Sarah Allred
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Employment
2023present  Assistant Professor, University of South Alabama 
20222023  Postdoctoral Scholar, Vanderbilt University 
Education
20172022  Ph.D., Mathematics, Louisiana State University Advisor: Bogdan Oporowski Dissertation: Unavoidable Structures in Large and Infinite Graphs 
20162017  M.S., Mathematics, Louisiana State University 
20122016  B.S., Mathematics, Auburn University 
Research Interests
General:  Combinatorics, Graph Theory 
Specific:  Structural and Extremal Graph Theory 
Papers
Published Papers
 S. Allred, P. Johnson, M. Murphy, Forbidding Rainbow Cycles with EdgeColorings of K_{m,n}. Alabama Journal of Mathematics Vol. 38 (2014).
 S. Allred, P. Johnson, Theta Graphs are Hall tchromatic for all t = 0, 1, 2, … . Bulletin of the ICA, Vol. 81 (2017).
 S. Allred, G. Ding, B. Oporowski, Unavoidable Induced Subgraphs of Large 2Connected Graphs. SIDMA, Vol 37, Iss. 2 (2023).
 S. Allred, E. Curl, S. Fallat, S. Nasserasr, H. Schuerger, R.R. Villagrán, P.K. Vishwakarma, The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions. Graphs and Combinatorics. Vol 40, Iss. 2 (2024).
Preprints
 S. Allred, C. Erickson, K. Grace, H.T. Hall, A. Jensen, A Combinatorial Bound on the Number of Distinct Eigenvalues of a Graph. arXiv: 2209.11307.
 S. Allred, G. Ding, B. Oporowski, Unavoidable Induced Subgraphs of Infinite 2Connected Graphs. arXiv: 2211.06416.
Papers in Preparation
 S. Allred, M. Ellingham, Unavoidable Induced Subgraphs of 2edgeconnected graphs.
Extended Research Travel
Summer 2021  AMS Mathematics Research Community 
Internships
Summer 2020 
Software Engineering Institute, Carnegie Mellon University

Honors, Awards, Distinctions
Louisiana State University
Fall 2020  Certificate of Teaching Excellence 
Spring 2020  David Oxley Graduate Teaching Award 
20162018  Board of Regents Fellow 
Presentations
Invited Talks
2023  Unavoidable Induced Subgraphs of 2connected Graphs, Georgia Tech Graph Theory Seminar, Georgia Institute of Technology. 
2023  Unavoidable Induced Subgraphs of Infinite 2connected Graphs, AMS Spring Southeastern Section Meeting, Georgia Institute of Technology. 
2023  Unavoidable Induced Subgraphs of Infinite 2connected Graphs, Joint Mathematics Meetings, Boston, MA. 
2022  Unavoidable Induced Subgraphs of Large 2connected Graphs, Auburn Combinatorics Seminar, Auburn University. 
2022  Unavoidable Induced Subgraphs of Large and Infinite 2connected Graphs, Joint Vanderbilt/MTSU Graph Theory and Combinatorics Seminar, Vanderbilt University. 
2022  Unavoidable Induced Subgraphs of Large and Infinite 2connected Graphs, Virtual Women in Combinatorics Seminar. 
2022  Unavoidable Induced Subgraphs of Large 2connected Graphs, Joint Mathematics Meetings. 
2020  Unavoidable Induced Subgraphs of Large 2connected Graphs, Graphs and Matroids Seminar, University of Waterloo. 
2018  Theta Graphs are Hall tChromatic, Auburn REU, Auburn University. 
Other Talks
2022  Unavoidable Induced Subgraphs of Large and Infinite 2connected Graphs, LSU Combinatorics Seminar, Louisiana State University. 
2020  Unavoidable Induced Subgraphs of Large 2connected Graphs, LSU Combinatorics Seminar, Louisiana State University. 
2019  Unavoidable Induced Subgraphs of Large 2connected Graphs, 7th Mississippi Discrete Math Workshop, University of Mississippi. 
2019  Unavoidable Induced Subgraphs of Large 2connected 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 tchromatic, 49th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University. 
Teaching
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.
University of South Alabama
Spring 2024  Graph Theory 
Spring 2024  Discrete Mathematics 
Fall 2023  Finite Mathematics 
Fall 2023  Discrete Mathematics 
Vanderbilt University
Spring 2023  Methods of Linear Algebra 
Spring 2023  ErrorCorrecting Codes and Cryptography 
Fall 2022  ErrorCorrecting Codes and Cryptography 
Louisiana State University
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
Vanderbilt University
2023  Math Tutor, Community Achieves at H.G. Hill Middle School. 
Louisiana State University
Fall 2021  Mentor for the Communicating Math Graduate Course, Louisiana State University. 
20212022  Member, Student Colloquium Committee, Louisiana State University 
2021  Chair, G.E.A.U.X Orientation Program for New Math Graduate Students, Louisiana State University. 
Spring 2020  Mentor for the Communicating Math Graduate Course, Louisiana State University. 
20202022  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 firstyear 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 firstyear 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 20192022  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. 
2017–2022  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 
Last Updated: February 2024