mathematics

Jeffrey Schenker

Jeffrey Schenker 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 Jeffrey Schenker rather than just read about it. In short: Jeffrey Hudson Schenker (born December 22, 1972) is an American professor of mathematics and current chair of the mathematics department at Michigan State University. His research focuses on mathematical physics, with particular emphasis on Anderson localization, disordered quantum systems, and statistical physics.

Key takeaways

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

Reference excerpt

Jeffrey Hudson Schenker (born December 22, 1972) is an American professor of mathematics and current chair of the mathematics department at Michigan State University. His research focuses on mathematical physics, with particular emphasis on Anderson localization, disordered quantum systems, and statistical physics.

Early life and education Schenker grew up in Laramie, Wyoming, and completed all of his undergraduate and master's education at the University of Wyoming. He was named a National Merit Scholar (1991–1995) and elected to Phi Beta Kappa in 1995. He earned a B.A. with honors in chemistry in 1995, a B.S. with honors in mathematics and a B.S. in physics in 1996, and an M.S. in applied mathematics in 1997. He received his Ph.D. in mathematics in 2002 from Princeton University, with the thesis Schrödinger Evolution: Localization Bounds and Adiabatic Theorems in the Absence of a Gap Condition, written under the supervision of Michael Aizenman. He held an NSF Graduate Fellowship from 1997 to 2000 during his doctoral studies.

Career Schenker was an NSF Postdoctoral Fellow at the University of California, Irvine from 2002 to 2003, a postdoctoral fellow at ETH Zürich from 2003 to 2005, and an NSF Postdoctoral Fellow and member at the Institute for Advanced Study from 2005 to 2007. He joined Michigan State University as an assistant professor in 2007, was promoted to associate professor in 2010, and has been a full professor since 2016. He served as Director of Graduate Studies from 2017 to 2020 and has been Chair of Mathematics since 2022. He has held visiting positions at the Isaac Newton Institute, the Bernoulli Center, the Institute for Advanced Study, the Mittag-Leffler Institute, and Sorbonne Paris North University. Schenker's research centers on the rigorous mathematical analysis of physical systems subject to disorder or randomness. His work spans Anderson localization for random Schrödinger operators, quantum diffusion in fluctuating media, ergodic quantum processes, and mathematical models of statistical physics. He has published more than 70 research papers and received sustained external funding from the National Science Foundation, including a CAREER award.

Awards and honors In 2019, Schenker was elected as a Fellow of the American Mathematical Society in the 2020 class of fellows.

Selected publications M. Aizenman; J. H. Schenker; R. H. Friedrich; D. Hundertmark (2001), "Finite-volume criteria for Anderson localization", Comm. Math. Phys., 224: 219–253 F. Germinet; A. Klein; J. H. Schenker (2007), "Dynamical delocalization in random Landau Hamiltonians", Annals of Mathematics, 166: 215–244 A. Figotin; J. H. Schenker (2007), "Hamiltonian structure for dissipative and dispersive dynamical systems", Journal of Statistical Physics, 128: 969–1056 J. H. Schenker (2009), "Eigenvector Localization for Random Band Matrices with Power Law Band Width", Comm. Math. Phys., 290: 1065–1097 R. Movassagh; J. Schenker (2021), "Theory of Ergodic Quantum Processes", Physical Review X, 11: 041001

References

External links Jeffrey Schenker home page

Worked examples

Example 1 — a first encounter with Jeffrey Schenker

Start with the simplest possible case. Write down what Jeffrey Schenker 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 Jeffrey Schenker 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 Jeffrey Schenker 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 Jeffrey Schenker

In research: Jeffrey Schenker 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 Jeffrey Schenker 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: Jeffrey Schenker is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1972 births, 21st-century American mathematicians, Fellows of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for Jeffrey Schenker 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 Jeffrey Schenker in 20 minutes

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

Frequently asked questions

What is Jeffrey Schenker in simple terms?

Why does Jeffrey Schenker 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 Jeffrey Schenker?

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 Jeffrey Schenker.