Research Interests
Research Interests
My research interests lie in dynamical systems, particularly interactions between ergodic theory and analytic number theory. I am also interested in symbolic dynamics.
Embedded Files
Publications
Publications
Loyd, K. A dynamical approach to the asymptotic behavior of the sequence Ω(n). Ergodic Theory and Dynamical Systems, 43(11), 3685-3706, 2023. doi: 10.1017/etds.2022.81.
Loyd, K. and Mondal, S. Ergodic averages along sequences of slow growth. Journal of the London Mathematical Society, 111(3): e70124, 2025. doi: 10.1112/jlms.70124.
A brief detour to algebraic topology..
A brief detour to algebraic topology..
Before getting interested in dynamical systems, I spent time thinking about algebraic objects relevant to algebraic topology.
Here is a pre-print of work on Mackey Functors, written as part of the REU at the University of Chicago in 2017.
Seminar and Conference Talks
Seminar and Conference Talks
Aug 2025 AMS Fall Western Sectional Meeting, University of Denver
Mar 2025 Spring Topology and Dynamics Conference, Christopher Newport University
Nov 2024 Ergodic Theory and Dynamical Systems Seminar, University of Warwick
Oct 2024 Ergodic Theory and Dynamical Systems Seminar, University of Zurich
Jun 2024 Pointwise Ergodic Theory and Connections Conference, University of Bristol
Apr 2024 Workshop on Dynamical Systems, University of Maryland
Apr 2024 Dynamical Systems Seminar, University of Maryland
Oct 2023 Analysis Seminar, Virginia Tech
Oct 2023 Low Complexity Dynamical Systems Conference, University of Maryland
Sep 2023 Ergodic Theory and Analysis Seminar, Rutgers University (online)
Apr 2023 Chicago Action Now Conference, University of Illinois Chicago
Feb 2023 IAS Special Year Seminar, Institute for Advanced Study
Nov 2022 Midwest Dynamical Systems Conference, IUPUI
May 2022 AMS Spring Western Sectional Meeting, University of Denver (online)
May 2022 Midwest Dynamical Systems Early Career Conference, University of Notre Dame
Nov 2021 Dynamical Systems Seminar, Northwestern University
Aug 2017 Young Mathematician’s Conference, The Ohio State University
Expository Talks
Expository Talks
May 2024 Association for Women in Mathematics Seminar, Northwestern University
Arnold’s Cat Map
Apr 2024 Graduate Student Seminar, Northwestern University
Prime Factors via Dynamical Systems
Aug 2023 Dynamical Systems REU Colloquium, Northwestern University
Interactions between Ergodic Theory and Number Theory
Apr 2022 Undergraduate Math Society, Northwestern University
Dynamical Systems via Cats (and Ghosts?)
Conferences Attended
Conferences Attended
Aug 2025 AMS Fall Western Sectional Meeting (Speaker), University of Denver
Aug 2025 Research Groups in Analysis (Lightning Talk Speaker), University of Pennsylvania
Jun 2025 Perspectives on Ergodic Theory and its Interactions, IMPAN, Poland
Apr 2025 Workshop on Dynamical Systems, University of Maryland
Mar 2025 Spring Topology and Dynamics Conference (Speaker), Christopher Newport University
Aug 2024 Trends in Ergodic Theory, Northwestern University
Jun 2024 Pointwise Ergodic Theory and Connections (Speaker), University of Bristol
Apr 2024 Workshop on Dynamical Systems (Speaker), University of Maryland
Oct 2023 Low Complexity Dynamical Systems (Speaker), University of Maryland
Jun 2023 Nilpotent Structures in Ergodic Theory, IMPAN, Poland
Apr 2023 Chicago Action Now (Speaker), University of Illinois Chicago
Nov 2022 Combinatorial and Geometric Approaches on Dynamics, University of Chile
Nov 2022 Midwest Dynamical Systems (Speaker), IUPUI
May 2022 Midwest Dynamical Systems: Early Career, Notre Dame
May 2022 Ergodic Theory and its Connections: Michael Boshernitzan, Rice University
May 2022 AMS Spring Western Sectional Meeting (Speaker), University of Denver
2020-2021 Expanding Dynamics Online Conference Series, University of Chile
May 2020 Ergodic Theory With Applications to Continued Fractions, University of North Carolina at Greensboro
Page updated
Report abuse