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(2013) L. Ambrosio, M. Colombo, G. De Philippis, A. Figalli Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case Comm. 2023 Wiki Biography & Celebrity Profiles as wikipedia, Sun Zhenni Wiki, Biography, Age, Net Worth, Family, Instagram, Twitter, Social Profiles & More Facts, Jodie Fields (Cricketer) Wiki, Biography, Age, Husband, Family, Net Worth, Aleksey Chuklin (Racing Driver) Wiki, Biography, Age, Wife, Family, Net Worth. It is the most important example of a free boundary problem, where mathematicians consider how a process like the diffusion of heat makes a boundary move. In the 1790s Gaspard Monge had a problem. We welcome any additional information. The Stefan problem is a foundational example for an entire subfield of math where boundaries move. But with a little imagination, it is easy to conceive of scenarios where sharp spots emerge. So the opportunities in theory and application are just as diverse. Chemistry Nobel Prize Honors Technique for Building Molecules. But they are confident that the results will lay the groundwork for advances on numerous other problems. El 2012, va guanyar el Premi i Curs Peccot i el Premi EMS. Amongst his several recognitions, Figalli has won an EMS Prize in 2012, he has been awarded the Peccot-Vimont Prize 2011 and Cours Peccot 2012 of the Collge de France and has been appointed Nachdiplom Lecturer in 2014 at ETH Zrich. But it still wouldnt last more than an instant. Save my name, email, and website in this browser for the next time I comment. service of the NDSU Department of Mathematics, in association with the American Mathematical Society. Prof. Dr. Alessio Figalli Contact information ETH Zurich Prof. Dr. Alessio Figalli FIM Director Department of Mathematics HG G 45.2 Rmistrasse 101 8092 Zurich Switzerland alessio.figalli@math.ethz.ch Assistant Linda Scales +41 44 632 3451 linda.scales@math.ethz.ch Academic purposes After being awarded a postdoctoral position at the Massachusetts Institute of Technology, Venkatesh served as a C.L.E. We added the information below. He has a pure loving kind heart personality. The equations work well, but its taken 130 years to prove that they conform to obvious facts about reality. In particular, together with Francesco Maggi and Aldo Pratelli, he proved a sharp quantitative version of the anisotropic isoperimetric inequality. Whilst there is undoubtably an overlap between the skillsets required to participate at a high school math competition and obtaining the Fields Medal, there are a large number (indeed, the majority I believe) of Fields medalists that ha. Von Neumann et al. The question was whether the two fronts near these points collapsed at the same time. This shape forms because it bridges the two rings with the least amount of surface area, making it an example of what mathematicians call a minimal surface. But by just the second day, they had made some real progress. The second kind of singularity was even more mysterious. Theres now more intensive contact to schools and public life, and he has taken on new tasks in research. Students: The equations might describe an ice-water boundary that forms into a forest of cusps, for example, or a sharp snowflake that stays perfectly still. 41 (5): 1890-1920 (2009) The next birthday of Alessio Figalli is on 02 April, 2023. They go beyond the parabolic scaling, said Sandro Salsa of the Polytechnic University of Milan. If you choose randomly a time, then the probability of seeing a singular point is zero, Ros-Oton said. Want to know Alessio Figalli's Height Weight in Feet-Inch or Meter-Centimeter? Nature Computational Science 1 (6), 403-409, 2021. This was something that was originally proposed by people in meteorology, and then in some sense Alessio managed to do deep pure mathematics, Caffarelli said. By playing the video you accept the privacy policy of YouTube. In Italian mathematics there is a long history of studying what are called minimal surfaces, which are shapes that minimize some quantity. Fargo, North Dakota 58108-6050, Mathematics Subject Classification: 49Calculus of variations and optimal control, Scuola Normale Superiore di Pisa and cole Normale Suprieure de Lyon, Optimal Transportation and Action-Minimizing Measures, Instituto Superior Tcnico and University of Texas at Austin. They look the way they do symmetric and polygonal because for crystalline materials, that is the shape that uses the least amount of energy. In 2009 he moved to the University of Texas at Austin as an associate professor. [1] El 2015 la Medalla Stampacchia,[2]i el 2017 el Premi Feltrinelli. The question of how ice melts in water is called the Stefan problem, named after the physicist Josef Stefan, who posed it in 1889. Suppose you have a solution to the soap film equations that describes the shape of the film between two boundary surfaces, like the set of two rings. The Mathematician with a large number of Twitter followers, with whom he shares his life experiences. As we do not have all data currently, we keep some fields blank which we will update soon. The mathematician Alessio Figalli is rarely in one place for very long. Woods Memorial Prize for being the leading graduating student of the year. At times they grew quick and excited as they played out the consequences of some promising new suggestion. Prior to the Fields Medal, I had never given a lecture before the general public. Alessio Figalli Net Worth & Basic source of earning is being a successful Italian Mathematician. Share your thoughts in the comment section. Figalli completed his undergraduate degree in two years. I never felt like a pop star. Otherwise, it would mean that the ice melting model was a spectacular failure one that had fooled generations of mathematicians into believing it was more solid than it is. There may have wrong or outdated info, if you find so, please let us know by leaving a comment below. On 11 September 2019 at the, hosted by ETH Zurich he will discuss with other experts which skills and knowledge are required in the high-tech working world of the future (catchword Artificial Intelligence), and what that entails for higher education. I was always an optimizer, I wanted the best for the least effort.. He learned quickly and caught up to his peers within a year. You can decide this piece goes here, that piece goes there. The same year, Venkatesh wasawarded the J. My career just came naturally from that. [5] He has won the 2015 edition of the Stampacchia Medal, and the 2017 edition of the Feltrinelli Prize for mathematics. Alessio Figalli ( Roma, 2 aprile 1984) un matematico italiano, attivo principalmente nello studio del calcolo delle variazioni e delle equazioni differenziali alle derivate parziali, vincitore della Medaglia Stampacchia nel 2015, del Premio Feltrinelli Giovani nel 2017 e della medaglia Fields nel 2018 . In 2018 he won the Fields Medal "for his contributions to the theory of optimal transport, and its application to partial differential equations, metric geometry, and probability". He has a very plain, friendly personality, which I think is a good ingredient of his success.. They also proved that their inequality is the optimal one, meaning it places a strict limit on the extent to which the additional energy will distort the shape of the crystal. Technische Hochschule Zrich. The reason is that for soap film, the sphere is the most stable shape its the shape that takes up the least amount of surface area and thus requires the least energy to maintain. Lecture Notes in Mathematics 2171 Steve Wright Quadratic Residues and Non-Residues Selected Topics Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Michel Brion, Grenoble Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark . Alessio Figalli has a net worth of $5.00 million (Estimated) which he earned from his occupation as Mathematician. He masters them with a joyful outlook and optimism. But because space is three-dimensional, you can graph the temperature in three different directions leading away from the singularity, not just one. Since winning the medal, Figalli has been working more closely on topics that concern the development, effects and communication of mathematics. Alessio Figalli Born (1984-04-02) 2 April 1984(age 38) Rome, Italy Nationality Italian Alma mater University of Pisa Scuola Normale Superiore di Pisa cole normale suprieure de Lyon Spouse(s) Mikaela Iacobelli Awards Prix and Cours Peccot(2012) EMS Prize(2012) Stampacchia Medal(2015) Feltrinelli Prize(2017) Fields Medal(2018) Scientific career Maybe it makes sense to split one wagonload between two destinations. In 2004 Ambrosio took him on as a graduate student and also arranged for him to study under Cdric Villani, a talented mathematician in Lyon, France, who would go on to win the Fields Medal himself a few years later. He used optimal transport techniques to get improved versions of the anisotropic isoperimetric inequality, and obtained several other important results on the stability of functional and geometric inequalities. After all, you do not cut yourself on sharp edges when you pull a piece of ice from a glass of water. In an interview, Venkatesh said, I decided that I wanted to be a professional mathematician towards the end of my undergraduation. He also said that while going into his PhD, he wasnt sure that he wouldbe able to find a job as a mathematician. But mathematicians would like to precisely quantify that stability. mathematician, please use the new The marital status of Alessio Figalli is: Yet to update. Mancano prof di matematica, Alessio Figalli: "Il mondo oggi vive di numeri e algoritmi. You can probably picture the way it starts to melt. If you spot a cloud in the sky and watch how it changes shape, youll see that it changes gradually. And while a soap film stays put, the line between ice and water is always in motion. The info about Alessio Figalli's net worth, wiki, bio, career, height, weight, family, affairs, car, salary, age, and other details are based on Wikipedia, IMDb, Forbes, Instagram, and Facebook of Alessio Figalli. Imagine that you start with a perfect crystal and then deform it slightly through heating. to help pay for student help and other associated costs. Snowflakes in the model may not be impossible, but they are extremely rare and entirely fleeting. Eidgenssische Explore Alessio Figalli Wiki Age, Height, Biography as Wikipedia, Wife, Family relation. Complete chaos, said Figalli, who won the Fields Medal, maths highest honor, in 2018. Major Quantum Computing Advance Made Obsolete by Teenager, the International Congress of Mathematicians. Alessio Figalli earned his doctorate in 2007 under the supervision of Luigi Ambrosio at the Scuola Normale Superiore di Pisa and Cdric Villani at the cole Normale Suprieure de Lyon. You can scroll down for information about his Social media profiles. He likes to be around other people, and other people like to be around him. Moderators are staffed during regular business hours (New York time) and can only accept comments written in English. Alessio Figalli Net Worth. Surface tension will pull the film as taut as possible, forming it into a shape called a catenoid a kind of caved-in cylinder. Born in Delhi and raised in Perth, Akshay Venkatesh is one of the youngest mathematicians to win the prestigious Fields Medal, Mathematics top honour, also known as the Nobel Prize for Maths. Take a piece of ice in the shape of an hourglass and submerge it. He also worked on HamiltonJacobi equations and their connections to weak KolmogorovArnoldMoser theory. But just before that moment, it will form a sheetlike singularity, a two-dimensional wall as sharp as a razor. As the ice melts, the waist of the hourglass becomes thinner and thinner until the liquid eats all the way through. One year ago on 1 August 2018 he won the external pageFields Medalcall_made, which is considered the Nobel Prize of Mathematics. Alessio Figalli Figalli at Oberwolfach, 2016 Born (1984-04-02) 2 April 1984(age 38) Rome, Italy Nationality Italian Alma mater University of Pisa Scuola Normale Superiore di Pisa cole normale suprieure de Lyon Spouse Mikaela Iacobelli Awards Prix and Cours Peccot(2012) EMS Prize(2012) Stampacchia Medal(2015) Feltrinelli Prize(2017) He regarded it as an easy subject, something he was good at without having to work hard, and it took him a while to pursue the subject with any zeal. Department of Mathematics The connection is a bit mysterious, Serra said. Figallis first major result as a mathematician had to do with proving the stability of these types of energy-minimizing shapes. Alessio Figalli is now able to devote himself to networking with top international mathematicians as the director of the Institute for Mathematical Research (FIM) as well. However, Caffarellis result was only a worst-case scenario. : Not Known. How Alessio Figalli experienced the previous year. In 2007, he was appointed Charg de recherche at the French National Centre for Scientific Research, and in 2008 he went to the cole polytechnique as Professeur Hadamard. When physicists say a soap bubble is stable, they mean that if you nudge it slightly, it only wavers slightly the nudge doesnt induce a dramatic change in shape. When is Alessio Figalli's next birthday? Visit the official Facebook, Instagram, Twitter, Wikipedia, and YouTube accounts of Alessio Figalli. In 2018 he won the Fields Medal for his contributions to the theory of optimal transport, and its application to partial differential equations, metric geometry, and probability. Monge made some headway on the problem, but then it languished for more than a century. Its a weird feeling, Ive never experienced it. It wasnt until the 1980s and 1990s that mathematicians began to recognize that optimal transport was a mathematically deep question in its own right and also a tool that they might use to solve other kinds of problems. contribute, please donate online using credit card or bank transfer or mail your tax-deductible contribution to: Mathematics Genealogy Project Imagine a paraboloid composed of a sequence of parabolas stacked side by side. Heres a glimpse of Akshay Venkateshs life in his own words. [6], Figalli has worked in the theory of optimal transport, with particular emphasis on the regularity theory of optimal transport maps and its connections to MongeAmpre equations. A Read also: Cristian Lizzori Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family. Instead, hes often in England, where his wife, Mikaela Iacobelli, is a mathematician at Durham University. Now imagine that the two versions of the crystal are positioned next to each other. Caffarelli proved singularities exist in the mathematics of melting ice. The general result about the Monge-Ampre equation allowed them to then prove the regularity of the semigeostrophic equations, which are used in meteorology to model the movement of weather fronts. The first proved the regularity of the Monge-Ampre equation, which is found throughout geometry. I like drawing pictures. Soap films are modeled by their own unique set of equations. Since then some . He has also served as an associate professor at the Courant Institute of Mathematical Sciences at New York University. The other three who won the 2018 Fields Medal are Alessio Figalli from ETH Zurich in Switzerland, who is an Italian; Caucher Birkar from Cambridge, a Kurdish man who came to Britain as a refugee; and Peter Scholze from Bonn University, who is German. Abstract. It established the maximum size of the potential singularities, but it said nothing about how often singularities actually occur in the equations, or how long they last. In the end, they proved this is in fact how the scenario plays out in the equations. G. De Philippis, A. Figalli \(W^{2,1}\) regularity for solutions of the Monge-Ampere equation Invent. He was born in Rome on April 02, 1984. Amongst the results he obtained in this direction, there stand out an important higher integrability property of the second derivatives of solutions to the MongeAmpre equation and a partial regularity result for MongeAmpre type equations, both proved together with Guido De Philippis. Scroll Down and find everything about him. He was born in Rome on April 02, 1984. Figalli liked math from an early age. Or to divide your pile into wheelbarrow loads, or to break it down by the shovelful, sending each one to a unique, carefully chosen destination. Alessio Figalli. With crystals, for instance, he sketched some of the most extreme ways a crystal could deform under heating, knowing that an eventual stability proof would have to account for those cases. He likes to be around other people, and other people like to be around him. Optimal Transport - Viscosity Solutions of Monge-Ampere2018 Fields Medal Peter Scholze - Professor, University of Bonn - ICM 2018Partial Differential EquationsAlessio Figalli2018fields(obstacle problems)Savin Monge Ampere 1The Monge-Ampere Equation 1 . Vystudoval matematiku na univerzit v Pise, absolvoval roku 2006. More information. They began to work through their various ideas at a blackboard. I loved that. Yet Figalli, Ros-Oton and Serra realized that very similar singularities form along the melting boundary between ice and water. Young Mathematician Alessio Figalli Received One of Europe's Highest Honors Wednesday, 25 July 2012 Daniel J Oppenheimer Mathematics Mathematician Alessio Figalli, who recently received one of Europe's highest honors, has been solving difficult mathematical problems at a prodigious clip. Title. Alessio Figalli. Workshop in honor of Alessio Figalli's Doctor Honoris Causa at UPC Five talks and a Round Table with Prof. Alessio Figalli. After decades of effort, mathematicians now have a complete understanding of the complicated equations that model the motion of free boundaries, like the one between ice and water. [11], In addition, he has given several contributions to the Di PernaLions' theory, applying it both to the understanding of semiclassical limits of the Schrdinger equation with very rough potentials,[12] and to study the Lagrangian structure of weak solutions to the VlasovPoisson equation. As a kid Figalli liked to play soccer, watch cartoons, and hang out with his friends and, he recalls, he always made the rational decision to get his homework done first, so that he could fully enjoy himself. The Work of Alessio Figalli Allyn Jackson In the extremely active area of optimal transport theory, which has at-tracted some of the top minds in mathematics, Alessio Figalli stands out as a major leader and innovator. Select from premium Alessio Figalli of the highest quality. And since they chose the point randomly, they could conclude that all points on the film must look like a smooth plane when you peer at them up close. Sometimes in mathematics, things develop in unexpected ways.. Alessio Figalli (born 2 April 1984) is an Italian mathematician working primarily on calculus of variations and partial differential equations. This is one of those problems that naturally exhibits singularities, said Giuseppe Mingione of the University of Parma. #WorkshopFigalliFME Speakers: Five spanish and catalan mathematicians who have worked (or still working ) with Prof. Alessio Figalli: Xavier Cabr (UPC-ICREA), Xavier Ros-Oton (Universitt Zrich), Joaquim Serra (ETH Zrich), Matteo Bonforte (Universidad Autnoma de . More than two centuries later, Figalli leads a community of mathematicians who have recognized that disparate mathematical problems will yield if you view them as the best way of moving a pile of dirt from one place to another. One describes the diffusion of heat from the warm water into the cool ice, which shrinks the ice while causing the region of water to expand. In 1998, under Peter Sarnak, he commenced his PhDat the age of 17 at Princeton University, which he completed in 2002 at the age of 21. This somehow confirms the intuition, said Daniela De Silva of Barnard College. Alessio is unbelievably quick, Jerison later said. But when Caffarelli zoomed in on the frozen boundary between ice and water, he sometimes saw something totally different: frozen spots surrounded almost entirely by warmer water. Alessio Figalli has been awarded the Fields medal for "his contributions to the theory of optimal transport and his applications in partial differential equations, metric geometry and probability". Figalli was born in Rome in 1984. To do that, they needed a comprehensive understanding of all the different types of singularities that could possibly form. You dont have feedback, not even from your friends.. Alessio Figalli (Italian:[alesjo fiali] ; born 2 April 1984) is an Italian mathematician working primarily on calculus of variations and partial differential equations. Wiki Biography & Celebrity Profiles as wikipedia. Popularly known as the Mathematician of Italy. Since then some things have changed in his everyday life both professional and private. When he was 2-years-old, his family moved to Perth in Australia from Delhi; where he attended Scotch College. Source : Alessio Figalli The University of Texas at Austin: Austin, TX, US 2013-09 to 2016-08 | Full Professor and R. L. Moore Chair (Mathematics) Employment Show more detail Source : Alessio Figalli The University of Texas at Austin: Austin, TX, US 2011-09 to 2013-08 | Full Professor (Mathematics) Employment Show more detail There Figalli quickly confronted the limits of his education: At 18 he was sitting in math classes with the top students in Italy and he didnt even know how to take a derivative. How old is Alessio Figalli? Maybe there is some pain, but its not apparent. Alessio entered the career as Mathematician In his early life after completing his formal education.. That is a simple fact. These sharp spots are called singularities, and, it turns out, they are as ephemeral in the free boundaries of mathematics as they are in the physical world. What is the physical condition of Alessio Figalli? Given some starting conditions a description of the initial temperature of the water and the initial shape of the ice its possible to run the model indefinitely to describe exactly how the temperature (or a closely related quantity called the cumulative temperature) changes with time. You might be interested to know more about Alessio Figalli. . I came from classics, my high school was not a scientific one, I was studying Latin, Greek, Philosophy, everything but Maths. You translate the question from understanding the shape of an object to understanding the transport map.. Personal Homepage of Prof. Dr. Alessio Figalli Curriculum vitae Personal information Born: April 1984, Rome (Italy) Languages: Italian (native), English and French (fluent), Spanish (intermediate), German (basic) Citizenship: Italian citizen, Swiss permanent resident Civil status: married Download full CV as PDF Download short CV as PDF For many years, mathematicians have tried to understand the complicated models of these evolving boundaries. In 2019 he received the Doctorate Honoris Causa from the Polytechnic University of Catalonia too. When facing any new problem, Figalli likes to begin by developing a geometric sense of how the problem behaves. If you were to describe the evolution of the cloud mathematically, youd like to see the same thing: As you gradually change the inputs to an equation, the output of the equation (which represents the shape of the cloud) changes only gradually as well. So, in this article, we discussed all information about Alessio Figalli's net worth, wiki, bio, career, height, weight, family, pics, affairs, car, salary, age, and other details in 2023. This overview was generated by a machine learning system which analysed the scientist's body of work. Read related article Tom Parker for Quanta Magazine Fields Medal Akshay Venkatesh: A Number Theorist Who Bridges Math and Time 01:41 He is seen as one of the most successful Mathematician of all times. In this table, we added the education information of Alessio Figalli. In work completed in 2007 and published in 2010, Figalli, Maggi and Aldo Pratelli gave a quantitative proof of the stability of energy-minimizing shapes like crystals and soap bubbles. Answer: When I was an undergraduate, I came to the conclusion that pretty much everything worthwhile in mathematics had already been done, mostly in the 19th century or earlier. He didnt [stand out] because he had a gap to recover compared to these highly trained colleagues, said Luigi Ambrosio, a mathematician at the Scuola Normale and Figallis graduate school adviser. Born on 2 April 1984, the Mathematician Alessio Figalli is arguably the worlds most influential social media star. Using this fact, they showed that these singularities are isolated in space and time. Roku 2018 obdrel Fieldsovu medaili . If you have additional information or The young Italian mathematician is tall, fit and stylish, his R's rolling off the tongue with an intoxicating Roman richness. ETH Zurich. That was a completely new world to me, adds Figalli, I had to find a different way of thinking to explain what a mathematician does in a way that could be understood. In the meantime he has come to value public appearances just as much as lectures to an academic audience. North Dakota State University His oeuvre, comprising around 150 publica-tions, would be remarkable for a mathematician of retirement age; that he They realized that whenever you want to compare two shapes which is something mathematicians often want to do you can learn something by thinking about the most efficient, or optimal, way of converting one into the other. (In fact, the equations can also describe the situation where the ice is so cold that it causes the surrounding water to freeze but in the present work, the researchers ignore that possibility.). Alessio looked a bit embarrassed, and I found this very nice because hes really humble. A second equation tracks the changing interface between ice and water as the melting process proceeds. Rather than zooming in on a soap film, he figured out how to zoom in on the boundary between ice and water. She is an affiliate faculty member at the Moore Sloan Data Science Environment at the NYU Center for Data Science, a 2019 Reynolds Journalism Institute Fellow, and her work has been supported by New America, the Institute of Museum & Library Services, and the Tow Center at Columbia Journalism School. Unlike soap films, which always look smooth, melting ice really does exhibit singularities. In 1995, at the age of 13, Venkatesh entered theUniversity of Western Australiaas the youngest ever student at the institution,where he went straight into second-year maths courses after proving that he could write the exam papers for all the first-year subjects. ", Civil, Environmental and Geomatic Engineering, Humanities, Social and Political Sciences, Information Technology and Electrical Engineering. There was no such deep and precise understanding of this phenomenon previously.. Do you wanna know Alessio Figalli's full Biodata? As the name suggests, optimal transport theory is about finding the best way of moving a distribution of things . In physical terms, regularity means that a system evolves in a smooth way. He maintains a frenetic travel schedule he claims hes relatively unaffected by jetlag and also frequently hosts other mathematicians in Zurich. Its quantitative in a sharp way, Maggi said. He is 39 years old. In other words, they couldnt rule out the possibility that the model might output nonsense. Figalli now wants to continue this tradition. These results open a new perspective on the field, said Maria Colombo of the Swiss Federal Institute of Technology Lausanne. Alessio Figalli. We proved if the size of the added energy is some given amount, then the distance from the perfect shape will be at most this other amount. Luigi Ambrosio, Gianluca Crippa, Alessio Figalli, Laura V. Spinolo: Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System. Amongst his several recognitions, Figalli has won an EMS Prize in 2012, he has been awarded the Peccot-Vimont Prize 2011 and Cours Peccot 2012 of the Collge de France and has been appointed Nachdiplom Lecturer in 2014 at ETH Zrich. 5126 14. Mathematics is very important for the current challenges in computer sciences and financial technology, says Figalli. The Scuola Normale Superiore di Pisa, where he studied, honoured him with a external pagesymposiumcall_made and ETH Zurich programmed an external pagehonorary lecturecall_made which was fully booked in a mere 70 minutes. He was able to transport these methods from the minimal surface theory of de Giorgi to this more general setting.. Abusive, profane, self-promotional, misleading, incoherent or off-topic comments will be rejected. By 2019, Figalli, Ros-Oton and Serra had figured out a remarkable way to find out more. Its the physical reality that tells you that. He has won the 2015 edition of the Stampacchia Medal, and the 2017 edition of the Feltrinelli Prize for mathematics. Im not telling this to anyone, which means as a result you dont really realize it, said Figalli, a professor at the Swiss Federal Institute of Technology Zurich, back in April. Since 2016, he is a chaired professor at ETH Zrich. Partial Differential Equations (2012)