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Yury Ionin:
Rewriting combinatorics design theory
Mathematics
Mathematics professor Yury Ionin is known
globally for his research in combinatorics
design theory. In the late 1990s, Ionin used
linear algebra techniques to construct new
infinite families of designs, which resulted
in the rewriting of design theory and
publication of a book providing a unified
exposition of the theory of symmetric
design. Ionin’s Combinatorics of Symmetric
Designs (with M. S. Shrikhande) was
published by Cambridge University Press in
2006.
The prototype:
Combinatorics is the branch of mathematics
concerned with the selection, arrangement,
and combination of objects chosen from a
finite set. Ionin’s prototype is a design
consisting of seven nodes and seven lines
connecting the nodes so that every line has
the same number of nodes. Initially
developed by statisticians looking at the
properties of different types of fertilizer
in the 1930s, it has been used by
mathematicians for a number of applications.
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