Associated Researcher
I got my PhD on May 14th, 2021 from UAM under Marie Skłodowska-Curie fellowship at Conflex project. My research interests are focused on the control-theoretical aspects of free boundary problems arising in fluid mechanics, and more recently, deep learning from a mathematical control perspective.

Borjan Geshkovski  is an Associated Researcher from UAM – Universidad Autónoma de Madrid under a Marie Skłodowska-Curie fellowship at Conflex Project. He earned a MSc in Mathematics at the University of Bordeaux, during which he did an internship on the topic “Obstacle problems: theory and Applications” within the DyCon team.

He got his PhD in Control Theory under the supervision of Prof. Enrique Zuazua (FAUUniversity of Deusto and Universidad Autónoma de Madrid).

  • MSc in Applied Mathematics (2016 – 2018). Université de Bordeaux, France
  • BSc in Applied Mathematics and Computer Science (2012 – 2016). Université de Bordeaux, France

Master’s Thesis. Obstacle Problems: Theory and Applications

Advisor: Prof. Enrique Zuazua
Abstract: In this master thesis, we present a study of the analytical and optimal control properties for the elliptic and parabolic obstacle problems. The obstacle problem is one of the simplest and most physically relevant free boundary problems. From a mathematical perspective, similar questions as for classical partial differential equations (well-posedness, regularity, optimal control) are addressed, as well as the conception of appropriate numerical schemes and computer simulations of the these problems. This work was supported by the Advanced Grant DyCon (Dynamic Control) of the European Research Council Executive Agency (ERC).

Master's Thesis PDF

Released

Null-controllability of perturbed porous medium gas flow

B. Geshkovski,Null-controllability of perturbed porous medium gas flow. ESAIM:COCV, vol. 26, No. 85 (2020). DOI: 10.1051/cocv/2020009 Abstract: In this work, ...
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Accepted

Controllability of one-dimensional viscous free boundary flows

B. Geshkovski, E. Zuazua. Controllability of one-dimensional viscous free boundary flows. Siam. J. Control. Optim (2021), Vol. 59, No. 3, ...
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Submitted

Optimal actuator design via Brunovsky’s normal form

B. Geshkovski, E. Zuazua, Optimal actuator design via Brunovsky's normal form (2021) Abstract: In this paper, by using the Brunovsky ...
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Large-time asymptotics in deep learning

Esteve C., Geshkovski B., Pighin D., Zuazua E. Large-time asymptotics in deep learning (2021). hal-02912516 Abstract. It is by now well-known ...
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Control and Deep Learning: Some connections

B. Geshkovski, E. Zuazua.  Control and Deep Learning: Some connections (2021) This note is an extended abstract for a talk ...
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Sparse approximation in learning via neural ODEs

Esteve C., Geshkovski B. Sparse approximation in learning via neural ODEs (2021) Abstract. We consider the continuous-time, neural ordinary differential equation ...
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Turnpike in Lipschitz-nonlinear optimal control

Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control (2020) Abstract. We present a new ...
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Awarded the “Best Review and Presentation Prize” at the second ConFlex workshop held in Bilbao, from February 11 to 21, 2019

Meet our team!