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Hi, I am David

David Burrell

Graduate Assistant at University of Florida

I am passionate about teaching and researching mathematics. My current research focuses on computational group theory.

Leadership
Team Work
Hard Working

Experiences

1
University of Florida

May 2017 - Present, Gainesville, FL

Graduate Assistant

Aug 2018 - Present

  • Responsible for teaching flipped Calculus 1 courses (Fall 2022, Fall 2021). Each course consisted of roughly 65 students.
  • Responsible for Coordinating 3 sections of Calculus 2 (Summer 2022). This included coordinating course design with two other instructors and overseeing assembly exams for roughly 90 students.
  • Responsible for teaching Calculus 2 courses (Summer 2022, Summer 2019). Each course consisted of roughly 30 students.
  • Responsible for lecturing (one time per week) and grading for a proof based Linear Algebra Course (Spring 2022). The course consisted of roughly 30 students.
  • Responsible for teaching promise program courses (courses designed for first generation students). Courses taught include College Algebra (Summer 2021, Summer 2020), Trigonometry (Spring 2021), and Precalculus (Fall 2020). Each course consisted of roughly 30 students.
  • Responsible for leading discussion sections for Calculus 3 (Spring 2020), Calculus 2 (Fall 2019), and Precalculus (Spring 2019, Fall 2018). Fall assignments were for 3 sections each of roughly 30 students. Spring assignments consisted of 2 sections each of roughly 30 students.
  • Course Content Development.
  • Canvas Course Design.
Higher Mathematics Tutor

May 2017 - Sep 2018

  • Lead exam reviews for Calculus 1-3 to groups of roughly 100 students
  • Provided private and group tutoring in Abstract Algebra, Linear Algebra, Analysis, Topology and Proof Writing.
Math/Science Tutor
State College of Florida

Aug 2014 - May 2016, Venice, FL

Responsibilities:
  • Wrote a training manual for new tutors, which became the new training standard.
  • Responsible for tutoring students in College Algebra, Precalculus, Trigonometry, Calculus, Physics and Chemistry.
2
3
Senior Network Engineer
S3 Network Support

Oct 2011 - May 2012, Augusta, Ga

Responsibilities:
  • Overseeing critical network operations serving more than 20 local businesses
  • Training of junior technicians
  • Design and implementation of network solutions
  • Development of custom software solutions for clientele
Cryptologic Technician First Class
US Navy

Jul 2005 - Jul 2011,

Responsibilities:
  • Mission critical target analysis and situation reports
  • Collection and analysis for foreign language communications of interest
  • Development of software used in the analysis of communications intelligence
  • Training and leading over 100 junior linguists
  • Chosen as a technical expert to represent the US Navy and train Dutch submariners in the collection and analysis of communications intelligence
4

Education

University of Florida
2021-2023
Ph.D in Mathematics
Publications
Extracurricular Activities
  • Graduate Mathematics Association President
  • Graduate Committe Graduate Student Representative
  • Co-Founder of Directed Reading Program
  • Co-Founder Professional Development Seminar
  • Co-Founder "Simple Words" Seminar
  • Student Mentoring
  • Teaching Assistant Training
University of Florida
2018-2021
M.Sc. in Mathematics
Extracurricular Activities
  • Graduate Mathematics Association
  • Gainesville Math Circle
  • Student Mentoring
University of Florida
2016-2018
B.Sc. in Mathematics
Extracurricular Activities
  • Student Government
  • Mentoring
  • Math Team

Projects

GAP Package GRPS1024
GAP Package GRPS1024
Developer July 2020 - Present

GAP Package which provides access to the groups of order 1024 and p-class 3 and greater.

professional gap group theory
Details
GAP Package GRPS382
GAP Package GRPS382
Developer Dec 2021 - Present

GAP Package which provides access to the groups of order 38*2.

professional gap group theory
GAP Package GRPS39
GAP Package GRPS39
Developer Dec 2020 - Present

GAP Package which provides access to the groups of order 39 and p-class 3 and greater.

professional gap group theory
Details
GAP Package Fusion Systems
GAP Package Fusion Systems
Developer Jun 2022 - Present

GAP Package which provides utilities for computing with Fusion Systems.

professional gap group theory Fusion Systems
On the number of groups of order 1024
Author

We report on a recent enumeration of groups of order 1024 which shows that there are 49487367289 groups of this order.

academic p-groups
Details
The number of p-groups of order 19,683 and new lists of p-groups
Author

We report on a recent classification of the groups of order 3^9 by rank and p-class which shows that there are 5,937,876,645 groups of this order. In addition, we announce the online-availability of two large families of p-groups.

academic p-groups
On groups with few subgroups not in the Chermak-Delgado lattice
Co-Author

We investigate the question of how many subgroups of a finite group are not in its Chermak-Delgado lattice. The Chermak-Delgado lattice for a finite group is a self-dual lattice of subgroups with many intriguing properties. Fasolă and Tărnăuceanu asked how many subgroups are not in the Chermak-Delgado lattice and classified all groups with two or less subgroups not in the Chermak-Delgado lattice. We extend their work by classifying all groups with less than five subgroups not in the Chermak-Delgado lattice. In addition, we show that a group with less than five subgroups not in the Chermak–Delgado lattice is nilpotent. In this vein we also show that the only non-nilpotent group with five or fewer subgroups in the Chermak-Delgado lattice is S_3.

academic Chermak-Delgado
Details