mathematics

Maria Gordina

Maria Gordina 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 Maria Gordina rather than just read about it. In short: Maria (Masha) Gordina is a Russian-American mathematician. After serving as professor of mathematics at the University of Connecticut for many years, she is currently the John F.

Key takeaways

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

Reference excerpt

Maria (Masha) Gordina is a Russian-American mathematician. After serving as professor of mathematics at the University of Connecticut for many years, she is currently the John F. Randolph Professor in Mathematics at the University of Rochester and chair of the Department of Mathematics there. Her research is at the interface between stochastic analysis, differential geometry, and functional analysis, including the study of heat kernels on infinite-dimensional groups. Gordina is the daughter of mathematician Mikhail (Misha) Gordin.

Education and career Gordina earned a diploma in 1990 from Leningrad State University, and became an assistant professor at the Leningrad Electrotechnical Institute. She completed her doctorate in 1998 from Cornell University; her dissertation, Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group, was supervised by Leonard Gross. Gordina held a post-doctoral appointment at McMaster University. She was awarded a National Science Foundation postdoctoral fellowship in 2000, and conducted research at the University of California, San Diego. In 2003 Gordina joined the University of Connecticut faculty. Gordina serves on the editorial boards of Forum Mathematicum, the Electronic Journal of Probability, and Electronic Communications in Probability.

Honors Gordina was awarded a Humboldt Research fellowship in 2005 (with renewals), and the Ruth I. Michler Memorial Prize of the Association for Women in Mathematics in 2009. She was named a Simons Fellow (2016) in Mathematics and Physical Sciences. She was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to stochastic and geometric analysis, infinite-dimensional analysis, and ergodicity of hypoelliptic diffusions".

Selected publications Baudoin, Fabrice; Feng, Qi; Gordina, Maria Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. J. Funct. Anal. 277 (2019), no. 5, 1362–1422. Banerjee, Sayan; Gordina, Maria; Mariano, Phanuel Coupling in the Heisenberg group and its applications to gradient estimates. Ann. Probab. 46 (2018), no. 6, 3275–3312. Eldredge, Nathaniel; Gordina, Maria; Saloff-Coste, Laurent Left-invariant geometries on SU(2) are uniformly doubling. Geom. Funct. Anal. 28 (2018), no. 5, 1321–1367. Baudoin, Fabrice; Gordina, Maria; Melcher, Tai. Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups. Trans. Amer. Math. Soc. 365 (2013), no. 8, 4313–4350. Driver, Bruce K.; Gordina, Maria Heat kernel analysis on infinite-dimensional Heisenberg groups. J. Funct. Anal. 255 (2008), no. 9, 2395–2461. Cardetti, Fabiana; Gordina, Maria A note on local controllability on Lie groups. Systems Control Lett. 57 (2008), no. 12, 978–979. Gordina, Maria Heat kernel analysis and Cameron-Martin subgroup for infinite dimensional groups. J. Funct. Anal. 171 (2000), no. 1, 192–232.

References

Illustrations

Worked examples

Example 1 — a first encounter with Maria Gordina

Start with the simplest possible case. Write down what Maria Gordina 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 Maria Gordina 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 Maria Gordina 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 Maria Gordina

In research: Maria Gordina 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 Maria Gordina 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: Maria Gordina is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1968 births, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Maria Gordina 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 Maria Gordina in 20 minutes

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

Frequently asked questions

What is Maria Gordina in simple terms?

Maria (Masha) Gordina is a Russian-American mathematician. After serving as professor of mathematics at the University of Connecticut for many years, she is currently the John F.

Why does Maria Gordina 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 Maria Gordina?

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 Maria Gordina.