Welcome to the Department of Mathematics


16th Israeli mini-workshop

The Center for Mathematical Sciences is pleased to invite you to 16th Israeli mini-workshop on applied and computational mathematics.

30th of December 2014, at Batler Seminar Auditorium Forchheimer, Technion

For more detail and registration, Look us up in the CMS activities

Meeting organizer: Nir GavishSeries organizers: Raz Kupferman, Vered Rom-Kedar and Edriss Titi

ברכות חמות לרחלי טובול על זכייתה בפרס- עובד מצטיין טכניוני

ברכות חמות לרחלי טובול על זכייתה בפרס "עובד מצטיין טכניוני"

בפעם השניה!

כל הכבוד!

רון הולצמן

דיקן הפקולטה למתמטיקה

Israel Pollak Distinguished Lecture Series 2014

This year the Department of Mathematics hosted the Israel Pollak Distingueshed lecture series.

The Lectures were given by

Prof. Martin R. Bridson

Whitehead Professor of Pure Mathematics Mathematical Institute

University of Oxford

ברכות לזוכה פרס ינאי ולמרצים מצטיינים

אדי מאיר-וולף זכה בפרס ינאי למצוינות בחינוך אקדמי לשנת תשע"ד.

 בנוסף, בסמסטר אביב תשע"ד, נבחרו על-פי ציוני משאל המרצה הטוב ל:

מרצה מצטיין טכניוני

משה ברוך

אביב צנזור (שגם צוין לשבח בקורס נוסף)

רון הולצמן

ציון לשבח על הצטיינות בהוראה

אורי אליאש

עליזה מלק

לידיה פרס-הרי (שהיא גם מרצה מצטיינת מתמידה)

 ברכות לכולם על הזכייה, ואיחולי הצלחה בסמסטר החדש ובכלל!

Faculty Activities
24/11/2014, Monday, 15:30
Colloquium- Robert Adler
24/11/2014, Monday, 15:30

Tittle: On the Topology of Random Systems

Speaker: Robert Adler

Place: Sego 1, Technion

Abstract:  My plan is to review and explain a number of results where topology - both algebraic and differential - arises as a natural tool to understand the structure of random systems. Problems of this nature have become important recently due to the rapid growth of the new areas of "Applied Algebraic Topology" and "Topological Data Analysis", which are giving rise to the need to develop a fundamental theory of "Random Topology". Random Topology is needed both to provide a solid mathematical foundation for techniques already in use, and to develop a deeper understanding of how probability and topology intertwine. One of the major discoveries of this research in Random Topology has been to realise that Nature abhors complicated homology groups, a statement that I will try to make precise during the colloquium. No background beyond undergraduate Probability and Topology will be assumed in the talk.

25/11/2014, Tuesday, 14:30
PDE and Applied Mathematics Seminar- Guy Gilboa
25/11/2014, Tuesday, 14:30

Tittle:  A spectral variational approach for image analysis

Speaker: Guy Gilboa

Place: Amado 719, Technion

Abstract: Linear eigenfunction decomposition is a very powerful technique used broadly in the signal and image processing community. In this talk an alternative variational processing methodology is introduced which is based on nonlinear eigenfunction analysis, referred to as a spectral approach. Some motivation will be given and analogues to Fourier filtering methods and linear eigenfunction decomposition will be drawn. A spectral total-variation framework will be presented. The more general case of one-homogeneous functionals will be discussed as well. Applications for image representation, decomposition and texture analysis will illustrate possible benefits of this framework.

26/11/2014, Wednesday, 12:30
Seminar Lecture for PhD- Michael Assa
26/11/2014, Wednesday, 12:30

Tittle: On backscattering of a focused ultrasound beam from cells and on the dynamics of intra-membrane nanobubbles

Speaker: Michael Assa   

Place: Technion, Amado 509

Abstract: Ultrasound is extensively used in medicine for imaging. In the last decades therapeutic ultrasound is becoming increasingly popular whereas many ultrasound manipulations of cells and tissues are being studied. We have provided four years ago a comprehensive explanation for the generation of sub-cellular-level forces by an acoustic pressure wave. Using a physical model that incorporates molecular forces with bubble dynamics and gas diffusion, we predicted that ultrasound induces a pulsating bubble in the intra-membrane space between the two lipid leaflets. Experiments were conducted under the assumption that cells in culture when exposed to ultrasound will behave as a cluster of micro- and nano-bubbles. Cell monolayers in a 12-well plate were placed at the focal point of a focused ultrasound beam of 0.5MHz (CW) with pressure amplitude that varies in the range 0.1-2MPa (at the focus). Hydrophobic polystyrene particles with 10-20µm in diameter were tested as well. The backscattered beam on the ultrasound source surface was measured and analyzed. Backscattered pressure amplitudes that were detected by the ultrasound source acting as a receiver reached surprisingly high levels relative to the amplitudes at the focal point. This is typical for a cluster of gas bubbles, each of them acting like a point source that emits spherical waves; being synchronized sources, when they interact with each other they generate an interference peak at the receiver. Theoretical simulations of a spherical cell that is surrounded by an intra-membrane active space were developed analytically and solved numerically. We used Fick’s law for gas transport, and modified Rayleigh-Plesset integral momentum and energy equations for bubble dynamics. The simulated dynamics of pulsating gas pockets of the bilayer sonophores, together with Euler Momentum equation and mass conservation allowed to calculate the pressure amplitudes and the phase shift of the acoustic waves propagating away from the sonophores. Qualitative similarity was found between our predicted results and the measured backscattering from cells and particles that can be explained by pulsating nano- or micro- bubbles. Different cell types demonstrated different acoustic signatures of pressure amplitude and phase that most probably result from different membrane composition and structure. The qualitative agreement between experiments and theory provides a valuable support for the theory of ultrasound induced intra-membrane cavitation. Moreover, this new understanding might pave the way for the development of technology of ultrasound imaging at the cellular level.

Center for Mathematical Sciences Activities
30/12/2014, Tuesday, 09:00
16th Israeli mini-workshop on applied and computational mathematics
30/12/2014, Tuesday, 09:00

We are pleased to invite the Israeli applied math community to participate in the 16th Israeli Mini-Workshop in Applied and Computational Mathematics, to be held at the Technion  on Tuesday, December 30th, 2014.

The idea is to create a forum for researchers in applied mathematics, especially younger faculty and students, to get to know other members of the community, and promote discussion and collaboration.

Participation in the workshop is free, but you are asked to register in this website or via link, so we can be adequately prepared for the day. Please register by 12:00 on Sunday, November 30th.

Meeting organizer: Nir GavishSeries organizers: Raz Kupferman, Vered Rom-Kedar and Edriss Titi

For more detail and registration, please visit our Workshop webpage

For administrative information please contact: Shiri Kaplan- Shabat, Workshop Coordinator Phone: +972-(0)4-8294276\8 Fax: +972-(0)4-8293388 E-mail: cms@math.technion.ac.il

11/01/2015 - 16/01/2015
CMS Special Lecture Series- Prof. Yann Brenier
11/01/2015 - 16/01/2015

The Monge-Ampère equation in mathematical modelling 

Prof.Yann Brenier

CNRS, Ecole Polytechnique, Palaiseau France

Lecture 1: A direct application of the Monge-Ampère equation in Cosmology

Monday, 12 Jan, 2015 at 15:30

Lecture 2: The semi-geostrophic model of atmosphere and ocean dynamics.

Tuesday, 13 Jan, 2015 at 15:30

Lecture 3: Maps of minimal distortion and magnetohydrodynamics

Thursday 15 Jan, 2015 at 15:30

 Lectures will be held at Amado building, Auditorium 233, Technion

Light refreshments will be given before the talks in the teacher's lounge 8th floor.

For further administrative information please contact: Shiri Kaplan- Shabat, CMS Coordinator

Phone: +972-(0)4-8294276\8 Fax: +972-(0)4-8293388 E-mail: cms@math.technion.ac.il

26/04/2015 - 01/05/2015
CMS Special Lecture Series- Prof. John Hinch
26/04/2015 - 01/05/2015


For further administrative information please contact: Shiri Kaplan- Shabat, CMS Coordinator

Phone: +972-(0)4-8294276\8 Fax: +972-(0)4-8293388 E-mail: cms@math.technion.ac.il