Scott Kaschner
Contact Information
Office:
JH 270A, Phone: (317) 940-8975
Mailing address:
Department of Mathematics and Actuarial Science
Butler University
JH 253A
4600 Sunset Ave. Ave.
Indianapolis, IN 46208
Email:
skaschne at butler dot edu
Documents
CV
Teaching
Courses Taught at Butler University:
MA107 Analytic Geometry and Calculus II
MA125 Business Calculus
MA200 Introduction to Mathematical Writing and Reasoning
MA205 Discrete Mathematics
MA208 Analytic Geometry and Calculus III
AR210 Statistically Speaking
AR215 Win, Lose, or Draw
MA308 Problem Solving Seminar
MA310 Linear Algebra
MA330 Complex Analysis
MA334 Differential Equations
MA337 Applied Dynamics and Stability Theory
MA361 Statistical Theory
MA410 Mathematics Intern Seminar
MA426 Analysis: Theory of Calculus
MA428 Analysis: Calculus on Manifolds
Research
Published papers, books, etc:
Superstable manifolds of invariant circles and co-dimension 1 Bottcher functions.
with Roland K.W. Roeder in
Ergodic Theory and Dynamical Systems
2015
Geometric Limits of Julia Sets with Parameters on the Circle.
with Reaper Romero and David Simmons in
International Journal of Bifurcation and Chaos
2015
Examples of Rational Maps of CP2 with Equal Dynamical Degrees and No Invariant Foliation.
with Rodrigo Perez and Roland K.W. Roeder in
Bulletin de la Société Mathématique do France
2016
Complex Perspective for the Projective Heat Map Acting on Pentagons.
with Roland Roeder in
Conformal Geometry and Dynamics
Logical Misconceptions on True-False Assessments in Early Undergraduate Mathematics.
with Susan Durst in
PRIMUS
2020
Geometric limits of Julia sets for sums of power maps and polynomials.
with Micah Brame in
Complex Analysis and Its Synergies
2020
Dynamical Differences in Respiratory Syncytial Virus.
with Ryan Heumann, Carly Duncan, Chris Stobart in
Bulletin of Mathematical Biology
2022
Spectra of Weighted Composition Operators with Quadratic Symbols.
with Derek Thompson, Alex McFarland, Jessica Doctor, and Timothy Hodges in
Concrete Operators
2022
Symmetrization of rational maps: arithmetic properties and families of Lattes maps of CPk.
with Thomas Gauthier and Benjamin Hutz in
Conformal Geometry and Dynamics
2023
Spectra of Weighted Composition Operators on the Unit Ball.
with Trieu Le, Chloe Makdad, Benjamin Rempfer, Derek Thompson, and DeJuan Winters in
Acta Scientiarum Mathematicarum
2023
Submitted papers, books, etc:
Linear Transformations on Vector Spaces.
with Amber Russell
Uniform convergence of iterates on the unit ball of functions of bicomplex and quaternionic variables.
with Chloe Makdad, Benjamin Rempfer, and DeJuan Winters
Dissonance, Harmony, and Cultural Conflict in Interdisciplinary Co-Teaching.
with Aubrey Neihaus
Theses:
Superstable Manifolds of Invariant Circles.
Results and Examples Regarding Bifurcation With a Two-Dimensional Kernel.
Posters:
Superstable Manifolds of Invariant Circles.
with with Roland K.W. Roeder.
Examples of Rational Maps of CP2 with Equal Dynamical Degrees and No Invariant Foliation.
with Rodrigo Perez and Roland K.W. Roeder.
Logical Misconceptions on True-False Assessments in Early Undergraduate Mathematics.
with Susan Durst.
Education
Ph.D. Math - Department of Mathematical Sciences, IUPUI
http://www.math.iupui.edu/
, 2013.<\li>
M.S. Math - University of Akron, Akron OH
http://www.uakron.edu/math/
, 2008.
B.S. Math - University of Akron, Akron OH
http://www.uakron.edu/math/
, 2003.
Last updated: June 18th, 2019.