SearcharxivSearch

arXiv · 1610.02250

Murray A. Marshall [24.3.1940 - 1.05.2015]: A brief mathematical obituary

Abstract

On April 22 2015, Murray Marshall was invited by Igor Klep and Victor Vinnikov to talk in the special session on "Operator Theory, Real Algebraic Geometry, and Moment Problems" that they co-organised for IWOTA 2015 in Tbilisi, Georgia, July 6--10. This invitation to an IWOTA edition was considered by the organisers as long overdue, given Marshall's important contributions to Real Algebraic Geometry in general, and to the multi-dimensional Moment Problem in particular. Marshall declined on April 27th writing: "Dear Victor, Thanks very much for the invitation. I am sorry but I must decline. The reason is that I don't enjoy traveling as much as I used to. North America or Europe is about the maximum distance I am willing to dealwith. I hope you are well. Murray." This response startled us, as Marshall has always been a grand traveler when it came to mathematics. Our fears were alas confirmed; Marshall passed away just a few days later. In July, I held a talk at that session myself on joint work with Marshall, and was asked by the editors of the proceedings volume to write this mathematical obituary.

Explore related subjects

Keep this discovery

BibTeXRIS

Salma Kuhlmann. 2016-10-07. Murray A. Marshall [24.3.1940 - 1.05.2015]: A brief mathematical obituary. https://arxiv.org/abs/1610.02250

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Perspectives on the unit distance problem

This is a survey on an old open problem in combinatorics called the unit distance problem, and the field of mathematics around it, called incidence geometry. What do we know about the problem? Why is it difficult? How does it connect with other parts of math?

math.HO

A Categorical Approach to Euclidean Ratios and Proportions

A categorial approach to the non-metric geometry in Books V and VI of Euclid's \textit{Elements} is presented. Specifically, we introduce a diagrammatic syntax that can be overlaid immediately on his diagrams, thus bridging intuitive presentation with fidelity to Euclid's arguments. This syntax makes complicated definitions like V.5, and indeed the arguments throughout books V and VI, including arguments about similar figures, intuitively clear. We show in an appendix that this syntax can be used to solve a puzzle regarding ancient mathematics. Finally, we offer evidence that this approach to Euclidean diagrams is rooted in the Aristotelian tradition itself, and that a similar syntax was utilized, in antiquity, for related questions of numeric and proportions. Thus the syntax is plausibly faithful to Euclid's own thought-world, and not an outside-imposition.

math.HO

Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948

OpenAI recently announced a proof of the Cycle Double Cover (CDC) Conjecture. Most media reports have characterized it as a 50-year-old open problem. In reality, according to a 1987 letter from Tutte to Fleischner, the Cycle Double Cover Problem has been open for at least 80 years. Two early results regarding the CDC conjecture were established in one of Tutte's 1949 publications.

math.HO