Dr. Corey Shanbrom

Publications::Courses::Miscellany

Publications :

• The small growth sequence of a Goursat sheaf (with Susan Colley and Gary Kennedy, in preparation)
• Self-similarity in the Kepler-Heisenberg problem (with Victor Dods, submitted)
• Numerical methods and closed orbits in the Kepler-Heisenberg problem (with Victor Dods)
  Experimental Mathematics, Vol. 28, No. 4, pp 420-427, 2019
• Length spectra of sub-Riemannian metrics on compact Lie groups (with Andras Domokos, Matthew Krauel, Vincent Pigno, and Michael VanValkenburgh)
  Pacific Journal of Mathematics, Vol. 296, No. 2, pp 321-340, 2018
• A coarse stratification of the Monster tower (with Alex Castro, Susan Jane Colley, and Gary Kennedy)
  Michigan Mathematical Journal, Vol. 66, No. 4, pp 855-866, 2017
• Complete spelling rules for the Monster tower over three-space (with Alex Castro and Wyatt Howard)
  Journal of Geometric Mechanics, Vol. 9, No. 3, pp 317-333, 2017
• Bridges between sub-Riemannian geometry and algebraic geometry (with Alex Castro and Wyatt Howard)
  Discrete and Continuous Dynamical Systems, Proceedings of 10th AIMS Conference on Dynamical Systems, Differential Equations, and Applications, pp 239-247, 2015
• Keplerian motion on the Heisenberg group and elsewhere (with Richard Montgomery)
  Fields Institute Communications, in Geometric Mechanics: The Legacy of Jerry Marsden, pp 319-342, 2015
• Periodic orbits in the Kepler-Heisenberg problem
  Journal of Geometric Mechanics, Vol. 6, No. 2, pp 261-278, 2014
• The Puiseux characteristic of a Goursat germ
  Journal of Dynamical and Control Systems, Vol. 20, No. 1, pp 33-46, 2014
• Two problems in sub-Riemannian geometry (Ph.D. Thesis), 2013
• Student Study Guide with Solutions to Vector Calculus (with Paul Tokorcheck), 2012

Courses Taught:

• Spring 2020: Math 31 Calculus 2. Syllabus
• Fall 2019: Math 108 Introduction to Formal Mathematics. Syllabus
• Fall 2019: Math 31 Calculus 2. Syllabus
• Spring 2019: Math 230B Real Analysis 2 (graduate). Syllabus
• Spring 2019: Math 31 Calculus 2. Syllabus
• Fall 2018: Math 230A Real Analysis 1 (graduate). Syllabus
• Fall 2018: Math 31 Calculus 2. Syllabus
• Spring 2018: Math 190 History of Mathematics. Syllabus
• Spring 2018: Math 31 Calculus 2. Syllabus
• Fall 2017: Math 190 History of Mathematics. Syllabus
• Fall 2017: Math 30 Calculus 1. Syllabus
• Spring 2017: Math 104 Vector Analysis. Syllabus
• Spring 2017: Math 31 Calculus 2. Syllabus
• Fall 2016: Math 190 History of Mathematics. Syllabus
• Fall 2016: Math 31 Calculus 2. Syllabus
• Spring 2016: Math 104 Vector Analysis. Syllabus
• Spring 2016: Math 30 Calculus 1. Syllabus
• Fall 2015: Math 130B Functions of a Real Variable 2. Syllabus
• Fall 2015: Math 30 Calculus 1. Syllabus
• Spring 2015: Math 130A Functions of a Real Variable 1. Syllabus
• Spring 2015: Math 31 Calculus 2. Syllabus
• Fall 2014: Math 108 Introduction to Formal Mathematics. Syllabus
• Fall 2014: Math 30 Calculus 1. Syllabus
• Spring 2014: Math 31 Calculus 2. Syllabus
• Fall 2013: Math 30 Calculus 1. Syllabus
• Previous Courses at UCSC: Math 23A Vector Calculus, Math 23B Vector Calculus (as instructor); Math 3 Precalculus, Math 19A Calculus I, Math 19B Calculus II, Math 21 Linear Algebra, Math 23A Vector Calculus, Math 23B Vector Calculus, Math 100 Intro to Proofs, Math 103 Complex Analysis, Math 110 Number Theory, Math 128 Euclidean and Non-Euclidean Geometry, Math 181 History of Math (as teaching assistant)

Other stuff:

• I am co-director of CSUS Peer Assisted Learning (PAL) Program; info here
• Sacramento Mathematics Project info here
• Ph.D. Advisor: Richard Montgomery (Geneology)
• My Erdos number is 3
• I am a Project NExT Gold14 dot
• Some code
• My CV (short; long)