Contact Information:
Email: ncastro [dot] math [at] rice [dot] edu
Office: SCEN 313, Department of Mathematical Sciences, University of Arkansas
Here is my CV (Updated Aug. 2021)

I am a Postdoctoral Instructor at Rice University.  I am interested in all areas of low-dimensional Topology. More specifically, I am interested in trisections of smooth 4-manifolds (with and without boundary), generic maps and Lefschetz fibrations on 4-manifolds, symplectic and contact topology, open book decompositions of 3-manifolds, and anything to do with Heegaard splittings of 3-manifolds.  My thesis work focused on trisections of smooth 4-manifolds with boundary.

Prior to my current position, I was Visiting Assistant Professor at the University of Arkansas and a UC Davis Chancellor’s Postdoctoral Fellow.  I received my Ph.D. from the University of Georgia in May 2016 under the direction of David Gay. I received the University of Georgia 2017 Graduate Student Excellence-in-Research Award in the Mathematical and Physical Sciences.

I am also a senior scholar of the Southern Regional Education Board (SREB) Doctoral Scholars Program, a program which aims to increase the number of minority Ph.D. students who seek careers in academia.