Email: nacastro [at] uark [dot] edu
Office: SCEN 313, Department of Mathematical Sciences, University of Arkansas
I am a Visiting Assistant Professor at the University of Arkansas in Fayetteville, AR. 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 a 2016-2018 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.