Jason Lutz
Graduate Teaching Assistant
Department of Mathematics
University of Nebraska-Lincoln
Office: Avery Hall 342
(Avery
Hall Floorplan)
E-mail: jl...@math.unl.edu (Reveal this e-mail address)
I am a second year graduate student studying commutative algebra under
the direction of Srikanth Iyengar and Lucho Avramov.
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.
Mathematical Notes:
All notes are password protected. The username is
math and the password is notes.
Course Notes:
- 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 from Talks:
Service:
- Committee Memberships:
- Graduate Student Advisory Board, UNL Math Department, Fall
2010 to present (two year term).
Links:
Graduate Student Advisory Board
Graduate
Student Seminar
Commutative
Algebra Reading Seminar
Commutative
Algebra Seminar
UNL Math Department
My Weblog: An Aspiring
Mathematician
Last updated: 5/12/12