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'''Charles Hallam Brenner''' is an American mathematician who is the originator of forensic mathematics. His father Joel Lee Brenner was a professor of mathematics and his mother Frances Hallam Brenner was a city councillor and briefly mayor of Palo Alto, California. His uncle Charles Brenner, MD was a psychiatrist.
{{Also on Wikipedia|Brenner|Charles Brenner (mathematician)}}


Brenner received a B.S. from Stanford University in 1967, and a Ph.D. from the University of California, Los Angeles (UCLA) in 1984.
'''Charles Hallam Brenner''', the originator of forensic mathematics, was an APL implementer and continues to use APL, particularly for DNA analysis.


Brenner participated in the implementation of [[APL\360]] and [[APL\1130]], and implemented the [[transpose]] and [[rotate]] [[primitive functions]].
Brenner participated in the implementation of [[APL\360]] and [[APL\1130]]<ref>[[Larry Breed|Breed, Larry]]. [http://archive.vector.org.uk/art10001190 How We Got To APL\1130]. [[Vector journal]] 22:3, p.68. 2006-08.</ref>, and implemented the [[Transpose]] and [[Rotate]] [[primitive functions]] under the direction of [[Larry Breed]]. Later he implemented [[Boolean]] Transpose in [[STSC]] APL, and contracted for [[I.P. Sharp Associates]].<ref>[[Eugene McDonnell|McDonnell, Eugene]]. [http://archive.vector.org.uk/art10005630 Letter: DNA Analysis in APL – Charles Brenner]. [[Vector journal]] 17:3, p.112. 2000-09.</ref>


More recently, Brenner specializes in the use of mathematics in DNA analysis. His principal areas of interest and achievement in the mathematics of forensic DNA are kinship, rare haplotype matching, and DNA mixtures. In a couple of Y haplotype papers, most recently, he showed why Y haplotypes must be much rarer, and how much rarer, than their sample frequency in a reference population sample. Brenner’s Symbolic Kinship Program, which can for example assess the identification evidence based on DNA profiles from an anonymous body and an arbitrary set of presumed relatives, has been widely used in mass victim identification projects, including identifying about 1/3 of the identified World Trade Center bodies. His main product, DNA•VIEW is written in APL.
More recently, Brenner specializes in the use of mathematics in DNA analysis. His principal areas of interest and achievement in the mathematics of forensic DNA are kinship, rare haplotype matching, and DNA mixtures. In a couple of Y haplotype papers, most recently, he showed why Y haplotypes must be much rarer, and how much rarer, than their sample frequency in a reference population sample. Brenner’s Symbolic Kinship Program, which can for example assess the identification evidence based on DNA profiles from an anonymous body and an arbitrary set of presumed relatives, has been widely used in mass victim identification projects, including identifying about 1/3 of the identified World Trade Center bodies. His main product, DNA•VIEW is written in APL.


Brenner played a key role in the resolution of the Larry Hillblom inheritance case, resulting in four American children each receiving $50 million.  
== Publications ==
 
* [https://doi.org/10.1145/97808.97821 "ACORN: APL to C on real numbers"] at [[APL90]]. With [[Bob Bernecky|Robert Bernecky]], Stephen B. Jaffe, and George P. Moeckel.
* [http://archive.vector.org.uk/art10500300 "DNA identification technology and APL"] in [[Vector journal]]
 
=== Dyalog user meetings ===
 
* [[Dyalog '08]] 03: [https://dyalog.tv/Dyalog08/?v=mkz9qGq5cSk Snooping with APL]
* [[Dyalog '12]] I22: Crackpot files and Other Stories of Forensic Mathematics
* [[Dyalog '14]] I01: [https://dyalog.tv/Dyalog14/?v=oXlP3r6PzeE There's DNA everywhere – an opportunity for APL] ([https://www.dyalog.com/uploads/conference/dyalog14/presentations/I01_DNA_is_everywhere.pptx slides])
* [[Dyalog '16]] L10: [https://dyalog.tv/Dyalog16/?v=uIPdo2gffA8 The Joy of (Especially Dyalog) APL and Some Gripes]
* [[Dyalog '18]] U13: [https://dyalog.tv/Dyalog18/?v=rmyw3GQHoYk Simplicity can be Confusing – Understanding the Manly Chromosome partly through APL] ([https://www.dyalog.com/uploads/conference/dyalog18/presentations/U13_Simplicity_May_Be_Confusing.pdf slides])


== External links ==
== External links ==


* [[wikipedia:Charles_Brenner_(mathematician)|Wikipedia]]
* [http://dna-view.com/ DNA•VIEW website]
* [http://dna-view.com/ DNA•VIEW website]


{{APL community}}[[Category:People|Brenner]]
== References ==
 
<references />
 
{{APL community}}{{DEFAULTSORT:Brenner}}[[Category:People]][[Category:Implementers]]
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