Draft:Gerald Reisner
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Gerald Reisner is an American mathematician born on September 5, 1945. He was ecucated at Brooklyn Technical High School in Brooklyn, NY, and at New York University. He received his PhD in Mathematics under the supervision of Prof. Melvin Hochster in 1974 at the University of Minnesota.
In his doctoral dissertation, Reisner did fundamental work on the properties of a ring, an algebraic object, associated over a given choice of base field with a finite simplicial complex, which gives a combinatorial description, not unique, of a geometric object. Reisner characterized when such rings, now called Stanley-Reisner rings, are Cohen-Macaulay, enabling Richard Stanley to prove the Upper Bound Conjecture in combinatorics for triangulations of spheres of all dimensions.
After receiving his doctorate, Reisner spent his career at Bell Laboratories doing applied mathematics in network queuing theory and developing telephone and data communications systems.