I - 34151 Trieste Italy

*(+39) 040 2240 111*

*pio@ictp.it*

- Joint ICTP/SISSA PhD Programme in Physics and Mathematics
- Joint PhD Programme, Earth Science and Fluid Mechanics
- Physics PhD Programme
- Joint Masters in Physics
- Joint ICTP/Collegio Carlo Alberto Program in Economics
- International Master, Physics of Complex Systems
- Master of Advanced Studies in Medical Physics
- Masters in High Performance Computing

Contacts:

Since 1986 the Mathematics section at ICTP has played an important role in fostering mathematics research and education in developing countries. Research is carried out in various fields of Mathematics by the permanent staff, postdocs, and graduate students, as well as by scientific visitors from all over the world.

Typically, the section organizes from 5 to 10 focused activities a year involving an average of 100 participants. These activities are the core of the section's activities and are crucial for disseminating current mathematics knowledge of the highest level as widely as possible.

In addition the Mathematics section, like all the other sections at ICTP, participates in the Diploma program. Since 2011 Diploma students can apply to stay on to work on a PhD in Mathematics in a joint program with SISSA.

The Mathematics section also offers opportunities for postdocs and research fellows; click here for latest announcements.

Once a month, the section organises The Basic Notions Seminar Series to broaden the understanding of some mathematical concepts.

9 May 2019

Join the effort to inspire and train the next generation

14 Mar 2019

N.S. Narasimhan reflects on the late mathematician's contributions

28 Nov 2018

New partner institute with University of the Chinese Academy of Sciences inaugurated

No activities at the moment
read more

`
Europe/Rome
2019-07-15 08:00:00
2019-07-30 22:00:00
EAUMP - ICTP Summer School on Algebraic Topology and its Applications | (smr 3310)
The Eastern Africa Universities Mathematics Programme (EAUMP) courtesy of the International Science Programme (ISP) of Sweden; jointly with ICTP, Trieste, Italy; Sida, CIMPA, DAAD, LMS/AMMSI, COMPOSITIO is organizing a three weeks summer School on Algebraic Topology and its Applications to be held at Makerere University, Kampala, Uganda from 15th July to 30th July, 2019.
It is intended that the School will take the audience comprising young academic staff members and advanced graduate students (M.Sc, Ph.D and Postdoctoral Students) of Mathematics from the Eastern African region and beyond. The school is the next one in a series of schools organized under the Eastern African Universities Mathematics Programme (EAUMP). The most recent EAUMP schools were organized in 2015 at Makerere University, Uganda, on Experimental Pure Mathematics; in 2016 at the University of Rwanda on Number Theory; in 2017 at the University of Nairobi on Modern Functional Analysis; and in 2018 at the University of Dar es Salaam on Homological methods in Algebra and Geometry. All the schools are within one of the main aims of EAUMP which is to improve the pure mathematics in the region.
The member Universities of the EAUMP are University of Dar es Salaam, Tanzania; University of Nairobi, Kenya; University of Zambia, Zambia; Makerere University, Uganda; University of Rwanda, Rwanda.
GOALS OF THE SCHOOL
To introduce participants to current trends in Algebraic Topology and its applications, including knot theory and Topological Data Science, and provide research topics for masters and PhD studies.
To provide a forum for African mathematicians to interact, exchange ideas and initiate collaborations.
Identify talented students for possible PhD programs.
To produce digital lecture material for dissemination, which contributes to the training of master students in the Eastern Africa region.
STURCTURE AND PROGRAMME
As in the years 2013-2017, participants will be asked to submit mini-projects on the material studied at the School, with the best submissions receiving prizes/awards. They will work on their projects after the end of the School and will submit them during the third week of the school.
Here is the detailed course plan for the School.
Week 1: Introductory courses
Course 1: Introductory Topology
Lecturer: Venuste Nyagahakwa (University of Rwanda)
Description: This course will introduce the basic ideas of topology, starting with an abstract definition of topological space, and treating many examples.
Course 2: The Fundamental Group
Lecturer: Jean-Baptiste Gatsinzi (Botswana Institute of Science and Technology)
Description: The fundamental group is a basic but key algebraic invariant of a topological space. This course will define this group and give some interesting examples of how to compute it.
Course 3: Introduction to knot theory
Lecturer: Balazs Szendroi (University of Oxford)
Description: A knot is a tangled piece of rope in the three dimensional space, with the two loose ends glued together. Knot theory asks questions such as: can this knot be untangled by continuously deforming the rope? Are there ways to tell two knots apart? This course will discuss these motivating questions and present some ideas how to solve them.
Week 2: Advanced courses
Course 3: Manifolds
Lecturer: Claudia Scheimbauer (NTNU, Trondheim)
Description: Manifolds provide a very interesting class of examples of topological spaces, of great interest in applications to geometry, physics and elsewhere. This course will introduce this notion with many examples, mainly from dimensions 1, 2 and 3.
Course 4: Topological Data Analysis
Lecturer: Ulrike Tillmann (University of Oxford)
Description: Topological data analysis is a recent and fast-growing field providing a set of new topological and geometric tools to infer global features from complex data. This course will give an introduction to this circle of ideas.
SCHOOL PARTICIPATION
Online application form is available at http://indico.ictp.it/event/8699/, and will close on 28th April, 2019. Alternative request for participation can be done by originating an email to kasozi@cns.mak.ac.ug copied to ssevviiri@cns.mak.ac.ug, szendroi@maths.ox.ac.uk. Only those applicants who will be successful shall be contacted. Letters of invitation will be issued to participants upon request for the processing of travel documents or soliciting for funding.
INTERNATIONAL ORGANISING COMMITTEE
Leif Abrahamson (University of Uppsala, Sweden), Prof. Bengt-Ove Turesson (Linkoping University, Sweden), Fernando Rodriguez Villegas (ICTP, Italy), Balazs Szendroi (University of Oxford, UK), Patrick Weke (University of Nairobi, Kenya).
LOCAL ORGANIZING COMMITTEE
David Ssevviiri (Makerere University), Juma Kasozi (Makerere University), John Mango Makerere University), Patrick Weke (University of Nairobi), Jared Ongaro (University of Nairobi), Eunice Mureithi (University of Dar es Salaam), James Makungu (University of Dar es Salaam), Michael Gahirima (UR-CST, Nyarugenge), Wellars Banzi (UR-CST, Nyarugenge), Mubanga Lombe (University of Zambia), Isaac D. Tembo (University of Zambia).
Kampala - Uganda
ICTP
pio@ictp.it
`
15 Jul 2019
- 30 Jul 2019

» EAUMP - ICTP Summer School on Algebraic Topology and its Applications | (smr 3310)

`
Europe/Rome
2019-07-15 08:00:00
2019-07-26 22:00:00
ICTP School on Geometry and Gravity | (smr 3311)
The purpose of the School is to expose graduate students and young researchers to a variety of topics, techniques and lines of research of common interest to geometers and physicists. The activity is intended for theoretical physicists and mathematicians with knowledge of Differential geometry and General Relativity.
Topics:
Black Holes,
Modified Gravity Theories,
AdS/CFT Correspondence,
Einstein Constraint Equations,
Mass in General Relativity,
Cosmological Solutions.
School Lectures:
C. CEDERBAUM, University of Tubingen, Germany
P. CHRUSCIEL, University of Vienna, Austria
M. DAFERMOS, Princeton University, USA and University of Cambridge, UK
H. REALL, DAMTP, University of Cambridge, UK
R. SCHOEN, University of California Irvine, USA
R. WALD, University of Chicago, USA
T. WISEMAN, Imperial College London, UK
N. YUNES, Montana State University, USA
Grants:
A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.
ICTP
ICTP
pio@ictp.it
`
15 Jul 2019
- 26 Jul 2019

» ICTP School on Geometry and Gravity | (smr 3311)

`
Europe/Rome
2019-09-16 08:00:00
2019-09-20 22:00:00
School and Workshop on Mixing and Control | (smr 3324)
This activity is part of a two-week event consisting of
Week 1: School and Workshop on Mixing and Control (16 - 20 September)
Week 2: School and Workshop on Random Matrix Theory and Point Processes
(23 - 27 September)
To participate in both activities you need to submit two distinct applications.
Week 1: Please click on the link "Apply here" on the left hand-side column
Week 2: Please apply at: http://indico.ictp.it/event/8900/
DEADLINE for requesting participation for both weeks: 15 MAY 2019
==========================================================
Organizers:
A. Agrachev, SISSA, Trieste
A. Bufetov, Marseille & Steklov Institute
T. Grava, SISSA & Bristol
A. Guionnet, ENS Lyon
S. Kuksin, Paris & Shandong University
Local Organizer:
S. Luzzatto, ICTP, Trieste
The topics to be discussed at the activity are at the forefront of current research in Random Matrix Theory, Point Processes, Dynamical Systems and Control Theory.
One of the main goals of the School and Workshop is to bring this material to both established and young mathematicians from all developing countries. Mini courses will be given as well as more advanced reserach seminars.
The activity will be organized as two thematic weeks on interrelated topics. Each week will consist of one or two mini courses and some seminar speakers.
Week 1: Mixing and Control
Mixing and control central topic is the study, with the help of the mathematical control theory, of ergodic and mixing properties of dynamical systems stochastically perturbed by a very degenerate noise. This concerns the systems governed by nonlinear PDEs and ODEs. We also plan to discuss mathematical aspects of the non-equilibrium statistical physics and some other topics.
Week 2: Random Matrix Theory and Point Processes
The second week will focus on point processes arising in the study of random matrices such as determinantal point processes. These point processes satisfy the Kolmogorov 0-1 Law and the Central Limit Theorem of Soshnikov, are rigid in the sense of Ghosh and Peres and obey an analogue of the De Finetti Theorem. Palm-Khintchine theory for our point processs will be emphasized, as well as the connection with the theory of integrable systems. Numerous open problems will be discussed, in particular, those related to pfaffian point processes.
Topics:
Point process;
Random matrices;
Integrable probability;
Integrable systems;
Mixing;
Stationary measure;
Markov systems;
Nonholonomic constraints;
Controllability;
Lecturers:
A. Agrachev, SISSA, Trieste
A. Bufetov, Marseille & Steklov Institute
A. Guionnet, ENS Lyon
S. Kuksin, Paris & Shandong University
Speakers:
F. Augeri, Weizmann, Israel
F. Baudoin, Purdue Univ.
C. Bordenave, Toulose, France
U. Boscain, CNRS, Sorbonne Univ.
A. Bufetov, MIT
M. Cafasso, Angers, France
*I. Corwin, Columbia University
N. Cuneo, University Paris-Diderot
A. de Bouard, Ecole Polytechnique
A. Debussche, ENS Rennes
A. Dymov, Steklov Insitute, Moscow
J-P. Eckmann, University of Geneva
*L. Erdoes, Wien, Austria
N. Glatt-Holtz, Tulane University
H. Guan, Tsinghua University
V. Jaksitch, McGill University
I. Krasovsky, Imperial College
M. Krishnapur, Bangalore, India
*A. Kupiainen, University of Helsinki
K. Mc Laughlin, Colorado State University
V. Nersesyan, University of Versailles
P. Nikitin, Steklov, St. Petersburg
G. Olshanski, ITP, RAS, Russia
S. Peche, LPSM, Paris, France
Y. Qiu, CNRS, France
A. Ramirez, Pontificia Universidad Catolica de Chile
R. Raquepas, University Grenoble Alpes (Institut Fourier)
T. Sasamoto, Chiba, Japan
M. Shcherbina, Kharkov, Ukraina
A. Shirikyan, Cergy-Pontoise
N. Tzvetkov, University of Cergy Pontoise
A. Veselov, Loughbourogh University
*H-T. Yau, Harvard
* to be confirmed
ICTP
ICTP
pio@ictp.it
`
16 Sep 2019
- 20 Sep 2019

» School and Workshop on Mixing and Control | (smr 3324)

`
Europe/Rome
2019-09-23 08:00:00
2019-10-04 22:00:00
School on Smooth and Homogeneous Dynamics | (smr 3271)
Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases. The closely related field of dynamical systems has a much older origin, going back at least to Newtonian mechanics. Both subjects have since flourished into extremely active subjects with connections to many parts of mathematics and the physical sciences. Progress has been especially rapid in the last few years in differentiable dynamics and homogeneous dynamics. Differentiable dynamics studies flows on smooth manifolds and has links with geometry while homogeneous dynamics is the study of subgroup actions on homogeneous spaces of Lie groups and has connections to number theory. It is the aim of this two week workshop to ga ther top experts in these two subjects to deliver expositions on the state of the art in these subjects. The first week will be devoted to differentiable dynamics and the second week to homogeneous dynamics.
Special Lectures:
Infosys-ICTS Ramanujan lectures - by Elon Lindenstrauss
ICTS Distinguished lecture - by Marcelo Viana.
List of invited Speakers
Speakers week 1:
Alex Blumenthal, Maryland, USA
Aaron Brown, Chicago, USA
Sylvain Crovisier, Paris Sud
Carlangelo Liverani, Rome, Italy
Federico Rodriguez-Hertz, Penn State, USA
Jana Rodriguez-Hertz, Shenzen, China
Sebastian van Strien, Imperial College, UK
Marcelo Viana, IMPA
Khadim War, IMPA, Brazil
Zhiyuan Zhang, Princeton
Speakers week 2:
Victor Beresnevich, University of York
S. G. Dani, University of Mumbai
Manfred Einsiedler, ETH Zurich
Alexander Gorodnik, University of Zurich
Seonhee Lim, Seoul National University
Elon Lindenstrauss, Hebrew University of Jerusalem
Jens Marklof, University of Bristol
Shahar Mozes, Hebrew University of Jerusalem
Amos Nevo, Technion, Haifa
Sanju Velani, University of York
Barak Weiss, Tel Aviv University
Minicourse Lecturers
Sylvain Crovisier, Paris Sud, France
Stefano Luzzatto, ICTP
Both weeks will feature research talks by leading mathematicians as well as mini courses. A number of slots will be available in the program for younger participants to present their research and a poster session will also be organized.
A number of slots will be available in the programme for younger participants to present their research and a poster session will also be organized.
The program is jointly organised and supported by ICTS and IMPA.
Program link: https://www.icts.res.in/program/etds2019
General Information: https://www.icts.res.in/program/Information-for-Participants
Bangalore - India
ICTP
pio@ictp.it
`
23 Sep 2019
- 4 Oct 2019

» School on Smooth and Homogeneous Dynamics | (smr 3271)

Every year the Mathematics Group offers research opportunities for outstanding mathematicians from developing countries, for short and long-term visits, as well as postdoctoral fellowships, through the Mathematics Research Fellowships programme. A call for postdoctoral fellowships with a starting date of September 2019 is now open. The application deadline is 7 January 2019. Other research and education opportunities in mathematics are available through the ICTP's Postgraduate Diploma Programme as well as its Associateship Scheme.

ICTP is governed by UNESCO, IAEA, and Italy, and is a UNESCO Category 1 Institute

http://library.ictp.it/ejds.aspx