mathematics

Katherine E. Stange

Katherine E. Stange 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 Katherine E. Stange rather than just read about it. In short: Katherine E. Stange is a Canadian-American mathematician and an associate professor of mathematics at the University of Colorado Boulder.

Key takeaways

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

Reference excerpt

Katherine E. Stange is a Canadian-American mathematician and an associate professor of mathematics at the University of Colorado Boulder. She is a number theorist specializing in topics in arithmetic geometry.

Education and career Stange earned her PhD in mathematics from Brown University in 2008 under the supervision of Joseph H. Silverman. She was a National Science Foundation (NSF) Postdoctoral Fellow and Junior Lecturer at Harvard University from 2008 to 2009. She also held postdoctoral fellowships at Simon Fraser University, Pacific Institute for the Mathematical Sciences, and the University of British Columbia (2009–2011) and Stanford University (2011–2012). In 2012, Stange joined the faculty at the University of Colorado Boulder as an assistant professor. She was promoted to associate professor with indefinite tenure effective August 2018. Stange has been active in Women in Numbers, the prototype for the Association for Women in Mathematics' Research Collaboration Networks for Women. She was co-organizer and proceedings co-editor of Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop and a project leader for Women in Numbers 4. Stange served on the American Mathematical Society Committee on Women in Mathematics (CoWIM) from 2019–2020.

Recognition The Mathematical Association of America presented Stange and Lionel Levine the 2013 Paul R. Halmos - Lester R. Ford Award for outstanding paper in The American Mathematical Monthly for their paper How to make the most of a shared meal: plan the last bite first. Stange was elected a Fellow of the Association for Women in Mathematics in the Class of 2021 "for leadership in the Women in Numbers Network by creating its website (the first of its kind), mentoring early-career researchers, organizing conferences, editing its proceedings volumes, and chairing its steering committee; and for service on AWM committees, including support of other research networks". She was named a 2021 Simons Fellow in Mathematics. Stange is the 2020 recipient of the Ribenboim Prize, awarded biennially by the Canadian Number Theory Association for distinguished research in number theory by a mathematician who is Canadian or has close connections to Canadian mathematics. She was elected to the 2026 class of Fellows of the American Mathematical Society.

References

External links Katherine E. Stange's Author Profile on MathSciNet Katherine E. Stange publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Katherine E. Stange

Start with the simplest possible case. Write down what Katherine E. Stange 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 Katherine E. Stange 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 Katherine E. Stange 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 Katherine E. Stange

In research: Katherine E. Stange 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 Katherine E. Stange 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: Katherine E. Stange is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 20th-century American women mathematicians, 20th-century Canadian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Katherine E. Stange 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 Katherine E. Stange in 20 minutes

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

Frequently asked questions

What is Katherine E. Stange in simple terms?

Katherine E. Stange is a Canadian-American mathematician and an associate professor of mathematics at the University of Colorado Boulder.

Why does Katherine E. Stange 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 Katherine E. Stange?

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 Katherine E. Stange.