Jared Wunsch | |
---|---|
Nationality | American |
Alma mater | Harvard University Princeton University |
Awards | Fellow of the American Mathematical Society (2013) Simons Fellowship in Mathematics (2021) |
Scientific career | |
Fields | Mathematics |
Institutions | Northwestern University |
Thesis | Microlocal analysis of the time-dependent Schrödinger operator (1998) |
Doctoral advisor | Richard B. Melrose |
Jared Wunsch is an American mathematician working in the areas of partial differential equations, microlocal analysis, spectral theory and mathematical physics. He is currently a professor of mathematics at Northwestern University. [1]
Wunsch attended Princeton University, obtaining his A.B. in mathematics with a senior thesis under the supervision of Elias M. Stein in 1993. [2] He received his PhD from Harvard University under the supervision of Richard B. Melrose in 1998. [3] Following his postdoctoral appointment at the Columbia University, he was an assistant professor at Stony Brook University from 2000 to 2002. After this appointment, he joined Northwestern University and became tenured in 2009. He served as department chair from 2012 to 2015.
Wunsch was elected a fellow of the American Mathematical Society in 2013, [4] and, along with Bryna Kra, he was awarded the Simons Fellowship in mathematics by the Simons Foundation in 2021. [5]
The main feature of Wunsch's work is the application of tools from microlocal analysis to problems in Schrödinger and wave equations, as well as numerical analysis. He analyzed the propagation of singularities for solutions of wave equation on conic manifolds with Richard B. Melrose [6] and later on edge manifolds with Richard B. Melrose and András Vasy. [7] His most cited results include his work on resolvent estimates on hyperbolic trapped sets with Maciej Zworski [8] and his work on sharp Strichartz estimates on conic manifolds with Andrew Hassell and Terence Tao. [9]
In the mathematical fields of differential geometry and geometric analysis, the Ricci flow, sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analogous to the diffusion of heat and the heat equation, due to formal similarities in the mathematical structure of the equation. However, it is nonlinear and exhibits many phenomena not present in the study of the heat equation.
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.
In mathematical analysis, more precisely in microlocal analysis, the wave front (set) WF(f) characterizes the singularities of a generalized function f, not only in space, but also with respect to its Fourier transform at each point. The term "wave front" was coined by Lars Hörmander around 1970.
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