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Johannes Buchmann

Johannes Buchmann 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 Johannes Buchmann rather than just read about it. In short: Johannes Alfred Buchmann (born November 20, 1953, in Cologne) is a German computer scientist, mathematician and professor emeritus at the department of computer science of the Technische Universität Darmstadt. He is known for his research in algorithmic number theory, algebra, post-quantum cryptography and IT security.

Johannes Buchmann — main illustration
Johannes Buchmann — illustration

Key takeaways

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

Reference excerpt

Johannes Alfred Buchmann (born November 20, 1953, in Cologne) is a German computer scientist, mathematician and professor emeritus at the department of computer science of the Technische Universität Darmstadt. He is known for his research in algorithmic number theory, algebra, post-quantum cryptography and IT security. In 1993, he received the Gottfried Wilhelm Leibniz Prize together with Claus Peter Schnorr for his work in algorithmic number theory and cryptography. Buchmann also developed the stateful hash-based signature scheme XMSS, the first future-proof secure and practical signature scheme with minimal security requirements, which was declared the first international standard for post-quantum signature schemes in 2018. In addition, he further developed IT security research in Germany. His efforts led to the creation of ATHENE, the largest research center for IT security in Europe. For this he received the Konrad Zuse Medal for Services to Computer Science of the Gesellschaft für Informatik (GI) in 2017.

Life Johannes Buchmann studied mathematics, physics, pedagogy and philosophy at the University of Cologne from 1974 to 1979 after graduating from high school in 1972 and completing his military service. After passing the first state examination for teaching at grammar schools in 1979, he taught mathematics at a Cologne secondary school from 1980 to 1983 while at the same time working as a research assistant at the university. In 1982 he did his doctorate at the university under the supervision of Hans-Joachim Stender. In 1984 he passed the second state examination. In 1985/86 he was with Hans Zassenhaus at Ohio State University on a scholarship from the Alexander von Humboldt Foundation. From 1986 to 1988 he was research assistant of Michael Pohst at the University of Düsseldorf, where he habilitated in 1988. Then he worked as professor of computer science at Saarland University. In 1996, he then was professor of computer science and mathematics at the Technische Universität Darmstadt. He retired in 2019. From 2001 to 2007, he was vice president for Research at the Technische Universität Darmstadt. Since 2004, he has been chairman of the Board of the Competence Center for Applied Security (CAST), the largest network for cyber security in German-speaking countries. From 2011 to 2013, Buchmann headed the project Internet Privacy - A Culture of Privacy and Trust on the Internet of the German Academy of Science and Engineering. He was founding director of the Center for Advanced Security Research Darmstadt (CASED) and held this position from 2008 to 2011. From 2011 to 2016, he was a member of the board of directors of the European Center for Security and Privacy by Design (EC SPRIDE). From 2016 to 2018, Buchmann was Vice Director of the Center for Research in Security and Privacy (CRISP), the largest research institute for IT security in Europe. From 2014 to 2019, he was spokesman of the Collaborative Research Center CROSSING and from 2015 to 2019 spokesman of the profile area CYSEC of TU Darmstadt. He gave his farewell lecture on October 24, 2019. From 2017 to 2018, Johannes Buchmann trained as an MBSR (Mindfulness-Based Stress Reduction) teacher at the Institute for Mindfulness. Since then he has been working as a certified MBSR teacher. Buchmann is married and has two sons.

Work Buchmann's achievements include scientific essays on algorithms in algebraic number theory, the construction of new cryptographic methods and the use of cryptographic methods in practice. Due to his collaboration with Kálmán Győry he has the Erdős number 2. Buchmann dealt with algorithms in algebraic number theory and their application in cryptography. In 1988, he proposed with Hugh C. Williams a cryptographic system based on the discrete logarithmic problem in the ideal class group of imaginary-square number fields (which, according to Carl Friedrich Gauss, is related to the theory of binary-square forms), which triggered further developments in cryptography with number fields. Since 1996, Buchmann has been working intensively on the topic of public key infrastructures, for which he published the book Introduction to Public Key Infrastructures together with Evangelos Karatsiolis and Alexander Wiesmaier in 2013. Buchmann has been working on post-quantum cryptography since 2003 and published a book of the same name together with Daniel J. Bernstein and Erik Dahmen in 2009. Buchmann is also the author of the textbook Introduction to Cryptography, which has been translated into seven languages. In Saarbrücken, the research work of Buchmann concentrated on the theoretical cryptography and cryptanalysis of number theory-based public-key methods like RSA. During his time in Saarbrücken, Buchmann also founded the German Research Foundations first graduate school for computer science and was able to establish research in cryptography and IT security as an integral part of the university. In 2018, the stateful hash-based signature scheme XMSS developed by a team of researchers under the direction of Buchmann became the first international standard for post-quantum signature schemes. XMSS is the first future-proof secure and practical signature scheme with minimal security requirements. The work began in 2003.

Awards 1993 Gottfried Wilhelm Leibniz Prize (together with Claus-Peter Schnorr), for his work in algorithmic number theory and cryptography 2002 Member of the Academy of Sciences and Literature Mainz 2003 Innovation Award of the State of Hesse 2006 Member of the Berlin-Brandenburg Academy of Sciences and Humanities 2006 Honorary Doctorate of the University of Debrecen, Hungary 2008 Member of the German Academy of Science and Engineering 2011 Member of the German Academy of Natural Scientists Leopoldina 2017 Konrad-Zuse-Medal for Services to Computer Science of the Gesellschaft für Informatik (GI)

… excerpt ends here. Continue reading the full article.

Illustrations

Johannes Buchmann: Johannes Buchmann in 2016
Johannes Buchmann in 2016

Worked examples

Example 1 — a first encounter with Johannes Buchmann

Start with the simplest possible case. Write down what Johannes Buchmann 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 Johannes Buchmann 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 Johannes Buchmann 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 Johannes Buchmann

In research
Johannes Buchmann 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 Johannes Buchmann 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
Johannes Buchmann is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century German mathematicians, 21st-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Johannes Buchmann 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 Johannes Buchmann in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Johannes Buchmann means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Johannes Buchmann out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Johannes Buchmann in simple terms?

Johannes Alfred Buchmann (born November 20, 1953, in Cologne) is a German computer scientist, mathematician and professor emeritus at the department of computer science of the Technische Universität Darmstadt. He is known for his research in algorithmic number theory, algebra, post-quantum cryptogr…

Why does Johannes Buchmann 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 Johannes Buchmann?

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 Johannes Buchmann.

Tags

  • 1953 births
  • 20th-century German mathematicians
  • 21st-century German mathematicians
  • Academic staff of Technische Universität Darmstadt
  • German computer scientists
  • German cryptographers
  • Gottfried Wilhelm Leibniz Prize winners
  • Living people
  • Members of German Academy of Science and Engineering Acatech
  • Scientists from Cologne

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