Please agree and read more about our, A Traveler Who Finds Stability in the Natural World. But his work has established the stability of everything from crystals to weather fronts by using concepts derived from Napoleonic fortifications. We first present a novel and general solution method for the case of a single trade (a metaorder) that is . Then, in a joint work with Eric Carlen, he addressed the stability analysis of some GagliardoNirenberg and logarithmic HardyLittlewoodSobolev inequalities to obtain a quantitative rate of convergence for the critical mass KellerSegel equation. That's how Alessio Figalli feels too. Which is why the secret he has had to keep has been so hard for him. ETH Zurich. What is the physical condition of Alessio Figalli? [5] He has won the 2015 edition of the Stampacchia Medal, and the 2017 edition of the Feltrinelli Prize for mathematics. Take a look at the following table for more information. Its quantitative in a sharp way, Maggi said. You can make your unit of transport infinitely small in your quest to find the optimal way to move material around and this is where analysis comes in, as an extended form of calculus, the study of change on infinitely small or large scales. service of the NDSU Department of Mathematics, in association with the American Mathematical Society. Alessio does not show any pain, Ambrosio said. Alessio Figalli (* 2. dubna 1984 m) je italsk matematik. Alessio Figalli with a crystal-like model at Durham University in England. Quick on the essential issues, and quick on isolating an important point that is going somehow to yield information for us.. Alessio is gaining More popularity of his Profession on Twitter these days. El 2012, va guanyar el Premi i Curs Peccot i el Premi EMS. 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 . This posed an additional challenge that another mathematician would tackle later. You translate the question from understanding the shape of an object to understanding the transport map.. Roku 2018 obdrel Fieldsovu medaili . It doesnt rupture into a dramatically new shape. Accordingly, ETH Zurich has already followed his proposal and elected the two Fields medal winners Martin Hairer (Imperial College London) and Akshay Venkatesh (Institute for Advanced Study Princeton) as well as the Research Director of the CNRS, Viviane Baladi, as new members of the FIM Advisory Board. Consider, again, an ice cube in a glass of water. 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 2022. Anthony Ledford. Perhaps if you started with a huge ice block built entirely out of hourglasses, a snowflake might form. Which is amazing.. Math. At the end, a presentation of some selected applications of optimal transport is given. 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. This overview was generated by a machine learning system which analysed the scientist's body of work. I just keep on living my normal life, he says, Research remains an important part of that because it made me the person I am today. Do you want to know whether Alessio Figalli is married or unmarried? Amongst these is European Research Council grantee Prof. Alessio Figalli working at ETH Zrich (Switzerland), who received an ERC Consolidator Grant in 2016. In 1977, Luis Caffarelli reinvented a mathematical magnifying glass for the Stefan problem. It took almost 100 years until, in the 1970s, mathematicians proved that these equations have a solid foundation. North Dakota State University to help pay for student help and other associated costs. 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. He is seen as one of the most successful Mathematician of all times. He was able to transport these methods from the minimal surface theory of de Giorgi to this more general setting.. 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. This was a revelation for me. With his large number of social media fans, he often posts many personal photos and videos to interact with his huge fan base on social media platforms. In Zurich he lives in a furnished apartment on a hillside above the campus. Nature Computational Science 1 (6), 403-409, 2021. After being awarded a postdoctoral position at the Massachusetts Institute of Technology, Venkatesh served as a C.L.E. The birthplace of Alessio Figalli is Rome. Alessio Figalli is a Mathematician. Singularities are defined as points where the temperature is zero degrees Celsius and paraboloids describe the temperature at and around the singularity. Alessio Figallis life has changed since he was awarded the Fields Medal one year ago. They were walking home from a bar at around one in the morning when Maggi realized that maybe they could use a theorem called the trace inequality to overcome the last barriers to a proof. Maybe it makes sense to split one wagonload between two destinations. : Not Known. At other moments theyd be silent for a minute or more after they realized that the idea didnt work, Jerison seated with his head in his hands, Figalli leaning against the wall, trying to figure out where to go next. Monge made some headway on the problem, but then it languished for more than a century. In this section, we discussed his height-weight along with his eyes and hair colors. Therefore, anywhere the paraboloid equals zero you have a singularity. Yet Figalli, Ros-Oton and Serra realized that very similar singularities form along the melting boundary between ice and water. But to anyone who looked closely, Figallis promise was apparent. Vystudoval matematiku na univerzit v Pise, absolvoval roku 2006. In 2016 he was awarded a European Research Council (ERC) grant, and in 2018 he received the Doctorate Honoris Causa from the Universit Cte d'Azur. document.getElementById("ak_js_1").setAttribute("value",(new Date()).getTime()); Alessio Figalli Educational Qualifications, Antonino Faranda Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family, Ashraf Saber Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family, Crescenzo DAmore Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family, Cristian Lizzori Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family, Alessandro Frau Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family 2023, Antonino Faranda Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family 2023, Masahito Yabe Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family 2023, Matthew Connolly Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family 2023, Capital Bra Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family 2023, Corliss Williamson Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family 2023, Jonathan Fumeaux Net Worth, Age, Height, Weight, Wife, Wiki-Bio, Family 2023. In the below table, you will find the height of Alessio Figalli in Meter, Centimeter, and Feet Inche, & the weight in KG and Pound. Moore instructor there. His honorary citizenship from the community of Bari Sardo is emblematic of the reactions from politics and society: that is the small town on Sardinia where Alessio Figalli spent his summer holidays as a youth with his parents so are the requests for lectures to school classes and the general public. You can read todays latest tweets and post from Alessio Figallis official Twitter account below, where you can know what he is saying in his previous tweet. These results open a new perspective on the field, said Maria Colombo of the Swiss Federal Institute of Technology Lausanne. Math. Theyre also familiar in everyday life. And unlike the paraboloid pattern for the temperature, which implies that a singularity might exist along a whole line, a conical pattern can only have a sharp singularity at a single point. 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. Quanta Magazine moderates comments tofacilitate an informed, substantive, civil conversation. Figalli himself received the first honorary doctorate of the University of Cte dAzur and became a corresponding member of two scientific academies. At each stop he has dined with friends and caught up with longtime collaborators. 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. It takes a lot of different traits to be a successful mathematician technical skill, ingenuity, an ability to persevere under great uncertainty. The Net Worth of Alessio Figalli is $1.5 Million. He was born in Rome on April 02, 1984. This is one of those problems that naturally exhibits singularities, said Giuseppe Mingione of the University of Parma. Eventually, the ice and the boundary along with it disappear. The equations work well, but its taken 130 years to prove that they conform to obvious facts about reality. Yet reality also tells us that the singularities are controlled. . Figalli, Ros-Oton and Serra shifted the microscope onto this deviation from the paraboloid pattern. Who is the Girlfriend of Alessio Figalli? So, how much is Alessio Figalli worth at the age of 38 years old? You have infinite degrees of freedom, and its only with advanced mathematical tools that you can really get rid of this infinite dimensionality and find in some sense your solution, Ambrosio said. But mathematicians would like to precisely quantify that stability. Figalli and De Philippis thought about the optimal transport map that converts the initial shape and position of a front into its subsequent shape and position. (Its named after the very same Monge who was trying to help Napoleon build fortifications.) You can decide this piece goes here, that piece goes there. Figalli liked math from an early age. The physical condition of Alessio Figalli is good. 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. One year ago on 1 August 2018 he won the Fields Medal call_made, which is considered the "Nobel Prize of Mathematics". Having shown that the exotic branching and sheetlike singularities were both rare, the researchers could make the general statement that all singularities for the Stefan problem are rare. 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. He and his collaborators were at a conference in Edinburgh, where they had been working on the stability problem for many hours a day. According to the various source, there is an approximate asset that is net worth. 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. It helps us to understand nature.. I like drawing pictures. The prize is conferred every four years by the International Mathematical Union to the most accomplished mathematicians in the world under the age of 40. 276: 2021: Existence and uniqueness of martingale solutions for SDEs . And while a soap film stays put, the line between ice and water is always in motion. Since September 2008, Akshay Venkatesh has been a Profesor at Stanford University. 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. Think about blowing a soap bubble, for example: The bubble elongates and wavers as it expands from the wand, but after it detaches it settles into the shape of a sphere. In 2019 he received the Doctorate Honoris Causa from the Polytechnic University of Catalonia too. Do you want to know what is the educational qualifications of Alessio Figalli? But as for the Stefan problem itself, and the mathematics of how ice cubes melt in water? Alessio Figalli. One year ago on 1 August 2018 he won the external pageFields Medalcall_made, which is considered the Nobel Prize of Mathematics. Hes given lectures before friends and colleagues in Texas, North Carolina, Paris, and the Canadian mountain town of Banff. He has been awarded the Prix and Cours Peccot in 2012, the EMS Prize in 2012,, the Stampacchia Medal in 2015, and the Feltrinelli Prize in 2017. Ambrosio expected that the novice student would struggle to get anywhere with it. He recognized that the water temperature around a singularity follows a paraboloid pattern. Surface tension will pull the film as taut as possible, forming it into a shape called a catenoid a kind of caved-in cylinder. He has a wild spectrum of different contributions, said Luis Caffarelli, a mathematician at the University of Texas, Austin, who will introduce Figalli at the Fields Medal ceremony in Rio. Von Neumann et al. At Akshays request I explained what the problem was. Alessio Figalli has included themes like Dimension and Conjecture in his Bounded function study. Zabv se pedevm varianm potem a parcilnmi diferencilnmi rovnicemi. Alessio Figalli: Magic, Method, Mission Authors: Sebasti Xamb-Descamps Universitat Politcnica de Catalunya Request full-text Discover the world's research No full-text available Citations (2). 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. Drop an ice cube into a glass of water. He was an invited speaker at the International Congress of Mathematicians 2014. Department of Mathematics In 1993, at the age of 11, he won a Bronze medalat the 24th International Physics Olympiad in Williamsburg, Virginia. They proved that points that are close together in the initial shape remain close together in the subsequent shape and then they showed how this feature of the transport map implies the regularity of solutions to the semigeostrophic equations. Alessio Figalli alla Settimana Matematica 41,634 views Jun 9, 2020 Alessio Figalli, medaglia Fields, incontra gli studenti della scuola in visita al Dipartimento di Matematica. Mathematical knowledge plays a key role in this transition. He was a faculty at the University of Texas-Austin, before moving to ETH Zrich in 2016 as a chaired professor. A mathematician named Frederick Almgren had investigated it in an intimidating 1,000-page paper about soap films, which was only published by his wife, Jean Taylor another expert on soap films after he died. We hope you get the information about Alessio Figalli. 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. A They began to work through their various ideas at a blackboard. 41 (5): 1890-1920 (2009) A second equation tracks the changing interface between ice and water as the melting process proceeds. He also recognized that it doesnt quite follow this pattern exactly theres a small deviation between a perfect paraboloid and the actual way the water temperature looks. Mathematicians wanted to use the same methods to deal with the Stefan problem, but they soon realized that with ice, things were not as simple. Video: Figalli explains how physical intuition can play a key role but not the only role in mathematical thinking. Continue reading to discover who is Alessio Figalli. Figallis second major result had a similar flavor. E si trova lavoro" - la Repubblica. In 2011 and 2012 he published successive papers with Guido De Philippis, now at the International School for Advanced Studies in Trieste, Italy. Monge wanted to find the optimal way to complete this transport that is, he wanted to know which wagonload of dirt should end up where, so as to minimize the labor required to complete the task. 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 . And since many lines can be put together to form a surface, his work left open the possibility that a set of singularities could fill the entire boundary surface. P. O. Man Group plc. 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. In addition to work on optimal transport, for which he was awarded the Fields Medal, hes looking at a class of equations that are very well suited to describing chemical and biological phenomena known as reaction-diffusion equations. Please agree and read more about our, Mathematicians Prove Melting Ice Stays Smooth. Alessio Figalli is an Italian mathematician working at ETH Zurich who received the Fields Medal at the International Congress of Mathematicians (ICM) in 2018. Alessio Figalli(Roma, 2 d'abrilde 1984) s un matemticitaliespecialitzat en equacions en derivades parcials(EDP). 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 . Born on 2 April 1984, the Mathematician Alessio Figalli is arguably the worlds most influential social media star. Thats what I would like to show students using examples to awaken their interest in mathematics and science., Times Higher Education brings university and industry leaders from around the globe to ETH Zurich for the World Academic Summit to explore "How Talent Thrives." Which is why The important thing is to understand where the two phases decide to switch from one to the other, said Colombo. Alessio Figalli Net Worth & Basic source of earning is being a successful Italian Mathematician. In 1994, after being at second place in the Australian Mathematical Olympiad, Venkateshwon a silver medal in the 6th Asian Pacific Mathematics Olympiad. Snowflakes in the model may not be impossible, but they are extremely rare and entirely fleeting. The spheres of economy and society, politics and media also signalled their recognition and showed greater interest. They met in 2013 when Figalli gave a talk at the University of Rome, where Iacobelli was a doctoral student. But remarkably, Caffarelli found that as you move away from the singularity, the temperature increases in a clear pattern: If you move one unit in distance away from a singularity and into the water, the temperature rises by approximately one unit of temperature. 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. I was always an optimizer, I wanted the best for the least effort.. This flatness implied that the geometry near that point could not be singular. He is from Italian. In particular, together with Francesco Maggi and Aldo Pratelli, he proved a sharp quantitative version of the anisotropic isoperimetric inequality. 1. 02 Feb 2023 15:03:28 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. [15], invited speaker at the International Congress of Mathematicians, French National Centre for Scientific Research, SISTEMA ETD - Archivio digitale delle tesi discusse presso l'Universit di Pisa, A Traveler Who Finds Stability in the Natural World, August 1, 2018, "Universality in several-matrix models via approximate transport maps", https://en.wikipedia.org/w/index.php?title=Alessio_Figalli&oldid=1133271545, This page was last edited on 13 January 2023, at 00:03. In this section, we will talk about Alessio Figalli's personal life, life story. Share your thoughts in the comment section. Prof. Alessio Figalli, ETH ZrichSeminar date: January 25, 2022 Talk topic: Optimal transport: past, present, and futureAbstract:At the end of the 18th centu. [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. He had this rare ability of immediately placing the idea in the right context and using it creatively.. Alessio Figalli in 1989 at age 5, as a kindergartener at the Padre Lais school in Rome. Workshop in honor of Alessio Figalli's Doctor Honoris Causa at UPC Five talks and a Round Table with Prof. Alessio Figalli. But for decades afterward it remained of interest mainly to economists. [9], Then, in a joint work with Eric Carlen, he addressed the stability analysis of some GagliardoNirenberg and logarithmic HardyLittlewoodSobolev inequalities to obtain a quantitative rate of convergence for the critical mass KellerSegel equation. Scroll Down and find everything about him. The book is suitable for a . If the point were located on a cusp, mathematicians would see something more like a wedge, not a plane. What you really want to know is whether the two are in a stable relationship with each other. In other words, they couldnt rule out the possibility that the model might output nonsense. Figallis first major result as a mathematician had to do with proving the stability of these types of energy-minimizing shapes. In 2007 he was appointed Charg de recherche at the French National Centre for Scientific Research, in 2008 he went to the cole polytechnique as Professeur Hadamard. In the company of Alessio Figalli, you get a sense that everything is taken care of. 10:02. He was a mathematician tasked by Napoleon with figuring out how to transport soil to the front for building fortifications. 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. By 2019, Figalli, Ros-Oton and Serra had figured out a remarkable way to find out more. They were able to show that all of these new types of singularities disappeared rapidly just as they do in nature except for two that were particularly enigmatic. [1]Foi palestrante convidado do Congresso Internacional de Matemticos em Seul (2014: Quantitative stability results for the Brunn-Minkowski inequality). 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[7] and a partial regularity result for MongeAmpre type equations,[8] both proved together with Guido de Philippis. 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. here to see the students listed in chronological order. The two substances are made of the same water molecules, but the water is in two different phases: solid and liquid. Alessio Figalli. For those who do not have an account on a certain platform, we added the official website link of the platform. According to our current on-line database, Alessio Figalli has 11 students and 13 descendants. The marital status of Alessio Figalli is: Yet to update. He was awarded the Prix and Cours Peccot[fr] in 2012, the EMS Prize in 2012, the Stampacchia Medal in 2015, the Feltrinelli Prize in 2017 and the Fields Medal in 2018. 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. 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. In a paper with Gonzalo Contreras and Ludovic Rifford, he proved generic hyperbolicity of Aubry sets on compact surfaces. But as heat from the water transfers into the ice, the ice melts and the boundary moves. 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. If this was true, it would mean that the singularities in the Stefan problem were completely out of control. [13] More recently, in collaboration with Alice Guionnet, he introduced and developed new transportation techniques in the topic of random matrices to prove universality results in several-matrix models. The mathematician Alessio Figalli is rarely in one place for very long. 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. We welcome any additional information. I loved that. 109 0. C Zoufal, A Lucchi, A Figalli, S Woerner. 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. 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. Their proof takes the form of a precise inequality, which says that if you increase the energy of a system like a soap bubble or a crystal by some amount, then the resulting shape will deviate from the original shape by no more than some other amount. Alessio Figalli is a Mathematician. Like stability, regularity is one of the most important things to know about any mathematical representation of a physical phenomenon. 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. 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. Altogether, Caffarellis insight provided a clear way of sizing up singularities along the ice-water boundary. I never felt like a pop star. Alessio Figalli. 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. Figalli in the math department of Durham University. There may have wrong or outdated info, if you find so, please let us know by leaving a comment below. From 2004 to 2006, he helda Clay Research Fellowship from the Clay Mathematics Institute. The Italian mathematician Alessio Figalli, who received a 2018 Fields Medal, has been awarded an honorary doctoral degree by the UPC. At age 34, Figalli won the award with time to spare. The first proved the regularity of the Monge-Ampre equation, which is found throughout geometry. In 1997, hewas awarded First Class Honours in Pure Mathematics,the youngest ever to achieve this feat. 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. Once I got in, I started to understand what mathematics really was. Major Quantum Computing Advance Made Obsolete by Teenager, the International Congress of Mathematicians. If you spot a cloud in the sky and watch how it changes shape, youll see that it changes gradually. These points corresponded to icy cusps singularities which become stranded by the retreat of the melting boundary. Do you wanna know Alessio Figalli's full Biodata? JavaScript has been disabled in your browser, Since winning the medal, Figalli has been working more closely on topics that concern the development, effects and communication of mathematics. Speaking at an event in 2016,he described his work as looking for new patterns in the arithmetic of numbers., Prof Cheryl Praeger, one of his early mentors, said he had always been extraordinary. Recalling her first meeting with Venkatesh when he was 11 years old, the professor said,At our first meeting, I was speaking with Akshays mother, Svetha, while Akshay was sitting at a table in my office reading my blackboard which contained fragments from a supervision of one of my PhD students. The Stefan problem is a foundational example for an entire subfield of math where boundaries move. Stability proofs such as these are a specific and important variety of mathematical result. In the decade before mathematicians began to understand the ice melting equations, they made tremendous progress on the mathematics of soap films. He was an invited speaker at the International Congress of Mathematicians 2014.
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