Assistant professor in mathematics at Princeton University

I joined the mathematics department at Princeton University
on Feb. 1^{st}, 2016 as an instructor, then as an
assistant professor July 1^{st}, 2018. I interact
closely with PACM (the program in applied mathematics).

I am an applied mathematician working on **optimization**,
**statistical estimation** and **numerical
analysis**. Much of what I do is related to nonconvex
optimization and optimization on manifolds. For the latter, I
develop a
toolbox called Manopt. A reference in this field is the
book Optimization
Algorithms on Matrix Manifolds.

Research topics:

- Nonconvex optimization (computational complexity, global optimality)
- Optimization on Riemannian manifolds
- Synchronization (estimation from pairwise information)
- Semidefinite programs and relaxations in low-rank form
- Low-rank optimization
- Statistical estimation, notably under group actions
- Single particle reconstruction in cryo-electron microscopy
- curve fitting on manifolds

Positions prior to Princeton:

- Postdoc at Inria in Paris, affiliated with the computer science department of the Ecole Normale Supérieure with Alexandre d'Aspremont in the SIERRA team, working on topics at the intersection of optimization and statistics. (Oct. 2014–Jan. 2016);
- Ph.D. student working with Pierre-Antoine Absil and Vincent Blondel at UCLouvain, in the department of mathematical engineering. My dissertation is about optimization and estimation on manifolds. (Oct. 2010–Sep. 2014).

Fine Hall, Dptmt of Mathematics

Washington Road

Princeton, NJ 08540

United States

Office: 607 (6

E-mail: nboumal@math.princeton.edu

At UCLouvain, my office mate was Romain
Hollanders.

In Paris, my office mates were Amit Bermanis, Damien Scieur and Vianney Perchet.

My Erdös number is 3, courtesy of my co-author and PhD advisor Vincent Blondel.

Research will get you places! It got me in: Palo Alto, Boston, Princeton, London, Prague, Cannes, Lisbon, Milan, Dagstuhl, Granada, Sierra Nevada, Valencia, Berlin, Les Houches, Costa da Caparica, Paris, Florence, San Diego, Bordeaux, Montréal, Bonn, Pittsburgh, Oxford, Geneva, New York City, Barcelona, Vancouver, Ames, Minneapolis, Washington DC, Stockholm, Lausanne, Oaxaca, Villars-sur-Ollon... and various places in Belgium (Louvain-la-Neuve, Leuven, Liège, La Roche, Mons, Knokke, Daverdisse, Spa, Namur, Bruxelles...).

In Paris, my office mates were Amit Bermanis, Damien Scieur and Vianney Perchet.

My Erdös number is 3, courtesy of my co-author and PhD advisor Vincent Blondel.

Research will get you places! It got me in: Palo Alto, Boston, Princeton, London, Prague, Cannes, Lisbon, Milan, Dagstuhl, Granada, Sierra Nevada, Valencia, Berlin, Les Houches, Costa da Caparica, Paris, Florence, San Diego, Bordeaux, Montréal, Bonn, Pittsburgh, Oxford, Geneva, New York City, Barcelona, Vancouver, Ames, Minneapolis, Washington DC, Stockholm, Lausanne, Oaxaca, Villars-sur-Ollon... and various places in Belgium (Louvain-la-Neuve, Leuven, Liège, La Roche, Mons, Knokke, Daverdisse, Spa, Namur, Bruxelles...).

- Linear algebra with applications (MAT202), Spring 2016, 2017
- Numerical methods (MAT321), Fall 2016, 2017, 2018, 2019, lecture notes
- Junior seminar (optimization on manifolds, MAT982), Spring 2018
- Junior seminar (math of data science through cryo-electron microscopy, MAT982), Fall 2018
- Junior seminar (math of data science, MAT982), Fall 2019
- Optimization on smooth manifolds (graduate course, MAT588), Spring 2019, 2020

- Mathématiques 1 (FSAB1101), TA, autumn 2008, autumn 2009
- Projet 1 (FSAB1501), TA, autumn 2010
- Théorie des Matrices (INMA2380), TA, spring 2011, autumn 2013
- Signaux et Systèmes (LFSAB1106), TA, autumn 2011
- Analyse numérique : approximation, interpolation, intégration (LINMA2171), TA, autumn 2011 and 2012
- Mathématiques 2 (LFSAB1102), TA, spring 2012
- Modélisation et analyse des systèmes dynamiques (LINMA2370), TA, autumn 2012
- Projet en ingénierie mathématique (LINMA2360), TA, spring 2012 and 2013
- Projet en mathématiques appliquées (LINMA1375), TA, spring 2013
- Systèmes dynamiques non linéaires (LINMA2361), TA, autumn 2013

To be available soonish: a first draft of my introductory
lecture notes for optimization on smooth manifolds. In the
meantime, feel free to reach out by e-mail to ask for a
private PDF copy.