Leyter Potenciano Machado's homepage


"A mathematician is a device for turning coffee into theorems"

Alfréd Rényi

Current position

Data Scientific

Elisa Oyj / Elisa IndustrIQ

Helsinki - Finland

leyter.m.potenciano@gmail.com / ext-leyter.potenciano@elisa.fi

About me

I am originally from Perú, a lovely country in South America. I got my bachelor's degree in Mathematics at the Universidad Nacional Mayor de San Marcos in Perú. Later I moved to Spain to carry out my postgraduate studies. I got my Ph.D. in Mathematics at the Universidad Autónoma de Madrid in 2017 under the supervision of professor Alberto Ruiz. I also worked as a postdoctoral researcher at the University of Jyväskylä in the Inverse problem group led by Prof. Mikko Salo.


My research interest lies in the Inverse Problems field. During my Ph. D, I studied stability estimates when determining coefficients from magnetic Schrödinger type operators in bounded domains when the measurements are restricted to the boundary's subsets. During my postdoctoral period, I studied resolvent estimates and inverse scattering problems associated with the magnetic Schrödinger operator. Recovering sound speeds and potentials in linear and nonlinear wave equations was also part of my research.


On my hobbies part, I love playing the ball game called futsal. My favorite team is Athletic Bilbao. I also enjoy reading books and watching Mangas.



Research interest

I recently moved to the private sector. I am working as a Data Scientific at Elisa InddustrIQ to develop mathematical models for early anomaly detection in manufacturing semiconductors. The project is sponsored by the Finnish Cultural Foundation under the PoDoCo program.


My research interest lies in Mathematical and Geometrical Analysis and their applications. I am focused on studying Inverse Problems arising from physical phenomena and their applications in the industrial sector. Nowadays, I am mainly focused on combining inverse problem techniques with Artificial Intelligence and Machine Learning tools with a special emphasis on applications. My research topics include:


  • Inverse Calderón's problem type and its applications.

  • Partial and local inverse problems for Schrödinger and Maxwell type operators: determination of coefficients and stability estimates.

  • Inverse scattering problems for magnetic Schrödinger operators: determination of coefficients from fixed angle data.

  • Inverse problems related to nonlinear wave operators: determination of coefficients and stability estimates.

  • Inverse problems in differential geometry: determination of coefficients and stability estimates.

  • Early anomaly detection by using Radon and Geodesic ray transform invariant features.