Katie Morrison

Faculty

Professor & Associate Chair

Email katie.morrison@unco.edu
Phone 970-351-2995
Location Ross 2240C
Address 501 20th St, Campus Box 122, Greeley, CO 80639
A headshot of Katie Morrison.

Education

PhD, University of Nebraska, 2012.
Area of Study: Mathematics, Minor in Electrical Engineering
Thesis: Equivalence and duality for rank-metric and matrix codes
Advisor: Dr. Judy Walker

MS, University of Nebraska, 2008.
Area of Study: Mathematics

BA, Swarthmore College, 2005.
Area of Study: Mathematics and Psychology

Professional Experience & Affiliations

Professor, University of Northern 黑料社区
Department of Mathematical Sciences (2023 – Present)

Associate Chair, University of Northern 黑料社区
Department of Mathematical Sciences (2022 – Present)

Associate Professor, University of Northern 黑料社区
Department of Mathematical Sciences (2017 – 2023)

Assistant Professor, University of Northern 黑料社区
Department of Mathematical Sciences (2012 – 2017)

Research Associate, Pennsylvania State University
Department of Mathematics (2015)

Research Expertise & Interests

Algebraic Coding Theory

I’m interested in how algebraic and discrete structures can be used to support efficient transmission and storage of information.

Mathematical Neuroscience

I work on mathematics questions arising from theoretical neuroscience, particularly neural network theory and neural coding. I’m interested in applications of linear algebra, abstract algebra, and discrete math.

Publications

黑料社区

  

  • Morrison, K., Degeratu, A., Itskov, V., Curto, C. (2024). Diversity of emergent dynamics in competitive threshold-linear networks. SIAM Journal on Dynamical Systems, 23(1), 855-884.. DOI:
  • Curto, C., Morrison, K. (2023). Graph rules for recurrent network dynamics. Notices of the American Mathematical Society, 70(4).
  • Curto, C., Geneson, J., Morrison, K. (2023). Stable fixed points of combinatorial threshold-linear networks. Advances in Applied Mathematics, 154.
  • Parmelee, C., Moore, S., Morrison, K., Curto, C. (2022). Core motifs predict dynamic attractors in combinatorial threshold-linear networks. PLOS ONE, 17, 1-21.
  • Parmelee, C., Alvarez, J. L., Curto, C., Morrison, K. (2022). Sequential attractors in combinatorial threshold-linear networks. SIAM J. Appl. Dyn. Syst., 21(2), 1597-1630.
  • Curto, C., Morrison, K. (2019). Relating network connectivity to dynamics: opportunities and challenges for theoretical neuroscience. Curr Opin Neurobiol, 58, 11-20.
  • Curto, C., Gross, E., Jeffries, J., Morrison, K., Rosen, Z., Shiu, A., Youngs, N. (2019). Algebraic signatures of convex and non-convex codes. J. of Pure and Appl. Algebra.
  • Curto, C., Geneson, J., Morrison, K. (2019). Fixed Points of Competitive Threshold-Linear Networks. Neural computation, 31(1), 94-155.. DOI:
  • Burzynski, A., Anderson, S., Morrison, K., Patrick, M., Orr, T., Thelan, W. (2018). Lava lake thermal pattern classification using self-organizing maps and relationships to eruption processes at Kīlauea Volcano, Hawaii.. DOI:
  • Curto, C., Gross, E., Jeffries, J., Morrison, K., Omar, M., Rosen, Z., Shiu, A., Youngs, N. (2017). What makes a neural code convex? SIAM J. Appl. Algebra and Geometry, 1, 222-238.
  • Curto, C., Morrison, K. (2016). Pattern Completion in Symmetric Threshold-Linear Networks. Neural computation, 28(12), 2825-2852.. DOI:
  • Gluesing-Luerssen, H., Morrison, K., Troha, C. (2015). Cyclic Orbit Codes and Stabilizer Subfields. Advances in Math. of Commun., 9(2), 177-197.
  • Morrison, K. (2015). Enumeration of Equivalence Classes of Self-Dual Matrix Codes. Advances in Math. of Commun., 9(4), 415-436.

黑料社区

  • Morrison, K., Degeratu, A., Itskov, V., Curto, C. (2024). Diversity of emergent dynamics in competitive threshold-linear networks. SIAM Journal on Dynamical Systems, 23(1), 855-884.. DOI:
  • Curto, C., Morrison, K. (2023). Graph rules for recurrent network dynamics. Notices of the American Mathematical Society, 70(4).
  • Curto, C., Geneson, J., Morrison, K. (2023). Stable fixed points of combinatorial threshold-linear networks. Advances in Applied Mathematics, 154.
  • Parmelee, C., Moore, S., Morrison, K., Curto, C. (2022). Core motifs predict dynamic attractors in combinatorial threshold-linear networks. PLOS ONE, 17, 1-21.
  • Parmelee, C., Alvarez, J. L., Curto, C., Morrison, K. (2022). Sequential attractors in combinatorial threshold-linear networks. SIAM J. Appl. Dyn. Syst., 21(2), 1597-1630.
  • Curto, C., Morrison, K. (2019). Relating network connectivity to dynamics: opportunities and challenges for theoretical neuroscience. Curr Opin Neurobiol, 58, 11-20.
  • Curto, C., Gross, E., Jeffries, J., Morrison, K., Rosen, Z., Shiu, A., Youngs, N. (2019). Algebraic signatures of convex and non-convex codes. J. of Pure and Appl. Algebra.
  • Curto, C., Geneson, J., Morrison, K. (2019). Fixed Points of Competitive Threshold-Linear Networks. Neural computation, 31(1), 94-155.. DOI:
  • Burzynski, A., Anderson, S., Morrison, K., Patrick, M., Orr, T., Thelan, W. (2018). Lava lake thermal pattern classification using self-organizing maps and relationships to eruption processes at Kīlauea Volcano, Hawaii.. DOI:
  • Curto, C., Gross, E., Jeffries, J., Morrison, K., Omar, M., Rosen, Z., Shiu, A., Youngs, N. (2017). What makes a neural code convex? SIAM J. Appl. Algebra and Geometry, 1, 222-238.
  • Curto, C., Morrison, K. (2016). Pattern Completion in Symmetric Threshold-Linear Networks. Neural computation, 28(12), 2825-2852.. DOI:
  • Gluesing-Luerssen, H., Morrison, K., Troha, C. (2015). Cyclic Orbit Codes and Stabilizer Subfields. Advances in Math. of Commun., 9(2), 177-197.
  • Morrison, K. (2015). Enumeration of Equivalence Classes of Self-Dual Matrix Codes. Advances in Math. of Commun., 9(4), 415-436.

Grants and Sponsored Research

  • Jameson, M. (Principal), Lewis, J. (Co-Principal), Karakok, G. (Co-Principal), Morrison, K. (Supporting), “Improving Productive Mathematical Dispositions of Pre-Service Elementary Teachers,” Sponsored by NSF-IUSE Track 1 Level 1, Federal, $299,988.00. (May 1, 2023 – April 30, 2026).
  • Morrison, K., “Collaborative Research: Emergent sequences from recurrent network motifs,” Sponsored by National Science Foundation, $319,340.00. (August 2020 – July 2024).
  • Morrison, K., “Math + Neuroscience: Strengthening the interplay between theory and mathematics,” Sponsored by The Institute for Computational and Experimental Research in Mathematics. (September 2023 – December 2023).
  • Morrison, K. (Co-Principal), Curto, C. (Principal), “Emergent Dynamics from Network Connectivity: A Minimal Model,” Sponsored by NIH BRAIN Initiative, Federal, $1,100,000.00. (September 2016 – June 2019).