Jacob Cleveland

Research

My research interests are in topology, category theory, and engineering. Specifically differential topology, Morse Theory, cellular sheaves, parametric graphs, tropical geometry, and space networking. I enjoy taking theoretical constructions and applying them to engineering problems in the form of code.

I. Selected Publications

• Michael Moy; Alan Hylton; Robert Kassouf-Short; Jacob Cleveland; Jihun Hwang; Justin Curry; Mark Ronnenberg; Miguel Lopez; Oliver Chiriac. A Proposed Clock Synchronization Method for the Solar System Internet. (IEEE AeroConf 2024) Paper
• Cleveland, Jacob; Hylton, Alan; Kassouf-Short, Robert; Pedersen, Jacob. Evaluating Tropical Geometric Routing in Emulated Space Networks. (IEEE AeroConf 2024) Paper
• Cleveland, Jacob; Cooperband, Zoe; Moy, Michael; Short, Robert. On the Current State of Sheaf-Theoretic Networking. Invited Paper for IEEE WiSEEE 2022. Paper
• Cleveland, Jacob; Conricode, Dominic; Kirkpatrick, Yael; Kortas, Nadia; Moy, Michael; Piekenbrock, Matthew; Short, Robert; Hylton, Alan. Contact Multigraph Routing: Overview and Implementation. IEEE AeroConf 2023. Paper
• Cleveland, Jacob; Short, Robert; Hylton, Alan. Tropical Geometric Route Decision-Making in Simulated Lunar Gateway Communications. IEEE IPCCC 2022. Paper
• Moy, Michael; Cleveland, Jacob; Short, Robert; Hylton, Alan. Multigraph-based Routing in Delay Tolerant Networks: An Alternative to Contact Graph Routing. IEEE IPCCC 2022. Paper
• Cleveland, Jacob; Hylton, Alan; Short, Robert; Mallery, Brendan; Green, Robert; Curry, Justin; Dabke, Devavrat; Freides, Olivia. Introducing Tropical Geometric Approaches to Delay Tolerant Networking Optimization. IEEE AeroConf 2022. Paper
• Hylton, Alan; Short, Robert; Cleveland, Jacob; Freides, Olivia; Memon, Zander; Cardona, Robert; Green, Robert; Mallery, Brendan; Curry, Justin; Gopalakrishnan, Sriram; Dabke, Devavrat; Story, Brittany; Moy, Michael. A Survey of Mathematical Structures for Lunar Networks. IEEE AeroConf 2022. Paper
• Short, Robert; Hylton, Alan; Cleveland, Jacob; Moy, Michael; Cardona, Robert; Green, Robert; Mallery, Brendan; Curry, Justin; Bainbridge, Gabriel; Memon, Zander; Freides, Olivia. Sheaf Theoretic Models for Routing in Delay Tolerant Networks. IEEE AeroConf 2022. Paper
• Hylton, Alan; Raible, Daniel; Short, Robert; Cleveland, Jacob; Nowakowski, John. New Horizons for a Practical and Performance Optimized Solar System Internet. IEEE AeroConf 2022.  Paper
• Green, Robert; Cardona, Robert; Cleveland, Jacob; Ozbolt, Joseph; Hylton, Alan; Short, Robert; Robinson, Michael. Dude Where's My Stars: A Novel Topologically Justified Approach to Star Tracking. IEEE AeroConf 2021. Paper
• Short, Robert; Hylton, Alan; Cardona, Robert; Green, Robert; Bainbridge, Gabriel; Moy, Michael; Cleveland, Jacob. Towards Sheaf Theoretic Analyses for Delay Tolerant Networking. IEEE AeroConf 2021. Paper

II. Preprints

• William Bernardoni, Robert Cardona, Jacob Cleveland, Justin Curry, Robert Green, Brian Heller, Alan Hylton, Tung Lam, and Robert Kassouf-Short. Algebraic and Geometric Models for Space Networking. (arXiv 2023). Paper
• Cleveland, Jacob; Mallery, Brendan; Hylton, Alan; Short, Robert. Tropical Technical Memorandum. (NASA NTRS 2021). Paper
• Moy, Michael; Cardona, Robert; Green, Robert; Cleveland, Jacob; Hylton, Alan; Short, Robert Path Optimization Sheaves. (arXiv 2020). arXiv