My Vita (PDF file)
As Chair, I teach only one course per year. I am looking forward to teaching Math 189H in Fall 2013. The title of
this honors freshman seminar is "The Joy of Numbers: Stalking the
Big Primes".
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The Department of Mathematics at the University of Nebraska has been
awarded two 5-year grants titled Nebraska Mentoring through
Critical Transition Points by the National Science
Foundation. I was the lead PI on the first of these grants and a
co-PI on the current one.
The Fifteenth Annual Nebraska Conference for Undergraduate Women in
Mathematics was held at UNL January 25-27, 2013. See our website for more
information. If you have questions, send email to ncuwm@math.unl.edu.
By the way, this conference was started in celebration of the UNL
Department of Mathematics and Statistics receipt of the 1998 Presidential
Award for Excellence in Science, Mathematics, and Engineering
Mentoring.(Follow that link for information on the award, and to
see a cool picture of me with President Clinton!)
- Christine Kelley
and I organized a Special
Session on Coding Theory at the AMS Sectional Meeting in Lincoln
on October 14-16, 2011.
- I was on leave for the Fall 2011 semester, spending a good chunk
of the semester at a special program in Combinatorial, Algebraic and Algorithmic Aspects
of Coding Theory at the Bernoulli
Institute in Lausanne, Switzerland.
- My main research area is algebraic coding theory.
- Here are some of my recent papers (sorry; this is in need of updating):
- Connections between computation trees and graph covers
(coauthor: D. Dreher)
- in Proceedings of the 2009 Information Theory and Applications
Workshop, San Diego, CA; February 2009.
- PDF file
- Towards universal cover decoding
(coauthors: N. Axvig, D. Dreher, K. Morrison, E. Psota and
L.C. Pérez)
- in Proceedings of the 2008 International Symposium on Information
Theory and its Applications, Auckland, New Zealand; December 2008.
- PDF file
- Average min-sum decoding of LDPC codes
(coauthors: N. Axvig, D. Dreher, K. Morrison, E. Psota and
L.C. Pérez)
- in Proceedings of the 2008 International Symposium on Turbo Codes
and Related Topics (TURBO), Laussanne, Switzerland; September 2008.
- PDF file
- Analysis of connections between pseudocodewords
(coauthors: N. Axvig, D. Dreher, K. Morrison, E. Psota and
L.C. Pérez)
- accepted pending revisions to IEEE Transactions on Information
Theory, October 2008.
- PDF file
- A universal theory of decoding and pseudocodewords
(coauthors: N. Axvig, D. Dreher, K. Morrison, E. Psota and
L.C. Pérez)
- SGER Technical report, 2008.
- PDF file
- Algebraic geometric codes over rings
(coauthor: K. Bartley)
- to appear in Advances in Algebraic Geometry Codes, Series on
Coding Theory and Cryptography (World Scientific); E. Martinez-Moro,
C. Munuera and D. Ruano, eds.
- PDF file
- LDPC codes from voltage graphs
(coauthor: C. Kelley)
- to appear in International Symposium on Information Theory
(ISIT), July 2008.
- PDF file
- A universal theory of pseudocodewords
(coauthors: N. Axvig, E. Price, E. Psota, D. Turk, L.C. Perez)
- In the proceedings of the 45th Annual Allerton
Conference on Communication, Control, and Computing
- PDF file
- Characterizations of pseudo-codewords of LDPC codes
(coauthors: Ralf Koetter, Winnie Li and Pascal Vontobel)
- Advances in Mathematics, 217 (2007) 205-229.
- Due to copyright restrictions, I cannot post this paper here.
But please email me
if you'd like me to send you the .pdf.
- Pseudo-codewords of cycle codes via zeta functions
(coauthors: Ralf Koetter, Winnie Li and Pascal Vontobel)
- in Proceedings of the IEEE Information Theory Workshop, San
Antonio, TX, Oct. 24-29, 2004.
- PDF
file
- s-extremal additive GF(4) codes
(coauthors: E.P. Bautista, P. Gaborit and J.-L. Kim)
- Advances in Mathematics of Communications 1 (2007) 111-130.
- PDF file
- Nonbinary quantum error-correcting codes from algebraic curves
(coauthor: Jon-Lark Kim)
- Discrete Math 308 (2008) 3115-3124.
- PDF file
- Applications of list decoding to tracing traitors
(coauthors: Alice Silverberg and Jessica Staddon)
- IEEE Transactions on Information Theory, 49 (2003) 1312-1318.
- DVI file PDF file
- Homogeneous weights and exponential sums
(coauthor: Jose
Felipe Voloch)
- Finite Fields and Their Applications, 9 (2003) 310-321.
- DVI file PDF file
- Efficient traitor tracing algorithms using list decoding
(coauthors: Alice Silverberg and Jessica Staddon)
- In Advances in Cryptology - ASIACRYPT 2001, Lecture Notes in
Computer Science 2248, 175-192.
- A critical look at self-dual codes
- In the proceedings of the 38th Annual Allerton
Conference on Communication, Control, and Computing
- DVI file PDF file
- Constructing critical indecomposable codes
- IEEE Transactions on Information Theory, 47 (2001) 1780-1795.
- Codes and Curves
- This is an expository monograph, published by the AMS in
the IAS/Park City Mathematical Subseries of the Student Mathematical
Series, available from the American Mathematical Society. A
corrected reprint will be available from the AMS soon!
- Codes over rings from curves of higher genus
(coauthor: Jose
Felipe Voloch)
- IEEE Transactions on Information Theory 45(1999), 1768-1776.
- Lee weights of Z/4Z-codes from elliptic curves
(coauthor: Jose
Felipe Voloch)
- in Codes, Curves, and Signals: Common Threads in
Communications
- DVI file Postscript file
- Euclidean weights of codes from elliptic curves over rings
(coauthor: Jose Felipe Voloch)
- Transactions of the American Mathematical Society, 352 (2000),
5063-5076.
- Algebraic geometric codes over rings
- J. Pure Appl. Algebra 144 (1999), 91-110.
- The Nordstrom-Robinson code is algebraic geometric
- IEEE Transactions on Information Theory 43(1997), 1588-1593.
- A new approach to the main conjecture on algebraic geometric
MDS codes
- Designs, Codes and Cryptography 9 (1996), 115-120.
- In addition, I have one paper on finite group theory:
- Two-groups with few conjugacy classes
(coauthor: Nigel Boston
)
- Proc. Edinburgh Math. Soc. (2) 43 (2000), 211-217.
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- Project NExT
- Project NExT is an MAA program, funded with a grant from the
Exxon Educational Foundation, for new and recent Ph.D.'s in their
first few years of a teaching position. I am a 1996-7 Project NExT
Fellow (a "Blue Dot").
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Someday, they'll even be ORGANIZED cool links!
- I got my PhD at the University of Illinois. My advisor
was Nigel Boston (now
at the University of Wisconsin).
- UIUC has the MAGMA
handbook online. You can go straight to the index if
you want.
- Another tool for group theory is GAP. It's free but
not as powerful as MAGMA.
- If you're more interested in commutative algebra or algebraic
geometry, Macaulay 2
is very useful.
- I serve on the editorial board for three journals:
Journal of Pure And Applied Algebra (JPAA)
Advances in Mathematics of Communications (AMC)
Rose-Hulman Undergraduate Mathematics Journal
- The American Mathematical
Society page has lots of useful information for mathematicians,
including the Combined Membership
List, a list of AMS Meetings
and Conferences, and MathSciNet.
- The National Security Agency
offers grants to
people working in certain types of mathematics.
- The Penn State Math Department maintains a list of Mathematics
Information Servers. You can jump directly to the USA list if
you want.
- The IEEE is a professional
society for electrical engineers. The IEEE Transactions on
Information Theory is a journal which publishes lots of great
articles on coding theory.
- The National Science Foundation
also funds all sorts of mathematics- (and science-) related
activities. The Division of
Mathematical Sciences is the main place to go for grants in
mathematics. To apply for a grant, you need the Grant Proposal
Guide. You also need to know about Fastlane.
- You can find an address or phone number for just about anything
at BigBook, or you might want to
try AnyWho.
- If you need to know currency exchange rates,
there's a great site at Yahoo.
- Travelocity provides a
good search
engine for plane tickets and rental cars, as does Expedia.
- The best place to check
flight status is at Yahoo.
- Midwest Express
offers nonstop flights from Omaha to many places with "first class"
service.
- If you want general quotations, Bartlett's can't be
beat. However, there's another site for Mathematical
Quotations.
- Want to see a movie in
Lincoln? Maybe you should check out a review
first (from
Roger Ebert at the Chicago Sun Times).
- For driving directions, check out MapQuest.
- Check out the online Merriam-Webster Dictionary for all your
spelling and definition needs! You can also improve your vocabulary
with their Word-of-the-Day page.
- Francis Su, a Project NExT Blue Dot at Harvey Mudd, put together a
page of
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Judy Walker's Home Page
Last modified: Tue Apr 2 14:54:29 CDT 2013
Comments to
jwalker@math.unl.edu
