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American Mathematical Society


Gennadi Henkin receives Bergman Prize

Gennadi Henkin has received the 2011 Stefan Bergman Prize for his fundamental contributions to theory of functions on complex manifolds, integral representations in several complex variables, and multidimensional Cauchy-Riemann equations. He is recognized as a leading scientific researcher with over 130 publications in various fields.

A revolution in knot theory

Mathematicians develop new methods to distinguish between knots, leading to the discovery of virtual knots that defy planar representation. These virtual knots give rise to a new branch of knot theory known as generalized knot theory, which emerges as a special case of classical knot theory.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateNov 10, 2011

Experimental mathematics

The article discusses how modern computer technology has expanded the ability to discover new mathematical results, enabling the exploration of complex patterns and relationships. Computer simulations have been used to explore various mathematical problems, including Giuga's Conjecture, providing empirical evidence in favor of its truth.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateOct 13, 2011

Proof by computer

New computer tools based on formal proof can provide nearly infallible proofs of important mathematical results. Formal proof assistants have become powerful enough to handle difficult proofs and explore mathematics independently.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateNov 6, 2008

Lost in America: Top math talent

A new study reveals that girls can excel in mathematics with proper nurturing, contrary to conventional wisdom. The study found that cultures valuing math education lead to a higher representation of female math whizzes in competitions like the International Mathematical Olympiad. In contrast, US culture discourages girls from pursuing...

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateOct 10, 2008

Where mathematics and astrophysics meet

Mathematicians Dmitry Khavinson and Genevra Neumann describe how their work on the Fundamental Theorem of Algebra led them to questions in astrophysics, specifically gravitational lensing. Their result resolves a conjecture of Sun Hong Rhie, establishing that the number of zeros of certain rational harmonic functions is 5n - 5.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateJun 5, 2008

A crystal that nature may have missed

A mathematical analysis of the diamond's microscopic structure reveals its special properties, including maximal symmetry and strong isotropic property. The K4 crystal, sharing these properties, has sparked curiosity about its potential existence in nature or synthesis.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateJan 3, 2008

Math plus cryptography equals drama and conflict

The intersection of mathematics and cryptography has significant implications for security and research, with mathematicians like Neal Koblitz contributing to the field. Koblitz's work highlights the challenges of 'provable security' in cryptography, as well as the influence of the National Security Agency on research.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateAug 7, 2007

Solving sudokus -- Coloring by numbers

Researchers use graph theory to analyze Sudoku puzzles, finding that at least 8 of the 9 numbers must appear as given entries for a puzzle to have only one solution. They also explore unsolved problems in graph theory and argue that the number of distinct Sudoku puzzles is around 5.5 billion.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateJun 8, 2007

Making sense of sensors

Researchers Vin de Silva and Robert Ghrist use homology theory to analyze sensor networks, providing global information about coverage areas and detecting intruders. The study offers insights into designing effective sensor networks for national security measures.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateDec 5, 2006

Better ways to cut a cake

Mathematicians Brams, Jones, and Klamler describe a new method for cutting a cake called SP (Surplus Procedure), which ensures both parties feel they get approximately 65% of what they want. The article discusses potential uses of this method in dispute resolution and land division, and highlights its strategy-proof nature.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateNov 6, 2006

Math prodigy wins $1,000 award

Michael Viscardi, an eighth-grade student, excelled in calculus and graduate-level mathematics courses at the University of California, San Diego. His exceptional performance has earned him a $1,000 award from the American Mathematical Society, and his research on function construction is set to be published.