mathematics

Ulrike Tillmann

Ulrike Tillmann 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 Ulrike Tillmann rather than just read about it. In short: Ulrike Luise Tillmann FRS is a mathematician specializing in algebraic topology, who has made important contributions to the study of the moduli space of algebraic curves. She was the president of the London Mathematical Society in the period 2021–2022.

Key takeaways

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

Reference excerpt

Ulrike Luise Tillmann FRS is a mathematician specializing in algebraic topology, who has made important contributions to the study of the moduli space of algebraic curves. She was the president of the London Mathematical Society in the period 2021–2022. She is titular Professor of Mathematics at the University of Oxford and a Fellow of Merton College, Oxford. In 2021 she was appointed Director of the Isaac Newton Institute at the University of Cambridge, and N.M. Rothschild & Sons Professor of Mathematical Sciences at Cambridge, but continued to hold a part-time position at Oxford.

Education Tillmann completed her Abitur at Gymnasium Georgianum in Vreden. She received a BA from Brandeis University in 1985, followed by a MA from Stanford University in 1987. She read for a PhD under the supervision of Ralph Cohen at Stanford University, where she was awarded her doctorate in 1990. She was awarded Habilitation in 1996 from the University of Bonn.

Awards and honours In 2004 she was awarded the Whitehead Prize of the London Mathematical Society. She was elected a Fellow of the Royal Society in 2008 and a Fellow of the American Mathematical Society in 2013. She has served on the council of the Royal Society and in 2018 was its vice-president. In 2017, she became a member of the German Academy of Sciences Leopoldina. Tillmann was awarded the Bessel Prize by the Alexander von Humboldt Foundation in 2008 and was the Emmy Noether Lecturer of the German Mathematical Society in 2009. She was elected as president-designate of the London Mathematical Society in June 2020 and took over the presidency from Jonathan Keating in November 2021. She was elected to the European Academy of Sciences (EURASC) in 2021. In October 2021 she became the director of the Isaac Newton Institute, taking a post which lasts for five years.

Personal life Tillmann's parents are Ewald and Marie-Luise Tillmann. In 1995 she married Jonathan Morris with whom she has had three daughters. Tillmann is a member of the Oxford Jewish Congregation. As part of the celebration of the 750th anniversary of the founding of Merton College, she organized a symposium on the history of Merton College and its relationship with Oxford's Jewish community.

Publications Tillmann, Ulrike (1997). "On the homotopy of the stable mapping class group". Inventiones Mathematicae. 130 (2): 257–275. Bibcode:1997InMat.130..257T. doi:10.1007/s002220050184. hdl:10338.dmlcz/127120. MR 1474157. S2CID 121645148. Madsen, Ib; Tillmann, Ulrike (2001). "The stable mapping class group and Q ( C P + ∞ ) {\displaystyle Q(\mathbb {C} {P_{+}^{\infty }})} ". Inventiones Mathematicae. 145 (3): 509–544. doi:10.1007/PL00005807. MR 1856399. Galatius, Soren; Madsen, Ib; Tillmann, Ulrike (2006). "Divisibility of the stable Miller-Morita-Mumford classes". Journal of the American Mathematical Society. 19 (4): 759–779. doi:10.1090/S0894-0347-06-00523-6. MR 2219303. Galatius, Søren; Tillmann, Ulrike; Madsen, Ib; Weiss, Michael (2009). "The homotopy type of the cobordism category". Acta Mathematica. 202 (2): 195–239. arXiv:math/0605249. doi:10.1007/s11511-009-0036-9. MR 2506750.

References

External links

Official website

Illustrations

Worked examples

Example 1 — a first encounter with Ulrike Tillmann

Start with the simplest possible case. Write down what Ulrike Tillmann 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 Ulrike Tillmann 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 Ulrike Tillmann 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 Ulrike Tillmann

In research: Ulrike Tillmann 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 Ulrike Tillmann 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: Ulrike Tillmann is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century German mathematicians, 21st-century German mathematicians, Academics of the University of Oxford, so understanding it makes those chapters shorter.
In everyday life: Look for Ulrike Tillmann 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 Ulrike Tillmann in 20 minutes

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Frequently asked questions

What is Ulrike Tillmann in simple terms?

Why does Ulrike Tillmann 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 Ulrike Tillmann?

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 Ulrike Tillmann.