Aaron Heap
Professor & Chair
South Hall 323
(585)245-5385
heap@geneseo.edu
Aaron has been a member of the Geneseo faculty since 2007. He received the Dr. Spencer J. Roemer Supported Professorship in 2019, and he was awarded the SUNY Chancellor’s Award for Excellence in Teaching in 2011.
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“The essence of mathematics is not to make simple things complicated, but to make complicated things simple.”Â
– Stan Gudder
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Math Links
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College Links
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Curriculum Vitae
Official CV
(Updated 2025)
Education
- B.S., Texas Christian University; 1998
- Ph.D., Rice University; 2004
Research Interests
Geometric and Algebraic Topology, including low-dimensional topology, mapping class groups, classical 3-manifold topology, bordism theory, and knot theory
Publications:
- ,
With co-authors D. Baldwin, J. Canning, G. Vinal;
Involve: A Journal of Mathematics, Volume 18, Issue 1, January 2025. - ,
With co-authors U. Donovan, R. Grossman, N. Laine, C. McDermott, M. Paone, D. Southcott;
Pi Mu Epsilon Journal of Mathematics, Volume 15, No. 9, Fall 2023. - ,
With co-author N. LaCourt;
Symmetry, Volume 12, Issue 4, April 2020. - ,
With co-author D. Knowles;
Involve: A Journal of Mathematics, Volume 12, Issue 5, May 2019. - ,
With co-author D. Knowles;
Journal of Knot Theory and Its Ramifications, Volume 27, Issue 6, May 2018. - ,
With co-authors F. Cohen and A. Pettet;
Journal of Algebra, Volume 329, Issue 1, March 2011, pp. 72-91. - ,
Topology, Volume 45, Issue 5, September 2006, Pages 851-886. - ,
PhD Thesis, Rice University (Completed 5/20/2004)
Honors and Awards:
- 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)
Employment
- Associate Professor: ºÚÁÏÍø, 2013-Present
- Assistant Professor: ºÚÁÏÍø, 2007-2013
- Visiting Assistant Professor: University of Rochester, 2004-2007
- Graduate Instructor and Teaching Assistant: Rice University, 1998-2004
List of courses I have taught:
- Math 348 – Oral Presentation and Research Seminar
- Math 380 – Low-Dimensional Topology 2009
- Math 388 – Tied up in Knots