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Aaron Heap

Office: South Hall 330C
Phone: (585) 245-5391
Fax: (585) 245-5128

E-mail: heapmath

Address: Department of Mathematics
SUNY Geneseo
1 College Circle
South Hall
Geneseo, NY 14454

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SUNY Geneseo
Department of Mathematics
Course Offerings at the College
Academic Calender

"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

Research Interests

Low-dimensional topology, mapping class groups, classical 3-manifold topology, bordism theory, knot theory, and group theory

Space-Efficient Knot Mosaics for Prime Knots with Mosaic Number 6, (with D. Knowles), Submitted for publication, 2018.
Tile number and space-efficient knot mosaics, (with D. Knowles), Journal of Knot Theory and Its Ramifications, Volume 27, Issue 6, May 2018.
On the Andreadakis-Johnson 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. 72-91.
Bordism Invariants of the Mapping Class Group, Topology, Volume 45, Issue 5, September 2006, Pages 851-886.
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