Teaching
I have been awarded a 20132014 Certificate of Recognition for
Contribution to Students by the UNL Teaching Council and
UNL Parents Association.
Spring 2020

· Math 902
– Algebra II
An introduction to commutative ring theory and basic notions of
algebraic geometry.

Fall 2019

· Math 918  Topics in Algebra: The Lefschetz
properties
An introduction to the algebraic Lefschetz
properties, following the book by the same title by Harima, Maeno, Morita, Numata,
Wachi, and Watanabe.

Spring 2019

·
Math 818
 Introduction to Modern
Algebra II
Topics from field
theory including Galois theory and finite fields and from linear
transformations including characteristic roots, matrices, canonical forms,
trace and transpose, and determinants.

Fall 2018

·
Math 817 – Introduction
to Modern Algebra I
Topics from elementary group theory and ring theory, including fundamental
isomorphism theorems, ideals, quotient rings, domains. Euclidean or
principal ideal rings, unique factorization, modules and vector spaces.

Spring 2018

· Math 407 – Math for High School Teaching
I
An abstract reasoning course, highlighting the connections between
college mathematics and high school algebra and precalculus.

Fall 2017

· Math
325 – Elementary Analysis
An introduction to mathematical reasoning, construction of proofs,
and careful mathematical writing in the context of continuous mathematics
and calculus.
· Math
905 – Commutative Algebra
Fundamental concepts of commutative ring theory: primary
decomposition, filtrations and completions, dimension theory, integral
extensions, homological methods, regular rings.

Spring 2017

· Math 314H
– Honors Applied Linear Algebra
Fundamental concepts of linear algebra from the point of view of
matrix manipulation, with emphasis on concepts that are most important in
applications. Includes solving systems of linear equations, vector spaces, determinants,
eigenvalues, orthogonality and quadratic forms.
·
Math 818
 Introduction to Modern Algebra II
Topics from field
theory including Galois theory and finite fields and from linear
transformations including characteristic roots, matrices, canonical forms,
trace and transpose, and determinants.

Spring 2016

· Math 918  Topics in Algebra: The Geometry
of Syzygies
An introduction to graded free resolutions viewed from a geometric
perspective, following the book by the same title by David Eisenbud.

Fall 2015

· Math 310
 Introduction to Modern Algebra
An introduction to proofs course designed for mathematics majors and
preservice secondary education majors, covering mathematical induction,
elementary number theory, the Fundamental Theorem of Arithmetic, modular
arithmetic and elementary notions about rings.
·
Math 314
 Applied Linear Algebra (Matrix Theory)
Fundamental concepts of linear algebra from the point of view of matrix
manipulation, with emphasis on concepts that are most important in
applications. Includes solving systems of linear equations, vector spaces,
determinants, eigenvalues, orthogonality.

Spring 2015

· Math 310  Introduction to Modern
Algebra
An
introduction to proofs course designed for mathematics majors and
preservice secondary education majors, covering mathematical induction,
elementary number theory, the Fundamental Theorem of Arithmetic, modular
arithmetic and elementary notions about rings.

Fall 2014

· Math 189H  The Joy of Numbers
(freshman honors seminar)
A guided exploration
into number theory from Euclid’s proof of the infinitude of primes to
applications in public key cryptography.
· Math 310  Introduction to Modern
Algebra
An introduction to
proofs course designed for mathematics majors and preservice secondary
education majors, covering mathematical induction, elementary number
theory, the Fundamental Theorem of Arithmetic, modular arithmetic and elementary
notions about rings.

Summer 2014

· Math 896
– Introduction to Mathematical Literature (graduate seminar)
A handson introduction
to reading and presenting mathematics for beginning graduate students.

Spring 2014

· Math 314
 Applied Linear Algebra (Matrix Theory)
Fundamental concepts
of linear algebra from the point of view of matrix manipulation, with
emphasis on concepts that are most important in applications. Includes
solving systems of linear equations, vector spaces, determinants,
eigenvalues, orthogonality and quadratic forms.

Fall 2013

·
Math 918 
Computational Algebra (graduate topics in algebra course)
An
introduction to Gröbner bases and their many applications in algebra and
geometry, with several homological and combinatorial detours.
·
Math 435
– Math in the City. See also previous topics (20062012)
of this class.
A capstone course in
mathematical modeling for issues of current interest. Run in collaboration
with the Nebraska Natural Resources Districts.
Below are the slides from two presentation I gave regarding my experience
with the course:

Spring 2013

· Math 417
 Introduction to Modern Algebra I
An introduction to
abstract group theory and some of its applications.
·
Math 208
– Calculus III
Calculus of several
variables including vectors and surfaces, parametric equations and motion,
functions of several variables, partial differentiation, maximumminimum, Lagrange
multipliers, multiple integration, vector fields, path integrals, Green's
Theorem, and applications.

Spring 2012

· Math 310
 Introduction to Modern Algebra
An introduction
to proofs course designed for mathematics majors and preservice secondary education majors, covering
mathematical induction, elementary number theory, the Fundamental Theorem
of Arithmetic, modular arithmetic and elementary notions about rings.

Fall 2011

·
Math 314
 Applied Linear Algebra (Matrix Theory)
Fundamental concepts
of linear algebra from the point of view of matrix manipulation with
emphasis on concepts that are most important in applications. Includes solving
systems of linear equations, vector spaces, determinants, eigenvalues,
orthogonality and quadratic forms.
· Putnam Training Seminar

