Dan Romik is a mathematician and a professor of mathematics at the University of California, Davis. [1] He is known for contributions to probability theory and discrete mathematics.
Romik received his Ph.D. from Tel-Aviv University in 2002 under the supervision of David Gilat. [2] He has been at the University of California, Davis since 2009. He is an author of 3 books and over 40 papers, including publications in the Annals of Mathematics and in the Proceedings of the National Academy of Sciences. [3] [4] In 2010 he was awarded a National Science Foundation CAREER Award, [5] and he was a Simons Fellow in 2012. [6] From 2014 to 2017 he was the chair of the Mathematics Department of the University of California, Davis. [7]
Much of Romik's work is in the areas of algebraic and enumerative combinatorics. He was an invited speaker at the FPSAC 2017 and AofA 2017 conferences, and served as co-chair of the FPSAC 2021 program committee. [8] [9] [10]
In 2023, Romik published a paper simplifying Maryna Viazovska's solution to the sphere packing problem in dimension 8. Viazovska's original solution relied on computer calculations to verify analytical inequalities that were an essential ingredient in her proof, making the proof a computer-assisted proof. Romik's paper presents a proof of the same inequalities that does not rely on computer calculations. [11]
Romik's research work on the moving sofa problem has been featured on the Numberphile educational YouTube channel, [12] in an article in Popular Mechanics, [13] and in several other news publications and websites. [14] [15] [16] [17] [18] [19] [20]
Romik developed several software packages accompanying his research articles. [21] He is the creator of the MadHat software system for mathematical typesetting and publishing. [22]
The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional Euclidean space. It states that no arrangement of equally sized spheres filling space has a greater average density than that of the cubic close packing and hexagonal close packing arrangements. The density of these arrangements is around 74.05%.
In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three-dimensional Euclidean space. However, sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions or to non-Euclidean spaces such as hyperbolic space.
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Michel Pierre Talagrand is a French mathematician. Docteur ès sciences since 1977, he has been, since 1985, Directeur de Recherches at CNRS and a member of the Functional Analysis Team of the Institut de Mathématique of Paris. Talagrand was elected as correspondent of the Académie des sciences of Paris in March 1997, and then as a full member in November 2004, in the Mathematics section.
In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealisation of real-life furniture-moving problems and asks for the rigid two-dimensional shape of largest area that can be maneuvered through an L-shaped planar region with legs of unit width. The area thus obtained is referred to as the sofa constant. The exact value of the sofa constant is an open problem. The currently leading solution, by Joseph L. Gerver, has a value of approximately 2.2195 and is thought to be close to the optimal, based upon subsequent study and theoretical bounds.
Greg Kuperberg is a Polish-born American mathematician known for his contributions to geometric topology, quantum algebra, and combinatorics. Kuperberg is a professor of mathematics at the University of California, Davis.
Lawrence David Guth is a professor of mathematics at the Massachusetts Institute of Technology.
Joel Hass is an American mathematician and a professor of mathematics and at the University of California, Davis. His work focuses on geometric and topological problems in dimension 3.
In combinatorial mathematics, probability, and computer science, in the longest alternating subsequence problem, one wants to find a subsequence of a given sequence in which the elements are in alternating order, and in which the sequence is as long as possible.
YitangZhang is a Chinese-American mathematician primarily working on number theory and a professor of mathematics at the University of California, Santa Barbara since 2015.
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Svetlana Yakovlevna Jitomirskaya is a Soviet-born American mathematician working on dynamical systems and mathematical physics. She is a distinguished professor of mathematics at Georgia Tech and UC Irvine. She is best known for solving the ten martini problem along with mathematician Artur Avila.
Maryna Sergiivna Viazovska is a Ukrainian mathematician known for her work in sphere packing. She is a full professor and Chair of Number Theory at the Institute of Mathematics of the École Polytechnique Fédérale de Lausanne in Switzerland. She was awarded the Fields Medal in 2022.
Thomas Royen is a retired German professor of statistics who has been affiliated with the University of Applied Sciences Bingen. Royen came to prominence in the spring of 2017 for a relatively simple proof for the Gaussian Correlation Inequality (GCI), a conjecture that originated in the 1950s, which he had published three years earlier without much recognition. A proof of this conjecture, which lies at the intersection of geometry, probability theory and statistics, had eluded top experts for decades.
The Gaussian correlation inequality (GCI), formerly known as the Gaussian correlation conjecture (GCC), is a mathematical theorem in the fields of mathematical statistics and convex geometry.
Kurt Johansson is a Swedish mathematician, specializing in probability theory.
The Baik–Deift–Johansson theorem is a result from probabilistic combinatorics. It deals with the subsequences of a randomly uniformly drawn permutation from the set . The theorem makes a statement about the distribution of the length of the longest increasing subsequence in the limit. The theorem was influential in probability theory since it connected the KPZ-universality with the theory of random matrices.
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