Dr. Joseph Dorta
Assistant Professor
joseph.dorta@westpoint.edu
Biography
Dr. Joseph Dorta serves as an Assistant Professor in the Department of Mathematical Sciences at West Point. He completed his doctorate in Mathematics at Louisiana State University under the advisement of Dr. Pramod N. Achar (2024). He received his B.S. and M.S. in Mathematics from the University of Georgia (2015,2018). His research interests in pure mathematics are focused on geometric representation theory and applications of representation theory to hyperplane arrangements. His research in applied mathematics spans the realms of motion planning, topological robotics, math in art and literature, and algebraic reasoning in teaching. He serves as Officer representative to West Point's men's handball team.
Publications & Presentations
Publications
- "Monoidal structures on generalized polynomial categories", Proceedings of the 6th international applied category theory conference, with Samantha Jarvis and Nelson Niu, arXiv:2305.05655
- "The Generalized Modular Springer Correspondence for the Symplectic Group." (In Preparation)
- "Interesting Representations of Hyperplane Arrangements" with Yongho Lee (In Preparation)
- "Math in Art and Literature: Mathematical Nabokov" (In Preparation)
Invited Talks
- 6th International Conference on Applied Category Theory (ACT) 2023
- Joint Mathematics Meeting – AMS Special Session on Applied Category Theory 2023
- MSRI Summer School New Directions in Representation Theory 2022
- Mathematical Research Community Workshop in Applied Category Theory 2022
Seminar Talks
- Louisiana State University
- Vertically Integrated Research Program (MATH 4997) 2018, 2019, 2020, 2021, 2022, 2023,2024
- Harmonic Analysis and Representation Theory Seminar 2022
Conferences and Workshops
- MSRI/SLMath Hot Topics: Artin Groups and Arrangements-Topology, Geometry, and Combinatorics
- MSRI Summer School New Directions in Representation Theory 2023
- Applied Algebraic Topology Research Network (AATRN) 2022, 2023
- Topological Complexity Seminar 2021, 2022, 2023
- BIRS-CMO Workshop, “Topological Complexity and Motion Planning” 2021
- Paul J. Sally, Jr. Midwest Representation Theory Conference 2020, 2022
- Ordered Structures in Geometry and Analysis Workshop 2019
Conferences Co-organized
- 35th Automorphic Forms Workshop 2022
- Southern Regional Number Theory Conference 2019, 2022, 2023, 2024
- Bayou Arithmetic Research Days (BARD) 2019, 2022, 2023