Dr. Spencer J. Roemer Supported Professor, Associate Professor
South Hall 330C
585-245-5391
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.
"The essence of mathematics is not to make simple things complicated, but to make complicated things simple." - Stan Gudder
Links
ProofSpace - College Course List
College Calendar - Undergraduate Bulletin
Courses Taught - Personal Web Page
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Curriculum Vitae
Official CV
Click here to view my complete CV. (Updated April 2022)
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
- 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)
- Space-Efficient Prime Knot 7-Mosaics, (with N. LaCourt),
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: 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
List of courses I have taught:
- INTD 288 - Introduction to 3D Modeling and Printing
- Math 221 - Calculus I
- Math 222 - Calculus II
- Math 223 - Calculus III
- Math 233 - Linear Algebra I
- Math 239 - Introduction to Mathematical Proof
- Math 326 - Differential Equations
- Math 330 - Abstract Algebra
- Math 333 - Linear Algebra II
- Math 338 - Topology
- Math 348 - Oral Presentation and Research Seminar
- Math 380 - Low-Dimensional Topology 2018
- Math 380 - Low-Dimensional Topology 2009
- Math 380 - Algebraic Topology
- Math 388 - Honors Linear Algebra
- Math 388 - Tied up in Knots