University of Crete - Department of Mathematics - Mihalis Kolountzakis

The Probabilistic Method (Talk Slides, in Greek)

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Mihalis Kolountzakis Professor Department of Mathematics University of Crete Knossos Avenue 714 09 Iraklio--Crete GREECE Office: Γ-111 Office hours for Fall 2009-10: Thu 9:00-11:00 Tel: +30-2810393834 (office) FAX: +30-2810393881 Home Address: 7 Aginora St, 714 09 Iraklio, GREECE E-mail: kolount AT math.uoc.gr and kolount AT gmail.com (preferred) (replace AT by the @ sign)

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Maria Loukaki, Photos, Education, Employment, My bookmarks.

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University of Crete - Department of Mathematics - Mihalis Kolountzakis

The Probabilistic Method (Talk Slides, in Greek)

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Research Interests

• Harmonic Analysis
  Extremal problems for trigonometric polynomials and positive definite functions.
  Applications to Number Theory.
  Applications to problems of Geometry (especially Tilings).
  
• Additive Number Theory
  Sets with distinct sums.
  Additive bases of the integers.
  Additive complements.
  Sum-free sets.
• Probabilistic Methods
  Applications in Harmonic Analysis and Additive Number Theory.
• Theoretical Computer Science
  Efficient constructions in Analytic and Number-Theoretic problems.

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Publications, Surveys and Lectures, CV. MathSciNet reviews of my papers

Mathematics seminars in Crete

Analysis Seminar at the Univ. of Crete

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University of Crete - Department of Mathematics - Mihalis Kolountzakis

The Probabilistic Method (Talk Slides, in Greek)

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Current Teaching -- Διδασκαλία αυτό το εξάμηνο

Problem blog (in Greek)
Θέματα για Μεταπτυχιακή Εργασία

Fall 10-11:
Harmonic Analysis -- Αρμονική Ανάλυση,
Discrete Mathematics -- Διακριτά Μαθηματικά

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Lecture Notes -- Διδακτικές Σημειώσεις

The probabilistic method (talk slides, pdf, in Greek), Lecture 1, Lecture 2, Lecture 3, Lecture 4
Formal Languages and Computability (in greek, ps, pdf),
Discrete Mathematics (in greek, pdf),
Discrete Probability (in greek, pdf, in progress),
Διαλέξεις προγραμματισμού για το Α' εξάμηνο

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Past teaching -- Διδασκαλία προηγουμένων εξαμήνων

Classes taught at the University of Crete, unless otherwise specified.

Spring 09-10:
Real Analysis -- Πραγματική Ανάλυση

Fall 09-10:
Θεωρία Μέτρου -- Measure Theory (graduate)
Μαθηματικά Ι (Τμ. Χημείας) - Math I (Dept of Chemistry)
Διαλέξεις προγραμματισμού για το Α' εξάμηνο

Spring 2008-09:
Συναρτησιακή Ανάλυση -- Functional Analysis,

Fall 2008-09:
Διακριτά Μαθηματικά -- Discrete Mathematics and Εισαγωγή στην Ανάλυση ΙΙ -- Introduction to Analysis II

Spring 2007-08:
Θεωρία Πιθανοτήτων (μεταπτυχιακό) -- Theory of Probability (graduate)

Fall 2007-08:
Μιγαδική Ανάλυση -- Complex Analysis and Πιθανοθεωρητικοί Αλγόριθμοι -- Randomized Algorithms (graduate)

Spring 2006-07:
Calculus III at GA Tech (Spring 06-07)

Fall 2006-07:
Πιθανότητες Ι -- Probability I (Fall 06-07) and Πιθανότητες (Μεταπτυχιακό) -- Probability (Graduate) (Fall 06-07)

Spring 2005-06:
Πιθανότητες ΙΙ -- Probability II (Spring 05-06) and Μαθηματικά ΙΙ για ΤΕΤΥ -- Calculus II (Spring 05-06)

Fall 2005-06:
Measure Theory (graduate)

Spring 2004-05:
Calculus III (at Georgia Tech)

Fall 2004-05:
Calculus III (at Georgia Tech)

Spring 2003-04:
Stochastic Processes (graduate)

Fall 2003-04:
Discrete Mathematics I and Formal Languages and Computability (Discrete Mathematics II)

Spring 2002-03:
Stochastic Processes (undergraduate) and Stochastic Processes (graduate).

Fall 2002-03:
Discrete Mathematics I and Discrete Mathematics II (Formal Languages)

Spring 2001-02:
Probability Theory (graduate)

Fall 2001-02:
Introduction to Probability Theory.

Spring 2000-01:
Introduction to Computing and The Problem Seminar

Fall 2000-01:
Measure Theory (graduate)

Spring 1999-00:
Group Theory and The Problem Seminar.

Fall 1999-00:
Introduction to Analysis II

Spring 1998-99:
The problem seminar.

Fall 1998-99:
Math 243 (Multivariable Calculus and Vector Analysis) and Math 347 (INTRODUCTION TO HIGHER ANALYSIS: REAL VARIABLES) (Univ. of Illinois, U-C).

Spring 1997-98:
Discrete Mathematics (Math 205), and the Problem Seminar (Math 219).

Fall 1997-98:
Complex Analysis (Math 211).

Spring 1996-97:
Math/CS 313 (Combinatorial Mathematics) and Math 315 (Linear Transformations and Matrices) (Univ. of Illinois, U-C).

Fall 1996-97:
Math 315: Linear Transformations and Matrices (Univ. of Illinois, U-C). 

University of Crete - Department of Mathematics - Mihalis Kolountzakis

The Probabilistic Method (Talk Slides, in Greek)

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Software

much: random multiple-choice questionnaires for LaTeX

University of Crete - Department of Mathematics - Mihalis Kolountzakis

The Probabilistic Method (Talk Slides, in Greek)

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Mathematics in Crete

• Fourier and Functional Analysis group
• Analysis Seminar
• All Mathematics Seminars
• Discrete Math. Seminar
• Analysis activities in Crete (conferences, visits, seminars)
• Visiting us?