Eric Ramos (eramos3)

Eric Ramos

Assistant Professor

Charles V. Schaefer, Jr. School of Engineering and Science

Department of Mathematical Sciences

North Building 314
(201) 216-3774
Website

Education

  • PhD (2017) University of Wisconsin - Madison (Mathematics)
  • BS (2012) Carnegie Mellon University (Mathematics)
  • MS (2012) Carnegie Mellon University (Mathematics)

Research

My research interests are in combinatorial and computational algebra. I often incorporate probabilistic techniques and simulations in my work.

General Information

Eric came to Stevens after NSF sponsored postdocs at the University of Michigan, and the University of Oregon, as well as two years spent as a tenure track professor at Bowdoin College. Eric Received a combined BS/MS from Carnegie Mellon University, and a Ph.D. in Mathematics from the University of Wisconsin. He has published over 30 papers in theoretical and applied mathematics, and has received two highly competitive grants from the National Science Foundation.

Experience

Professor Ramos is an educator in the mathematical sciences with over a decade experience teaching students at the undergraduate and graduate level. He has mentored dozens of students in mathematimatical research, leading to a number of published works. As a researcher, Professor Ramos has authored over 30 papers spanning a number of mathematical disciplines including algebra, combinatorics, probability, and computation. He has disseminated this work as an invited speaker at almost 100 conferences and seminars.

Institutional Service

  • Laboratory for Artificial Intelligence in Mathematics Education Member
  • SES Faculty Advisory Council Member

Professional Service

  • Math Reviews from the AMS Reviewer
  • American Mathematical Society Focus group member
  • Referee
  • Society for industrial and applied mathematics Co-Organizer
  • Baruch College co-PI

Appointments

I was an NSF sponsored postdoctoral fellow at the University of Michigan as well as the University of Oregon. Most recently, I spent two years as a tenure-track assistant professor at Bowdoin College in Brunswick Maine. I am currently a Tenure-Track Assistant Professor at Stevens

Professional Societies

  • Stevens Laboratory for Artificial Intelligence in Mathematics Education Senior member
  • SIAI – Stevens Institute for Artificial Intelligence Member
  • SIAM – Society for industrial and applied mathematics Member
  • AMS – American Mathematical Society Member

Grants, Contracts and Funds

In the past, I was supported by NSF Grants DMS-1704811 and DMS-2137628.

Selected Publications

Conference Proceeding

  1. Knudsen, B.; Ramos, E. (2024). Robertson's Conjecture in Algebraic Topology.
  2. Pawlowski, B.; Ramos, E.; Rhoades, B. (2020). Spanning Configurations and Matroidal Representation Stability.

Journal Article

  1. Knudsen, B.; Ramos, E. (2024). Robertson’s conjecture and universal finite generation in the homology of graph braid groups. Selecta Mathematica (5 ed., vol. 30). Springer Science and Business Media LLC.
    https://doi.org/10.1007/s00029-024-00971-1.
  2. Ramos, E.; White, G. (2024). Excessive symmetry can preclude cutoff. Linear Algebra and its Applications (vol. 699, pp. 277-294). Elsevier BV.
    https://doi.org/10.1016/j.laa.2024.06.025.
  3. Miyata, D.; Ramos, E. (2023). The graph minor theorem in topological combinatorics. Advances in Mathematics (vol. 430, pp. 109203). Elsevier BV.
    https://doi.org/10.1016/j.aim.2023.109203.
  4. Matherne, J. P.; Miyata, D.; Proudfoot, N.; Ramos, E. (2023). Equivariant Log Concavity and Representation Stability. International Mathematics Research Notices (5 ed., vol. 2023, pp. 3885-3906). Oxford University Press (OUP).
    https://doi.org/10.1093/imrn/rnab352.
  5. Pawlowski, B.; Ramos, E.; Rhoades, B. (2023). Spanning subspace configurations and representation stability.
  6. Proudfoot, N.; Ramos, E. (2022). The contraction category of graphs. Representation Theory of the American Mathematical Society (23 ed., vol. 26, pp. 673-697). American Mathematical Society (AMS).
    https://doi.org/10.1090/ert/616.
  7. Levin, D. A.; Ramos, E.; Young, B. (2022). A Model for Random Braiding in Graph Configuration Spaces. International Mathematics Research Notices (7 ed., vol. 2022, pp. 5564-5600). Oxford University Press (OUP).
    https://doi.org/10.1093/imrn/rnab008.
  8. Proudfoot, N.; Ramos, E. (2021). Stability phenomena for resonance arrangements. Proceedings of the American Mathematical Society, Series B (18 ed., vol. 8, pp. 219-223). American Mathematical Society (AMS).
    https://doi.org/10.1090/bproc/71.
  9. Ramos, E. (2021). Hilbert series in the category of trees with contractions.
  10. Li, L.; Ramos, E. (2021). Local cohomology and the multigraded regularity of FIm-modules.
  11. Ramos, E.; Speyer, D.; White, G. (2020). FI–sets with relations. Algebraic Combinatorics (5 ed., vol. 3, pp. 1079-1098). Cellule MathDoc/CEDRAM.
    https://doi.org/10.5802/alco.128.
  12. Ramos, E. (2020). An application of the theory of FI-algebras to graph configuration spaces.
  13. Ramos, E. (2019). Configuration Spaces of Graphs with Certain Permitted Collisions. Discrete & Computational Geometry (4 ed., vol. 62, pp. 912-944). Springer Science and Business Media LLC.
    https://doi.org/10.1007/s00454-018-0045-6.
  14. Ramos, E.; White, G. (2019). Families of nested graphs with compatible symmetric-group actions. Selecta Mathematica (5 ed., vol. 25). Springer Science and Business Media LLC.
    https://doi.org/10.1007/s00029-019-0520-9.
  15. Proudfoot, N.; Ramos, E. (2019). Functorial invariants of trees and their cones. Selecta Mathematica (4 ed., vol. 25). Springer Science and Business Media LLC.
    https://doi.org/10.1007/s00029-019-0509-4.
  16. Ramos, E. (2018). Asymptotic behaviors in the homology of symmetric group and finite general linear group quandles. Journal of Pure and Applied Algebra (12 ed., vol. 222, pp. 3858-3876). Elsevier BV.
    https://doi.org/10.1016/j.jpaa.2018.02.011.
  17. Ramos, E. (2018). Homological invariants of FI-modules and FI -modules. Journal of Algebra (vol. 502, pp. 163-195). Elsevier BV.
    https://doi.org/10.1016/j.jalgebra.2017.12.037.
  18. Li, L.; Ramos, E. (2018). Depth and the local cohomology of FIG-modules. Advances in Mathematics (vol. 329, pp. 704-741). Elsevier BV.
    https://doi.org/10.1016/j.aim.2018.02.029.
  19. Ramos, E. (2018). Stability phenomena in the homology of tree braid groups.
  20. Ramos, E. (2017). On the degree-wise coherence of FIG-modules.
  21. Ramos, E. (2017). Generalized representation stability and _{}-modules. Proceedings of the American Mathematical Society (11 ed., vol. 145, pp. 4647-4660). American Mathematical Society (AMS).
    https://doi.org/10.1090/proc/13618.
  22. Feng, T.; James, K.; Kim, C.; Ramos, E.; Trentacoste, C.; Sue, H. (2013). Three-Selmer groups for elliptic curves with 3-torsion.
  23. Bigelow, S.; Ramos, E.; Yi, R. (2012). THE ALEXANDER AND JONES POLYNOMIALS THROUGH REPRESENTATIONS OF ROOK ALGEBRAS. Journal of Knot Theory and Its Ramifications.

Magazine/Trade Publication

  1. Ramos, E. (2022). The graph minor theorem meets algebra. Notices of the American Mathematical Society.

Courses

MA549, Logical Knowledge Representation and Reasoning
MA620, Intro Network & Graph Theory
MA441, Introduction to Mathematical Analysis
MA125/126, Vectors and Matrices / Multivariate Calculus I
MA574, Foundational Mathematics for Data Science