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TIMESTAMPS

	Aaron Douglas Professor Chair,Department of Mathematics University of Nebraska - Lincoln Lincoln, NE 68588-0130 E-mail:judy.walker@unl.edu Office: 206 Avery Hall Office Phone: (402) 472-3731 Fax: (402) 472-8466

Current Courses

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".

Nebraska Mentoring through Critical Transition Points

Nebraska Conference for Undergraduate Women inMathematics

By the way, this conference was started in celebration of the UNLDepartment of Mathematics and Statistics receipt of the 1998 PresidentialAward for Excellence in Science, Mathematics, and EngineeringMentoring.(Follow that link for information on the award, and tosee a cool picture of me with President Clinton!)

Research Interests

Christine Kelley and I organized aSpecial 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 inCombinatorial, Algebraic and Algorithmic Aspects of Coding Theory atthe 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 pleaseemail meif 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, SanAntonio, 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 filePDF file

Homogeneous weights and exponential sums (coauthor:JoseFelipe Voloch)

Finite Fields and Their Applications, 9 (2003) 310-321.

DVI filePDF 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 filePDF 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:JoseFelipe Voloch)

IEEE Transactions on Information Theory 45(1999), 1768-1776.

Lee weights of Z/4Z-codes from elliptic curves(coauthor:JoseFelipe Voloch)

in Codes, Curves, and Signals: Common Threads in Communications

DVI filePostscript 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 geometricMDS 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.

Teaching Interests

Project NExT

Project NExT is an MAA program, funded with a grant from theExxon Educational Foundation, for new and recent Ph.D.'s in theirfirst few years of a teaching position. I am a 1996-7 Project NExTFellow (a "Blue Dot").

Cool Links

I got my PhD at theUniversity of Illinois. My advisor wasNigel Boston (now at theUniversity of Wisconsin).

UIUC has theMAGMAhandbook online. You can go straight to theindex ifyou want.

Another tool for group theory isGAP. It's free butnot as powerful as MAGMA.

If you're more interested in commutative algebra or algebraicgeometry,Macaulay 2is 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

TheAmerican MathematicalSociety page has lots of useful information for mathematicians,including theCombined MembershipList, a list ofAMS Meetingsand Conferences, andMathSciNet.

TheNational Security Agencyoffersgrants topeople working in certain types of mathematics.

The Penn State Math Department maintains a list ofMathematicsInformation Servers. You can jump directly to theUSA list ifyou want.

TheIEEE is a professionalsociety for electrical engineers. TheIEEE Transactions onInformation Theory is a journal which publishes lots of greatarticles on coding theory.

TheNational Science Foundationalso funds all sorts of mathematics- (and science-) relatedactivities. TheDivision ofMathematical Sciences is the main place to go for grants inmathematics. To apply for a grant, you need theGrant ProposalGuide. You also need to know about Fastlane.

You can find an address or phone number for just about anythingatBigBook, or you might want totryAnyWho.

If you need to knowcurrency exchange rates,there's a great site atYahoo.

Travelocity provides agood search engine for plane tickets and rental cars, as doesExpedia.

The best place tocheckflight status is atYahoo.

Midwest Expressoffers nonstop flights from Omaha to many places with "first class"service.

If you want general quotations,Bartlett's can't bebeat. However, there's another site forMathematicalQuotations.

Want to see amovie inLincoln? Maybe you should check out areviewfirst (from Roger Ebert at the Chicago Sun Times).

For driving directions, check outMapQuest.

Check out the online Merriam-WebsterDictionary for all yourspelling and definition needs! You can also improve your vocabularywith their Word-of-the-Day page.

Francis Su, a Project NExT Blue Dot at Harvey Mudd, put together a page of