Daniele Gerosa

I have a PhD in Mathematics from Lund University, Center for Mathematical Sciences (where, among other beautiful minds, Lars Hörmander, Lars Gårding and Marcel Riesz spent most of their worklives). I was supervised by Marcus Carlsson (Lund University). My research was focused on some aspects of compressed sensing, non-convex optimization and low-rank matrix recovery.

I am currently working as Algorithm Developer for Bosch Sensortech in Lund.

My personal email address is gerosa.dan at gmail dot com

Short CV

• September 2017 - April 2022. PhD in Mathematics at Lunds Universitet (Sweden), Centre for Mathematical Sciences.

  As part of departmental duties I work as teaching assistant in several courses. So far I led more than 450 hours of exercises sessions (Analysis in One Variable, Linear Algebra II, Analysis in Several Variables I & II). Grading of exams and mid-term assignments is part of teaching duties too.

  In Sweden doctoral education consists also in a certain number of advanced courses to be attended (60 ECTS at least). I have so far attended the following: specialized course in Distributions Theory (classical Pseudo-Differential Operators theory, Paradifferential Calculus), specialized course in Linear Functional Analysis, advanced course in Calculus of Variations, Convex Analysis, X-Ray Optics, Introduction to Deep Learning, Image Analysis, Machine Learning, Nonparametric Inference, Teaching and Learning in Higher Education.

• September 2015 - July 2017. MSc in Mathematics at Università degli Studi di Padova (Italy).

  Thesis advisor: prof. Roberto Monti.

  Thesis title: Trace theorem for the Martinet distribution.

• August 2015 - December 2015. Exchange student at Universitetet i Bergen (Norway).

• September 2011 - July 2015. BSc in Mathematics at Università degli Studi di Padova (Italy).

  Thesis advisor: prof. Roberto Monti.

  Thesis title: Gromov-Hausdorff metric and existence of geodesics.

I have been a student of Collegio Universitario don Nicola Mazza for the entire period of my Italian academic education.

Manuscripts & Publications

• A Trace Theorem for Martinet-type Vector Fields, with Roberto Monti and Daniele Morbidelli, 2021. Communications in Contemporary Mathematics, 23(2) 1950066 [cvgmt, arXiv, eprint]
• An unbiased approach to compressed sensing, with Marcus Carlsson and Carl Olsson, 2020. Inverse Problems, 36(11). [arXiv, eprint]
• Bias Versus Non-Convexity in Compressed Sensing, with Marcus Carlsson and Carl Olsson, 2022. Journal of Mathematical Imaging and Vision, 64(4), 379-394. [eprint]
• On phase retrieval via matrix completion and the estimation of low rank PSD matrices, with Marcus Carlsson, 2019. Inverse Problems, 36(1). [arXiv, eprint]
• An un-biased approach to low rank recovery, with Marcus Carlsson and Carl Olsson, 2019. To appear in SIAM Journal on Optimization. [arXiv]
• Relaxations for Non-Separable Cardinality/Rank Penalties, with Carl Olsson and Marcus Carlsson, 2021. Accepted to the ICCV workshop ‘‘Robust Subspace Learning and Applications in Computer Vision’’ (October 2021). [arXiv, ICCV]

Conferences, Workshops & Seminars

• 15-17 May 2018, Lund. CodeRefinery Workshop.
• 16-17 October 2018, Uppsala. Swedish eScience Academy. Here my poster.
• 4 April 2019, Lund. Inverse problems in X-ray phase retrieval and tomography.
• 6-17 July 2020. SIAM Conference on Imaging Science (Virtual).
• 29 September 2020. Department seminar, Lund University. Here the slides of my talk.
• 11 October 2021. Talk given at the Fourth Workshop on '’Robust Subspace Learning and Applications in Computer Vision’’.

Random stuff I wrote

• My Bachelor thesis (in Italian).
• My Master thesis.
• My PhD thesis.
• Abstract and notes on the surjectivity of the trace operator that I have written for a seminar.
• Notes on the sharp Gårding inequality. The proof is, more or less verbatim, the one in Lars Hörmander’s Analysis of Linear Partial Differential Operators. I added some comments and expanded some “obscure” steps.
• An invitation to Quantum Tomography, a brief note written for a presentation.
• One dimensional retina vision problem. Report and presentation.
• The Concentration-Compactness principle.
• Exercises compendium. To appear.

Interests

Mathematics, cinema, philosophy of language, music, Years of Lead, memes, YouTube trash, weird videos.