mathematics

Kenneth Millett

Kenneth Millett 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 Kenneth Millett rather than just read about it. In short: Kenneth C. Millett (born 1941) is a professor of mathematics at the University of California, Santa Barbara.

Key takeaways

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

Reference excerpt

Kenneth C. Millett (born 1941) is a professor of mathematics at the University of California, Santa Barbara. His research concerns low-dimensional topology, knot theory, and the applications of knot theory to DNA structure; his initial is the "M" in the name of the HOMFLY polynomial. Millett graduated from the Massachusetts Institute of Technology in 1963 with a bachelor's degree in mathematics. He earned his Ph.D. in 1967 from the University of Wisconsin under the supervision of Edward R. Fadell. After short-term instructor positions at the University of California, Los Angeles and MIT, he joined the UCSB faculty in 1969 and was promoted to professor in 1979. Millett won the Carl B. Allendoerfer Award of the Mathematical Association of America in 1989 and the Chauvenet Prize in 1991 for a paper on knot theory with W. B. R. Lickorish. He became a fellow of the American Association for the Advancement of Science in 2000. In 2012, he became one of the inaugural fellows of the American Mathematical Society.

Selected publications with Eric J. Rawdon, Andrzej Stasiak: Rawdon, Eric J.; Millett, Kenneth C.; Stasiak, Andrzej (2015). "Subknots in ideal knots, random knots, and knotted proteins". Sci. Rep. 5 8928. Bibcode:2015NatSR...5.8928R. doi:10.1038/srep08928. PMC 4354144. PMID 25753957. with Michal Jamroz, Wanda Niemyska, Eric J. Rawdon, Andrzej Stasiak, Piotr Sułkowski, Joanna I. Sulkowska: Jamroz, Michal; Niemyska, Wanda; Rawdon, Eric J.; Stasiak, Andrzej; Millett, Kenneth C.; Sułkowski, Piotr; Sulkowska, Joanna I. (28 January 2015). "KnotProt: a database of proteins with knots and slipknots". Nucleic Acids Res. 43 (Database issue): D306–D314. doi:10.1093/nar/gku1059. PMC 4383900. PMID 25361973. with Joanna I. Sułkowska, Eric J. Rawdon, Jose N. Onuchic, Andrzej Stasiak: Sulkowska, J. I.; Rawdon, E. J.; Millett, K. C.; Onuchic, J. N.; Stasiak, A. (26 June 2012). "Conservation of complex knotting and slipknotting patterns in proteins". Proc Natl Acad Sci U S A. 109 (26): E1715–E1723. doi:10.1073/pnas.1205918109. PMC 3387036. PMID 22685208. with D. Jonish: Jonish, D.; Millett, K. C. (1991). "Isotopy invariants of graphs". Trans. Amer. Math. Soc. 327 (2): 655–702. doi:10.1090/s0002-9947-1991-1062189-2. MR 1062189. with P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish and A. Ocneanu: Freyd, P.; Yetter, D.; Hoste, J.; Lickorish, W. B. R.; Millett, K.; Ocneanu, A. (1985). "A new polynomial invariant of knots and links". Bull. Amer. Math. Soc. (N.S.). 12 (2): 239–246. doi:10.1090/s0273-0979-1985-15361-3. MR 0776477. Millett, Kenneth C. (1978). "Piecewise linear embeddings of balls into contractible manifolds". Proc. Amer. Math. Soc. 70: 85–86. doi:10.1090/s0002-9939-1978-0467761-5. MR 0467761. Millett, Kenneth C. (1976). "Piecewise linear bundles in the metastable range". Trans. Amer. Math. Soc. 216: 337–350. doi:10.1090/s0002-9947-1976-0423361-7. MR 0423361. Piecewise linear concordances and isotopies. Memoirs of the AMS. 1974. MR 0365585. Millett, Kenneth C. (1969). "Normal structures for locally flat embeddings". Proc. Amer. Math. Soc. 20 (2): 580–584. doi:10.1090/s0002-9939-1969-0246306-3. MR 0246306. Millett, Kenneth C. (1969). "Nonsingular sections to Euclidean bundles". Trans. Amer. Math. Soc. 144: 127–143. doi:10.1090/s0002-9947-1969-0253356-4. MR 0253356.

References

External links Home page Google scholar profile

Worked examples

Example 1 — a first encounter with Kenneth Millett

Start with the simplest possible case. Write down what Kenneth Millett 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 Kenneth Millett 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 Kenneth Millett 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 Kenneth Millett

In research: Kenneth Millett 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 Kenneth Millett 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: Kenneth Millett is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1941 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Kenneth Millett 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 Kenneth Millett in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Kenneth Millett 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.
Explain Kenneth Millett out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Kenneth Millett in simple terms?

Kenneth C. Millett (born 1941) is a professor of mathematics at the University of California, Santa Barbara.

Why does Kenneth Millett 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 Kenneth Millett?

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 Kenneth Millett.