*Stalking
the Riemann Hypothesis*, (paperback) Pantheon Press, 2006, 304
pages, ISBN: 037542136X

*Modern
Signal Processing* (w./ D. Healy
- editors), Cambridge University Press, 2004.

*Music
and Computers: A Theoretical and Historical Approach *(w/P. Burk, L. Polansky, d. repetto, and

M. Roberts), Key College Publishing,
2004.

*Cyclic
Renormalization and Automorphism Groups of Rooted
Trees *(w/H. Bass, M. V. Espinar, and C.

Tresser),
Lecture Notes in Mathematics, Volume 1621, Springer-Verlag,
NY 1996.

__Film Projects:__

*From Mind to Machine - The Discovery of Artificial
Intelligence* (with W. Conquest and B. Drake), 2007.

*The
Math Life* (with W. Conquest and B. Drake), a 51
minute documentary about the people, process, and problems of modern
mathematics. Distributed by Films for the Humanities and Sciences
(www.films.com) and (as of 3/10/03) to appear on at least 55% (and at most 90%)
of the Public Television marketplace.

*Mathematics
Illuminated* (host, lead content advisor, a 13 part series on
mathematics, funded by the Annenberg Foundation, produced by Oregon Public
Broadcasting)

__Journal/Conference Publications:__

· Using
Hierarchical Change Mining to Manage Network Security Policy Evolution (w/G.
Weaver, N. Foti, S. Bratus,
and S. Smith), The Workshop on Hot Topics in Management of Internet, Cloud, and
Enterprise Networks and Services (Hot-ICE '11), (2011), in press.

· Nonparametric
sparsification of complex multiscale
networks (w./N. Foti and James
M. Hughes), *PLoS** ONE*, **6**(2): e16431. doi:10.1371/journal.pone.0016431 (2011)

· Intelligent
data analysis of intelligent systems, (w./D. C. Krakauer, J. C. Flack, S. Dedeo,
and D. Farmer, *Advances
in Intelligent Data Analysis IX* 6065:8-17(2010).

· Improved
IBD detection using incomplete haplotype information
(w./G. Genovese, G. Leibon,
and M.Pollak), *BMC Genetics*, **11**:58 (2010).

· The
packet-switching brain (w./D. Graham), *J. of Cognitive
Neuroscience*, Early Access Posted Online March 29, 2010. (doi:10.1162/jocn.2010.21477).

· Preference
for artwork: Similarity, statistics, and selling price (w. D. Graham, J. Friedenberg, and C. McCandless),
in Proc. SPIE: Human Vision and Electronic Imaging 7527 (2010).

· Stylometrics of artwork: Uses and limitations
(w./D. Graham and J. M. Hughes), Proc. SPIE: Computer
Vision and Image Analysis of Art 7531 (2010).

· Deblurring of motionally averaged images
with applications to single-particle cryo-electron
microscopy, (w./G. Chirikjian,
W. Park, and D. Madden), arXiv: 0710.0690, *Inverse Problems*,
**26**,
Number 3, March 2010 doi:
10.1088/0266-5611/26/3/035002.

· Quantification
of artistic style through sparse coding analysis in the drawings of Pieter Bruegel the Elder (w./J. Hughes
and D. Graham), *Proceedings
of the National Academy of Sciences USA*, vol. **107**, no. 4, pp. 1279–1283, 2010.

· Fast
Fourier transforms for the rook monoid, (w./M. Malandro) *Transactions of
the AMS*, **362**(2)
pp. 1009 – 1045, (2010).

· Accurate
image rotation using Hermite expansions (w./G. Chirikjian, W. Park, and G. Leibon), *IEEE Transactions on Image Processing*, **18**(9) pp. 1988–2003, (2009).

· Mapping the
similarity space of paintings: Is there a role for image statistics? (w./D. J. Graham, J. N., Friedenberg,
and D. J. Field,), *Visual Cognition*, July 15, 2009, DOI: 10.1080/13506280902934454.

· A
mathematical model for optimal tuning systems (w./L. Polansky, M.K. Johnson, D. Repetto
and W. Pan), *Perspectives
in New Music*, **47(**1), p. 69–110, 2009.

· Spectral
analysis for phylogenetic trees (w./P.
Rinker), NIPS (2009), Workshop on Ranked Data.

· Intensity
statistics of artwork: connections to human visual perception (w./ D. J. Graham, J. N. Friedenberg,
and D. J. Field), SPIE, 2009. Proc. SPIE. 7240.

· Topological
structures in the equities market, (w./G. Leibon, S. Pauls, R. Savell), *PNAS*, **105**(52):20589-94, 2008.

· A fast Hermite transform, (w./G. Leibon, R. Taintor, G. Chirikjian, and W. Park), *Theoretical Computer Science*, **409**(2):
211-228 (2008).

· Evolution
of community structure in the world trade web, (w./I. Tzekina and K. Danthi), *European J. Phys.
B*, **63**,
541-545 (2008) DOI: 10.1140/epjb/e2008-00181-2

· A SNP
Streak Model for the Identification of Genetic Regions Identical-by-descent, (w./G. Leibon and M.Pollak), *Statistical Applications in Genetics and Molecular Biology,* **7**(1),
Article 16 (2008). (Available at: http://www.bepress.com/sagmb/vol7/iss1/art16)

· FFTs on the Rotation Group (w./P. Kostelec), *Journal of Fourier Analysis and Applications*, **14**(2) 145– 179, (2008).

· Multifractal analysis for Jackson Pollock (w./J. Coddington, J. Elton, and Y.
Wang), SPIE 2008, Paper 6810-13.

· The Power
of Strong Fourier Sampling: Quantum Algorithms for Affine Groups and Hidden
Shifts (w./C. Moore, A. Russell, and L. Schulman), *SIAM J. Computing*,
**37**,
938–958 (2007)

· Steps
toward Digital Authentication (w./G. Leibon), in *Matematica** e cultura, 2007*, MIchele
Emmer (ed.), Springer-Verlag.

· A Fast Hermite Transform with Applications to Protein Structure
Determination (w./G. Leibon
and G. Chirikjian), Proceedings of 2007 International
Workshop on Symbolic-Numeric Computation, ACM, 117–124 (2007).

· Generic
Quantum Fourier Transforms (w./C. Moore and A.
Russell), *ACM
Transactions on Algorithms*, 2(4), pp. 707–723, 2006.

· Stochastic
Analysis of Geometric Image Processing Using B-Splines,
(w./ G. Rohde, D. Healy, C. Bernstein, A. Aldroubi), Proceedings of 2006 IEEE International
Conference on Acoustics, Speech, and Signal Processing, pp. 1017-1020, 2006.

· A Digital
Technique for Authentication in the Digital Arts (w./S.
Lyu and H. Farid), *International
Foundation for Art Research Journal*, spring, 2006.

· Wavelet
Analysis for Authentication,” (w./S. Lyu and H. Farid), Art+Math = X, Conference on the interface of Art and
Mathematics, CU, Boulder, June 2005

· A Digital
Technique for Art Authentication (w./S. Lyu and H. Farid),* PNAS*, vol. **101** (49),
pp. 17006-17010 (2004).

· Rooted
trees and iterated wreath products of cyclic groups (with R. Orellana and D. Rockmore), *Adv. in Appl. Math.,*
**33**(3)
(2004), 531-547.

· Sharing Neuroimaging Studies of Human Cognition, (w./ J. D. Van Horn, S. T. Grafton, and M. S. Gazzaniga), Nature Neuroscience, 7, (2004), 473–481.

· Computing isotypic
projections with the Lanczos iteration (w./ D. Maslen and M. Orrison) *SIAM J. Matrix
Analysis and Appplications *PDF version **25 **(3), 784--803, (2004).

- R. Foote, G. Mirchandani,
and D. Rockmore, "Two-dimensional wreath product transforms" PDF version
*J. Symbolic Computation***37**(2) pp. 187--207, (2004).

- Towards Safe and Effective High-Order Legendre
Transforms with Applications to FFTs for the
2-sphere (w/ D. M. Healy, Jr. and P. Kostelec) PDF version
*Advances in Computational Mathematics***21**(1-2): 59-105, July 2004 - Generic Quantum FFTs"
PDF version (w/ C. Moore and A. Russell) Proceedings
of ACM-SIAM Symposium On Discrete

Algorithms. 2004, pp.
771-780.

- The Hidden Subgroup Problem in Affine Groups:
Basis Selection in Fourier Sampling (w/ C. Moore, A. Russell, and L.
Schulman), PDF version Proceedings
of ACM-SIAM Symposium On Discrete Algorithms. 2004, pp. 1106--1115.

- Recent Progress and Applications in Group FFTs, PDF version In
*Advanced Study Institute on Computational Noncommutative Algebra and Applications,**J. Byrnes, ed.,*

- FFTs for the 2-Sphere-Improvements and Variations (w/
D. M. Healy, Jr., P. Kostelec, and S. Moore) PDF version
*Journal of Fourier Analysis and Applications***9**4: 341--385, July 2003

- Eigenvalues spacings for quantized
cat maps (w/A. Gamburd and J. Lafferty),
*J**. Phys A*,**36**(2003), no. 12, 3487–3499.

- Recent
Progress and Applications of Group FFTs, 36th Asilomar Conference on Signals and Systems, IEEE
Publications, January, 2003.

- Landscapes on spaces of trees (w/ O. Bastert, P. Stadler, and G. Tinhofer,)
*Appl. Math. Comput*.,**131**(2002), no. 2-3, 439--459.

- Fast Fourier transforms for fitness landscapes
(w/ W. Hordijk, P. Kostelec,
and P. Stadler),
*Applied and Computational Harmonic Analysis*,**12**No. 1, Jan 2002, pp. 57-76.

- Description
of an interactive, sound making online computer music tutorial web book,
*International Conference Music and Computers*2002 Short Paper/Demo, Voices of Nature Conference, Goeborg (w./P. Burk, L. Polansky, d. repetto, M. Roberts)

- The
Cooley-Tukey FFT and group theory (with D. Maslen)
*Notices Amer. Math*. Soc.**48**(10), 2001, pp. 1151 –1160.

- Nonlinear approximation theory on finite groups
(w/ K.-L. Kueh, T.
Olson, and K.-S. Tan,) PDF version Postscript version
*J. Fourier Analysis and Appl.,***7**No. 3, 2001, pp. 257–281

- Lesion
Size Estimation Using Warped Registration of Interval Images, (w./J.B. Weaver, S. Periaswamy,
H. Farid, D.N. Rockmore, C.J. Kasales, W. Black, D.M. Healy, Jr.),
*Proceedings of the Society of Magnetic Resonance*, Glasgow, UK, April, 2001, p. 795

- The Functional Magnetic
Resonance Imaging Data Center (fMRIDC): The Challenges and
rewards of large-scale databasing of neuroimaging studies (w/ J. Van Horn, J. Grethe, P. Kostelec, J.
Woodward, J.B., J. Aslam, D. Rus,
and M. S. Gazzaniga),
*Philosophical Transactions of the Royal Society*,**356**No. 1412 (2001).

- The FFT - An algorithm the whole family can use PDF version Postscript version
*Computing in Science & Engineering,**January/February 2000,***2**, Number 1, pp. 60--64.

* *

- A
wreath product group approach to signal and image processing: Part II –
convolutions, correlations, and applications (w/ R. Foote, G.
Mirchandani, D. Healy and T. Olson
),,
*IEEE Trans. in Signal Processing,***48***(3), 2000, pp. 749--767**.*

- "A wreath product
group approach to signal and image processing: Part I -- multiresolution analysis " (w/ R. Foote, G. Mirchandani, D. Healy and T. Olson ),
*IEEE Trans. in Signal Processing,***48**(1), 2000, pp. 102--132

- "Double coset decompositions and computational harmonic
analysis on groups," (w/D. Maslen),
*J. Fourier Analysis and Applications,***6**(4), 2000

·
FFTs for tensor
and vector harmonics on the 2-sphere (with D. Healy, D. Maslen
and P. Kostelec), *J. Computational Physics*, **162**, 2000, pp. 514–535.

- A
National Data Center for the Storage and Retrieval of Neuroimaging
Data (w./J. Aslam, D. Rus, P. Kostelec, J. Grethe, R. Fendrich, S.
Grafton, and M. Gazzaniga. Society for
Neuroscience Abstracts,
**26**(2):2235, 2000

- Codes
and iterative decoding on algebraic expander graphs (w./J.
Lafferty)
*ISITA 2000*.

- Differential
Affine Motion Estimation for Medical Image Registration (w./S. Periaswamy, J. Weaver,
D. Healy, P. Kostelec and H. Farid),
presented at SPIE 2000, August 2000.

- A
rhomboidal local cosine transform (w/D. Healy and D. Warner), presented at
SPIE 2000, August 2000.

- Wreath
Product Cyclic Group-Based Convolution: A New Class of Noncommutative
Filters (w/G. Mir- chandani, R. Foote, D. Healy
and T. Olson) ICASSP 2000, Istanbul, Turkey

·
A Combinatorial Description of the Spectrum of the Tsetlin Library and its Generalization to Hyperplane Arrangements (w/P. Bidigare,
P. Hanlon), *Duke
J. Math.,* **99**(1), 1999, pp. 135–174.

- "Deciding Finiteness
for Matrix Groups over Function Fields" (w/K.-S.
Tan, R. Beals)
*,**Israel J. Math.***109**, 1999, pp. 93–116.

·
Level spacings for Cayley graphs (with J. Lafferty), in *Emerging Applications of Number Theory*,
D. Hejhal (ed.), Institute for Mathematics and its
Applications, Volume 109, 1999, pp. 373–386.

- "Some applications
of generalized FFTs"
*in Proceedings of the DIMACS Workshop on Groups and Computation, June 7-10, 1995 eds. L. Finkelstein and W. Kantor, (1997) 329--369.*

- "Generalized FFTs -- A survey of some recent results"
(w/D. Maslen)
*Proceedings of the DIMACS Workshop on Groups and Computation, June 7-10, 1995 eds. L. Finkelstein and W. Kantor, (1997) 183--237.*

- "Separation of Variables
and the Computation of Fourier Transforms on Finite Groups, I"
(w/D. Maslen)
*Journal of the American Math Society,***1 (***10) (1997) 169--214.*

- "Fast Polynomial
Transforms with Applications to Data Analysis for Distance Transitive
Graphs" (w/ J. Driscoll and D. Healy)
*SIAM J. Comp.***26,***(1997), pp. 1066--1099.*

- The
*-product in kneading theory (w/ K. Brucks, R. Galeeva, P. Mumbre, and C. Tresser),
*Fundamenta**Math*.**152**, 1997, pp. 189–209.

- J. Lafferty and D. Rockmore, "Spectral
Techniques for Expander Codes"
*,**1997 STOC*, pp. 160—167.

- A
Smooth Non-Rectangular Time-Frequency Segmentation of L
^{2}(R^{2}) (w/D. Warner and D. Healy),*ICIP*’97

- Spectral
Techniques for Expander Codes and Generalized Cyclic Codes (with J.
Lafferty) in
*ISIT 97*

·
An FFT for the 2-sphere and applications (w/ D. Healy
and S. Moore), in *ICASSP 96*

- Wreath
Products for Image Processing (w/D. Healy and T. Olson) in
*ICASSP 96*

- An
FFT for the 2-sphere and imaging applications (with D. Healy and S. Moore)
in
*IMDSP96*

- "Fast Fourier Transforms for Wreath Products"
*, J. Applied and Computational Harmonic Analysis, 2, (1995) 279--292.*

- "Numerical
Investigation of the Spectrum for Certain Families of Cayley
Graphs" (w/ J. Lafferty)
*DIMACS Series in Disc. Math. and Theor. Comp. Sci., Volume 10, J. Friedman, ed., (1993), 63-73. (Note: the postscript is WITHOUT the figures. We are happy to provide reprints which contain them.)*

- "A Note on the Order of Finite Subgroups of GL(n,Z)" (w/ K.-S.
Tan)
*, Arch. der Math., Vol 64, 283-288 (1995)*

*Adapted diameters and the efficient computation of Fourier transforms on finite groups (w/D. Maslen),**Proceedings of 1995 ACM-SIAM Symposium on Discrete Algorithms**, pp. 253--262.*

- Fast
Fourier inversion for finite groups.
*J. of Assoc. of Comp. Mach*.,**41**(1) (1994) 31-66.

- "Efficient Computation
of Isotypic Projections for the Symmetric
Group" (w/P. Diaconis)
*, DIMACS Series in Disc. Math. and Theor. Comp. Sci., Volume 11, L. Finkelstein and W. Kantor (eds.), (1993), 87-104.*

- Deciding
finiteness of matrix groups in deterministic polynomial time (w/L. Babai and R. Beals).
*Proc. of 1993 ISSAC*, 117-126.

- Symmetry
stabilization for fast discrete monomial transforms and polynomial
evaluation. (w/S. Moore and D. Healy).
*Lin. Alg. and Appl.,***192**(1993) 249-299.

- Renormalization
for the n-torus. (w/V. Baladi,
N. Tongring, and C. Tresser).
*Nonlinearity*,**5**(1992), 1111-1136.

- Computation
of L-series for elliptic curves over function fields, (w/ K.-S. Tan),
*Crelle’s**Jour.,***424**(1992), 107-135.

- Even
n-colorings of the integers, flows on the n-torus, continued fractions and
renormalization. (w/R. Siegel, N. Tongring, and C. Tresser)
*Chaos*, 1 (1991), 25-30.

- Efficient
computation of Fourier transforms on finite groups, (w/P. Diaconis),
*Journal of the American Mathematical Society*,**3**(1990), 297-332

- "Fast Fourier Analysis for
Abelian Group Extensions"
*,**Adv. in Appl. Math., Vol 11, 164-204 (1990)*

- Computation
of Fourier transforms on the symmetric group, Proceedings of 1989
Conference on Computers
and Mathematics, Springer-Verlag,
NY, 1989, 156-165.

**Preprints/Papers
in Revision**

· Stability
of the world trade network over time: an extinction analysis (w/ N. Foti, and S. Pauls), in revision.

· Partition
decoupling for multi-gene analysis of gene expression profiling data (w/R.
Braun, G. Leibon, and Scott Pauls),
in revision.

· Partition decomposition
for roll call data (w/M. Herron, G. Leibon, S. Pauls, and R. Savell), in
revision.

· Robustness
and contagion in the international financial network (w/T. Dette
and S. Pauls), in revision

· A simple
computational method for the identification of disease- associated loci in
complex pedigrees” (w./M. Pollak
and G. Leibon),, arXiv:0710.5625.

· Data Mining and
Network Analysis in the Life and Social Sciences: Potential Opportunities for
the DoD and National Security, in IDA Paper P-3704,
Defense Science Study Group 2000-2001 Papers 1-11,

· December 2002.

· Ruffles and
the turning point algebra (with P. Doyle), number to be assigned.

*· *Computation
of Fourier transforms on the symmetric group, Proceedings of 1989 Conference on
Computers and Mathematics, Springer-Verlag, NY, 1989, 156-165.

**Expository Work**

- D. Rockmore, "Are you my
Mother...Tongue?" PDF version
*SFI Bulletin, to appear* - D. Rockmore, "Network Research: Thinking
about the web requires a web of thinking" PDF version
*For SFI End of year report, Spring 2003*