mathematics

Jennifer Hom

Jennifer Hom 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 Jennifer Hom rather than just read about it. In short: Jennifer Cheung Hom is an American mathematician whose research concerns low-dimensional topology, including Heegaard Floer homology and link concordance. She is a professor of mathematics at Georgia Tech.

Key takeaways

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

Reference excerpt

Jennifer Cheung Hom is an American mathematician whose research concerns low-dimensional topology, including Heegaard Floer homology and link concordance. She is a professor of mathematics at Georgia Tech.

Education and career Hom majored in applied physics at Columbia University, with a minor in applied mathematics, graduating magna cum laude in 2004. She became a doctoral student of Paul Melvin at the University of Pennsylvania, completing a Ph.D. in 2011 with the dissertation Heegaard Floer invariants and cabling. She returned to Columbia University as Ritt Assistant Professor from 2011 to 2015, when she moved to Georgia Tech. She was tenured there as an associate professor in 2018.

Recognition Hom was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to low-dimensional topology, Heegaard Floer homology, and service to the mathematical community". In 2024 she was awarded the Levi L. Conant Prize of the American Mathematical Society.

References

External links Home page Jennifer Hom publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Jennifer Hom

Start with the simplest possible case. Write down what Jennifer Hom 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 Jennifer Hom 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 Jennifer Hom 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 Jennifer Hom

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

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

Frequently asked questions

What is Jennifer Hom in simple terms?

Why does Jennifer Hom 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 Jennifer Hom?

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 Jennifer Hom.