Mathematics and Optics

September 01, 2016 - June 30, 2017

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Overview

There is important and growing activity at the nexus of the mathematical and optical sciences. Driven by sophisticated current and envisioned technologies that rely on optics (e.g., communication systems, imaging, sensing, and computation) and experimental advances in materials science and nanostructure fabrication, there is a growing need for mathematical tools, both computational and analytical. The yearlong IMA program in Mathematics and Optics will bring together applied mathematicians, physical scientists and engineers to confront challenging problems arising in optics. It is anticipated that they will report on latest developments, interact and chart a future research agenda. Workshops will be designed around important areas of application where applied and computational mathematics has a large role to play. There will be four research areas covered during the year, with computation acting as a key enabler. These are:

Optical metamaterials and nanostructures
Photonic bandgap structures
Optimal design and control of optical devices
Nonlinear phenomena in optics and electromagnetics

Organizing Committee:

Gang Bao	Zhejiang University
Shanhui Fan	Stanford University
Graeme Milton	University of Utah
Shari Moskow	Drexel University
Michael Weinstein	Columbia University

Poster

Events

April 24 - 28, 2017	Emerging Topics in Optics	Annual Program Workshop
March 13 - 17, 2017	Novel Optical Materials	Annual Program Workshop
February 13 - 17, 2017	Optical Imaging and Inverse Problems	Annual Program Workshop
December 12 - 16, 2016	Mathematical and Numerical Modeling in Optics	Annual Program Workshop
October 31 - November 04, 2016	Mathematical and Physical Models of Nonlinear Optics	Annual Program Workshop

Full Description

Over the past several decades there has been an explosion in realized and potential applications of the novel properties of light propagation in complex structures. These advances have been catalyzed by huge advances in material fabrication at the micro and nanoscale, in scientific computation (from hardware to algorithms), and a deepening understanding of the "multi-physics" of such systems. The growing importance of the field of "Optics and Photonics" is highlighted in the recent National Research Council report on Optics and Photonics: Essential Technologies for our Nation.

The IMA program on Mathematics and Optics will engage the mathematics community in the full range of questions that arise in the study of optical phenomena, including a fundamental understanding of the governing equations, e.g. nonlinear optical phenomena, metamaterials to PDE constrained optimization problems, necessarily approached via sophisticated numerical analysis and scientific computation. The goal is to launch a thriving community of interdisciplinary researchers working on deep mathematical issues arising in the field of optics.

Long-Term Visitors

Name	Affiliation	Department	Visit
Alejandro Aceves	Southern Methodist University	Department of Mathematics	03/12/17-04/28/17
Sameed Ahmed	University of South Carolina	Department of Mathematics	06/18/17-07/28/17
Amanda Bernstein	North Carolina State University	Department of Mathematics	06/18/17-07/28/17
Eric Bonnetier	Université Grenoble-Alpes	Institut Fourier	01/10/17-05/20/17
Neha Bora	Iowa State University	Department of Mathematics	06/18/17-07/28/17
Phillip Bressie	Kansas State University	Department of Mathematics	06/18/17-07/28/17
Nicole Bridgland	University of Minnesota, Twin Cities	School of Mathematics	06/19/17-07/28/17
Carme Calderer	University of Minnesota, Twin Cities	School of Mathematics	09/01/16-06/30/17
Maxence Cassier	The University of Utah	Department of Mathematics	08/30/16-12/03/16
Yiying Cheng	University of Kansas	Department of Mathematics	06/18/17-07/28/17
Michael Dairyko	Iowa State University	Department of Mathematics	06/18/17-07/28/17
Melissa Davidson	University of Notre Dame	Department of Mathematics	01/22/17-03/17/17
Miandra Ellis	Arizona State University	School of Mathematical and Statistical Sciences	06/18/17-07/28/17
Wenqiang Feng	University of Tennessee	Department of Mathematics	01/22/17-03/11/17
Wen Feng	University of Kansas	Department of Applied Mathematics	06/18/17-07/29/17
George Fisk	University of Minnesota, Twin Cities		06/13/17-08/31/17
Melissa Gaddy	North Carolina State University	Department of Mathematics	06/18/17-07/28/17
Roy Goodman	New Jersey Institute of Technology	Department of Mathematical Sciences	09/11/16-12/17/16
Ngartelbaye Guerngar	Auburn University	Department of Mathematics and Statistics	06/18/17-07/28/17
Jamie Haddock	University of California, Davis	Department of Applied Mathematics	06/18/17-07/28/17
Madeline Handschy	University of Minnesota, Twin Cities		06/19/17-07/28/17
Vahan Huroyan	University of Minnesota, Twin Cities	Department of Mathematics	09/06/16-12/22/16
Tahir Bachar Issa	Auburn University	Department of Mathematics and Statistics	06/18/17-07/28/17
Richard James	University of Minnesota, Twin Cities	Department of Aerospace Engineering	01/15/17-05/15/17
Prashant Jha	Louisiana State University	Department of Mathematics	02/10/17-06/02/17
Daniel Kaplan	Macalester College	Department of Mathematics	01/23/17-03/10/17
Gavin King	University of Wyoming		01/22/17-03/10/17
Eduard-Wilhelm Kirr	University of Illinois at Urbana-Champaign	Department of Mathematics	09/10/16-12/15/16
Cassidy Krause	University of Kansas	Department of Mathematics	06/18/17-07/28/17
Peijun Li	Purdue University	Department of Mathematics	01/10/17-05/15/17
Wenbo Li	University of Maryland	Applied Mathematics & Statistics, and Scientific Computation	06/18/17-07/28/17
Hongshan Li	Purdue University	Department of Mathematics	06/18/17-07/28/17
Mikyoung Lim	Korea Advanced Institute of Science and Technology (KAIST)	Department of Mathematical Sciences	02/03/17-02/24/17
Junshan Lin	Auburn University	Department of Mathematics and Statistics	09/10/16-05/15/17
Tai-Chia Lin	National Taiwan University	Department of Mathematics	10/17/16-11/12/16
Robert Lipton	Louisiana State University	Department of Mathematics	02/10/17-06/04/17
Tony Low	University of Minnesota, Twin Cities	Department of Electrical and Computer Engineering	01/17/17-05/13/17
John Lynch	University of Wisconsin, Madison	Department of Mathematics	06/18/17-07/28/17
Eric Malitz	University of Illinois, Chicago	Department of Mathematics, Statistics and Computer Science	06/18/17-07/28/17
Tianyi Mao	City University of New York	Department of Mathematics	06/18/17-07/28/17
Ornella Mattei	The University of Utah	Department of Mathematics	09/01/16-12/03/16
Emily McMillon	University of Nebraska	Department of Mathematics	06/18/17-07/28/17
Christine Mennicke	North Carolina State University	Department of Applied Mathematics	06/18/17-07/28/17
Kacy Messerschmidt	Iowa State University	Department of Mathematics	06/18/17-07/28/17
Graeme Milton	The University of Utah	Department of Mathematics	09/01/16-11/30/16
Peter Monk	University of Delaware	Department of Mathematical Sciences	09/06/16-12/04/16
Ngai Fung Ng	Purdue University		06/18/17-07/28/17
Hieu Nguyen	The University of Texas at Austin	Institute for Computational Engineering and Sciences	06/18/17-07/28/17
Nilima Nigam	Simon Fraser University	Department of Mathematics	02/10/17-03/25/17
Kelly O'Connell	Vanderbilt University	Department of Mathematics	06/18/17-07/28/17
Sang-Hyun Oh	University of Minnesota, Twin Cities	Department of Electrical and Computer Engineering	09/06/16-12/22/16
Daniel Onofrei	University of Houston	Department of Mathematics	09/12/16-12/16/16
Braxton Osting	The University of Utah	Department of Mathematics	02/06/17-05/10/17
Luca Pallucchini	Temple University		06/18/17-07/28/17
David Rollins	University of Central Florida	Department of Mathematics	10/15/16-11/10/16
Fesobi Saliu	University of Memphis	Department of Mathematical Sciences	06/18/17-07/28/17
Fadil Santosa	University of Minnesota, Twin Cities	School of Mathematics	02/12/17-03/10/17 06/19/17-07/28/17
Arnd Scheel	University of Minnesota, Twin Cities	School of Mathematics	09/01/16-06/30/17
Stephen Shipman	Louisiana State University	Department of Mathematics	09/10/16-12/17/16
Olabanji Shonibare	Michigan Technological University	Department of Mathematical Sciences	01/22/17-03/17/17
Daniel Spirn	University of Minnesota, Twin Cities	School of Mathematics	06/19/17-07/28/17
Anna Srapionyan	Cornell University	Center for Applied Mathematics	06/18/17-07/28/17
Trevor Steil	University of Minnesota, Twin Cities	School of Mathematics	06/19/17-07/28/17
Jiguang Sun	Michigan Technological University	Department of Mathematics	02/01/17-04/30/17
Oliver Thistlethwaite	University of Tennessee	Department of Mathematics	01/22/17-03/10/17
Aditya Vaidyanathan	Cornell University	Center for Applied Mathematics	06/18/17-07/28/17
Xiao Wang	University of Illinois at Urbana-Champaign	Department of Mathematics	01/21/17-03/10/17
Zhaoxia Wang	Louisiana State University		06/18/17-07/28/17
C. Eugene Wayne	Boston University	Department of Mathematics	09/11/16-11/18/16
Aaron Welters	Florida Institute of Technology	Department of Mathematical Sciences	09/10/16-12/15/16
Ting Zhou	Northeastern University	Department of Mathematics	02/20/17-05/12/17
Dara Zirlin	University of Illinois at Urbana-Champaign	Mathematics Department	06/18/17-07/28/17