Megan Schmidt is obsessed with spirals. Her obsession got me hooked — for hours — on a math problem. I thought it would take maybe an hour or two, but I’m still at it and I’ve probably been working four or five hours. I’ve been having so much fun with it. Here’s the problem. Look at the […]
* 1981 in Teheran (Iran)
Royal Institute of Technology (KTH), Sweden
EMS Prize 2016
„For her outstanding research regarding the development and analysis of numerical algorithms for partial differential equations with a focus on applications to problems with dynamically changing geometry.“
Sara Zahedis research interests lie in the development and analysis of computational methods, in particular finite element methods, for solving partial differential equations on dynamic geometries. The main application she has in mind is multiphase flows. She is also interested in numerical methods for representing and evolving interfaces separating immiscible fluids.
- 2014: Assistant Professor in Numerical Analysis, KTH, Stockholm (Swe)
- 2011: Postdoctoral Position, Uppsala University (Swe)
- 2011: PhD in Numerical Analysis, KTH, Stockholm (Swe)
- 2006: Master of Science with a major in Mathematics, KTH (Swe)
- 2006: Teaching Assistant, Dept. of Numerical Analysis, KTH (Swe)
- 2003: Teaching Assistant, Stockholm University (Swe)
The conjecture, if true, would have some older famous conjectures as consequences. For instance, the surjectivity part implies the Kadison–Kaplansky conjecture for a discrete torsion-free group, and the injectivity is closely related to the Novikov conjecture.
The origins of the conjecture go back to Fredholm theory, the Atiyah–Singer index theorem and the interplay of geometry with operator K-theory as expressed in the works of Brown, Douglas and Fillmore, among many other motivating subjects.
From Wikipedia, the free encyclopedia
- Introduction to the Baum-Connes Conjecture Alain VALETTE (PDF)
- A Survey on the Baum-Connes Conjecture (PDF)
At the wonderful National Cinema Museum, Turin – holiday time this week! Thinking about Maths in the movies led me to this great collection of movie clips featuring Mathematics from Harvard University: http://www.math.harvard.edu/~knill/mathmovies/
Source: Quanta Magazine, Jul 2016 Feynman diagrams look to be pictures of processes that happen in space and time, and in a sense they are, but they should not be interpreted too literally. What they show are not rigid geometric trajectories, but more flexible, “topological” constructions, reflecting quantum uncertainty. In other words, you can be […]
In the second half of 2015, the American Math Society will publish a five volume (total about 3200 pages) set of books that is a graduate analysis text with lots of additional bonus material. Included are hundreds of problems and copious notes which extend the text and provide historical background. Efforts have been made to find simple and elegant proofs and to keeping the writing style clear
Part 1 Real Analysis:
Point Set Topology, Banach and Hilbert Space, Measure Theory, Fourier Series and Transforms, Distribution Theory, Locally Convex Spaces, Basics of Probability Theory, Hausdorff Measure and Dimension.
Part 2a Basic Complex Analysis:
Cauchy Integral Theorem, Consequences of the Cauchy Integral Theorem (including holomorphic iff analytic, Local Behavior, Phragmén-Lindelöf, Reflection Principle, Calculation of Integrals), Montel, Vitali and Hurwitz’s Theorems, Fractional Linear Transformations, Conformal Maps, Zeros and Product Formulae, Elliptic Functions, Global Analytic Functions, Picard’s Theorem.
Part 2b Advanced Complex Analysis:
Conformal metric methods, topics in analytic number theory, Fuchsian ODEs and associated special functions, asymptotic methods, univalent functions, Nevanlinna theory.
Part 3 Harmonic Analysis:
Maximal functions and pointwise limits, harmonic functions and potential theory, phase space analysis, Hp spaces, more inequalities.
Part 4 Operator Theory:
Eigenvalue Perturbation Theory, Operator Basics, Compact Operators, Orthogonal Polynomials, Spectral Theory, Banach Algebras, Unbounded Self-Adjoint Operators.
Reference: Click Here
In 2014, Mirzakhani became both the first woman and the first Iranian honored with the Fields Medal, the most prestigious award in mathematics. The award committee cited her work in “the dynamics and geometry of Riemann surfaces and their moduli spaces.”
More Information: https://en.wikipedia.org/wiki/Maryam_Mirzakhani