| Curriculum Vitae | ||
| Scott Crass | ||
| Department
of
Mathematics & Statistics |
||
| CSU, Long Beach | ||
| Long Beach, CA 90840 | |
|
| studies | ||
| University of
California, San Diego Thesis: Solving the Sextic by Iteration: A Complex Dynamical Approach Advisor: Peter Doyle |
1991-1996 | Ph.D. Mathematics |
| California State University, Long Beach | 1988-1991 | B.A. Mathematics |
| University of Notre Dame | 1982-1984 | M.A. History and Philosophy of Science |
| positions | ||
| Professor
of
Mathematics |
CSULB |
2010- |
| Associate Professor of Mathematics | CSULB | 2005-2010 |
| Assistant Professor of Mathematics | CSULB | 2001-2005 |
| Assistant Professor of Mathematics | SUNY College at Buffalo | 1997-2001 |
| Research Fellow | University of Warwick | 1999-2000 |
| Assistant Professor of Mathematics | Denison University | 1996-1997 |
| work |
| expository |
| Polynomials, Dynamics, and
Choice: The Price We Pay for Symmetry CRC Press, 2022 |
| An
experimental approach to equation-solving: Symmetry and
dynamics In T. Ambdeberhan and V. Moll, eds., Tapas in Experimental Mathematics Contemporary Mathematics 458 (American Mathematical Society, 2008) |
| Polynomials,
symmetry, and dynamics: An undertaking in
aesthetics Visual Mathematics 4, No. 1, 2002 |
| Solving
polynomial equations by iteration: An aesthetic
approach In C. Bruter, ed., Mathematics and Art (Springer-Verlag, 2002) Preprint: arpam.free.fr/colloque.html |
| research |
| Completely solving the
quintic by iteration La Matematica, 2022 |
| Critically-finite dynamics
on the icosahedron Symmetry, 2020, 12(1), 177 (open access) |
| Dynamics of a soccer ball Experimental Mathematics 23, No. 3, 2014, 261-270 |
| New
light on solving the sextic by iteration: An algorithm
using reliable dynamics Journal of Modern Dynamics 5, No. 2, 2011, 397-408 Preprint: arxiv.org/abs/1106.3304 |
| Solving
the heptic by iteration in two dimensions: Geometry and dynamics under Klein's group of order 168 Journal of Modern Dynamics 1, No. 2, 2007, 175-203 Preprint: arxiv.org/abs/math.DS/0601394 |
| A family of critically finite maps with
symmetry Publicacions Matematiques 49, No. 1, 2005, 127-157 Preprint: arxiv.org/abs/math.DS/0307057 |
| Solving
the octic by iteration in six dimensions Dynamical Systems: An International Journal 17, No. 2, June 2002 |
| Solving
the quintic by iteration in three dimensions Experimental Mathematics 10, No. 1, 2001, 1-24 Preprint: arxiv.org/abs/math.DS/9903054 |
| Solving the sextic by iteration:
A study in complex geometry and dynamics Experimental Mathematics 8, No. 3, 1999 , 209-240 Preprint: arxiv.org/abs/math.DS/9903111 |
| With Peter Doyle. Solving the
sextic by iteration: A complex dynamical approach International Mathematics Research Notices, No. 2, 1997, 83-99 Preprint: arxiv.org/abs/math.DS/9903106 |
| talks |
| Dynamics of a soccer ball Geometry Seminar Brown University March 2015 |
| Math as exploration Educating for Intellectual Virtues Loyola Marymount June 2013 |
| Making
a
soccer ball by iteration Mathematics Colloquium Fullerton College November 2012 |
| Dynamics
with 168-fold symmetry Dynamics semniar Univ of North Texas March 2011 |
| The
nature of fractal geometry Math Day at the Beach CSULB March 2011 |
| Math as exploration AMS-MAA-MER Special session, Mathematics and Education Reform AMS national meeting Washinton, DC January 2009 |
| Images of
dynamics and symmetry Miami University Symposium on Computational Research Dynamical Systems in Arts, Science, and Engineering Miami Univ of Ohio March 2008 |
| A family of critically
finite maps with symmetry Special session, Complex Dynamics and Complex Function Theory AMS regional meeting Miami Univ of Ohio March 2007 |
| A family of critically
finite maps with symmetry Dynamics seminar Univ of Southern California January 2007 |
| Rational maps with the
symmetries of complex reflection groups Special session, Arrangements and Related Topics AMS national meeting New Orleans January 2007 |
| The quintic is to the
icosahedron as the sextic is to what? Claremont Topology-Geometry Seminar Pomona College March 2005 |
| The Tao of bicycle tracks Math Day at the Beach CSULB March 2005 |
| A family of critically
finite maps with symmetry Special session, Applications of algebraic methods in dynamical systems Fifth International Conference on Dynamical Systems and Differential Equations American Institute of Mathematical Sciences California State Polytechnic Univ, Pomona June 2004 |
| Drawing in Mathematical
Light Contributed paper session, Mathematics across the curriculum Mathematical Association of America, Southern California section meeting California State Polytechnic Univ, Pomona October 2003 |
| The octic equation and
beyond Mathematics colloquium Tulane Univ March 2003 |
| Solving the quintic by
iteration in three dimensions Special Session, The Quintic Equation: Algebra and Geometry AMS regional meeting Portland State Univ June 2002 |
| Maps on CP3 with the symmetries of the
symmetric group S5 LA Dynamics Seminar CSULB January 2002 |
| Solving the octic by
iteration in six dimensions Mathematics colloquium Wake Forest Univ November 2000 |
| Solving
polynomial equations by iteration: An aesthetic
approach Arts et Mathématiques Colloque Maubeuge, France September 2000 |
| Symmetry-based
solutions to polynomials Session on Symmetry Alhambra 2000 Granada, Spain July 2000 |
| Solving
the quintic by iteration in three dimensions Spring lecture series, Complex Dynamics Univ of Arkansas, Fayetteville April 1999 |
| Solving
the quintic by iteration in three dimensions Geometry and topology seminar SUNY, Buffalo December 1998 |
| Maps on CP3 with the symmetries of the
symmetric group S5 Special session, Complex Dynamics AMS regional meeting Chicago, Illinois September 1998 |
| Solving
the sextic by iteration Geometry and topology seminar SUNY, Buffalo February 1998 |
| Valentiner's group: The action
of the alternating group A 6 on the
complex projective plane Special session, Groups and Geometry AMS regional meeting Manhattan, Kansas March 1998 |
| The
price we pay for symmetry UCSD May 1997 |
| Solving
the sextic by iteration Dynamics seminar SUNY, Stony Brook March 1997 |
| Solving the
Sextic by Iteration: A study in complex geometry and
dynamics Special session, Dynamical Systems and Fractal Geometry AMS regional meeting Memphis, Tennessee March 1997 |
| Molien
series for complex reflection groups Session, Combinatorics AMS national meeting San Diego, CA January 1997 |
| Projective
geometry with the game of SET Oberlin College November 1996 |