Michael Artin is a renowned mathematician who received his PhD from Harvard in 1960. He is known for his pioneering work in non-commutative algebra and algebraic geometry. Some of his accomplishments include being a professor at MIT, serving as the president of the American Mathematical Society, and receiving numerous honors like the Wolf Prize in Mathematics. Artin made important contributions to the theory of non-commutative rings and helped develop non-commutative algebraic geometry.

1. Michael ArtinNon-Commutative Algebra
By
Nicole Allen

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

3. 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.

4. 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.

5. • 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.

6. • 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.

7. 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.

8. 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.

9. 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.