Michael ArtinNon-Commutative Algebra

By

Nicole Allen

Michael Artin

• Born June 28, 1934• Hamburg, Germany and lived in Indiana• Natalia Nauovna Jasny and Emil Artin were his parents.

Artin’s Education

• Undergraduate Studies (Princeton University)

He received an A.B. in 1955.

• Harvard University

He received a PH.D in 1960

Dr. Oscar Aariski was his doctoral advisor in 1960.

Accomplishments

• Artin was a Lecturer at Havard as Benjamin Peirce Lecturer in 1960-63

• Joined the MIT mathematics faculty in 1963• He became a professor in 1966• He was appointed Norbeer Wiener Professor from 1988-

93• He served as Chair of the Undergraduate Committee from

1994-97 and 1997-98.

• Also served as President of the American Mathematical Society form 1990-92

• He received Honorary Doctoral degrees rom the University of Antwerp and University of Hamburg.

• He was selected for Undergraduate Teaching Prize and the Educational and Graduate Advising Award.

• Professor Artin is an algebraic geometer.• He is concentrating on non-commutative algebra.• He the early 1960’s he spent time in France, contributing

to the SGA4 volumes.• He worked on problems that let to approximation

theorem, in local algebra.

Honors

• 2005 Honored with the Harvard Graduate School of Arts & Sciences Centennial Medal.

• Member of the National academy of Sciences Fellow• Fellow of the American Academy of Arts & Sciences• Fellow of the American Association for the Advance

applied Mathematics.• 2013 he received the Wolf Prize in Mathematics for (his

fundamental contributions to algebraic geometry and non commutative geometry.

Non –Commutative Algebraic Geometry

• Branch of mathematics and study of the geometric properties of formal duals of non-commutative algebraic objects, such as rings as well as geometric objects derived them.

• The non-commutative ring generalizes are regular functions on a commutative scheme. Function on usual spaces in the traditional algebraic geometry multiply by points.

Conclusion

• I find Professor Michael Artin research on non commutative algebraic geometry quite interesting and definitely believe that his approach/ research will be a very significant resources for a History of Math Courses years to come. His techniques helps to us to study objects in commutative algebraic geometry and this is a great value to the field of mathematics.