Transcript 27.7.08 Ba-Ilan University Topics for students projects Prof Mina Teicher

Topics for students projects
third year /Msc / Phd
Prof Mina Teicher
Ba-Ilan University
27.7.08
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Table of Topics
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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 2
Current Math Postdoc/Students
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Dvora Cohen
Meital Eliyahu
Amiel Ferman
Michael Friedman
Eran Liberman
• Michael Belhadeb
• Avi Zulti
• Artur Muftachov
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Meirav Amram
Arkadius Kalka
Rebecca Lehman
Robert Schwartz
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‫‪Current NeuroMath Students‬‬
‫לילך אביטן‬
‫יקיר ברצ'נקו‬
‫יקי שטרן‬
‫אורי ירושלמי‬
‫אמיר קלקס‬
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‫יואל פנחס‬
‫אורן שמיאל‬
‫תומר גזית‬
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
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Line Arrangements
1. Braid Monodromy computations
2. Lattices and signature
3. Fundamental groups
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Singular Curves
1. Braid Monodromy computations
2. Conic-line arrangements
3. Fundamental groups
4.Blow-ups
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Algrebraic surfaces
1. Degeneration to union of plans
2. Branch curves properties
3. Braid Monodromy Type
4.Fundamental groups
5.Discrete invariants
6. Geography
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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
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