Welcome to my webpage! 

Aaron Heap


Current Courses 
"The superior man is modest in his speech, but he exceeds in his actions." Unknown "It is only imperfection that complains of what is imperfect. The more perfect we are, the more gentle and quiet we become towards the defects of others." Joseph Addison "I am only one, but I am one. I cannot do everything, but I can do something. And I will not let what I cannot do interfere with what I can do." Edward Everett Hale 
Lowdimensional topology, mapping class groups, classical 3manifold topology, bordism theory, knot theory, and group theory
On the AndreadakisJohnson Filtration of the Automorphism Group of a Free Group, (with F. Cohen and A. Pettet), Journal of Algebra, Volume 329, Issue 1, March 2011, pp. 7291.
Bordism Invariants of the Mapping Class Group, Topology, Volume 45, Issue 5, September 2006, Pages 851886.
Bordism Invariants of the Mapping Class Group, Mathematics ArXiv Posting, (See publication in Topology for final version.)
Bordism Invariants of the Mapping Class Group, Thesis (Updated 5/20/2004)
Curriculum Vitae (Updated 8/10/2014)
 Math 221  Calculus I (Fall 2008, Fall 2010, Fall 2011, Fall 2012)
 Math 222  Calculus II (Spring 2009, Fall 2009)
 Math 223  Calculus III (Fall 2007, Spring 2011, Spring 2012, Spring 2013, Fall 2013, Spring 2014, Fall 2014, Spring 2015)
 Math 233  Elementary Linear Algebra (Fall 2007, Spring 2008, Spring 2010)
 Math 239  Introduction to Mathematical Proof (Spring 2012, Fall 2012, Spring 2014, Fall 2014, Spring 2015)
 Math 326  Differential Equations (Spring 2008, Fall 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Fall 2013)
 Math 330  Abstract Algebra (Fall 2011, Spring 2013, Fall 2014, Spring 2015)
 Math 333  Linear Algebra (Fall 2007)
 Math 338  Topology (Spring 2008, Fall 2012)
 Math 348  Oral Presentation and Research Seminar (Spring 2014)
 Math 380  LowDimensional Topology (Fall 2009)
 Math 380  Algebraic Topology (Spring 2014)
 Math 388  Honors Linear Algebra (Fall 2010)