December 9, Hantaek Bae, UC DavisColloquium, 458 Campbell Hall, 9-10AM. Gevrey regularity of the Navier-Stokes equations and applications.
Abstract: It is important to investigate regularity and long-time behavior of the Navier-Stokes equations in connection with turbulence. Turbulence is closely related to length scales, which can be measured in term of the radius of analyticity of solutions. A decisive role is played by Gevrey regularity that provides the radius of analyticity. This approach has several applications in the study of long term dynamics. We here show decay rate of weak solutions and Log-Lipschitz regularity of mild solutions of the 3D Navier-Stokes equations.
Dec 6, Jason Starr, Stony BrookColloquium, 458 Campbell Hall, 2:30-3:30PM. Solving polynomials, finding fixed points, splitting fibrations
Abstract: There are strong analogies between the problem of finding fixed points for group actions on a manifold, finding sections of a fibration of topological spaces, and finding solutions of systems of polynomial equations. In particular, every fibration over a curve whose fibers are path connected admits a section, as does every fibration over a surface whose fibers are simply connected. There are algebro-geometric analogues of path connected and simply connected: "rationally connected" and "rationally simply connected" complex projective manifolds. Work of Graber, Harris and myself and of de Jong, He and myself establishes analogues of the fibration result in algebraic geometry. Chenyang Xu and I combined this with beautiful work of Helene Esnault to explain several classical results in number theory (over global function fields): the Tsen-Lang theorem, a theorem of Brauer-Hasse-Noether, and the split case of a theorem of Harder on Serre's "Conjecture II".
Our former colleague Eugene R. (Gene) Wilson passed away on August 21. Gene was an alumnus of UAB (BS 1977 and MA 1979) and later, from 1983 to his retirement in 2003, the Director of the Mathematics Resource Center (a precursor of today's MLL). Click here for more information.
- Math major Kiersten Engel ranked among the top 200 international scorers on the Bloomberg Aptitude Test, click here for more details.
- Former Fast-track student Ethan Mallick Hossain (MS May 2013) was selected for an internship at the White House, click here for more details.
- Prof. P. Jung won a Collaboration Grant for Mathematicians from the Simons Foundation.
- On July 15 Mitch Wyatt successfully defended his Ph.D. thesis Uniqueness of the Potential in Schrodinger's Equation with One Boundary Measurement. His studies were directed by Dr. I. Knowles.
- On July 12 Ross Ptacek successfully defended his Ph.D. thesis Laminations and the dynamics of iterated cubic polynomials. His studies were directed by Drs. A. Blokh and L. Oversteegen.
- Alexandra Fry received the CAS God of the Speed of Light Scholarship.
- Samuel Wunderly is the recipient of the 2013-2014 Warner Scholarship.
- Lara Putnam was awarded the 2013-2014 Travis Wood Memorial Scholarship.
- Jordan Walton received the 2013-2014 O'Neil Scholarship.
- Tori Gandy, Miriam Hood, and Micaela Kuhn each received a Mathematics Department Scholarship for 2013-2014.
- Prof. Nandor Simanyi proved a fifty-year-old conjecture of Ya. G. Sinai, the "Boltzmann-Sinai Ergodic Hypothesis", which states that any classically interacting hard sphere system in a box with periodic boundary conditions is ergodic (chaotic). This result is an important building block in the theoretical foundations of statistical physics. The paper may be found here.
- Prof. Nikolai Chernov was invited to give a lecture at the International Congress of Mathematicians (ICM) to be held in August 2014 in Seoul, Korea. An invitation to the ICM is a very significant honor. Congratulations.
- The following mathematics students will present at this year's Expo on Friday, April 26 at the Campus Recreation Center:
- Gaurav Verma (oral presentation at 9:30am)
- Posters by Jennifer Baggett, Rachel Ejem, Alexandra Fry, Mallick Hossain, and Alicia McCormack
- Prof. Chernov won an individual research grants from NSF. You may click his name for the award abstracts.
- PhD student Matthew Bledsoe and Fast-track student Ethan Mallick Hossain received a College of Arts and Sciences Dean’s Award as Outstanding Graduate Student and Outstanding Undergraduate Student, respectively. They will be recognized at the Honors Convocation on Tuesday, May 7 at 3pm.
- On May 1 Alexei Korepanov successfully defended his Ph.D. thesis Small Perturbations in Hard Balls Dynamics. His studies were directed by Drs. N. Chernov and N. Simanyi.
- On April 18 Jacob Chapman successfully defended his Ph.D. thesis Spectral properties of random block operators. His studies were directed by Dr. G. Stolz.
- Former math student John Knox (BS 1988), now an Associate Professor of Geography at the University of Georgia, won Georgia's Richard B. Russell Award for Excellence in Undergraduate Teaching, the university's highest early career teaching honor. Click here for more details.
- Our colleague Dr. James (Jim) Ward passed away on Monday, March 25, 2013. His wife Ana has created the Dr. James Robert Ward, Jr. Memorial Scholarship Fund in recognition of Jim's passion for mathematics and the education of mathematics students. Click here for more information.
- On March 7 Matthew Bledsoe successfully defended his Ph.D. thesis Resonances and Inverse Scattering. His studies were directed by Dr. R. Weikard.
- Matthew Bledsoe, Joseph Olson, and Mallick Hossain were chosen as the department's Outstanding PhD Student, Outstanding Master's Student, and Outstanding Undergraduate Student, respectively. Congratulations to all.