Paul Becker, Ph.D.

Paul Becker
Department Chair, Mathematics
Associate Professor, Mathematics
Office Phone
Office Location
85 Benson
PENN STATE BEHREND
1 PRISCHAK BUILDING
ERIE PA 16563
Biography

Paul Becker received B.S. and M.S. degrees in mathematics from Michigan State University. After several years of teaching at Saginaw Valley State University (Saginaw MI), and some study in Germany, he completed a Ph.D. at Central Michigan University. He is currently an associate professor of mathematics at Beherend College, where he teaches abstract algebra, combinatorics, and related topics.

His hobbies include operating a small blueberry farm and kayaking the Great Lakes. His favorite quote is from his 4-year-old son Logan: “Daddy, you’re wrong, and Mommy can tell you why.”


Teaching Specialties

  • Combinatorics
  • Algebra and Number Theory

Research Interests

Paul’s research applies ideas from a variety of fields (including combinatorics, ring theory, number theory, and linear algebra) to digital communication and error-correcting codes. Aspects of his research are accessible to undergraduates, and he has published several papers with student co-authors.

 

 

 

 

 

Research Interests

Error-correcting codes; Combinatorial designs; Sporadic groups; History of mathematics; Group representations.

Publications

Build a Sporadic Group in Your Basement, American Mathematical Monthly - April (2nd Quarter/Spring), 2017

A Methodology for Constructing the Basis of a Putative (72, 36, 16) Extremal Code for a Given Automorphism Group, Congressus Numerantium - October (4th Quarter/Autumn), 2012

A Search for Solvable Weighing Matrices, Journal of Combinatorial Math and Combinatorial Computing - August, 2007

On Menon-Hadamard difference sets in groups of order 4p2, Congressus Numerantium 172 - December, 2005

Do Normal Subgroups Have Straight Tails?, American Mathematical Monthly - May, 2005

Investigation of Solvable (120, 35, 10) Different Sets, Journal of Combinatorial Designs - February, 2005

Investigation of Perfect Ternary Arrays PTA(60,25), Ontario Technical Report -- # CS - 03 - 10 Department of Computer Science - October (4th Quarter/Autumn), 2003

Investigation of Non-Abelian Difference Sets in Groups of Order 120 - May, 2000

Career Biographies of Recent Fields Medalists - 1996

Education

Ph D, Mathematics, Central Michigan University

Other, Discrete Mathematics, Technische Universitat Braunschweig

Other, Algebraic Combinatorics

MS, Mathematics, Michigan State University

BS, Mathematics, Michigan State University