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Mathematics Colloquium

All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.

Spring 2016

date speaker title host(s)
January 22
January 28 (Th 4pm VV901) Steven Sivek (Princeton) The augmentation category of a Legendrian knot Ellenberg
January 29 Ana Caraiani (Princeton)
February 5 Takis Souganidis (University of Chicago) Lin
February 12 Gautam Iyer (CMU) Jean-Luc
February 19 Jean-François Lafont (Ohio State) Dymarz
February 26 Hiroyoshi Mitake (Hiroshima university) Tran
March 4 Guillaume Bal (Columbia University) Li, Jin
March 11 Mitchell Luskin (University of Minnesota) Mathematical Modeling of Incommensurate 2D Materials Li
March 18 Ralf Spatzier (University of Michigan) TBA Dymarz
March 25 Spring Break
April 1 Chuu-Lian Terng (UC Irvine) --> TBA --> Mari-Beffa
April 8 Alexandru Ionescu (Princeton) TBA Wainger/Seeger
April 15 Igor Wigman (King's College - London) Nodal Domains of Eigenfunctions Gurevich/Marshall
April 22 Paul Bourgade (NYU) TBA Seppalainen/Valko
April 29 Randall Kamien (U Penn) TBA Spagnolie
May 6 Julius Shaneson (University of Pennsylvania) TBA Maxim/Kjuchukova


March 11: Mitchell Luskin (UMN)

Title: Mathematical Modeling of Incommensurate 2D Materials

Abstract: Incommensurate materials are found in crystals, liquid crystals, and quasi-crystals. Stacking a few layers of 2D materials such as graphene and molybdenum disulfide, for example, opens the possibility to tune the elastic, electronic, and optical properties of these materials. One of the main issues encountered in the mathematical modeling of layered 2D materials is that lattice mismatch and rotations between the layers destroys the periodic character of the system. This leads to complex commensurate-incommensurate transitions and pattern formation.

Even basic concepts like the Cauchy-Born strain energy density, the electronic density of states, and the Kubo-Greenwood formulas for transport properties have not been given a rigorous analysis in the incommensurate setting. New approximate approaches will be discussed and the validity and efficiency of these approximations will be examined from mathematical and numerical analysis perspectives.

Past Colloquia

Fall 2015

Spring 2015

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012