astronomy

Nizar Touzi

Nizar Touzi is a astronomy 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 Nizar Touzi rather than just read about it. In short: Nizar Touzi (born 1968 in Tunisia) is a Tunisian-French mathematician. He is a professor of applied mathematics at École polytechnique.

Key takeaways

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

Reference excerpt

Nizar Touzi (born 1968 in Tunisia) is a Tunisian-French mathematician. He is a professor of applied mathematics at École polytechnique. His research focuses on analysis, statistics and algebra. He is being known for publications on optimization and stochastic control.

Education Touzi completed his PhD in Applied Mathematics at the Paris Dauphine University under Éric Michel Renault in January 1994. He began his post-doctoral studies at the University of Chicago, doing such from October 1993 to May 1994. After this, he had an HDR at his alma mater, Paris Dauphine University, in January 1999.

Career Touzi began his academic career as an assistant professor at this same institution in September 1994. He worked there for five years before becoming a professor of applied mathematics at Pantheone-Sorbonne University in Paris in September 1999. Touzi’s most cited work, Applications of Malliavin Calculus to Monte Carlo Methods in Finance, was published right before this career change in August 1999. In 2001, Touzi transitioned to the Center for Research in Economics and Statistics to continue teaching applied mathematics. Along with teaching, he also co-led the Finance and Insurance Laboratory at CREST. Between 2001 and 2005, Touzi was an invited professor at multiple institutions, including the University of British Columbia, Princeton University, and the Center for Interuniversity Research and Analysis of Organizations. In September 2005, Touzi accepted a new position as the Chair in Mathematical Finance at the Tanaka Business School of Imperial College London. He worked at the Tanaka Business School for almost a year before holding his most recent and current position as a professor of applied mathematics at École polytechnique. He was also the head of the Department of Applied Mathematics at École polytechnique from September 2014 to August 2017.

Research Touzi's most cited paper, Applications of Malliavin Calculus to Monte Carlo methods in finance, co-authored by Eric Fournié, Jean-Michel Lasry, Jérôme Lebuchoux and Pierre-Louis Lions, describes an original probabilistic method to compute option contract Greeks: delta, gamma, theta, and vega. The method is derived from the formula for integration-by-parts and uses principles from Malliavin calculus. Their approach, when computed on standard European option contracts and compared to results yielded from the Monte Carlo method, happens to be more efficient. This paper had a significant impact in the world of mathematical finance, as previous option contract pricing models were based around the Black-Scholes model and Monte Carlo simulations.

Awards Best Young Researcher in Finance Award 2007 of the Europlace Institute of Finance. The University of Toronto Dean’s Distinguished Visitor Chair, Fields Institute, April-June 2010. Invited Session Speaker at the International Congress of Mathematics, August 2010, Hyderabad (India). ERC Advanced Grant 2012. French Academy of Science Bachelier Prize 2012. Oxford University Visiting Man Chair, One month within the period January July 2014. Minerva Lectures at Columbia University, October 2013, New York. Monetary Authority of Singapore (MAS) Visiting Professor, National University of Singapore, January-February 2018, Singapore. Van Eenam, Butcher, and Butcher Financial/Actuarial Faculty Lecture, the University of Michigan, Department of Mathematics, April 2018, Ann Arbor.

References

Illustrations

Worked examples

Example 1 — a first encounter with Nizar Touzi

Start with the simplest possible case. Write down what Nizar Touzi claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Nizar Touzi 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 Nizar Touzi 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 Nizar Touzi

In research: Nizar Touzi appears in astronomy 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 Nizar Touzi 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: Nizar Touzi is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1968 births, Academic staff of the University of Paris, Academic staff of École polytechnique, so understanding it makes those chapters shorter.
In everyday life: Look for Nizar Touzi 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 Nizar Touzi in 20 minutes

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

Frequently asked questions

What is Nizar Touzi in simple terms?

Nizar Touzi (born 1968 in Tunisia) is a Tunisian-French mathematician. He is a professor of applied mathematics at École polytechnique.

Why does Nizar Touzi matter?

Because it connects several astronomy 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 Nizar Touzi?

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 Nizar Touzi.