 810-819.

N.Boston Strategies for the Weakest Link. Amer. Math. Monthly

110 (2003), no. 4, 330-334.

Q.Zhang and N.Boston Quantization index modulation using the E

8

lattice. Appeared in Proceedings of the 41st Annual Allerton Conference

on Communication, Control, and Computing 2003.

N.Boston Is biometrics measuring up? Journal of Law, Technology,

and Policy 2, (Fall 2002), 421-423.

N.Boston and C.R.Leedham-Green Explicit computation of Galois

p -groups unramified at p . Journal of Algebra 256 (2002) no. 2, 402-413.

N.Boston, C.Clancy, Y.Liow, and J.Webster Genus two hyperelliptic

curve coprocessor. Appeared in Proceedings of CHES 2002.

N.Boston Makhoul s conjecture for p = 2. Appeared in Proceedings

of ICASSP 2001.

N.Boston Bounding minimum distances of cyclic codes using algebraic

geometry. Appeared in Proceedings of WCC 2001. Electronic Notes in

Discrete Math, Volume 6, April 2001, 385-394.

N.Boston and J.L.Walker 2-groups with few conjugacy classes.

Proc. Edinburgh Math. Soc. (2) 43 (2000), no. 1, 211-217

N.Boston The educational use of computer algebra systems at the

University of Illinois. (Invited paper) Handbook of Computer Algebra:

Foundations, Applications, Systems (Grabmeier, Kaltofen, Weispfenning

eds.), Springer 2001.

N.Boston P -adic Galois representations and pro- p groups. Proceedings

of the Durham 1997 Pro- p groups meeting. (Invited paper) New horizons

in pro- p groups. (du Sautoy, Segal, Shalev eds.) Birkha"user 2000.

N.Boston and D.Perry Maximal 2-extensions with restricted ramification.

Journal of Algebra 232 (2000), no. 2, 664-672.

N.Boston and D.Ose Characteristic p Galois representations that are

produced by Drinfeld. Canadian Math. Bull. 43, no. 3, 282-293 (2000)

S.Basu and N.Boston Identifiability of polynomial systems. UIUC

Technical Report.

N.Boston Some cases of the Fontaine-Mazur conjecture, II. Journal of

Number Theory 75, no. 2, 161-169 (1999)

13

N.Boston The unramified Fontaine-Mazur conjecture. Procs of the ESF

Conference on Number Theory and Arithmetical Geometry, Spain 1997.

N.Boston and C.R.Leedham-Green Counterexamples to a conjecture

of Lemmermeyer. Arch. Math. (Basel) 72, no. 3, 177-179 (1999)

N.Boston The minimum distance of the [137, 69] binary quadratic residue

code. IEEE Transactions in Information Theory 45, no. 1, 282 (1999)

N.Boston A use of computers to teach group theory and introduce students

to research. Journal of Symbolic Computation 23, 453-458 (1997)

N.Boston Some calculus and open problems in finite group theory. in Proceedings

of the First Jamaican Conference on Group Theory and its Applications (1997)

N.Boston A probabilistic generalization of the Riemann zeta function.

in Analytic Number Theory: Proceedings of a Conference in Honor of

Heini Halberstam, Volume I (1996)

N.Boston A Taylor-made plug for Wiles proof. College Mathematics

Journal 26 (2), 100-105 (1995)

N.Boston and A.J.Granville Review of Marilyn vos Savant s book The

world s most famous math problem American Mathematical Monthly,

102, 470-473 (1995)

N.Boston A refinement of the Faltings-Serre method. S'eminaire de

Th'eorie des Nombres, Paris, 1992-93N.Boston and M.L.Greenwood Quadratics representing primes.

American Mathematical Monthly 102, 595-599 (1995)

N.Boston, W.Dabrowski, T.Foguel, P.Gies, D.Jackson, J.Leavitt, and D.Ose

The proportion of fixed-point-free elements of a transitive permutation

group. Communications in Algebra 21 (9), 3259-3275 (1993)

N.Boston and S.V.Ullom Representations related to CM elliptic curves.

Mathematical Proceedings Cambridge Philosophical Society 113, 71-85 (1993)

N.Boston Some cases of the Fontaine-Mazur conjecture. Journal of

Number Theory 42, 285-291 (1992)

N.Boston Families of Galois representations - increasing the ramification.

Duke Mathematical Journal 66, 357-367 (1992)

N.Boston, H.W.Lenstra,Jr. and K.A.Ribet Quotients of group rings arising

from two-dimensional representations. C. R. Acad. Sci. Paris, t.312,

S'erie I, p.323-328 (1991)

N.Boston Explicit deformation of Galois representations. Inventiones

Mathematicae 103, 181-196 (1991)

N.Boston Review of the book, Perfect Groups, by D.Holt and W.Plesken,

Math. Comp. 57 no. 195, July 1991, 445-446

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N.Boston and B.C.Mazur Explicit universal deformations of Galois

representations. Advanced Studies in Pure Mathematics 17, 1-21 (1989)

N.Boston Deformations of Galois representations associated to the cusp

form ?. S'eminaire de Th'eorie des Nombres, Paris, 1987-88

N.Boston Appendix to B.Mazur and A.Wiles, On p -adic analytic families

of Galois representations. Compositio Mathematica 59, 231-264 (1986)

N.Boston A class of soluble groups. Journal of Algebra 91, 320-327 (1984)

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