mathematics

Soheyla Feyzbakhsh

Soheyla Feyzbakhsh 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 Soheyla Feyzbakhsh rather than just read about it. In short: Soheyla Feyzbakhsh (Persian: سهیلا فیض‌بخش) is a mathematician whose research connects algebraic geometry to string theory in mathematical physics. Originally from Iran, she works in the UK as Royal Society university research fellow and senior lecturer in mathematics at Imperial College London.

Key takeaways

Soheyla Feyzbakhsh belongs to mathematics; place it in that map before memorising details.
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Connect Soheyla Feyzbakhsh to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Soheyla Feyzbakhsh from memory before moving on to harder problems.

Reference excerpt

Soheyla Feyzbakhsh (Persian: سهیلا فیض‌بخش) is a mathematician whose research connects algebraic geometry to string theory in mathematical physics. Originally from Iran, she works in the UK as Royal Society university research fellow and senior lecturer in mathematics at Imperial College London. She shared the American Mathematical Society's 2025 Oswald Veblen Prize in Geometry with her collaborator Richard Thomas.

Research contributions Feyzbakhsh research follows a conjecture of Japanese mathematician Shigeru Mukai, according to which any K3 surface can be uniquely determined by a single curve within it. By bringing in notions from string theory, involving the stability of curves with respect to perturbations, she was able to "complete and generalize Mukai's program", and by relating the invariants of the surface to the invariants of the curve within it, she showed how to control the higher-rank Donaldson–Thomas invariants of a surface by the Gromov–Witten invariants of the curve, and to control those in turn by the rank-zero Donaldson–Thomas invariants.

Education and career Feyzbakhsh studied mathematics and electrical engineering as an undergraduate at Ferdowsi University of Mashhad in Iran, earning a double baccalaureate in 2013. After continuing her studies in a diploma program at the International Centre for Theoretical Physics in Trieste, Italy, she went to the University of Edinburgh in Scotland for doctoral study in pure mathematics. She completed her Ph.D. in 2018 with the dissertation Bridgeland stability conditions, stability of the restricted bundle, Brill-Noether theory and Mukai's program supervised by Arend Bayer. After postdoctoral research as a Chapman Fellow and EPSRC Postdoctoral Fellow at Imperial College London from 2018 to 2023, and as a Marie-Curie Fellow at Paris-Saclay University from 2021 to 2022, she became a senior lecturer and Royal Society university research fellow at Imperial College in 2024.

Recognition Feyzbakhsh was a 2023 recipient of the Whitehead Prize of the London Mathematical Society, "for her spectacular applications of wall-crossing techniques to questions in classical and enumerative algebraic geometry". She was a 2024 recipient of the Adams Prize of the University of Cambridge, and of the Boris Dubrovin medal of the International School for Advanced Studies in Trieste, "for her impressive results in algebraic geometry, with relevant implications for mathematical physics, in particular string theory". For 2025 she was awarded the Oswald Veblen Prize in Geometry, shared with Richard Thomas.

Selected publications "Mukai's program (reconstructing a K3 surface from a curve) via wall-crossing", Journal für die reine und angewandte Mathematik (2019) announced in 2017 Veblen Prize papers: Jointly with Richard Thomas: "Curve counting and S-duality", Épijournal de Géométrie Algébrique (2023) announced in 2020 Jointly with Richard Thomas: "Rank r DT theory from rank 0", Duke Mathematical Journal (2024) announced in 2021 Jointly with Richard Thomas: "Rank r DT theory from rank 1", Journal of the American Mathematical Society (2022) announced in 2021

References

External links Home page

Worked examples

Example 1 — a first encounter with Soheyla Feyzbakhsh

Start with the simplest possible case. Write down what Soheyla Feyzbakhsh 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 Soheyla Feyzbakhsh 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 Soheyla Feyzbakhsh 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 Soheyla Feyzbakhsh

In research: Soheyla Feyzbakhsh 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 Soheyla Feyzbakhsh 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: Soheyla Feyzbakhsh is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century British mathematicians, 21st-century British women mathematicians, 21st-century Iranian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Soheyla Feyzbakhsh 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 Soheyla Feyzbakhsh in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Soheyla Feyzbakhsh means in your own words.
Compare your version with the excerpt and mark what you missed.
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Frequently asked questions

What is Soheyla Feyzbakhsh in simple terms?

Why does Soheyla Feyzbakhsh 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 Soheyla Feyzbakhsh?

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 Soheyla Feyzbakhsh.