Sarah Allred

Curriculum Vitae

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Department of Mathematics

Louisiana State University

Baton Rouge, LA 70803-4918

USA

Education

2017-Present Ph.D., Mathematics (expected graduation date: 2022), Louisiana State University
Advisor: Bogdan Oporowski
2016-2017 M.S., Mathematics, Louisiana State University
2012-2016 B.S., Mathematics, Auburn University

Research Interests

General: Combinatorics, Graph Theory
Specific: Structural and Extremal Graph Theory

Papers

Published Papers

  1. S. Allred, P. Johnson, M. Murphy, Forbidding Rainbow Cycles with Edge-Colorings of Km,n. Alabama Journal of Mathematics Vol. 38 (2014).
  2. S. Allred, P. Johnson, Theta Graphs are Hall t-chromatic for all t = 0, 1, 2, … . Bulletin of the ICA, Vol. 81 (2017).

Preprints

  1. S. Allred, G. Ding, B. Oporowski, Unavoidable Induced Subgraphs of Large 2-Connected Graphs arXiv: 2009.12503

Extended Research Travel

Summer 2021 AMS Mathematics Research Community

Internships

Summer 2020 Software Engineering Institute, Carnegie Mellon University

  • Participated in ongoing research into investigating alterations to compressed archives:
    • Developed a prototype framework for format specifications
    • Represented data at multiple layers of abstraction, from binary encoding to human-readable description
  • Work product consisted of:
    • A series of technical presentations to a group with interests that include digital forensics, network security, and machine vision
    • A binary file parsing code in Python to read data and construct a higher-order representation of the file data

Awards, Honors, and Distinctions

Louisiana State University

Fall 2020 Certificate of Teaching Excellence
Spring 2020 David Oxley Graduate Teaching Award
2016-2018 Board of Regents Fellow

Presentations

Invited Talks

2020 Unavoidable Induced Subgraphs of Large 2-connected graphs Graphs and Matroids Seminar, University of Waterloo.
2018 Theta Graphs are Hall t-chromatic, Auburn REU, Auburn University

Other Talks

2020 Unavoidable Induced Subgraphs of Large 2-connected graphs LSU Combinatorics Seminar, Louisiana State University.
2019 Unavoidable Induced Subgraphs of Large 2-connected graphs 7th Mississippi Discrete Math Workshop, University of Mississippi.
2019 Unavoidable Induced Subgraphs of Large 2-connected graphs 31st Cumberland Conference on Combinatorics, Graph Theory and Computing, University of Central Florida.
2018 Combinatorics Introduction Talk, GEAUX Program, Louisiana State University.
2018 Theta Graphs are Hall t-chromatic, Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University.

Conferences Attended

2020 Virtual Grace Hopper Celebrationvirtual
2019 7th Mississippi Discrete Math Workshop, University of Mississippi.
2019 31st Cumberland Conference on Combinatorics, Graph Theory and Computing, University of Central Florida.
2019 AMS Spring Southeastern Sectional Meeting, Auburn University.
2018 6th Mississippi Discrete Math WorkshopUniversity of Mississippi.
2018 AMS Spring Southeastern Sectional Meeting, Vanderbilt University.
2018 49th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University.
2017 5th Mississippi Discrete Math Workshop, University of Mississippi.
2014 REU in Algebra and Discrete Mathematics at Auburn University.

Teaching

 

 

Louisiana State University

I was the instructor of record, where I had the sole responsibility of preparing and presenting lectures, assigning and grading tests, and assigning the overall course grade for the following courses.
Fall 2021 Honors Calculus I
Summer 2021 Differential Calculus
Spring 2021 Honors Calculus II
Fall 2020 Honors Calculus I
Spring 2020 College Algebra: Taught students with ACT score less than 19 using the R2R format. Classes met twice a week for 50 minutes. The students were required to spend 4.5 hours in a tutoring computer lab in addition to class. All assignments were given using the MyMathLab software.
Fall 2019 Calculus I
Summer 2019 Calculus II: Homework assignments were given using the WebAssign software
Spring 2019 Calculus I: Homework assignments were given using the WebAssign software

Service and Outreach

Louisiana State University

 

2021 Chair, G.E.A.U.X Orientation Program for New Math Graduate Students, Louisiana State University.
2020-Present Organizer, LSU Combinatorics Seminar, Louisiana State University: Organized and ran the LSU Combinatorics Seminar as a virtual seminar with participants from multiple different countries.
Fall 2020 Mathematics Graduate Student Mentor Program Started a tiered mentoring program for mathematics graduate students, pairing first-year graduate students with more advanced students for support.
Spring 2020 Mentor for the Communicating Math Graduate Course Louisiana State University.
Fall 2019 Mentor for the Communicating Math Graduate Course I mentored a first year graduate student. I met with the student several times throughout the semester as they observed my class, and guided them through writing and presenting a lecture in my Calculus I course. Louisiana State University.
Fall 2019-present Department Representative to the Graduate Student Association
Represented the mathematics graduate students in the Graduate Student Association and presented any concerns graduate students had to the GSA. Louisiana State University.
2019 Math with Middle and High Schoolers Gave a talk on assorted topics in Graph Theory to both a middle school and a high school math class. Lafayette Christian School.
2017–2020 Committee Member, G.E.A.U.X Orientation Program for New Math Graduate Students, Louisiana State University.
2017–Present Mentor, KIDS HOPE Mentored an elementary student in reading, mathematics, and life skills.
2017 Proctor and Grader, High School Math Contest, Louisiana State University.

Professional Memberships

American Mathematical Society
Association for Women in Mathematics
Mathematical Association of America
Women in CyberSecurity

Last Updated: May 2021