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Topics for students projectsTopics for students projects

third year /Mscthird year /Msc // Phd Phd

Prof Mina TeicherProf Mina Teicher

Ba-Ilan UniversityBa-Ilan University

27.7.0827.7.08

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Table of TopicsTable of Topics1.1. Braid Group – structure and propertiesBraid Group – structure and properties

2.2. Line arrangements: Topology and combinatoryLine arrangements: Topology and combinatory

3.3. Singular curves Singular curves

4.4. Algebraic surfacesAlgebraic surfaces

5.5. Application to CryptographyApplication to Cryptography

6.6. Application to Computer VisionApplication to Computer Vision

7.7. Brain ResearchBrain Research

In all topics there are relevant projects for every levelIn all topics there are relevant projects for every level

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Current Math Current Math Postdoc/StudentsPostdoc/Students• Dvora CohenDvora Cohen• Meital EliyahuMeital Eliyahu• Amiel FermanAmiel Ferman• Michael FriedmanMichael Friedman• Eran LibermanEran Liberman

• Michael BelhadebMichael Belhadeb• Avi ZultiAvi Zulti• Artur MuftachovArtur Muftachov

• Meirav AmramMeirav Amram• Arkadius KalkaArkadius Kalka• Rebecca LehmanRebecca Lehman• Robert SchwartzRobert Schwartz

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Current NeuroMath StudentsCurrent NeuroMath Students

יקי שטרן

תומר גזית

אורי ירושלמי

אורן שמיאל

יקיר ברצ'נקו

יואל פנחס

לילך אביטן

אמיר קלקס

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New Algorithms for the Braid GroupNew Algorithms for the Braid Group

New Algorithms for the Braid group:New Algorithms for the Braid group:

11.Topological Algorithm for the Braid Word Problem.Topological Algorithm for the Braid Word Problem

2.2. The Conjugacy ProblemThe Conjugacy Problem

3. The Hurwitz Equivalence3. The Hurwitz Equivalence

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Line ArrangementsLine Arrangements

1. Braid Monodromy computations 1. Braid Monodromy computations

2. Lattices and signature2. Lattices and signature

3. Fundamental groups 3. Fundamental groups

. .

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Singular CurvesSingular Curves

1. Braid Monodromy computations 1. Braid Monodromy computations

2. Conic-line arrangements2. Conic-line arrangements

3. Fundamental groups3. Fundamental groups

4.Blow-ups4.Blow-ups

. .

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Algrebraic surfacesAlgrebraic surfaces

1. Degeneration to union of plans 1. Degeneration to union of plans

2. Branch curves properties2. Branch curves properties 3. Braid Monodromy Type3. Braid Monodromy Type

4.Fundamental groups4.Fundamental groups

5.Discrete invariants5.Discrete invariants

6. Geography6. Geography

. .

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List of Projects in List of Projects in NeuroMath NeuroMath

•Theory:Theory:

•Spikes Synchronization and Hand Motion (Dr Tomer Shmiel, TBD)Spikes Synchronization and Hand Motion (Dr Tomer Shmiel, TBD)•The EEG Inverse Problem- Analytic Solution (Lilach Avitan)The EEG Inverse Problem- Analytic Solution (Lilach Avitan)•The EEG Inverse Problem- Genetic Solution (Amir Zilberstein)The EEG Inverse Problem- Genetic Solution (Amir Zilberstein)•Evolution of Neural Systems ( Uri Yerushalmi)Evolution of Neural Systems ( Uri Yerushalmi)•Topological methods in Psyco-Physics ( TBD)Topological methods in Psyco-Physics ( TBD)

•Application to Medicine and Bio-TechApplication to Medicine and Bio-Tech

•Localizing Epileptic Activity and Advance Detecting of Attacks ( Yaki Stern, Localizing Epileptic Activity and Advance Detecting of Attacks ( Yaki Stern, Tomer Gazit)Tomer Gazit)•ADHD ( Lior Frenkel)ADHD ( Lior Frenkel)•Recognition of Sleeping Phenomena ( Oren Shmiel)Recognition of Sleeping Phenomena ( Oren Shmiel)•Artificial Vision( Yevgenni Biederman, Michael Belhadeb, Hadas Mann),Artificial Vision( Yevgenni Biederman, Michael Belhadeb, Hadas Mann),•Recognizing Insects by their noise recording (Yoel Pinchas)Recognizing Insects by their noise recording (Yoel Pinchas)•From Sleeping phenomenas to Genicology ( TBD)From Sleeping phenomenas to Genicology ( TBD)

•TBD= I am looking for a studentTBD= I am looking for a student