mathematics

Judy L. Walker

Judy L. Walker is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Judy L. Walker rather than just read about it. In short: Judy Leavitt Walker is an American mathematician. She is the Aaron Douglas Professor of Mathematics at the University of Nebraska–Lincoln, where she chaired the mathematics department from 2012 through 2016 and currently serves as the Associate Vice Chancellor for Faculty Affairs.

Key takeaways

Judy L. Walker belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Judy L. Walker to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Judy L. Walker from memory before moving on to harder problems.

Reference excerpt

Judy Leavitt Walker is an American mathematician. She is the Aaron Douglas Professor of Mathematics at the University of Nebraska–Lincoln, where she chaired the mathematics department from 2012 through 2016 and currently serves as the Associate Vice Chancellor for Faculty Affairs. Her research is in the area of algebraic coding theory. In 2012, Walker became one of the inaugural Fellows of the American Mathematical Society. Throughout her career, Walker has worked on issues related to women in mathematics. She is co-founder of the University of Nebraska's All Girls/All Math program for high school girls; she represented her department at the White House when they were recognized with a 1998 Presidential Award for Excellence in Science, Mathematics, and Engineering mentoring; and she is co-founder of the Nebraska Conference for Undergraduate Women in Mathematics.

Education Walker graduated from the University of Michigan in 1990, and went on to graduate studies at the University of Illinois at Urbana–Champaign, earning her Ph.D. in 1996 under the supervision of Nigel Boston.

Career She joined the University of Nebraska–Lincoln faculty in 1996, was promoted to full professor in 2006 and took up the Aaron Douglas Professorship in 2012. She held a visiting professorship at École Polytechnique Fédérale de Lausanne (EPFL) during fall 2011.

Academic interests Walker's research is in coding theory, i.e., the study of error-correcting codes. Her primary contributions have been in algebraic geometry codes and low-density parity check codes.

Selected awards Louise Hay Award (Association for Women in Mathematics, 2016) Outstanding Teaching and Instructional Creativity Award (University of Nebraska system, 2014) George Pólya Lecturer (Mathematical Association of America, 2009-2011) Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics (Mathematical Association of America, 2006) Irving Reiner Memorial Award (University of Illinois Department of Mathematics, 1996) Fellow of the Association for Women in Mathematics (2019) 2021 class of Fellows of the American Association for the Advancement of Science.

Selected publications C. Curto, V. Itskov, K. Morrison, Z. Roth, J. Walker (2013), "Combinatorial neural codes from a mathematical coding theory perspective", Neural Computation, 25, No. 7: 1891-1925. Online pdf N. Axvig, D.T. Dreher, K. Morrison, E. Psota, L.C. Pérez, J. Walker (2009), "Analysis of connections between pseudocodewords", IEEE Transactions on Information Theory, 55: 4099-4107. Online pdf Koetter, Ralf; Li, Wen-Ching W.; Vontobel, Pascal O.; Walker, Judy L. (2007), "Characterizations of pseudo-codewords of (low-density) parity-check codes", Advances in Mathematics, 213 (1): 205–229, doi:10.1016/j.aim.2006.12.010, MR 2331243. Online PDF Silverberg, Alice; Staddon, Jessica; Walker, Judy L. (2003), "Applications of list decoding to tracing traitors", IEEE Transactions on Information Theory, 49 (5): 1312–1318, Bibcode:2003ITIT...49.1312S, doi:10.1109/TIT.2003.810630, MR 1984829. Online pdf J. Walker (2000), "Codes and Curves", Student Mathematical Library, IAS/Park City Mathematical Subseries, 7. American Mathematical Society, Providence, RI. Online pdf J.-F. Voloch, J. Walker (2000), "Euclidean weights of codes from elliptic curves over rings", Trans. Amer. Math. Soc., 352: 5063–5076. Online pdf J. Walker (1999), "Algebraic geometric codes over rings", Journal of Pure and Applied Algebra, 144: 91-110. Online pdf J. Walker (1997), "The Nordstrom Robinson code is algebraic geometric", IEEE Transactions on Information Theory, 43: 1588-1593.

References

External links Home page Archived 2014-12-25 at the Wayback Machine

Illustrations

Worked examples

Example 1 — a first encounter with Judy L. Walker

Start with the simplest possible case. Write down what Judy L. Walker claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Judy L. Walker before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Judy L. Walker ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Judy L. Walker

In research: Judy L. Walker appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Judy L. Walker in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Judy L. Walker is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 20th-century American women mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Judy L. Walker outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Judy L. Walker in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Judy L. Walker means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
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Frequently asked questions

What is Judy L. Walker in simple terms?

Why does Judy L. Walker matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Judy L. Walker?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Judy L. Walker.