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Department of Mathematics

Aaron Heap

Professor & Chair

South Hall 323

(585)245-5385

heap@geneseo.edu

Aaron has been a member of the ºÚÁÏ´«ËÍÃÅ 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

Knot Mosaic Space –ÌýProofSpace

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College Links

Ìý–ÌýCollege Calendar – Ìý–

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: ºÚÁÏ´«ËÍÃÅ, 2013-Present
  • Assistant Professor: ºÚÁÏ´«ËÍÃÅ, 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:

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