Giulio Cerbai

[:is]

Fyrirlesari: Giulio Cerbai, Raunvísindastofnun Háskóla Íslands

Titill: A combinatorial theory of transport of patterns

Staðsetning: Tg-227 í Tæknigarði
Tími: Fimmtudagur 24.febrúar kl. 10:30 / 3. mars kl. 10:30

Ágrip:

Combinatorics study enumerative, algebraic and geometric properties of families of discrete objects. Some of them can be equipped with a notion of pattern containment. The resulting posets have been extensively studied, but few results that link different structures are known. Our work aims to develop a unifying theory of transport of patterns capable of handling various families of objects. By revealing links between combinatorial structures and providing new enumerative results, this would improve our global understanding of pattern avoidance.

The first part of this seminar is devoted to a gentle introduction to combinatorics and, more specifically, permutation patterns. We provide the necessary background and define a hierarchy of endofunctions that embody the structures covered by our work. We then state the two fundamental aspects to transport of patterns: (i) defining suitable pattern-transporting maps between sets of endofunctions; (ii) understanding how such maps behave with respect to pattern containment. Finally we introduce the Burge transposition on biwords and show how this operation can be used to obtain a transport theorem for (modified) ascent sequences and Fishburn permutations.

In the second part of this seminar, we show numerous examples and applications of the proposed framework, as well as some related research directions. We also show how the Burge transpose can be used to provide a generalization of the Eulerian polynomial over Cayley permutations.[:en]

Speaker: Giulio Cerbai, Raunvísindastofnun Háskóla Íslands

Title: A combinatorial theory of transport of patterns

Staðsetning: Tg-227 in Tæknigarður
Tími: Fimmtudagur 24.febrúar kl. 10:30 / 3. mars kl. 10:30

Abstract:

Combinatorics study enumerative, algebraic and geometric properties of families of discrete objects. Some of them can be equipped with a notion of pattern containment. The resulting posets have been extensively studied, but few results that link different structures are known. Our work aims to develop a unifying theory of transport of patterns capable of handling various families of objects. By revealing links between combinatorial structures and providing new enumerative results, this would improve our global understanding of pattern avoidance.

The first part of this seminar is devoted to a gentle introduction to combinatorics and, more specifically, permutation patterns. We provide the necessary background and define a hierarchy of endofunctions that embody the structures covered by our work. We then state the two fundamental aspects to transport of patterns: (i) defining suitable pattern-transporting maps between sets of endofunctions; (ii) understanding how such maps behave with respect to pattern containment. Finally we introduce the Burge transposition on biwords and show how this operation can be used to obtain a transport theorem for (modified) ascent sequences and Fishburn permutations.

In the second part of this seminar, we show numerous examples and applications of the proposed framework, as well as some related research directions. We also show how the Burge transpose can be used to provide a generalization of the Eulerian polynomial over Cayley permutations.[:]

NORNDiP: International Women’s day, March 8

[:is]

[:is]The Nordic Network for Diversity in Physics, NORNDiP, will celebrate the International Women’s day with a virtual event which takes place on March 8.

Highlights of the event:

  • 1:00 PM GMT: Meytal Eran Jona, Career of Women in Physics.
  • 2:00 PM GMT: Jane Rigby, The James Webb Space Telescope (JWST): Launch, commissioning, and getting ready for science.

Attendance is free of charge, but registration is mandatory to get access to the Zoom link and the recorded videos.
For more details about the conference, program, and the NORNDiP network visit: https://www.norndip.net
Registration at this link: https://indico.cern.ch/event/1127031/
[:]

[:en]The Nordic Network for Diversity in Physics, NORNDiP, will celebrate the International Women’s day with a virtual event which takes place on March 8.

Highlights of the event:

  • 1:00 PM GMT: Meytal Eran Jona, Career of Women in Physics.
  • 2:00 PM GMT: Jane Rigby, The James Webb Space Telescope (JWST): Launch, commissioning, and getting ready for science.

Attendance is free of charge, but registration is mandatory to get access to the Zoom link and the recorded videos.
For more details about the conference, program, and the NORNDiP network visit: https://www.norndip.net
Registration at this link: https://indico.cern.ch/event/1127031/
[:]

 

 

[:en]

The Nordic Network for Diversity in Physics, NORNDiP, will celebrate the International Women’s day with a virtual event which takes place on March 8.

Highlights of the event:

  • 1:00 PM GMT: Meytal Eran Jona, Career of Women in Physics.
  • 2:00 PM GMT: Jane Rigby, The James Webb Space Telescope (JWST): Launch, commissioning, and getting ready for science.

Attendance is free of charge, but registration is mandatory to get access to the Zoom link and the recorded videos.
For more details about the conference, program, and the NORNDiP network visit: https://www.norndip.net
Registration at this link: https://indico.cern.ch/event/1127031/

 

[:]

PhD positions

[:is][:is]

The Science Institute, University of Iceland, invites applications for up to three PhD positions in theoretical high-energy physics.

 Field of work

 The successful candidates will join a research group engaged in frontline research at the intersection between quantum field theory and gravitational theory in the Mathematics Division of the Science Institute. The research is funded in part by a Grant of Excellence recently awarded to the project “Quantum Fields and Quantum Geometry” by the Icelandic Research Fund.

Qualification requirements

  • Applicants should hold an M.Sc. degree, or equivalent, in Theoretical Physics or Mathematics. Applicants who will receive the degree by the Fall of 2022, will be also considered.
  • Proficiency in written and spoken English.
  • Good cooperative and social skills.
  • Ability to work independently.

 

The successful candidates will have to apply for doctoral studies at the University of Iceland and be accepted before taking up their positions.

 

Application process

 

The PhD positions are for three years starting in Fall 2022 with a possible extention to a fourth year subject to the availability of funding.

 

On-line applications only. Please submit your application through Academic Jobs Online at https://academicjobsonline.org/ajo/jobs/21166

 

Please include a one-page cover letter describing your research interests in relation to this position.

 

The application must also include:

  1. i) a CV,
  2. ii) certificates of education, including transcripts with grades for both BSc and MSc degrees,

iii) recommendation letters from two experts who are familiar with the candidate.

 

The experts will be asked to submit their recommendations directly via Academic Jobs Online.

 

All applicants will be notified of the employment decision, when a decision has been made. Applications are valid for six months beyond the application deadline.

 

Appointments to positions at the University of Iceland are made in consideration of the Equal Rights Policy of the University of Iceland. The University of Iceland has a special Language Policy.

The School of Engineering and Natural Sciences employs approximately 360 people in academic positions. The School offers an international working environment, with the number of international employees and students increasing each year. Currently about quarter of all employees and graduate students are international. There are around 2900 students at the School, divided into six faculties, including approximately 350 MS students and 150 doctoral students. Research institutes at the School are the Science Institute that divides into the Institute of Earth Sciences and Institute of Physical Sciences, Institute of Life and Environmental Sciences, Engineering Research Institute and the Institute for Sustainability Studies which is an interdisciplinary institute and belongs to the five schools of the University of Iceland.

The University of Iceland is the largest institution for teaching, research and science in Iceland and is ranked among the top 300 universities in the world by Times Higher Education.

More information about the University of Iceland can be found here.

Further information:

For further information, please contact Professor Lárus Thorlacius at lth@hi.is

Application deadline:

The application deadline is March 15, 2022.

[:]

[:en]The Science Institute, University of Iceland, invites applications for up to three PhD positions in theoretical high-energy physics.

 Field of work

 The successful candidates will join a research group engaged in frontline research at the intersection between quantum field theory and gravitational theory in the Mathematics Division of the Science Institute. The research is funded in part by a Grant of Excellence recently awarded to the project “Quantum Fields and Quantum Geometry” by the Icelandic Research Fund.

Qualification requirements

  • Applicants should hold an M.Sc. degree, or equivalent, in Theoretical Physics or Mathematics. Applicants who will receive the degree by the Fall of 2022, will be also considered.
  • Proficiency in written and spoken English.
  • Good cooperative and social skills.
  • Ability to work independently.

 

The successful candidates will have to apply for doctoral studies at the University of Iceland and be accepted before taking up their positions.

 

Application process

 

The PhD positions are for three years starting in Fall 2022 with a possible extention to a fourth year subject to the availability of funding.

 

On-line applications only. Please submit your application through Academic Jobs Online at https://academicjobsonline.org/ajo/jobs/21166

 

Please include a one-page cover letter describing your research interests in relation to this position.

 

The application must also include:

  1. i) a CV,
  2. ii) certificates of education, including transcripts with grades for both BSc and MSc degrees,

iii) recommendation letters from two experts who are familiar with the candidate.

 

The experts will be asked to submit their recommendations directly via Academic Jobs Online.

 

All applicants will be notified of the employment decision, when a decision has been made. Applications are valid for six months beyond the application deadline.

 

Appointments to positions at the University of Iceland are made in consideration of the Equal Rights Policy of the University of Iceland. The University of Iceland has a special Language Policy.

The School of Engineering and Natural Sciences employs approximately 360 people in academic positions. The School offers an international working environment, with the number of international employees and students increasing each year. Currently about quarter of all employees and graduate students are international. There are around 2900 students at the School, divided into six faculties, including approximately 350 MS students and 150 doctoral students. Research institutes at the School are the Science Institute that divides into the Institute of Earth Sciences and Institute of Physical Sciences, Institute of Life and Environmental Sciences, Engineering Research Institute and the Institute for Sustainability Studies which is an interdisciplinary institute and belongs to the five schools of the University of Iceland.

The University of Iceland is the largest institution for teaching, research and science in Iceland and is ranked among the top 300 universities in the world by Times Higher Education.

More information about the University of Iceland can be found here.

Further information:

For further information, please contact Professor Lárus Thorlacius at lth@hi.is

Application deadline:

The application deadline is March 15, 2022.[:en]

The Science Institute, University of Iceland, invites applications for up to three PhD positions in theoretical high-energy physics.

 Field of work

 The successful candidates will join a research group engaged in frontline research at the intersection between quantum field theory and gravitational theory in the Mathematics Division of the Science Institute. The research is funded in part by a Grant of Excellence recently awarded to the project “Quantum Fields and Quantum Geometry” by the Icelandic Research Fund.

Qualification requirements

  • Applicants should hold an M.Sc. degree, or equivalent, in Theoretical Physics or Mathematics. Applicants who will receive the degree by the Fall of 2022, will be also considered.
  • Proficiency in written and spoken English.
  • Good cooperative and social skills.
  • Ability to work independently.

 

The successful candidates will have to apply for doctoral studies at the University of Iceland and be accepted before taking up their positions.

 

Application process

 

The PhD positions are for three years starting in Fall 2022 with a possible extention to a fourth year subject to the availability of funding.

 

On-line applications only. Please submit your application through Academic Jobs Online at https://academicjobsonline.org/ajo/jobs/21166

 

Please include a one-page cover letter describing your research interests in relation to this position.

 

The application must also include:

  1. i) a CV,
  2. ii) certificates of education, including transcripts with grades for both BSc and MSc degrees,

iii) recommendation letters from two experts who are familiar with the candidate.

 

The experts will be asked to submit their recommendations directly via Academic Jobs Online.

 

All applicants will be notified of the employment decision, when a decision has been made. Applications are valid for six months beyond the application deadline.

 

Appointments to positions at the University of Iceland are made in consideration of the Equal Rights Policy of the University of Iceland. The University of Iceland has a special Language Policy.

The School of Engineering and Natural Sciences employs approximately 360 people in academic positions. The School offers an international working environment, with the number of international employees and students increasing each year. Currently about quarter of all employees and graduate students are international. There are around 2900 students at the School, divided into six faculties, including approximately 350 MS students and 150 doctoral students. Research institutes at the School are the Science Institute that divides into the Institute of Earth Sciences and Institute of Physical Sciences, Institute of Life and Environmental Sciences, Engineering Research Institute and the Institute for Sustainability Studies which is an interdisciplinary institute and belongs to the five schools of the University of Iceland.

The University of Iceland is the largest institution for teaching, research and science in Iceland and is ranked among the top 300 universities in the world by Times Higher Education.

More information about the University of Iceland can be found here.

Further information:

For further information, please contact Professor Lárus Thorlacius at lth@hi.is

Application deadline:

The application deadline is March 15, 2022.[:]

Sóley Benediktsdóttir

[:is]Menntun framhaldsskólakennara

Þróun verkefna um diffrun með áherslu á skilning og uppgötvun

Leiðbeinendur: Benedikt Steinar Magnússon og Bjarnheiður Kristinsdóttir
Prófdómari: Kristín Bjarnadóttir, Professor Emerita

Ágrip
Stærðfræðinám í framhaldsskólum reynist mörgum nemendum erfitt. Sumir nemendur gefast upp eða byrja að halda því fram að þeir geti ekki reiknað stærðfræði. Fyrir kennara er mikilvægt að sporna við slíku hugarfari. Rannsóknir sýna að ein besta leiðin til að hjálpa nemendum að finnast þeir hafa tök á stærðfræði sé að leyfa þeim að mynda eigin tengingar milli ólíkra efnisþátta stærðfræðinnar og að uppgötva sjálfir stærðfræðilegar hugmyndir. Markmið þessa verkefnis var að búa til og þróa verkefni fyrir nemendur í framhaldsskóla með þetta í huga. Ákveðið var að verkefnin skyldu snúast um diffrun bæði vegna áhuga höfundar á því efni og að rannsóknir hafa sýnt að íslenskir framhaldsskólanemendur eiga í mestum erfiðleikum með diffrun og tegrun að loknum framhaldsskóla. Lesa áfram Sóley Benediktsdóttir

[:is]Nýdoktorsstaða[:en]Postdoctoral position[:]

[:is]Laust er til umsóknar starf nýdoktors við stærðfræðistofu Raunvísindastofnunar Háskólans. Nýdoktornum, sem starfið hlýtur, er ætlað að stunda rannsóknir á sviði stærðfræði, hreinnar eða hagnýtrar, eða stærðfræðilegrar eðlisfræði.

Sjá:
https://euraxess.ec.europa.eu/jobs/658209
https://www.stjornarradid.is/efst-a-baugi/laus-storf-a-starfatorgi/auglysing/?id=25274[:en]Applications are invited for a postdoctoral post at the Mathematics Division of the Science Institute, University of Iceland. The successful candidate is expected to conduct research in mathematics, pure or applied, or mathematical physics.

See:
https://euraxess.ec.europa.eu/jobs/658209
https://www.stjornarradid.is/efst-a-baugi/laus-storf-a-starfatorgi/auglysing/?id=25274[:]

[:is]Doktorsvörn — Aruna Rajagopal[:en]Doctoral defence — Aruna Rajagopal[:]

[:is]

Hvenær: 21. maí 2021 13:00 til 15:00
Hvar: Askja, stofa 132

Vörninni verður streymt

Doktorsefni: Aruna Rajagopal

Heiti ritgerðar: Vökvaaflfræði utan varmajafnvægis frá sjónarhóli samhverfu (Out of equilibrium hydrodynamics with and without boost symmetry)

Lesa áfram [:is]Doktorsvörn — Aruna Rajagopal[:en]Doctoral defence — Aruna Rajagopal[:]

Gestur Ólafsson, Louisiana State University

[:is] Math colloquium

Fyrirlesari: Gestur Ólafsson, Louisiana State University

Titill: Atomic decomposition of Bergman spaces on Hermitian Symmetric Spaces

Staðsetning: Zoom link will be sent by email
Tími: Þriðjudag 16.febrúar kl. 16:00

Ágrip:

Hermitian symmetric spaces, bounded or unbounded, and spaces of functions or distributions on those spaces show up naturally in com- plex analysis, Lie theory, functional analysis and several other parts of mathematics. In this talk we will discuss some resent work on dis- cretization/atomic decomposition of Bergman spaces on those domains and their unbounded realization.

The story goes back to the work of Coifman and Rochberg in the 1980’s where they provided atomic decompositions for Bergman spaces on (the unbounded realization of) bounded symmetric domains as well as on the unit ball. Their atoms were build from the Bergman kernel. One of the shortcomings of their work was that their results did not readily transfer to the bounded realization of the domain except in the case of the unit ball.

By applying representation/coorbit theory we obtain a large family of new atoms, including those of Coifman and Rochberg, for Bergman spaces on bounded symmetric domains. Our approach also allows us to describe the relation between atoms for the bounded and unbounded realizations of the domain thus solving one of the issues raised by Coif- man and Rochberg. If time allows then we will list some open questions for domains of rank higher than one.[:en]

Math colloquium

Speaker: Gestur Ólafsson, Louisiana State University

Title: Atomic decomposition of Bergman spaces on Hermitian Symmetric Spaces

Room: Zoom link will be sent by email
Time: Tuesday 16th February, 16:00hrs

Abstract:

Hermitian symmetric spaces, bounded or unbounded, and spaces of functions or distributions on those spaces show up naturally in com- plex analysis, Lie theory, functional analysis and several other parts of mathematics. In this talk we will discuss some resent work on dis- cretization/atomic decomposition of Bergman spaces on those domains and their unbounded realization.

The story goes back to the work of Coifman and Rochberg in the 1980’s where they provided atomic decompositions for Bergman spaces on (the unbounded realization of) bounded symmetric domains as well as on the unit ball. Their atoms were build from the Bergman kernel. One of the shortcomings of their work was that their results did not readily transfer to the bounded realization of the domain except in the case of the unit ball.

By applying representation/coorbit theory we obtain a large family of new atoms, including those of Coifman and Rochberg, for Bergman spaces on bounded symmetric domains. Our approach also allows us to describe the relation between atoms for the bounded and unbounded realizations of the domain thus solving one of the issues raised by Coif- man and Rochberg. If time allows then we will list some open questions for domains of rank higher than one. [:]

NORNDiP 2021 – Annual conference on January 29

[:is]

This year, the Nordic Network for Diversity in Physics is holding its annual meeting as a one-day online event on 29th January, from 9.00 to 15.30.
Attendance is free of charge, but registration is mandatory to get access to the Zoom link and the recorded videos.

Highlights of the event:

Angela Saini’s talk. Angela Saini is a British journalist whose highly-regarded books and broadcasts on important issues around representation and discrimination in science and society have received widespread praise. She will speak on “Racism in science and society”. This is a topic that Angela researched extensively for her book Superior: The Return of Race Science.

Round-table: How to work against harassment – A discussion from a Nordic perspective. There will be reports on harassment reporting practices in academia from all the Nordic countries, and a round table discussion. Jóhanna Ella Jónsdóttir will be be the speaker for Iceland. Professor Helen Dannetun from Linköping University will moderate the discussion on „How to work against harassment – A discussion from a Nordic perspective“.

For more details about the conference, program, and the NORNDiP network visit: https://www.norndip.net
Registration at this link: https://indico.cern.ch/event/979804/registrations/66795/

[:en]

This year, the Nordic Network for Diversity in Physics is holding its annual meeting as a one-day online event on 29th January, from 9.00 to 15.30.
Attendance is free of charge, but registration is mandatory to get access to the Zoom link and the recorded videos.

Highlights of the event:

Angela Saini’s talk. Angela Saini is a British journalist whose highly-regarded books and broadcasts on important issues around representation and discrimination in science and society have received widespread praise. She will speak on “Racism in science and society”. This is a topic that Angela researched extensively for her book Superior: The Return of Race Science.

Round-table: How to work against harassment – A discussion from a Nordic perspective. There will be reports on harassment reporting practices in academia from all the Nordic countries, and a round table discussion. Jóhanna Ella Jónsdóttir will be be the speaker for Iceland. Professor Helen Dannetun from Linköping University will moderate the discussion on „How to work against harassment – A discussion from a Nordic perspective“.

For more details about the conference, program, and the NORNDiP network visit: https://www.norndip.net
Registration at this link: https://indico.cern.ch/event/979804/registrations/66795/

[:]

Anders Karl Claesson, University of Iceland

[:is] Math colloquium

Fyrirlesari: Anders Karl Claesson, Háskóli Íslands

Titill: On the problem of Hertzsprung and similar problems

Staðsetning: Via Zoom. Link to be sent.
Tími: Þriðjudag 19.janúar kl.10:00

Ágrip:

Drawing on a problem posed by Hertzsprung in 1887 (sometimes called the n-kings problem), we say that a permutation w contains the Hertzsprung pattern u if there is factor w(d+1)w(d+2)…w(d+k) of w such that w(d+1)-u(1) = … = w(d+k)-u(k).  Using a combination of the Goulden-Jackson cluster method (which we explain) and the transfer-matrix method we determine the joint distribution of occurrences of any set of (incomparable) Hertzsprung patterns, thus substantially generalizing earlier results by Jackson et al. on the distribution of ascending and descending runs in permutations.  We apply our results to the problem of counting permutations up to pattern-replacement equivalences, and using pattern-rewriting systems—a new formalism similar to the much studied string-rewriting systems—we solve a couple of open problems raised by Linton et al. in 2012.

[:en]

Math colloquium

Speaker: Anders Karl Claesson, University of Iceland

Title: On the problem of Hertzsprung and similar problems

Room: Via Zoom. Link to be sent.
Time: Tuesday January 19th, 10:00 hrs

Abstract:

Drawing on a problem posed by Hertzsprung in 1887 (sometimes called the n-kings problem), we say that a permutation w contains the Hertzsprung pattern u if there is factor w(d+1)w(d+2)…w(d+k) of w such that w(d+1)-u(1) = … = w(d+k)-u(k).  Using a combination of the Goulden-Jackson cluster method (which we explain) and the transfer-matrix method we determine the joint distribution of occurrences of any set of (incomparable) Hertzsprung patterns, thus substantially generalizing earlier results by Jackson et al. on the distribution of ascending and descending runs in permutations.  We apply our results to the problem of counting permutations up to pattern-replacement equivalences, and using pattern-rewriting systems—a new formalism similar to the much studied string-rewriting systems—we solve a couple of open problems raised by Linton et al. in 2012.

.[:]

Midway evaluation, Daniel Amankwah

Room: Via Zoom. Link to be sent.
Time: Friday, December 11, at 10:00.

Doctoral student: Daniel Amankwah

Project title: Scaling limits of random, face-weighted, tree like planar maps.

Project description: The doctoral project lies in the scope of random planar maps. We investigate scaling limits of various classes of discrete planar maps which are by construction “tree-like”. These include Halin maps, outerplanar maps, series-parallel maps and more. The Brownian Continuum Random tree (CRT), introduced by David Aldous has been known to be the limit of various different discrete models of planar maps uniformly sampled. We focus on the case when each face in the maps is assigned a heavy tailed weight so that a typical face is in the domain of attraction of a stable law. It is known that for several such models for treelike graphs the scaling limits are the so-called stable looptrees. We aim to understand how generically this happens. For this reason we will consider classes of maps which have not been studied in this scope in the literature. Examples include Halin maps, Series-Parallel maps and Maps of bounded tree-width.

Supervisor: Sigurður Örn Stefánsson