Related Research Articles
Vladimir Igorevich Arnold was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to several areas, including geometrical theory of dynamical systems theory, algebra, catastrophe theory, topology, real algebraic geometry, symplectic geometry, symplectic topology, differential equations, classical mechanics, differential geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem.
Mathematical physics refers to the development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics, known as physical mathematics.
The Bôcher Memorial Prize was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450. It is awarded every three years for a notable research work in analysis that has appeared during the past six years. The work must be published in a recognized, peer-reviewed venue. The current award is $5,000.
Terence Chi-Shen Tao is an Australian mathematician who is a professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins Chair in the College of Letters and Sciences. His research includes topics in harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing and analytic number theory.
Barry Martin Simon is an American mathematical physicist and was the IBM professor of Mathematics and Theoretical Physics at Caltech, known for his prolific contributions in spectral theory, functional analysis, and nonrelativistic quantum mechanics, including the connections to atomic and molecular physics. He has authored more than 400 publications on mathematics and physics.
Karen Keskulla Uhlenbeck ForMemRS is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair. She is currently a distinguished visiting professor at the Institute for Advanced Study and a visiting senior research scholar at Princeton University.
In mathematical physics, the almost Mathieu operator, named for its similarity to the Mathieu operator introduced by Émile Léonard Mathieu, arises in the study of the quantum Hall effect. It is given by
Sun-Yung Alice Chang is a Taiwanese American mathematician specializing in aspects of mathematical analysis ranging from harmonic analysis and partial differential equations to differential geometry. She is the Eugene Higgins Professor of Mathematics at Princeton University.
Victor Ivrii, is a Russian, Canadian mathematician who specializes in analysis, microlocal analysis, spectral theory and partial differential equations. He is a professor at the University of Toronto Department of Mathematics.
Thomas Yizhao Hou is the Charles Lee Powell Professor of Applied and Computational Mathematics in the Department of Computing and Mathematical Sciences at the California Institute of Technology. He is known for his work in numerical analysis and mathematical analysis.
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.
Nataša Pavlović is a Serbian mathematician who works as a professor of mathematics at the University of Texas at Austin. Her research concerns fluid dynamics and nonlinear dispersive partial differential equations. She is known for her work with Nets Katz pioneering an approach to constructing singularities in equations resembling the Navier–Stokes equations, by transferring a finite amount of energy through an infinitely decreasing sequence of time and length scales.
The AWM–Sadosky Prize in Analysis is a prize given every other year by the Association for Women in Mathematics to an outstanding young female researcher in mathematical analysis. It was established in 2012, and is named after Cora Sadosky, a mathematician specializing in analysis who became president of the AWM.
In mathematics, the Simon problems are a series of fifteen questions posed in the year 2000 by Barry Simon, an American mathematical physicist. Inspired by other collections of mathematical problems and open conjectures, such as the famous list by David Hilbert, the Simon problems concern quantum operators. Eight of the problems pertain to anomalous spectral behavior of Schrödinger operators, and five concern operators that incorporate the Coulomb potential.
Francis Michael Christ is an American mathematician and professor at University of California, Berkeley, specializing in harmonic analysis, partial differential equations, and several complex variables. He is known for the Christ–Kiselev maximal inequality.
Monica Vișan is a Romanian mathematician at the University of California, Los Angeles who specializes in partial differential equations and is well known for her work on the nonlinear Schrödinger equation.
Walter Alexander Strauss is an American applied mathematician, specializing in partial differential equations and nonlinear waves. His research interests include partial differential equations, mathematical physics, stability theory, solitary waves, kinetic theory of plasmas, scattering theory, water waves, and dispersive waves.
Eduard Feireisl is a Czech mathematician.
Nader Masmoudi is a Tunisian mathematician.
Rowan Killip is an American–New Zealand mathematician at the University of California, Los Angeles whose work focuses on mathematical physics, particularly partial differential equations. He won a Sloan Research Fellowship in 2004 and a Simons Fellowship in Mathematics in 2015. In 2023, he won, along with Monica Vișan, the Frontiers of Science Award at the International Congress for Basic Science in Beijing, China for proving the global well-posedness of the Korteweg–De Vries equation in the Sobolev space H-1.
References
- ↑ "Alexander Kiselev (home page)". Mathematics Department, Duke University. Retrieved 2019-05-20.
- ↑ Simon, Barry (2000). "Schrödinger Operators in the Twenty-First Century". Mathematical Physics 2000. Imperial College London. pp. 283–288. doi:10.1142/9781848160224_0014. ISBN 978-1-86094-230-3.
- ↑ "Simon's Problems". Wolfram MathWorld. Retrieved 2019-05-20.
- ↑ Kiselev, A. (2001). "Imbedded Singular Continuous Spectrum for Schrödinger Operators". arXiv: math/0111200 .
- ↑ Kiselev, Alexander (2005). "Imbedded singular continuous spectrum for Schrödinger operators". Journal of the AMS. 18 (3): 571–603. arXiv: math/0111200 . doi:10.1090/S0894-0347-05-00489-3. S2CID 7877125.
- ↑ "The SQG Equation". ScienceWatch Archive. Retrieved 2019-05-20.
- ↑ "The Importance of Chemotaxis to the Health of Coral Colonies". Institute for Mathematics and Its Applications. Retrieved 2019-05-20.
- ↑ "Mixing It Up". Duke Today. 5 October 2017. Retrieved 2019-05-20.
- ↑ "For Fluid Equations, a Steady Flow of Progress". Quanta Magazine.
- ↑ "Past Sloan Fellows". Alfred P. Sloan Foundation. Archived from the original on 2018-03-14. Retrieved 2019-05-20.
- ↑ "Alexander Kiselev". John Simon Memorial Guggenheim Foundation. Retrieved 2019-05-20.
- ↑ Alexander Kiselev "Small scales and singularity formation in fluid mechanics." In Proceedings of the International Congress of Mathematicians, vol. 1, p. 2. 2018.
- ↑ "Brooke Benjamin Lectures". Mathematical Institute, Oxford University. Retrieved 2019-05-20.
- ↑ "2020 Simons Fellows in Mathematics and Theoretical Physics Announced". Simons Foundation.
