Aaron Heap

Department Chair, Associate Professor, and Roemer Supported Professor
South Hall 323
585-245-5385
heap@geneseo.edu

Aaron has been a member of the »Ê¹Ú²©²ÊÍøÖ· 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." 
- Stan Gudder

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Math Links

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Aaron Heap

Curriculum Vitae

Official CV

  • (Updated January 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: »Ê¹Ú²©²ÊÍøÖ·, 2013-Present
    • Assistant Professor: »Ê¹Ú²©²ÊÍøÖ·, 2007-2013
    • Visiting Assistant Professor: University of Rochester, 2004-2007
    • Graduate Instructor and Teaching Assistant: Rice University, 1998-2004