Aaron Heap

Click here to view my complete CV. (Updated April 2022)

• B.S., Texas Christian University; 1998
• Ph.D., Rice University; 2004

Geometric and Algebraic Topology, including low-dimensional topology, mapping class groups, classical 3-manifold topology, bordism theory, and knot theory

• Space-Efficient Prime Knot 7-Mosaics, (with N. LaCourt),
        Symmetry, Volume 12, Issue 4, April 2020.
• Space-Efficient Knot Mosaics for Prime Knots with Mosaic Number 6, (with D. Knowles),
        Involve: A Journal of Mathematics, Volume 12, Issue 5, May 2019.
• 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,
        Thesis (Completed 5/20/2004)

• Dr. Spencer J. Roemer Supported Professorship (2019-2022)
• Open SUNY Innovative Instruction Technology Grant (IITG, 2014-2015)
• Phi Eta Sigma Honorary Faculty Inductee (2013)
• SUNY Chancellor's Award for Excellence in Teaching (2010-2011)
• Univeristy of Rochester Undergraduate Professor of the Year (2004-2005)
• Clay Mathematics Institute Liftoff Fellow (2004)

• Associate Professor: SUNY Geneseo, 2013-Present
• Assistant Professor: SUNY Geneseo, 2007-2013
• Visiting Assistant Professor: University of Rochester, 2004-2007
• Graduate Instructor and Teaching Assistant: Rice University, 1998-2004