William Brummond, Ph.D., FSA

Visiting Assistant Professor

  • Milwaukee WI UNITED STATES
  • Mathematics

Contact

Multimedia

Education, Licensure and Certification

Ph.D.

Mathematical and Computational Science

University of Missouri – Saint Louis

2019

M.A.

Mathematics

University of Missouri – Saint Louis

2015

B.S.

Business Administration

Drake University

1975

Areas of Expertise

Actuaries
Reinsurance
Mathematics
Actuarial Science
Insurance

Affiliations

  • Society of Actuaries : Fellow
  • American Academy of Actuaries : Member

Social

Event and Speaking Appearances

Opportunities in Reinsurance

Midwest Actuarial Student Conference  

Problem Solving with Financial Reinsurance

Society of Actuaries  

Universal Life Insurance Tax Reserves

Insurance Tax Conference  

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Selected Publications

Kirkman Systems that Attain the Upper Bound on the Minimum Block Sum, for Access Balancing in Distributed Storage

arXiv:1906.02157

2019

We study a class of combinatorial designs called Kirkman systems, and we show that infinitely many Kirkman systems are well-distributed in a precise sense. Steiner triple systems of order n can achieve a minimum block sum of n. Kirkman triple systems form parallel classes from the blocks of Steiner triple systems. We prove that there are an infinite number of Kirkman triple systems that have a minimum block sum of n. We expand this to quadruple systems.

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