mathematics

Kirsten Wickelgren

Kirsten Wickelgren 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 Kirsten Wickelgren rather than just read about it. In short: Kirsten Graham Wickelgren is an American mathematician whose research interests range over multiple areas including algebraic geometry, algebraic topology, arithmetic geometry, and anabelian geometry. She is a professor of mathematics at Duke University.

Key takeaways

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

Reference excerpt

Kirsten Graham Wickelgren is an American mathematician whose research interests range over multiple areas including algebraic geometry, algebraic topology, arithmetic geometry, and anabelian geometry. She is a professor of mathematics at Duke University.

Education and career Wickelgren was one of the finalists in the 1999 Intel Science Talent Search. She majored in mathematics at Harvard University, graduating magna cum laude in 2003. After a year at the École normale supérieure (Paris), she went to Stanford University for doctoral study in mathematics, completing her Ph.D. in 2009. Her dissertation, Lower Central Series Obstructions To Homotopy Sections of Curves Over Number Fields, was supervised by Gunnar Carlsson. She returned to Harvard as a five-year postdoctoral research fellow, funded by the American Institute of Mathematics, and in 2013 became an assistant professor at Georgia Tech. In 2018 she was tenured as associate professor there, and in 2019 she moved to Duke University as a full professor. In 2017, Wickelgren and Jesse Kass used motivic homotopy theory to count the lines on a smooth cubic surface, generalizing known results in enumerative geometry, and stimulating new research in the field.

Recognition Wickelgren was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to algebraic topology, algebraic geometry, and number theory".

Family Wickelgren is daughter of psychologists Norma Graham and Wayne Wickelgren, sister of physicist Peter W. Graham, and half-sister of lawyer Abraham Wickelgren. She is granddaughter of psychologist Frances K. Graham and great-granddaughter of surgeon Evarts Ambrose Graham.

References

External links Home page

Illustrations

Worked examples

Example 1 — a first encounter with Kirsten Wickelgren

Start with the simplest possible case. Write down what Kirsten Wickelgren 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 Kirsten Wickelgren 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 Kirsten Wickelgren 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 Kirsten Wickelgren

In research: Kirsten Wickelgren 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 Kirsten Wickelgren 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: Kirsten Wickelgren is common in secondary-school and first-year university syllabi. It links to neighbouring topics American mathematicians, American women mathematicians, Duke University faculty, so understanding it makes those chapters shorter.
In everyday life: Look for Kirsten Wickelgren 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 Kirsten Wickelgren in 20 minutes

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

Frequently asked questions

What is Kirsten Wickelgren in simple terms?

Why does Kirsten Wickelgren 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 Kirsten Wickelgren?

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 Kirsten Wickelgren.