Overview
Hello! I am an NSF MPS-Ascend Postdoctoral Research Fellow in the mathematics department at Duke. My sponsoring scientist is Adam Levine.
I work in low-dimensional topology and gauge theory, with applications to bordered and Heegaard Floer homologies, 3-manifolds, exotic structures on 4-manifolds, and knots. I am always happy to chat about opportunities for collaboration.
Next semester (Spring 2025), I will be splitting my time between Duke and Rutgers. My sponsoring scientist at Rutgers is Kristen Hendricks. You can reach me by email.
I work in low-dimensional topology and gauge theory, with applications to bordered and Heegaard Floer homologies, 3-manifolds, exotic structures on 4-manifolds, and knots. I am always happy to chat about opportunities for collaboration.
Next semester (Spring 2025), I will be splitting my time between Duke and Rutgers. My sponsoring scientist at Rutgers is Kristen Hendricks. You can reach me by email.
Current Appointments & Affiliations
Phillip Griffiths Assistant Research Professor
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Correction terms of double branched covers and symmetries of immersed curves
Preprint · August 5, 2024 CiteTwisted Mazur Pattern Satellite Knots & Bordered Floer Theory
Journal Article Michigan Mathematical Journal · May 1, 2023 We use bordered Floer theory to study properties of twisted Mazur pattern satellite knots Qn(K). We prove that Qn(K) is not Floer homologically thin, with two exceptions. We calculate the 3-genus of Qn(K) in terms of the twisting parameter n and the 3-genu ... Full text CiteG -Corks and Heegaard Floer homology
Journal Article Journal of Knot Theory and Its Ramifications · October 1, 2019 In [D. Auckly, H. J. Kim, P. Melvin and D. Ruberman, Equivariant corks, Algebr. Geom. Topol. 17(3) (2017) 1771-1783], Auckly-Kim-Melvin-Ruberman showed that for any finite subgroup G of SO(4) there exists a contractible smooth 4-manifold with an effective ... Full text CiteEducation, Training & Certifications
Brandeis University ·
2017
Ph.D.