Topics for students projects third year /Msc / Phd Prof Mina Teicher Ba-Ilan University 27.7.08 - PowerPoint PPT Presentation

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Topics for students projects third year /Msc / Phd Prof Mina Teicher Ba-Ilan University 27.7.08

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1. Braid Monodromy computations. 2. Lattices and signature. 3. Fundamental groups. 7 ... 3. Braid Monodromy Type. 4.Fundamental groups. 5.Discrete invariants. 6. ... – PowerPoint PPT presentation

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Title: Topics for students projects third year /Msc / Phd Prof Mina Teicher Ba-Ilan University 27.7.08


1
Topics for students projectsthird year /Msc /
Phd Prof Mina TeicherBa-Ilan
University27.7.08
2
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

3
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

4
Current NeuroMath Students
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5
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

6
Line Arrangements
  • 1. Braid Monodromy computations
  • 2. Lattices and signature
  • 3. Fundamental groups
  • .

7
Singular Curves
  • 1. Braid Monodromy computations
  • 2. Conic-line arrangements
  • 3. Fundamental groups
  • 4.Blow-ups
  • .

8
Algrebraic surfaces
  • 1. Degeneration to union of plans
  • 2. Branch curves properties
  • 3. Braid Monodromy Type
  • 4.Fundamental groups
  • 5.Discrete invariants
  • 6. Geography
  • .

9
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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