mathematics

Roman Holowinsky

Roman Holowinsky 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 Roman Holowinsky rather than just read about it. In short: Roman Holowinsky (born July 26, 1979) is an American mathematician known for his work in number theory and, in particular, the theory of modular forms. He is currently an associate professor with tenure at the Ohio State University.

Key takeaways

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

Reference excerpt

Roman Holowinsky (born July 26, 1979) is an American mathematician known for his work in number theory and, in particular, the theory of modular forms. He is currently an associate professor with tenure at the Ohio State University. Holowinsky was awarded the SASTRA Ramanujan Prize in 2011 for his contributions to "areas of mathematics influenced by the genius Srinivasa Ramanujan", for proving, with Kannan Soundararajan, an important case of the quantum unique ergodicity (QUE) conjecture. In 2011, Holowinsky was also awarded a Sloan Fellowship. Holowinsky received a Bachelors in Science Degree from Rutgers University in 2001. Afterwards, he continued his studies at Rutgers and received his PhD in 2006 under the direction of Henryk Iwaniec. In 2017, he founded the Erdős Institute, a multi-university collaboration focused on helping graduate students, postdocs, and graduate alumni find rewarding jobs in industry.

References

External links Official website Erdős Institute

Illustrations

Worked examples

Example 1 — a first encounter with Roman Holowinsky

Start with the simplest possible case. Write down what Roman Holowinsky 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 Roman Holowinsky 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 Roman Holowinsky 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 Roman Holowinsky

In research: Roman Holowinsky 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 Roman Holowinsky 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: Roman Holowinsky is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1979 births, 21st-century American mathematicians, American number theorists, so understanding it makes those chapters shorter.
In everyday life: Look for Roman Holowinsky 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 Roman Holowinsky in 20 minutes

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

Frequently asked questions

What is Roman Holowinsky in simple terms?

Why does Roman Holowinsky 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 Roman Holowinsky?

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 Roman Holowinsky.