mathematics

Ilse Fischer

Ilse Fischer 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 Ilse Fischer rather than just read about it. In short: Ilse Fischer (born 29 June 1975) is an Austrian mathematician whose research concerns enumerative combinatorics and algebraic combinatorics, connecting these topics to representation theory and statistical mechanics. She is a professor of mathematics at the University of Vienna.

Key takeaways

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

Reference excerpt

Ilse Fischer (born 29 June 1975) is an Austrian mathematician whose research concerns enumerative combinatorics and algebraic combinatorics, connecting these topics to representation theory and statistical mechanics. She is a professor of mathematics at the University of Vienna.

Education and career Fischer was born in Klagenfurt. She studied at the University of Vienna beginning in 1993, earning a master's degree (mag. rer. nat.), doctorate (dr. rer. nat.), and habilitation there respectively in 1998, 2000, and 2006. Her doctoral dissertation, Enumeration of perfect matchings: Rhombus tilings and Pfaffian graphs, was jointly supervised by Christian Krattenthaler and Franz Rendl, and her habilitation thesis was A polynomial method for the enumeration of plane partitions and alternating sign matrices. She worked as an assistant at Alpen-Adria-Universität Klagenfurt from 1999 to 2004, with a year of postdoctoral research at the Massachusetts Institute of Technology in 2001. She moved to the University of Vienna in 2004, and at Vienna she was promoted to associate professor in 2011 and to full professor in 2017.

Recognition Fischer won the 2006 Dr. Maria Schaumayer Prize, and the 2009 Start-Preis of the Austrian Science Fund. With Roger Behrend and Matjaž Konvalinka, Fischer is a winner of the 2019 David P. Robbins Prize of the American Mathematical Society and Mathematical Association of America, for their joint research on alternating sign matrices.

References

External links Official website

Illustrations

Worked examples

Example 1 — a first encounter with Ilse Fischer

Start with the simplest possible case. Write down what Ilse Fischer 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 Ilse Fischer 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 Ilse Fischer 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 Ilse Fischer

In research: Ilse Fischer 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 Ilse Fischer 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: Ilse Fischer is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1975 births, Academic staff of the University of Vienna, Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Ilse Fischer 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 Ilse Fischer in 20 minutes

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

Frequently asked questions

What is Ilse Fischer in simple terms?

Why does Ilse Fischer 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 Ilse Fischer?

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 Ilse Fischer.