mathematics

Rachel Justine Pries

Rachel Justine Pries 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 Rachel Justine Pries rather than just read about it. In short: Rachel Justine Pries is an American mathematician whose research focuses on arithmetic geometry and number theory. She is a professor at Colorado State University and both a Fellow of the American Mathematical Society and a Fellow of the Association for Women in Mathematics.

Key takeaways

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

Reference excerpt

Rachel Justine Pries is an American mathematician whose research focuses on arithmetic geometry and number theory. She is a professor at Colorado State University and both a Fellow of the American Mathematical Society and a Fellow of the Association for Women in Mathematics.

Education Pries was a student at the Cambridge Rindge and Latin School, in Cambridge, Massachusetts. She received a B.S. degree from Brown University in Providence, Rhode Island in 1994, and received a Ph.D. in mathematics from the University of Pennsylvania in Philadelphia, Pennsylvania in 2000 under the supervision of David Harbater.

Career and research After her doctoral studies, Pries was appointed a National Science Foundation VIGRE post-doctoral fellow at Columbia University for 2000 to 2003. After her post-doc at Columbia, Rachel joined the faculty at Colorado State University, Fort Collins, Colorado, where she is currently a full professor. In one of her most cited works, Families of wildly ramified covers of curves, Pries studied smooth Galois covers of curves, ramified over only one point. In a second highly cited paper, Hyperelliptic curves with prescribed p-torsion, Pries and co-author Darren Glass, proved several results regarding the existence of Jacobian varieties having interesting p-torsion as measured in terms of invariants such as the p-rank and the a-number. Pries serves on the Steering Committee of Women in Number Theory (WIN), a research collaboration community for women mathematicians interested in number theory. She was an editor of Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop (Association for Women in Mathematics Series), which was published by Springer Verlag in 2016.

Honors Pries was elected to the 2018 class of fellows of the American Mathematical Society. Her citation read "for contributions to arithmetic geometry, and for service to the mathematical community." Pries was selected as the inaugural lecturer in the Association for Women in Mathematics Distinguished Lecture Series at the University of Oregon, Eugene, Oregon, in 2013. In 2004, Pries was selected as Outstanding Professor in Graduate Instruction by the mathematics graduate students of Colorado State University Pries was elected to the 2023 class of fellows of the Association for Women in Mathematics "for supporting the research careers of women through mentorship and advocacy; for her vision and hard work establishing the Women in Numbers workshops and research network; and for broadening the participation of women in mathematics through service and leadership both at her institution and in high-profile national and international programs."

References

External links Rachel Pries' website Dr. Rachel Pries - Number Theory (2017 video)

Illustrations

Worked examples

Example 1 — a first encounter with Rachel Justine Pries

Start with the simplest possible case. Write down what Rachel Justine Pries 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 Rachel Justine Pries 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 Rachel Justine Pries 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 Rachel Justine Pries

In research: Rachel Justine Pries 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 Rachel Justine Pries 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: Rachel Justine Pries is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 20th-century American women mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Rachel Justine Pries 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 Rachel Justine Pries in 20 minutes

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

Frequently asked questions

What is Rachel Justine Pries in simple terms?

Why does Rachel Justine Pries 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 Rachel Justine Pries?

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 Rachel Justine Pries.