Wilhelm Schlag (born May 2, 1969) is a mathematician and Phillips Professor of Mathematics at Yale University. [1] He is known for his work in harmonic analysis and partial differential equations.
Schlag obtained his PhD at the California Institute of Technology in 1996 under the supervision of Thomas Wolff. Since then, he has held positions at Princeton University, California Institute of Technology and the University of Chicago where he was H. J. Livingston Professor of Mathematics before moving to Yale University in 2018. [2] He has done extensive work in Fourier Analysis, Spectral theory and dispersive partial differential equations. [3] Schlag is one of the managing editors of Inventiones Mathematicae. [4]
Lars Valter Hörmander was a Swedish mathematician who has been called "the foremost contributor to the modern theory of linear partial differential equations". Hörmander was awarded the Fields Medal in 1962 and the Wolf Prize in 1988. In 2006 he was awarded the Steele Prize for Mathematical Exposition for his four-volume textbook Analysis of Linear Partial Differential Operators, which is considered a foundational work on the subject.
Charles Louis Fefferman is an American mathematician at Princeton University, where he is currently the Herbert E. Jones, Jr. '43 University Professor of Mathematics. He was awarded the Fields Medal in 1978 for his contributions to mathematical analysis.
Alberto Pedro Calderón was an Argentinian mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, the analyst Antoni Zygmund, developed the theory of singular integral operators. This created the "Chicago School of (hard) Analysis".
Jean Louis, baron Bourgain was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic theory and nonlinear partial differential equations from mathematical physics.
Juncheng Wei is a Chinese mathematician working in the area of nonlinear partial differential equations, nonlinear analysis and mathematical biology. Since 1994, he has over 470 published articles in top journals, including Annals of Mathematics, Inventiones Mathematicae, Communications on Pure and Applied Mathematics, and Duke Mathematical Journal.
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.
Sir Martin Hairer is an Austrian-British mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. He is Professor of Mathematics at EPFL and at Imperial College London. He previously held appointments at the University of Warwick and the Courant Institute of New York University. In 2014 he was awarded the Fields Medal, one of the highest honours a mathematician can achieve. In 2020 he won the 2021 Breakthrough Prize in Mathematics.
Weinan E is a Chinese mathematician. He is known for his pathbreaking work in applied mathematics and machine learning. His academic contributions include novel mathematical and computational results in stochastic differential equations; design of efficient algorithms to compute multiscale and multiphysics problems, particularly those arising in fluid dynamics and chemistry; and pioneering work on the application of deep learning techniques to scientific computing. In addition, he has worked on multiscale modeling and the study of rare events.
Maciej Zworski is a Polish-Canadian mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include microlocal analysis, scattering theory, and partial differential equations.
Hee Oh is a South Korean mathematician who works in dynamical systems. She has made contributions to dynamics and its connections to number theory. She is a student of homogeneous dynamics and has worked extensively on counting and equidistribution for Apollonian circle packings, Sierpinski carpets and Schottky dances. She is currently the Abraham Robinson Professor of Mathematics at Yale University.
Gaven John MartinFRSNZFASLFAMS is a New Zealand mathematician. He is a Distinguished Professor of Mathematics at Massey University, the head of the New Zealand Institute for Advanced Study, the former president of the New Zealand Mathematical Society, and former editor-in-chief of the New Zealand Journal of Mathematics. He is a former Vice-President of the Royal Society of New Zealand [Mathematical, Physical Sciences Engineering and Technology. His research concerns quasiconformal mappings, regularity theory for partial differential equations, and connections between the theory of discrete groups and low-dimensional topology.
Clément Mouhot is a French mathematician and academic. He is Professor of Mathematical Sciences at the University of Cambridge. His research is primarily in partial differential equations and mathematical physics.
José Fernando "Chepe" Escobar was a Colombian mathematician known for his work on differential geometry and partial differential equations. He was professor at Cornell University.
Ronald J. DiPerna was an American mathematician, who worked on nonlinear partial differential equations.
Peter John Olver is a British-American mathematician working in differential geometry.
András Vasy is an American, Hungarian mathematician working in the areas of partial differential equations, microlocal analysis, scattering theory, and inverse problems. He is currently a professor of mathematics at Stanford University.
Robert Miller Hardt is an American mathematician. His research deals with geometric measure theory, partial differential equations, and continuum mechanics. He is particularly known for his work with Leon Simon proving the boundary regularity of volume minimizing hypersurfaces.
Gustavo A. Ponce is a Venezuelan mathematician.
Peter Wai-Kwong Li is an American mathematician whose research interests include differential geometry and partial differential equations, in particular geometric analysis. After undergraduate work at California State University, Fresno, he received his Ph.D. at University of California, Berkeley under Shiing-Shen Chern in 1979. Presently he is Professor Emeritus at University of California, Irvine, where he has been located since 1991.
Rafe Roys Mazzeo is an American mathematician working in differential geometry, microlocal analysis, and partial differential equations. He is currently a professor of mathematics. He served as the department chair at Stanford University from 2007 to 2010 and 2019–2022.