NEWS in the Department of Mathematic
Graduate Announcements
David Parkard - MS final examination
Date: Friday, May 17, 2013
Place: Weber, 223
Time: 10:00 a.m.
Title: Frames in the Weierstrass-Enneper Representation of Surfaces
Advisor: Dr. Patrick Shipman
Committee:
Dr. Renzo Cavalieri
Dr. Martin Gelfand
Abstract: Surfaces in R3 can be described by attaching a frame, consisting of two tangent vectors and a unit normal, to each point on the surface. The classical Weierstrass-Enneper representation of surfaces of zero mean curvature (minimal surfaces) gives an isothermal parametrization in the complex coordinates (z, \bar{z}). This representation allows for any minimal surface (one which has mean curvature zero) to be generated by a holomorphic function, and every holomorphic function having a corresponding minimal surface. The generalized Weierstrass-Enneper rep-resentation extends to constant mean curvature surfaces, showing that every constant mean curvature surface has a corresponding Hamiltonian system of ODEs, although not every Hamil-tonian system corresponds to a surface of constant mean curvature. The coordinates for the Hamiltonian system (ψ1 , ψ2 ) arise via representing an isothermic frame as a 2 x 2 matrix.
Dusty Ross - PhD final examination
Date: Thursday, May 16, 2013
Place: Weber 201
Time: 3:00 p.m.
Title: Open and Closed Gromov-Witten Theory of Three-Dimensional Toric Calabi-Yau Orbifolds
Advisor: Dr. Renzo Cavalieri
Committee:
Dr. Chris Peterson
Dr. Jeff Achter
Dr. Erika Lunkenheimer
Abstract:
Motivated by string theory and enumerative geometry, Gromov-Witten theory has attracted a lot of attention in both mathematics and physics over the last two decades. The GW theory of toric CY 3-folds has a particularly efficient computational algorithm called the "topological vertex" which provides a local-to-global approach to conjectural correspondences related to GW theory. We introduce a generalization to orbifold targets, the "orbifold vertex", and discuss its applications to two such conjectural correspondences: Ruan's crepant resolution conjecture and the orbifold Gromov-Witten/Donaldson-Thomas correspondence.
The Graduate School in Collaboration with the Institute for Learning and Teaching (TILT), and the Career Center, is pleased to present the 2013 Graduate School Professional Series Mini-Conference on Saturday, April 27, 2013 from 9 am to 4 pm in the TILT building. The theme of the conference is "Striking a Balance and Leaping into Your Future." The morning session will focus on managing the pressures and priorities of graduate school including supervision and mentoring others during your graduate career, and how to navigate a professional conference successfully in order to present research effectively, develop an effective network, and prepare to embark on the post graduate school career. Breakfast, refreshments and lunch will be served, and the lunch meal will be accompanied by a keynote talk by Dr. Toni Zimmerman. In the afternoon, sessions will focus on effective job searching, applying and interviewing for careers in academia, the government and the private sector. Graduate Students are free to attend all or part of the program. Graduate Students must register for the Mini-conference. To do so, please visit http://tilt.colostate.edu/grad/. Please contact me (lawrence.goodridge@colostate.edu) with any questions.
Mathematical Sciences Research Institute (MSRI)
2013 Summer Graduate Schools
Below you will find detailed information about the nomination process, a brief description of each summer school, and a flyer for distribution.
For details, please visit: https://www.msri.org/web/msri/scientific/workshops/summer-graduate-workshops