mathematics

Katrin Wehrheim

Katrin Wehrheim 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 Katrin Wehrheim rather than just read about it. In short: Katrin Wehrheim (born 1974) is an associate professor of mathematics at the University of California, Berkeley. Wehrheim's research centers around symplectic topology and gauge theory, and they are known for work on pseudoholomorphic quilts.

Key takeaways

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

Reference excerpt

Katrin Wehrheim (born 1974) is an associate professor of mathematics at the University of California, Berkeley. Wehrheim's research centers around symplectic topology and gauge theory, and they are known for work on pseudoholomorphic quilts. With Dusa McDuff, they have challenged the foundational rigor of a classic proof in symplectic geometry.

Education and career After attending school in Hamburg and studying at the University of Hamburg until 1995 and Imperial College until 1996, Wehrheim went to ETH Zürich for graduate studies. After almost dropping out to become an Olympic rower, Wehrheim completed their PhD in 2002, under the joint supervision of Dusa McDuff and Dietmar Salamon. Wehrheim was an instructor at Princeton University and member of the Institute for Advanced Study before taking a tenure track position at the Massachusetts Institute of Technology in 2005. While they were at MIT, Wehrheim—who is openly gay—co-headed the 2008 Celebration of Women in Mathematics conference. Since 2013, Wehrheim has been teaching mathematics at the University of California, Berkeley.

Awards and honors Wehrheim's PhD thesis in mathematics Anti-Self-Dual Instantons with Lagrangian Boundary Conditions won the 2002 ETH medal. In 2010, Wehrheim received the Presidential Career Award PECASE from Barack Obama in a ceremony at the White House. In 2012, Wehrheim became a fellow of the American Mathematical Society.

References

External links Home page

Illustrations

Worked examples

Example 1 — a first encounter with Katrin Wehrheim

Start with the simplest possible case. Write down what Katrin Wehrheim 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 Katrin Wehrheim 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 Katrin Wehrheim 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 Katrin Wehrheim

In research: Katrin Wehrheim 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 Katrin Wehrheim 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: Katrin Wehrheim is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1974 births, 21st-century German LGBTQ people, 21st-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Katrin Wehrheim 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 Katrin Wehrheim in 20 minutes

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

Frequently asked questions

What is Katrin Wehrheim in simple terms?

Why does Katrin Wehrheim 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 Katrin Wehrheim?

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 Katrin Wehrheim.