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Award Abstract # 2243938
REU Site: Extremal Graph Theory and Dynamical Systems at RIT

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: ROCHESTER INSTITUTE OF TECHNOLOGY
Initial Amendment Date: January 10, 2023
Latest Amendment Date: January 10, 2023
Award Number: 2243938
Award Instrument: Standard Grant
Program Manager: Adriana Salerno
asalerno@nsf.gov
 (703)292-2271
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: February 1, 2023
End Date: January 31, 2026 (Estimated)
Total Intended Award Amount: $323,992.00
Total Awarded Amount to Date: $323,992.00
Funds Obligated to Date: FY 2023 = $323,992.00
History of Investigator:
  • Darren Narayan (Principal Investigator)
    dansma@rit.edu
  • Laura Munoz (Co-Principal Investigator)
Recipient Sponsored Research Office: Rochester Institute of Tech
1 LOMB MEMORIAL DR
ROCHESTER
NY  US  14623-5603
(585)475-7987
Sponsor Congressional District: 25
Primary Place of Performance: Rochester Institute of Tech
1 LOMB MEMORIAL DR
ROCHESTER
NY  US  14623-5603
Primary Place of Performance
Congressional District:
25
Unique Entity Identifier (UEI): J6TWTRKC1X14
Parent UEI:
NSF Program(s): RSCH EXPER FOR UNDERGRAD SITES
Primary Program Source: 01002324DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 9250
Program Element Code(s): 113900
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

The REU Site in Extremal Graph Theory and Dynamical Systems at the Rochester Institute of Technology (RIT) will actively engage ten students in each of the summers of 2023, 2024, and 2025 in research experiences in the mathematical sciences. Research projects will be in the areas of graph theory, linear algebra, and dynamical systems, some of which are linked to mathematical biology. All students will work directly with RIT faculty for the entirety of the program and will receive mentoring in mathematical research practices, as well as in written and oral communication. Students will give presentations on their research findings at the end of each week. The program will have a heavy emphasis on networking with other mathematicians and will include a "Researchers in Residence" component, where experts from outside of RIT visit the program and collaborate with students and faculty. Results from research projects will be disseminated through publications in refereed journals, presentations at national and regional mathematical meetings, and at the students' home institutions. Students will be encouraged to pursue graduate studies and employment in the mathematical sciences. During the program, students will also participate in an Ethics in Science Workshop. The recruitment efforts will target students from universities, liberal arts colleges, and community colleges. An important element of the program will be the inclusion of women, minorities, and students from colleges without Ph.D. programs or which have limited research opportunities.

Research projects will impact the areas of discrete and applied mathematics. Applied projects will include modeling of cardiac arrhythmia and analysis of complex networks related to global climate systems. Projects with a theoretical focus will include problems from structural and extremal graph theory and linear algebra. The faculty and participants will utilize mathematical software packages including Mathematica, Matlab, Sage, and Nauty to help with computations and simulations.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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Kaudan, Chirag and Taylor, Rachel and Narayan, Darren A. "An Inverse Approach for Finding Graphs with a Failed Zero Forcing Number of k" Mathematics , v.11 , 2023 https://doi.org/10.3390/math11194068 Citation Details
Munoz, Laura and Marks, Anna and Santiago-Reyes, Julio and Ampofo, Mark and Cherry, Elizabeth "Observability Analysis of Data Reconstruction Strategies for a Cardiac Ionic Model" , 2023 https://doi.org/10.22489/CinC.2023.441 Citation Details
Ramanathan, Nytha and Ramirez, Eduardo and Suzuki-Burke, Dorothy and Narayan, Darren A "Closeness Centrality of Asymmetric Trees and Triangular Numbers" Mathematics , v.12 , 2024 https://doi.org/10.3390/math12192994 Citation Details

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