mathematics

Mohammed Abouzaid

Mohammed Abouzaid 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 Mohammed Abouzaid rather than just read about it. In short: Mohammed Abouzaid (Arabic: محمد أبوزيد; born 1981) is a Moroccan mathematician working in symplectic topology. He is a professor at Stanford University.

Key takeaways

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

Reference excerpt

Mohammed Abouzaid (Arabic: محمد أبوزيد; born 1981) is a Moroccan mathematician working in symplectic topology. He is a professor at Stanford University. He obtained his PhD in 2007 at the University of Chicago under Paul Seidel's supervision.

Education and career Mohammed Abouzaid was born in 1981. In 2007, he received his PhD under the supervision of Paul Seidel from the University of Chicago with thesis Homological Mirror Symmetry for Toric Varieties. As a postdoctoral researcher, he was a Clay Mathematics Institute Research Fellow from 2007 to 2012, concurrently, he was also a postdoctoral fellow at Massachusetts Institute of Technology. From 2012 to 2013, he was a visiting professor at the Simons Center for Geometry and Physics. From 2012 to 2023, he was an associate professor at Columbia University. Since 2023 he has been Professor of Mathematics at Stanford University. As of 2026, he supervised 7 PhD students.

Awards and honors Abouzaid was an invited speaker the International Congress of Mathematicians in 2014. In 2017, he won the New Horizons in Mathematics Prize "For distinguishing cotangent bundles of exotic spheres, constructing the wrapped Fukaya category with Paul Seidel, and other decisive contributions to symplectic topology and mirror symmetry." In 2018 he became a fellow of the American Mathematical Society.

Selected publications Abouzaid, Mohammed (2009). "Morse homology, tropical geometry, and homological mirror symmetry for toric varieties". Selecta Mathematica. 15 (2): 189–270. arXiv:math/0610004. doi:10.1007/s00029-009-0492-2. ISSN 1420-9020. Abouzaid, Mohammed; Seidel, Paul (2010). "An open string analogue of Viterbo functoriality". Geometry & Topology. 14 (2): 627–718. arXiv:0712.3177. doi:10.2140/gt.2010.14.627. ISSN 1364-0380. Abouzaid, Mohammed (2010). "A geometric criterion for generating the Fukaya category". Publications mathématiques de l'IHÉS. 112 (1): 191–240. arXiv:1001.4593. doi:10.1007/s10240-010-0028-5. ISSN 1618-1913. Abouzaid, Mohammed (2012). "Nearby Lagrangians with vanishing Maslov class are homotopy equivalent". Inventiones mathematicae. 189 (2): 251–313. arXiv:1005.0358. doi:10.1007/s00222-011-0365-0. ISSN 1432-1297. Abouzaid, Mohammed (2012). "On the wrapped Fukaya category and based loops". Journal of Symplectic Geometry. 10 (1). ISSN 1527-5256. Archived from the original on 2025-09-15. Abouzaid, Mohammed; Auroux, Denis; Efimov, Alexander I.; Katzarkov, Ludmil; Orlov, Dmitri (2013). "Homological Mirror Symmetry for Punctured Spheres". Journal of the American Mathematical Society. 26 (4): 1051–1083. arXiv:1103.4322. ISSN 0894-0347. JSTOR 43302831. Abouzaid, Mohammed; Auroux, Denis; Katzarkov, Ludmil (2016). "Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces". Publications mathématiques de l'IHÉS. 123 (1): 199–282. arXiv:1205.0053. doi:10.1007/s10240-016-0081-9. ISSN 1618-1913. Abouzaid, Mohammed; Courte, Sylvain; Guillermou, Stéphane; Kragh, Thomas (2025). "Twisted generating functions and the nearby Lagrangian conjecture". Duke Mathematical Journal. 174 (5). arXiv:2011.13178. doi:10.1215/00127094-2024-0052.short. ISSN 0012-7094. Archived from the original on 2025-07-31.

References

External links Video: Mohammed Abouzaid - Family Floer cohomology and mirror symmetry (2014) via YouTube Video: Floer theory revisited - Mohammed Abouzaid (2016) via YouTube Video: Classical background by Mohammed Abouzaid (2018) via YouTube Video: Mohammed Abouzaid: 2017 Breakthrough Prize Laureate Interviews (2018) via YouTube

Illustrations

Worked examples

Example 1 — a first encounter with Mohammed Abouzaid

Start with the simplest possible case. Write down what Mohammed Abouzaid 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 Mohammed Abouzaid 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 Mohammed Abouzaid 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 Mohammed Abouzaid

In research: Mohammed Abouzaid 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 Mohammed Abouzaid 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: Mohammed Abouzaid is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1981 births, 21st-century Moroccan scientists, 21st-century mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Mohammed Abouzaid 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 Mohammed Abouzaid in 20 minutes

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Frequently asked questions

What is Mohammed Abouzaid in simple terms?

Mohammed Abouzaid (Arabic: محمد أبوزيد; born 1981) is a Moroccan mathematician working in symplectic topology. He is a professor at Stanford University.

Why does Mohammed Abouzaid 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 Mohammed Abouzaid?

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 Mohammed Abouzaid.