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KI-Net Conference Announcement

Mathematical and Physical Aspects of Topologically Protected States

May 1 - 3, 2017

Columbia University
Department of Applied Physics and Applied Mathematics
   and Department of Mathematics

Visitor Guide




The field of Topological Insulators (TI) has its origins in phenomena in condensed matter physics such as the Quantum Hall Effect, followed by theoretical and experimental work on 2D crystalline materials, e.g. graphene, and more recently three-dimensional TIs. A hallmark of TIs is the existence of uni-directionally propagating states, localized within 1D line defects or 2D facets created from the bulk TI. Such states and their propagation properties are robust against spatially localized (even large) perturbations. 
With the recognition that many phenomena are related to the general properties of waves propagating in media with certain dispersion properties (e.g. periodic media with band structures having novel features such as symmetry-induced “Dirac points”), theoretical and applied physicists, and engineers have explored realizations of TI-like phenomena in, for example,  photonics and acoustics. 
The mathematical and theoretical approaches taken to study TIs range from the analysis of PDEs and tight-binding models, to index theory, to non-commutative geometry, and computational aspects of these subjects.


This workshop will focus on recent developments in this area at the interface of mathematics and fundamental and applied physics. The workshop is aimed at the broad group of researchers, with a view toward promoting interactions between the communities of mathematicians, physicists, and engineers. The organizers aim for the introductory part of each talk to be tutorial (at the first year graduate level) before focusing on more recent developments.



Shi JinUniversity of Wisconsin-Madison, Department of
Jianfeng LuDuke University, Mathematics
Michael I. WeinsteinColumbia University, Department of Applied Physics and Applied Mathematics
and Department of Mathematics


Boris AltshulerColumbia University
Andrea AluUniversity of Texas at Austin
Maxence CassierUniversity of Utah
Po-Yao ChangRutgers
Gabriela C. CorreaCornell University
Anil DamleUniversity of California, Berkeley
Alexis DrouotColumbia University
Avik DuttColumbia University
Romy FainColumbia University
Di FangUniversity of Wisconsin-Madison
Juerg M. FroehlichETH Zurich
Gian Michele GrafETH Zurich
Stuart HadfieldColumbia University
Shi JinUniversity of Wisconsin-Madison
Wenjia JingTsinghua University
Ilya KachkovskiyInstitute for Advanced Study
Hans-Christoph KaiserWeierstrass Institute (WIAS Berlin)
Rachael T. KellerColumbia University
Alexander KhanikaevCity College of NY
Heung-Sik KimUniversity of Toronto
Jinwoong KimRutgers University
Harish KrishnaswamyColumbia University
Brian LeeColumbia University
James P. Lee-ThorpNew York University
Michael LindseyUniversity of California, Berkeley
Michal LipsonColumbia University
Liu LiuUniversity of Texas at Austin
Terry A. LoringUniversity of New Mexico
Jianfeng LuDuke University
Mitchell LuskinUniversity of Minnesota
Bartomeu MonserratRutgers University
Arje NachmanAFOSR
Aravind NaguluColumbia University
Xiang NiCity University of New York
Olivier PinaudColorado State University
Emil ProdanYeshiva University
Mikael C. RechtsmanPennsylvania State University
Shervin SahbaSan Francisco State University
Hermann Schulz-BaldesFAU Erlangen-Nuernberg
Daria SmirnovaCity University of New York
Marin SoljacicMassachusetts Institute of Technology
Minh Binh TranUniversity of Wisconsin-Madison
David VanderbiltRutgers University
Stephen J. WatsonUniversity of Glasgow
Alexander WatsonDuke University
Michael I. WeinsteinColumbia University
James WendelbergerLos Alamos National Laboratory
Lexing YingStanford University
Yongheng ZhangAmherst College
Zhennan ZhouDuke University
Yi ZhuTsinghua University


A limited amount of funding for travel and lodging is available for researchers from Ki-Net nodes in the early stages of their career who want to attend the full program, especially for graduate students and post-doctoral fellows.


Visitor Guide

Department of Applied Physics and Applied Mathematics
   and Department of Mathematics
Columbia University




Funding provided by Simons Foundation Math+X Investigator Award #376319, and the National Science Foundation through the Ki-Net Grant.