Je suis en thèse à Polytechnique Montréal en mathématiques appliquées, après avoir étudié à l'École Polytechnique à Palaiseau.
Je travaille sur des problèmes de conception d'horaires personnalisés, de modélisation des préférences et de conception de mécanismes.
J'ai lancé www.Science4All.org, un site d'articles de vulgarisation scientifique de qualité, auquel tout candidat ou diplômé d'un Master ou doctorat peut contribuer.
A consortium of today's greatest mathematicians have laid out new foundations. They all lie upon one single axiom, called univalence. With univalence, our Arabic numbers aren't just like natural numbers; They are natural numbers. Univalence also has unforeseen and mesmerizing consequences.
In this article, we explore the possibilities allowed by higher inductive types. They enable a much more intuitive formalization of integers and new mind-blowing definitions of the (homotopical) circle and sphere.
In 2013, three dozens of today's brightest minds have laid out new foundations of mathematics, which better fits both informal and computationally-checkable mathematics. Have a primer of this upcoming revolution, with this article on type theory, the theory that the book builds upon!
Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many couldn't figure out. While John Nash did answer yes, he couldn't say how. Finally in 2012, Borrelli and his collaborators finally made it! And it is spectacularly beautiful!
From the destruction of bridges and buildings to the foundations of electromagnetism and quantum mechanics, through their uses by radios or our ears,resonance is a counter-intuitive underlying phenomenon which shapes our reality. But amazingly, they can be made visual by playing with head massagers!
In 1988, Euler's identity was elected most beautiful theorem of mathematics. It has been widely taught worldwide. But have you ever stopped to really sense the meaning of this incredible formula? This article does.
In recent years, at the interface of game theory, control theory and statistical mechanics, a new baby of applied mathematics was given birth. Now named mean-field game theory, this new model represents a new active field of research with a huge range of applications! This is maths in the making!
In 2006, Pluto was officially demoted from its planetary status. When we dig a little bit, this isn't much of the surprise. What's more interesting is rather why it ever was regarded as a planet, as the History of Pluto highlights a magic enterprise that science is!
We all intuitively think of ourselves as independent creatures with strong free will. However, many disturbing experiments about fashion, conformity, obedience, environment, choice and opinions have been troubling this idea we make of ourselves. These ought to be lessons of humility for all of us.
Designing routes to visit customers has become one of applied mathematicians' favorite optimization problems, as companies offer millions to solve them! This article discusses the clever technics they have come up with, and use them to help Santa deliver toys to kids all over the world!
In 2010, a controversial article published in Nature violently criticized the last 40 years of developments in evolutionary biology, triggering an ongoing war within the scientific community. This article explains the essence of the controversy!
Last summer, I got to discover Morellet's artwork on inclined grids. Amazingly, this artwork is a display of the irrationality of ?2! It's also a strong argument for the existence of this number. In this article, after discussing that, I take readers further!
The second law of thermodynamics is my favorite law in physics, mainly because of the troubling puzzles it raises! Indeed, what your professors may have forgotten to tell you is that this law connects today's world to its first instant, the Big Bang! Find out why!
My first reaction to imaginary numbers was... What the hell is that? Even now, I have trouble getting my head around these mathematical objects. Fortunately, I have a secret weapon: Geometry! This article proposes constructing complex numbers with a very geometrical and intuitive approach.
According to Matthew Colless, the most important aspect of science is beauty. Not only is it what inspires scientists and their quests, I'd even claim that it's also the compass that guide them in their quests, in a deeper and more surprising way that one can imagine!
Our eyes are amazing! Even today's cameras are nowhere near competing with them. However, the recent development of high dynamic range (HDR) and tone mapping technologies creates new possibilities to get images nearly as awesome as what our eyes really see!
I was a kid when I was first introduced to the deceptively simple utilities problem. It's only lately that I've discovered its solution! And it's an amazing one! It is nothing less than the gateway to the wonderful world of algebraic topology!
1+2+4+8+16+...=-1, as proven by Henry Reich on Minute Physics! Now, as a mathematician, I must say that his proof is far from being rigorous. Surprisingly though, his proof can be rigorously and naturally justified!
How does the scientific method really work? It's probably more complicated than you think. In this article, we apply it rigorously to "prove" ?=3. This will highlight the actually mechanism of the scientific method, its limits, and how much messages of experiments are often deformed!
As explained by Derek Muller on Veritasium, the flow of water in trees involves complex physical phenomena including pressure, osmosis, negative pressure, capillarity and evapotranspiration. What seems simple will blow your mind!