Hello! I am a senior mathematics major at MIT. I am interested in differential geometry, topology, and Lie groups.

Publications and Preprints

1. Adams, C., Bonat, A., Chande, M., Chen, J., Jiang, M., Romrell, Z., Santiago, D., Shapiro, B. and Woodruff, D., 2022. Hyperbolic Knotoids. European Journal of Mathematics,10,43
2. Adams, C., Bonat, A., Chande, M., Chen, J., Jiang, M., Romrell, Z., Santiago, D., Shapiro, B. and Woodruff, D., 2022. Generalizations of Knotoids and Spatial Graphs. Mathematical Proceedings of the Cambridge Philosophical Society, 177,67-102
3. Alvarado, C.A., Ozuch, T. and Santiago, D. , 2022. Families of degenerating Poincare-Einstein metrics on R^4. Annals of Global Analysis and Geometry,65,5.
4. Adams, C., and Santiago, D., 2023. Composition Properties of Hyperbolic Links in Handlebodies. New York Journal of Mathematics, 29, 1097-1116.
5. Law, M., Lopez, I., and Santiago, D., 2023. Positive mass and Dirac operators on weighted manifolds and smooth metric measure spaces. Journal of Geometry and Physics

Expository Writing

1. The Spherical Bernstein Problem in S^3. Final paper for the Seminar in Geometry Course at MIT.