Research

Preprints:

• Diffeological Principal Bundles and Principal Infinity Bundles (2022)

Publications:

• Categorical Models for Path Spaces (2021) - joint with Manuel Rivera and Mahmoud Zeinalian, accepted in Advances in Mathematics.

Talks:

Introduction to Diffeological Spaces (2022): - Slides

Open Problems and Research Directions in Diffeology (2022): - Slides

Introduction to Homotopy Type Theory for Topologists (2022): - Slides

Category Theory ∩ Differential Geometry: - Slides / Video

Undergraduate Research:

• Smocked Metric Spaces and their Tangent Cones (2019), Sormani et. al. - published in Missouri J. of Mathematical Sci. (2019)

• Bachelor's Math Thesis under Dragomir Saric, spring 2018: Conformal Modulus and Extremal Families.

• Bachelor's Economics Thesis under Núria Rodríguez-Planas, spring 2018: Automation and Income Inequality.

• CUNY Student Undergraduate Research Project, summer 2017 - Three Dimensional Aperiodic Photonic Crystals