Curriculum Vitae For Aaron M. Heap

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1 Curriculum Vitae For Aaron M. Heap CONTACT Phone: (585) Website: Address: Department of Mathematics South Hall 330C SUNY Geneseo Geneseo, NY EDUCATION RICE UNIVERSITY: Houston, TX, Doctor of Philosophy, Mathematics, May 2004; Thesis advisor: Tim Cochran TEXAS CHRISTIAN UNIVERSITY: Fort Worth, TX, Bachelor of Science, Mathematics, May 1998, Magna Cum Laude TEACHING 2013-Present Associate Professor SUNY Geneseo Geneseo, NY Assistant Professor SUNY Geneseo Geneseo, NY 2011 SUNY Chancellor s Award for Excellence in Teaching Courses Taught: Calculus I, Calculus II, Calculus III, Differential Equations, Introduction to Mathematical Proof, Elementary Linear Algebra, Linear Algebra, Honors Linear Algebra, Abstract Algebra, General Topology, Low-Dimensional Topology, Algebraic Topology, Oral Presentation and Research Seminar New Courses/Curricula Developed: 3D Printing, Mathematical Proofs, Algebraic Topology, Low-Dimensional Topology, Honors Mathematics I, II, and III Visiting Assistant Professor University of Rochester Rochester, NY University of Rochester Undergraduate Professor of the Year Graduate Student Teaching Asst. Rice University Houston, TX Graduate Student Instructor Rice University Houston, TX 1

2 DIRECTED STUDIES AND STUDENT RESEARCH PROJECTS Mosaic Knots, D. Knowles - Results presented at GREAT Day 2015 Spring D Printing Curriculum, J. Zomback and A. Tantillo Spring 2015 A Digital ProofSpace, Facilitating a Flipped Classroom for Mathematical Proofs, S. Uttamchandani - Results presented at: AMS/MAA Joint Mathematics Meeting, San Antonio, TX, January 2015 SUNY Conference on Instruction and Technology, Geneseo, NY, May 2015 Mathematical Manipulatives with 3D Printing, J. Ford Spring Results presented at MAA Mathfest, Portland, OR, August 2014 Mosaic Knots, D. Knowles Spring Results presented at 2014 Undergraduate Math Research Symposium, Macaulay Honors College, New York, NY, November 2014 Class of 2014 Statistical Survey, S. Dorney and A. Spring 2014 Introduction to Mathematical Cryptography, S. Uttamchandani, S. Clark, J. Ford Fall 2013 Adapting WeBWorK for Secondary Mathematics Education, T. Fisher Spring 2013 Where Topology Meets Chemistry, S. Schaefer Fall 2012 Mathematics Education Projects, E. Novak Fall 2012 Teaching Assistantship, R. Cook, S. Ackerman, E. Novak Fall 2012 Teaching Assistantship, R. Cook Spring 2012 Topics in Topology (Algebraic Topology and Geometric Algebra), M. Vaiana Spring 2012 Topics in Topology (Knot Theory and Fundamental Group), H. Miller Spring 2011 Game Theory, G. Henderson Spring 2010 Modeling with Differential Equations, M. Kotok Spring 2010 Graph and Tree Analysis, G. Henderson Fall 2009 Harmonic Motion Java Simulations, M. Kotok Spring 2009 Exploring the Jones Polynomial, N. Devin (Honors Thesis) Fall 2008-Spring 2009 Advanced Linear Algebra, C. Rogers Fall 2007 RESEARCH INTERESTS: Low-dimensional topology, mapping class groups, group theory, classical 3-manifold topology, knot theory, 3D printing, WeBWorK and online educational tools PAPERS and PUBLICATIONS: 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 Bordism invariants of the mapping class group, Topology 45, Issue 5 (2006), pp WORKS IN PROGRESS: ProofSpace: A Digital Introduction to Mathematical Proofs ( Adapting WeBWorK for Secondary Mathematics Education Tile and Edge Numbers of Mosaic Knots (with student D. Knowles) Bordism theories and the Torelli group I: Integral first homology (with B. Farb.) Bordism theories and the Torelli group II: Cohomology (with B. Farb.) Bordism invariants of homology cylinders Textbook on Differential Equations 2

3 RESEARCH CONTINUED OTHER WORKS: Introduction to WeBWorK (with Patrick Rault), organized and led workshop o AMTNYS Annual Fall Conference, Rochester, NY, October o MAA Seaway Section Fall Conference, Elmira College, Elmira, NY, October 2012 Online Homework Systems and Media Resources for Mathematics and Statistics, Focus Group, WH Freeman & Company, MAA Mathfest 2010, Pittsburgh, PA, August Effect of WeBWorK on Student Performance in Calculus II (with Chris Leary), MAA General Contributed Paper Session, AMS/MAA Joint Math Meetings, Washington, DC, January 2009 (presented by Chris Leary). TEXTBOOK REVIEWS: Differential Equations and Linear Algebra, Third Edition, Goode and Annin, 2013 Calculus, Jeff Holt, Calculus, Taalman, Brazfield, and Kohn, SUPPORT (Grants and Awards): Computing & Information Technology Faculty Scholarship, supporting the Spring 2015 SUNY Conference on Instruction and Technology Open SUNY Innovative Instruction Technology Grant (IITG) to fund A Digital 'ProofSpace,' Facilitating a Flipped Classroom for Mathematical Proofs, with a budget of $17,320. Dean Johnston Student Research Assistantship, to support a student Spring 2014 research assistant for Mathematical Manipulatives with 3D Printing. External grant, Adapting WeBWorK for Secondary Mathematics 2013 Education (submitted to the Institute of Educational Sciences.) SUNY Geneseo Proposal Writing Support Award Spring 2013 SUNY Geneseo Faculty Incentive Grant Spring 2013 Math Departmental Travel Grant 2012, 2013 SUNY Geneseo Faculty Travel Grant Fall 2012, Summer 2013 MAA WeBWorK Consultant Stipend (NSF funded) 2010-present Clay Mathematics Institute Liftoff Fellowship 2004 Research Assistant, Noncommutative Algebraic Phenomena in the Topology of Three- and Four-dimensional Spaces, National Science Foundation DMS Graduate Fellowship, Rice University Summer Research Assistantship, Rice University Research Experience for Undergraduates, Trinity University

4 HONORS AND MEMBERSHIPS Phi Eta Sigma Honorary Faculty Inductee Fall 2013 Student Athlete Faculty Appreciation Award Alexa Salzman (W. Softball) Spring 2013 Student Athlete Faculty Appreciation Award Marcus Hoy (M. Basketball) Spring 2013 Student Athlete Faculty Appreciation Award Emily Novak (W. Soccer) Fall 2012 SUNY Chancellor s Award for Excellence in Teaching 2011 Student Athlete Faculty Appreciation Award Regina Connelly (W. Tennis) Fall 2011 University of Rochester Undergraduate Professor of the Year Clay Mathematics Institute Liftoff Fellowship 2004 Graduate Fellowship, Rice University Phi Beta Kappa National Honor Society 1998-present Pi Mu Epsilon (Mathematical Honor Society) 1997-present American Mathematical Society 1998-present Mathematics Association of America 1996-present SELECTED CONFERENCES ATTENDED SUNY Conference on Instruction and Technology, Geneseo, NY May 2015 AMS/MAA Joint Mathematics Meeting, San Antonio, TX January 2015 MAA Mathfest 2013, Hartford, CT August 2013 MAA Seaway Section Meeting, Elmira College, Elmira, NY October 2012 WeBWorK Code Camp, University of Rochester, Rochester, NY June 2012 AMTNYS Annual Fall Conference, Riverside Convention Center, Rochester, NY October 2011 MAA Seaway Section Meeting, Nazareth College, Rochester, NY April 2011 MAA Mathfest 2010, Pittsburgh, PA August 2010 MAA WeBWorK Consultant Workshop, Pittsburgh, PA August 2010 Advances in Number Theory and Random Matrix Theory, University of Rochester June 2006 Texas Geometry and Topology Conference, Rice University October 2006 Torelli Workshop in Chicago, Chicago, IL August Manifolds and Knot Theory Conference, University of Texas, Austin May 2005 Braids, links, and mapping class groups, Columbia University March 2005 Submanifolds, Singular Varieties and Stratified Spaces, Courant Institute, NYU March 2005 BIRS Workshop, Knots and Their Manifold Stories, Banff, Canada May 2004 Texas Geometry and Topology Conference, Texas Christian University February 2004 AMS/MAA Joint Mathematics Meeting, Phoenix, AZ January 2004 Texas Geometry and Topology Conference, Rice University October 2003 Topology of Manifolds of Dimension 3 and 4, University of Texas, Austin Summer 2003 AMS/MAA Joint Mathematics Meeting, Baltimore, MD January 2003 Knots in Washington XV, George Washington University January 2003 Spring Topology and Dynamics Conference, University of Texas, Austin Spring 2002 Georgia Topology Conference, University of Georgia Summer 2001 AMS/MAA Joint Mathematics Meeting, New Orleans, LA January 2001 Texas Geometry and Topology Conference, Rice University October 2000 Texas Geometry and Topology Conference, Texas Christian University February

5 INVITED ADDRESSES, LECTURES, AND WORKSHOPS A Digital Proof-Space : Facilitating a Blended Classroom for Mathematical Proofs, SUNY Conference on Instruction and Technology, Geneseo, NY, May 2015 (with Suraj Uttamchandani.) ProofSpace: A Flipped Classroom Experience, AMS/MAA Joint Math Meetings, San Antonio, TX, January 2015 (with students John Hines and Cathryn Menarchem.) Knot, Knot. Who's There?, Houghton College, Science and Math Colloquium, December Understanding the Johnson Filtration of the Mapping Class Group via Geometric Topology, MAA MathFest 2013, Hartford, CT, August Introduction to WeBWorK, - MAA Seaway Fall Conference, October 2012 (with Patrick Rault.) - AMTNYS Annual Fall Conference, October 2011 (with Patrick Rault.) - SUNY Geneseo, December The Mathematics of an Infinite God, - Rochester Institute of Technology, September St. John Fisher College, September The Fascinating World of Knots, - SUNY Geneseo, Colloquium, December REU Colloquium, Trinity University, June Bordism Invariants of the Mapping Class Group, - Torelli Workshop in Chicago, August University of Chicago, Topology Seminar, May University of Buffalo (SUNY), Topology Seminar, April Cornell University, Topology Seminar, November Topology Seminar, University of Rochester, October BIRS Workshop, Knots and Their Manifold Stories, Banff, Canada, May AMS/MAA Joint Mathematics Meeting, Phoenix, AZ, January Ohio State University, Topology Seminar, May George Washington University, Knots in Washington XV Conference, January AMS/MAA Joint Mathematics Meeting, Baltimore, MD, January A Spin Bordism Representation of the Mapping Class Group, Topology Seminar, Rice University, September Introduction to Bordisms, Spin Bordisms, and the Mapping Class Group, Rice University, September MCG and 3-Dimensional Bordisms, Mathematical Sciences Seminar, Rice University, December Bordism Invariants of the Generalized Johnson Subgroup, Topology Seminar, Rice University, October The 3-Dimensional Bordism Groups Relationship to the Johnson Subgroups, Rice University, September Mapping Class Groups and the Generalized Johnson Homomorphism, Rice University, October The Lickorish Twist Theorem, Rice University, October Measuring the Shape of the Universe, Rice University, November Classical Constructability Problems, Texas Christian University, April Dynamics of the Tent Map, Trinity University, July

6 SERVICE AND ACTIVITIES MAA Seaway Section Extended Executive Committee 2011-present MAA Gehman Lecture Committee (Committee Chair 2011-present) 2010-present MAA WeBWorK Consultant 2010-present SUNY Geneseo Committee on Nominations and Elections 2014-present SUNY Geneseo Master Teacher Professional Development Workshop Fall 2015 SUNY Geneseo New York State Master Teacher Interviewer/Evaluator Fall 2014 SUNY Geneseo TLC New Faculty Mentor SUNY Geneseo Phi Beta Kappa Historian SUNY Geneseo Personal Safety Committee 2012-present SUNY Geneseo Steering Committee on Teaching (in preparation for "Beyond Fall 2012 SOFIs: creating a system of supporting and evaluating teaching. ) SUNY Geneseo GREAT Day session moderator Spring 2012 SUNY Geneseo Presidential Scholars Committee (Committee Chair in 2011) 2010, 2011 SUNY Geneseo Faculty Senate SUNY Geneseo Graduate Affairs Committee Math Department Departmental Committee (Committee Chair ) , Math Department Five Year Review Committee Math Department Website Coordinator 2008-present Math Department WeBWorK Coordinator (Internet-based homework system) 2007-present Math Department Staffing Committee , 2015-present Math Department Pi Mu Epsilon Committee , 2015-present Math Department Computer Committee Math Department Honors Committee Math Department Graduate Advisement Committee Math Department Curriculum Committee Student Advising 2008-present GRE (Math subject-based) Preparation Ratio Christi Geneseo Faculty Advisor 2013-present Cornerstone Campus Ministries (Geneseo Cru) Faculty Advisor Pursuing Rewards in the Study of Mathematics (PRISM) Faculty Advisor PRISM Pi in the Face for Autism Fundraiser Livingston Cares Jailbreak Fundraiser 2010 Society of Undergraduate Math Students (SUMS), Univ. of Rochester University of Rochester Liaison for Mathematical Association of America SUMS Tutoring Coordinator, University of Rochester Math Graduate Student Tutoring Coordinator, Rice University

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