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Topics for students projects third year /Msc / Phd Prof Mina Teicher Ba-Ilan University 27.7.08. Table of Topics. Braid Group – structure and properties Line arrangements: Topology and combinatory Singular curves Algebraic surfaces Application to Cryptography
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Topics for students projectsthird year /Msc/Phd Prof Mina TeicherBa-Ilan University27.7.08
Table of Topics • Braid Group – structure and properties • Line arrangements: Topology and combinatory • Singular curves • Algebraic surfaces • Application to Cryptography • Application to Computer Vision • Brain Research In all topics there are relevant projects for every level
Current Math Postdoc/Students • Dvora Cohen • Meital Eliyahu • Amiel Ferman • Michael Friedman • Eran Liberman • Michael Belhadeb • Avi Zulti • Artur Muftachov • Meirav Amram • Arkadius Kalka • Rebecca Lehman • Robert Schwartz
Current NeuroMath Students לילך אביטן יקיר ברצ'נקו יקי שטרן אורי ירושלמי אמיר קלקס יואל פנחס תומר גזית אורן שמיאל
New Algorithms for the Braid Group New Algorithms for the Braid group: 1.Topological Algorithm for the Braid Word Problem 2.The Conjugacy Problem 3. The Hurwitz Equivalence
Line Arrangements 1. Braid Monodromy computations 2. Lattices and signature 3. Fundamental groups .
Singular Curves 1. Braid Monodromy computations 2. Conic-line arrangements 3. Fundamental groups 4.Blow-ups .
Algrebraic surfaces 1. Degeneration to union of plans 2. Branch curves properties 3. Braid Monodromy Type 4.Fundamental groups 5.Discrete invariants 6. Geography .
List of Projects in NeuroMath Theory: Spikes Synchronization and Hand Motion (Dr Tomer Shmiel, TBD) The EEG Inverse Problem- Analytic Solution (Lilach Avitan) The EEG Inverse Problem- Genetic Solution (Amir Zilberstein) Evolution of Neural Systems ( Uri Yerushalmi) Topological methods in Psyco-Physics ( TBD) Application to Medicine and Bio-Tech Localizing Epileptic Activity and Advance Detecting of Attacks ( Yaki Stern, Tomer Gazit) ADHD ( Lior Frenkel) Recognition of Sleeping Phenomena ( Oren Shmiel) Artificial Vision( Yevgenni Biederman, Michael Belhadeb, Hadas Mann), Recognizing Insects by their noise recording (Yoel Pinchas) From Sleeping phenomenas to Genicology ( TBD) TBD= I am looking for a student