mathematics

Gábor Korchmáros

Gábor Korchmáros 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 Gábor Korchmáros rather than just read about it. In short: Gábor Korchmáros (born 1948) is a Hungarian mathematician, who works on finite geometry. Biography Korchmáros received in 1972 from the University of Budapest a Ph.D. in mathematics.

Key takeaways

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

Reference excerpt

Gábor Korchmáros (born 1948) is a Hungarian mathematician, who works on finite geometry.

Biography Korchmáros received in 1972 from the University of Budapest a Ph.D. in mathematics. In 1973 on a postdoc grant, he studied at the Research Center of the Accademia dei Lincei in Rome. In 1976 he was awarded the Grunwald Prize of the János Bolyai Mathematical Society. In 1980 he received the Candidate of Sciences degree and in 2000 the Doctor of Sciences degree from the János Bolyai Mathematical Society. In 1987 he became a professor at the Università della Basilicata. He was a visiting professor at several universities, including the University of Sussex, the University of Delaware and the University of Szeged (Hungary). His research involves the theory of ovals and their higher-dimensional generalizations over finite fields. One topic of his research is the collineation groups of ovals and embedding problems for arcs in ovals; these investigations have applications in coding theory and are related to the Hasse-Weil bound for elliptic curves. He also works on algebraic curves over finite fields and their automorphism groups, translation planes, finite Möbius planes, finite Minkowski planes, and elliptic curve cryptography. In the late 1970s he worked with Beniamino Segre. He was awarded the Euler Medal of ICA in 2008, and in 2014 the Doctor Honoris Casusa degree at the University of Szeged.

Selected works 1979: Questioni relative ad ovali astratte 1998: (as editor with E. Ballico) Recent Progress in Geometry, Circolo Matematico di Palermo 2008: (with J. W. P. Hirschfeld & F. Torres), Algebraic Curves over a Finite Field, Princeton University Press, Google books link 2010: (with M. Giulietti) Giulietti, M.; Korchmáros, G. (2010). "Algebraic curves with a large non-tame automorphism group fixing no point". Transactions of the American Mathematical Society. 362 (11): 5983–6001. doi:10.1090/s0002-9947-2010-05025-1. MR 2661505. 2019: (with M. Giulietti) Giulietti, Massimo; Korchmáros, Gábor (2019). "Algebraic curves with many automorphisms". Advances in Mathematics. 349: 162–211. arXiv:1702.08812. doi:10.1016/j.aim.2019.04.003. MR 2661505. S2CID 119269948.

References

External links Official website Korchmáros, Gábor at zbMATH

Worked examples

Example 1 — a first encounter with Gábor Korchmáros

Start with the simplest possible case. Write down what Gábor Korchmáros 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 Gábor Korchmáros 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 Gábor Korchmáros 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 Gábor Korchmáros

In research: Gábor Korchmáros 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 Gábor Korchmáros 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: Gábor Korchmáros is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century Hungarian mathematicians, 21st-century Hungarian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Gábor Korchmáros 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 Gábor Korchmáros in 20 minutes

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Close the page and write down what Gábor Korchmáros means in your own words.
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Frequently asked questions

What is Gábor Korchmáros in simple terms?

Gábor Korchmáros (born 1948) is a Hungarian mathematician, who works on finite geometry. Biography Korchmáros received in 1972 from the University of Budapest a Ph.D. in mathematics.

Why does Gábor Korchmáros 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 Gábor Korchmáros?

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 Gábor Korchmáros.