Andrew Baxter

Photo Credit: Christie Debernardis

Ph.D. in Math from Rutgers Currently an Instructor at Penn State University (PSU website currently under construction) Email: baxter [at] math [dot] psu [dot] edu Curriculum Vita (Last Updated: January 28, 2012)

Teaching --- Seminars --- Research

Teaching:

I am currently teaching Math 035 and Math 471 at Penn State University, University Park.

Previous Teaching:

• Math 454: Combinatorics
  • Summer 2010
• Math 251: Multivariable Calculus:
  • Fall 2010 (Recitation only)
  • Summer 2009 (Maple only)
  • Summer 2008 (Maple only)
  • Spring 2008 (Recitation only)
  • Fall 2007 (Recitation only)
  • Spring 2007 (Recitation only)
• Math 151: Calculus for Mathematical and Physical Sciences
  • Fall 2008 (Recitation only)
  • Fall 2009 (Lecture and Recitation)
  • Spring 2010 (Lecture and Recitation)
• Math 152: Calculus II for Mathematical and Physical Sciences
  • Spring 2009 (Recitation only)
• Math 103: Topics in Mathematics for Liberal Arts Majors:
  • Summer 2008
  • Summer 2007
• Math 112: Precalculus II
  • Fall 2006 (Recitation only)

Seminars Previously co-organized at Rutgers:

Publications

• Periodic orbits for billiards on an equilateral triangle.
  With Ron Umble.
  Amer. Math. Monthly Vol. 115 (2008), no. 6, 479--491.
• Applying the cluster method to count occurences of generalized permutation patterns.
  Difference Equations and Applications Vol. 17 (2011), no. 5, 709--720.
• Refining enumeration schemes to count according to the inversion number.
  Pure Mathematics and Applications. Volume 21. Issue No. 2. (2010).
• The number of inversions and the major index of permutations are asymptotically joint-independently normal.
  With Doron Zeilberger.
  Personal Journal of Shalosh B. Ekhad and Doron Zeilberger. February 2011.
• Automatic generation of theorems and proofs on enumerating consecutive-Wilf classes.
  With Brian Nakamura and Doron Zeilberger.
  Presented at Waterloo Workshop in Computer Algebra 2011, W80
  To appear: Proceedings of the W80 Conference.
• Algorithms for Permutation Statistics
  Ph.D. Thesis.
• Pattern avoidance by even permutations.
  With Aaron D. Jaggard.
  Electronic Journal of Combinatorics. Volume 18(2). (2011).
• Enumeration schemes for vincular patterns.
  With Lara Pudwell.
  To appear in Discrete Mathematics.
• Shape-Wilf-equivalences for vincular patterns.
  Available on ArXiv.org.
• Translating enumeration schemes into functional equations.
  In preparation.
• Enumerating periodic billiards in certain polygons.
  With Jonathan Eskreis-Winkler and Ethan McCarthy.
  In preparation.
  
  
• Dealing with Students with Different Levels of Academic Preparation.
  TAP Workshop (9/23/2010).
  Version for Math Teaching Seminar.

Other Projects

• Webbook: "One-hundred-twenty Calcudoku Puzzles". Produced in collaboration with Doron Zeilberger's 2009 Experimental Math class.
• Webbook: "Many Mini-Chess Problems". Produced in collaboration with Doron Zeilberger's 2011 Experimental Math class.

Mathematical Interests

• Enumerative Combinatorics (specifically permutation patterns)
• Math History
• Math Pedagogy