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  The Annual William Marshall Bullitt Lecture 
2014 BULLITT LECTURE
Using Mathematics to Understand Territories

Dr. Mark Lewis
Centre for Mathematical Biology
University of Alberta


Thursday, March 20th, 2014
6:00pm -7:00pm
Middleton Auditorium
Strickler 101
University of Louisville

Abstract: Mathematical models can help us understand the formation of complex spatial patterns, including the formation of territories.  In wolves and coyotes scent marks provide important cues regarding the use of space.  In this talk I will show how biologically-based mechanistic rules can be put into a mathematical model which predicts the process of territorial formation as individuals create and respond to scent marks.  The model predicts complex spatial patterns which are seen in nature, such stable "buffer zones" between territories which act as refuges for prey such as deer.  The mathematical work is supported by detailed radio-tracking studies of animals.  I will also employ the approach of game theory, where each pack attempts to maximize its fitness by increasing intake of prey (deer) and while decreasing interactions with hostile neighboring packs.  Here the predictions are compared with radio-tracking data for wolves and coyotes.  Finally I will show how a version of the territorial model has been applied to human populations in understanding spatial patterns arising from conflict between urban gangs.


FREE AND OPEN TO THE PUBLIC
for more information, contact math@louisville.edu or call (502) 852-6826
 
  Bulllitt 2014 Poster
(click on image to download PDF of the poster)
 

There is also a Bullitt Lecture in Physics.


The Mathematics Department’s Bullitt Lecture is a free, public lecture that has brought to Louisville each year, beginning in 1993, a distinguished mathematician to speak to 200-500 audience members about important and cutting-edge mathematics. Ronald Graham, former Chief Scientist at AT&T, and Indiana University College Professor of Cognitive Science and Computer Science, author and computer scientist Douglas R. Hofstadter  (author of Gödel, Escher, Bach) are former Bullitt Lecturers. The emphasis has been drawing people from the outside academia.  Talented high school students, area professionals, and other parties interested in the impact and excitement that mathematics has generated, especially in the last decade, have attended the Bullitt Lecture in surprisingly large numbers.

The Lecture is endowed through a grant from the family of William Marshall Bullitt, the Solicitor General of the United Stated under President William Howard Taft.  The first Bullitt lecture was given by Jerry King of Lehigh University (a native Kentuckian, UK Ph.D) on the subject of his then popular book "The Art of Mathematics," Plenum Press, NY and London, 1992.  It took place on April 5, 1993.
 
The second lecture was given by Professor Fred Rickey, one of the leading American historians of mathematics who was  then at Bowling Green University (and is now at the United States Military Academy at West Point), on the then popular topic of the history of Fermat's Last Theorem. Recall that Andrew Wiles had announced his proof of FLT in the summer of 1993.  Professor Rickey's talk took place in April of 1994.
 
Paul Humke gave the third lecture in 1995 on visualizing the 4th dimension.  After 1995, the Bullitt Lecture was advertised via posters shown below.

 Click on photo to download PDF file containing the poster.
(some of these files are large, > 1mb)


Bullitt 1996 image
1996

Bullitt 1997 image
1997
Bullitt 1999 image
1999
Bullitt 2000 image
2000
Bulllitt 2001 image
2001
Bullitt 2002 image
2002
Bullitt 2003 image
2003
Bullitt 2004 image
2004
2005
Bullitt 2006 Poster
2006
  Bullitt Lecture 2007
2007
Bullitt 2009 Thumbnail
          2008
2009
Bullitt2010
2010
Bullitt Poster 2011  2011
2012 Thumbnail Bullitt
2012
Bullitt 2013 Thumbnail
2013





William Marshall Bullitt, the Solicitor General of the United Stated under President William Howard Taft, was a Louisville native and an 1894 Princeton graduate.  He received his law degree from the University of Louisville. Bullitt is descended from one of the most prominent Kentucky families- five Kentucky counties bear the name of his direct ancestors. 

Bullitt was an authority on insurance law and wrote a number of important pamphlets in actuarial mathematics.  He was a personal friend of a number of important figures in twentieth-century mathematics, including G.D. Birkhoff, G.H. Hardy, and Albert Einstein. 

The Bullitt family had already compiled collections of rare books in history, horticulture, and other field when William Marshall Bullitt decided to pursue acquisitions of rare mathematical editions. Bullitt began by seeking the aid of mathematicians and historians of mathematics in determining a list of ``25 Greatest Mathematicians (Excluding all Living Mathematicians)”.  Prior to World War II, Bullitt and his wife traveled extensively in Europe; his cousin, William Christian Bullitt, was the American Ambassador to France at the time.  Bullitt put together a magnificent collection of rare and significant mathematics.  “Strangely enough, anyone wishing to write about Galois in Paris would do well to journey to Louisville, Kentucky,” wrote Leopold Infeld, author of Whom the Gods Love, a fictionalized biography of the celebrated French mathematician Evariste Galois.  A well-written account of Bullitt and his efforts to obtain rare mathematics manuscripts is given in ``William Marshall Bullitt and His Amazing Mathematical Collection”, by Richard M. Davitt (Professor of Mathematics at the University of Louisville), in The Mathematical Intelligencer, Vol. 11, No. 4, 1989.

In 1958, Bullitt’s wife gave the entire mathematics collection and related correspondence to the University of Louisville, where today it is the William Marshall Bullitt Mathematical Collection. Visitors from around the world visit the Collection.  Members of the Bullitt family are frequent Lecture attendees. The mathematics community—indeed, the entire Louisville community—gratefully and gladly acknowledges the debt to the family for the inestimable contribution
 
 

    University of Louisville, Department of Mathematics. Copyright © 2012. All rights reserved.