Jason Lutz

Teaching:

• Past Courses Taught:
  • Courses Taught as principal lecturer:
    • Math 101 College Algebra, Fall 2011
  • Other Teaching Experience:
    • Teaching Assistant for Intensive Mathematics: a Mentoring, Education, and Research Summer Experience (IMMERSE), Summer 2011
    • Recitation Instructor, Math 107 Analytic Geometry and Calculus II, Spring 2011
    • Recitation Instructor, Math 106 Analytic Geometry and Calculus I, Fall 2010

Talks:

• "i>Clickers and Math Classes", Graduate Student Seminar, UNL. April 23, 2012.
  Abstract: Come and take part in a hands-on demonstration of the University's i>Clicker Student Response System! We'll discuss the features and ways to implement the technology in our classrooms. Slides (pdf)
• "Periodic free resolutions over complete intersections", Commutative Algebra Reading Seminar, UNL, February 21, 2012.
  Abstract: We'll discuss a result of Eisenbud (1980) which states that a minimal resolution of a complete intersection by free modules of bounded rank is necessarily periodic of period 2.
• "On the invariant theory of finite groups", Commutative Algebra Reading Seminar, UNL. November 1, 2011.
  Abstract: I'll talk about a paper by Müfit Sezer, "Sharpening the generalized Noether bound in the invariant theory of finite groups," (MR1933869) which proves that the degrees of the generators of the ring of invariants depend only on very basic properties of the group.
• "Banach-Tarki Paradox", Graduate Student Seminar, UNL. October 24, 2011.
  Abstract: We discuss the Banach-Tarski paradox, often cited as evidence against the use of the Axiom of Choice. I'll argue that this paradox is not so implausible, and examine the role of the Axiom of Choice in the proof. Notes (pdf)
• "Singular Generating Sets of a Finite Group", Graduate Student Seminar, UNL. October 22, 2010.
  Abstract: A singular generating set provides a mechanism for representing the elements of a finite group in a manner similar to the way in which a basis allows for a concise way to describe all the elements of a vector space. In this talk, we'll construct singular generating sets for familiar families of finite groups, noting that not all finite groups can be singularly generated.

• Course Notes - Algebra 902 (pdf)
  Covers topics including chain conditions, simplicity and semisimplicity, length, the Artin-Wedderburn Theorem, the Jacobson Radical, and dimension theory.

• Notes on the Banach-Tarski Paradox (pdf)
  Notes from a talk I gave at the Graduate Student Seminar. My intent was to explain the role of the Axiom of Choice in the proof of the Banach-Tarski Paradox. For more on the paradox, see Banach-Tarski paradox - Wikipedia.

Service:

• Committee Memberships:
  • Graduate Student Advisory Board, UNL Math Department, Fall 2010 to present (two year term).

Links: