BRITTNEY FALAHOLA
Graduate Student ◦ Department of Mathematics ◦ University of Nebraska-Lincoln
203 Avery Hall ◦ Lincoln, NE 68588-0130 ◦ [email protected]
EDUCATION
Ph.D. in Mathematics, University of Nebraska-Lincoln
Advisor: Thomas Marley
Thesis Title: Characterizations of Gorenstein Rings Using Frobenius
Expected May 2017
M.S. in Mathematics, University of Nebraska-Lincoln
May 2013
B.S. in Mathematics, summa cum laude, Baylor University
May 2011
HONORS
Graduate Assistance in Areas of National Need (GAANN) Fellowship
Member of Phi Beta Kappa
AY 2011-12
Inducted Spring 2010
RESEARCH INTERESTS
My research is in commutative algebra, in particular, characteristic p methods in homological algebra.
TEACHING EXPERIENCE
As the Instructor of Record
Math 221, Differential Equations
Fall 2016
Math 107, Calculus II
Spring 2016
Math 106, Calculus I
Summer 2015
Math 300, Mathematics Matters
Spring 2015
A course for pre-service teachers to develop a deeper understanding of the mathematics taught in
elementary school.
Math 102, Trigonometry
Spring 2014
Math 100A, Intermediate Algebra
Fall 2012, 2013, 2014, Spring 2013
As a Graduate Teaching Assistant
Math 808T, Concepts of Calculus
Summer 2016
This course is part of the Math in the Middle Institute Partnership, which is a partnership among
educators at the University of Nebraska-Lincoln, Lincoln Public Schools and Nebraska’s Rural
Educational Service Units. The focus is developing intellectual leaders in middle-level mathematics
(grades 5-8), improving student achievement in math, and reducing the achievement gaps in the
mathematical performance of diverse student populations in Nebraska.
Lead Instructor: Allan Donsig
Math 106, Calculus I Recitation Instructor
Fall 2011, Fall 2015
Math 802P, Geometry and Algebraic Teaching, Grand Island, NE
Summer 2014
This course is a part of NebraskaMATH, which is a statewide partnership that works to educate and
support Nebraska’s K-12 students and teachers at critical junctures, with an overall goal of improving
achievement in mathematics for all students and narrowing achievement gaps of at-risk populations.
Lead Instructor: William (Jim) Lewis
Brittney Falahola
Curriculum Vitae
Advisor for Master of Arts for Teachers (MAT) Students
Duties included:
Page 2 of 4
Summer 2016
Advising two groups of four students on their Master’s thesis projects
Topics of projects:
For Recursion, See Recursion: A study in several mathematical objects involving recursion including
the Fibonacci sequence, Tower of Hanoi, and Chebyshev polynomials.
Do Dogs Know Calculus? : An investigation into optimization using calculus and algebraic techniques.
Workbook Development for Math 107, Calculus II
Duties included:
Summer 2016
Assisting one other graduate student in creating a workbook for Calculus II students to use during
recitations
Topics in the workbook included: problems for each section, exam review, some supplementary
material
Associate Convenor for Math 100A, Intermediate Algebra
Duties included:
Fall 2013, 2014
Writing unit exams
Creating online homework assignments through WeBWorK online homework system
Coordinating and running weekly meetings for all instructors of the course
Consolidating exam results among sections, analysis of student progress from exam to exam
In-class observation and mentorship of two graduate student instructors (Fall 2014)
Curriculum Development for Math 100A, Intermediate Algebra
Duties included:
Summer 2013, 2014
Creating the course syllabus, including setting the daily schedule and choosing material to cover
Modifying existing and creating new lesson plans to be distributed to instructors
Modifying existing and creating new handouts to accompany lectures
PUBLICATIONS
Characterizing Gorenstein Rings Using Frobenius
Coauthor: Thomas Marley
In preparation.
INVITED TALKS & PRESENTATIONS
Algebra and Discrete Math Seminar, Clemson, SC
Characterizing Gorenstein Rings of Characteristic p
December 2016
AMS Fall Southeastern Sectional Meeting, Raleigh, NC
Characterizing Gorenstein Rings Using Frobenius
November 2016
Commutative Algebra & Its Interactions with Algebraic Geometry, Ann Arbor, MI July 2016
Characterizing Gorenstein Rings Using Frobenius, Poster presentation
KUMUNUjr, Lincoln, NE
Characterizing Gorenstein Rings Using Frobenius
Southwest Local Algebra Meeting, San Marcos, TX
Characterizing Gorenstein Rings Using Frobenius, Poster presentation
April 2016
February 2016
Brittney Falahola
Curriculum Vitae
Page 3 of 4
SEMINAR TALKS
Commutative Algebra Seminar, University of Nebraska-Lincoln
Characterizing Gorenstein Rings Using Frobenius
December 2015
Commutative Algebra Reading Seminar, University of Nebraska-Lincoln
Characterizing Gorenstein Rings Using Frobenius
Applications of Dualizing Complexes
Examples of Gorenstein Rings
Applications of the Artin-Rees Lemma
Fall
Spring
Fall
Fall
2015
2015
2014
2013
CONFERENCES ATTENDED
KUMUNU, Lawrence, KS
An annual conference for commutative algebraists in the Great Plains
October 2016
Commutative Algebra and Its Interactions with Algebraic Geometry,
Poster presented, Ann Arbor, MI
July 2016
Southwest Local Algebra Meeting, Poster presented, San Marcos, TX
February 2016
KUMUNU, Columbia, MO
October 2015
RTG Local Cohomology Workshop at UIC, Chicago, IL
KUMUNUjr, Lincoln, NE
February 2015
Each April, 2013-16
AMS Spring Central Sectional Meeting, Lawrence, KS
Joint Mathematics Meeting, Boston, MA
March 2012
January 2012
SERVICE
KUMUNUjr Organizing Committee
AY 2016-17
KUMUNUjr is a conference organized by and held for graduate and postdoctoral students studying
commutative algebra.
Graduate Advisory Committee, Graduate Student Member
AY 2015-16
The Graduate Advisory Committee (GAC) is comprised of roughly six faculty members and one
graduate student and serves to advise the department about all aspects of the graduate program. In
particular, the GAC monitors graduate curriculum, recruitment and graduate applications, awards and
fellowships, graduate requirements, and advises the department on graduate student teaching loads.
Nebraska Conference for Undergraduate Women in Mathematics, Volunteer
Assisted with conference material preparations and conference registration.
January 2016
Math Day, Volunteer
Once a year, 2011-2016
Served as a math bowl competition moderator in this event for high school students from Nebraska.
Math 100A (Intermediate Algebra) Textbook Committee
Spring 2015
Job Search for Dean of College of Arts and Sciences, Student Representative
Professor of Practice Search Committee
Fall 2014
AY 2013-14
PROFESSIONAL DEVELOPMENT
Mentoring 360◦ : Strategies and Skills for Mentoring and Being Mentored
Workshop hosted by the Office of Graduate Studies and the Office of Postdoctoral Studies.
Lincoln Area Math Teachers’ Circle, Participant
Fall 2016
Fall 2015 & 2016
Brittney Falahola
Curriculum Vitae
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Preparing Future Faculty Fellow
Summer 2016 - Fall 2016
The Preparing Future Faculty (PFF) program at UNL is a professional development opportunity for
advanced doctoral students interested in pursuing a faculty position. Participants learn about faculty roles
and responsibilities (research/scholarship, teaching, service) and gain direct knowledge of the diversity of
higher education institutions (large public research, liberal arts, comprehensive, private religious, etc.)
through a structured mentoring experience with partner institution mentors.
Professional Development Seminar, Participant
Spring 2016
This seminar, led by a faculty member with presentations weekly by graduate students, engages
graduate students nearing graduation in conversations about topics relevant to those pursuing a job in
academia.
American Mathematical Society, Member
Fall 2011 - present