About me
I am currently a NSF MSPRF research postdoc under the supervision of Prof. Xavier Tolsa at Universitat Autonoma de Barcelona working in geometric measure theory and harmonic analysis. I received my PhD under the supervision of Prof. Max Engelstein and Prof. Svitlana Mayboroda at ETH Zurich in 2024. Here is the most recent copy of my CV (updated October 2026).
You may be interested in the IRP in free boundaries I am co-organizing this fall.
Research articles/preprints
- Cantor sets with absolutely continuous harmonic measure. (with Guy David and Antoine Julia). J. Ec. Polytech. Math. 10, (2023)
- Non-local distance functions and geometric regularity. (with Max Engelstein and Svitlana Mayboroda). Adv. Math. 445 (2024)
- Small-constant uniform rectifiability. J. Geom. Anal. 34, (2024)
- On the number of nodal domains of homogeneous caloric polynomials. (with Matthew Badger). Ann. H. Lebesgue 9, (2026)
- Singular set estimates for solutions to elliptic equations in higher co-dimension. (with Max Engelstein and Yannick Sire). Proc. Lond. Math. Soc. 132 (2026)
- Elliptic unique continuation below the Lipschitz threshold. Submitted for publication.
- Optimal rates of decay at infinity for solutions to Schrodinger equations. (with Blair Davey). Submitted for publication.
- Failure of dimension drop for harmonic measure on Ahlfors regular boundaries of dimension close to 1. (with Yingying Cai and Xavier Tolsa).
- Failure of dimension drop for harmonic measure on Ahlfors regular flat boundaries. (with Yingying Cai and Xavier Tolsa).
I am currently supported by the NSF. All views expressed on this page are mine alone, and do not represent those of the NSF or UAB.