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'''John Hamal Hubbard''' was born on October 6 or 7, 1945 (the actual date is unknown). He is an American [[mathematician]] who is currently a professor at [[Cornell University]] and the [[Université de Provence]].

== Expertise ==

He is well known for the mathematical contributions he made with [[Adrien Douady]] in the field of [[complex dynamics]], including a study of the [[Mandelbrot set]].

One of their most important results is that the [[Mandelbrot set]] is [[connected space|connected]].

== Background ==

Hubbard graduated with a [[Doctorat d'État]] from [[Universite de Paris|Université de Paris-Sud]] in 1973 under the direction of [[Adrien Douady]]; his thesis was entitled ''Sur Les Sections Analytiques de La Courbe Universelle de Teichmüller'' and was published by the [[American Mathematical Society]]. Hubbard has a variety of mathematical interests ranging from [[complex analysis]] to [[differential geometry]].

He has written many influential papers on [[complex dynamics]], and he has written several books. 

== Legacy ==

In 2006, he completed the first volume of a series devoted to [[Teichmüller space|Teichmüller theory]] and applications to four revolutionary theorems of  [[William Thurston]].

Hubbard is a former student of [[Harvard University]]'s infamous [[Math 55]], where he famously struggled initially because he "just didn't know proofs," a somewhat shocking fact considering his eventual mathematical successes.

He later returned to [[Harvard]] to teach that same class. However, Hubbard garnered a rather profound distaste for [[Math 55]]'s method of teaching proofs largely centered on [[algebra]]ic [[mathematical induction|induction]].

In response, he wrote a book entitled ''Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach'', on which his wife Barbara is listed as a co-author.

At [[Cornell University]], he routinely teaches Math 2230 & 2240, classes specifically structured around this same text. 

When asked how well these classes correspond to [[Math 55]], he responded: 

<blockquote>"This class may indeed be somewhat easier than [[Math 55]], albeit perhaps covering slightly more material."</blockquote>

Hubbard is known throughout the [[Cornell]] community for his very relaxed style of teaching.

== See also ==

* [[Chaos theory ]]
* [[Complex analysis]]
* [[Complex dynamics]]
* [[Connected space]]
* [[Differential geometry]]
* [[Adrien Douady|Douady, Adrien]]
* [[Mandelbrot set]]
* [[Mathematician]]
* [[Mathematics]]
* [[Newton's method]]

== External links ==

* [https://en.wikipedia.org/wiki/John_H._Hubbard John H. Hubbard] @ Wikipedia
* [http://www.math.cornell.edu/People/Faculty/hubbard.html John H. Hubbard's profile at Cornell]