The wonderful 
Mathematical Genealogy Project
lets one track mathematical ancestry (through PhD advisors). Below is 
one branch of my ancestry, with year and university of PhD if
available. (Where there were two advisors, 
I don't take the path through the advisor in parenthesis.)   
  
 
Boyle [University of Washington, 1983] - 
 Lind 
[Stanford University, 1973]- 
Ornstein [University of Chicago, 1957] - 
Kaplansky
[University of Chiago, 1941] - 
Saunders Mac Lane 
[Gottingen 1934] - 
Hermann Weyl  [Gottingen, 1908] (and I. Paul Bernays) - 
 
 Hilbert  [Konigsberg 1885] -
Lindemann [Nurnberg 1873] - 
Klein  [Bonn 1868] - 
Plucker [Marburg 1823] (and Lipschitz) - 
Gerling [Gottingen 1812] - 
 
Gauss  [Helmstedt 1799] - 
Pfaff [Gottingen 1786]
 - ...   
 
The next generation: 
 
 
My PhD students and their doctoral theses 
|  | Student | Thesis title | Year | 
|  | Danrun Huang | Flow equivalence of reducible shifts of finite type, generalized inverses over Banach algebras
 | 1992 (jointly directed with S. Goldberg )
 | 
|  | Nic Ormes | Strong orbit realization for minimal homeomorphisms | 1997 | 
|  | Sam Lightwood | An embedding theorem for a class of Z^2 shifts of finite type
 | 1998 | 
|  | Inhyeop Yi | Canonical symbolic dynamics for one-dimensional 
generalized solenoids
 | 2000 (jointly directed with J. Rosenberg)
 | 
|  | Ricardo Gomez | Finitary isomorphisms of Markov chains via positive K-theory
 | 2000 | 
|  | Angela Desai | Z^d symbolic dynamics: coding with an entropy inequality
 | 2006 | 
|  | Andrew Dykstra | Two equivalence relations in symbolic dynamics | 2007 | 
|  | Nicholas Long | Involutions of shifts of finite type: fixed point shifts, 
orbit quotients and the dimension representation
 | 2008 | 
|  | Kevin McGoff | Orders of accumulation of entropy and random 
subshifts of finite type
 | 2011 | 
|  | Sompong Chuysurichay | Positive rational strong shift equivalence 
and the mapping class group of a shift of 
finite type
 | 2011 | 
|  | Scott Schmieding | Strong shift equivalence, algebraic K-theory, and
    isolating zero-dimensional dynamics on manifolds | 2016 | 
|  | 
  Family Photos 
  
May 1992, University of Maryland 
 
 
 
 
 
Michael Brin and Mike Boyle with their first PhD students. 
Left to right: Fernando Garibay-Bonales, Michael Brin, Mike Boyle, 
Danrun Huang.
 
 
 
 
April 2000, University of Victoria: 
 
 
 
 
 
Left to right: Sam Lightwood, Ricardo Gomez, Nic Ormes, Danrun 
Huang, Mike Boyle, Doug Lind.
 
 
 
 
March 2004, University of Maryland. 
 
 
 

Left to right: 
 
FRONT ROW: Nic Ormes, Sam Lightwood, Angela Desai, Andy Dykstra; 
  
BACK ROW:  Inhyeop Yi, Mike Boyle, Danrun Huang.  
 
 
 
May 2008, University of Maryland:  
 
 
 
Nick Long graduates  
 
 
April 2011 Boylefest banquet, University of Maryland, 
with most of my PhD students 
 
 
 

 
Left to right: 
 
Ricardo Gomez, Andrew Dykstra, 
Nic Ormes, Sam Lightwood, Kevin McGoff, Mike Boyle, Nick Long, 
Brendan Berg, Danrun Huang. 
 
(Missing: Inhyeop Yi, Angela Desai, Sompong Chuysurichay.) 
  
And another take, with 
 Doug "Gramps" Lind  
 May 2016, University of Maryland,
  Mike Boyle and Scott Schmieding 
 
