call for a post-doc position is open with deadline May 3, 2019

Institute of Mathematics of Polish Academy of Sciences
opens a contest number 2
for a research post-doc position
which is a part of a NCN MAESTRO project „Dynamic asymptotic combinatorics”
(director: prof. Piotr Śniady)

The position will be financed for 24 months with a possibility of an extension, for at most another 30 months (the details depend on the date of end of the grant, which is preliminarily set to April 2023, but might be extended).  The gross salary is 10000 PLN per month (note that the employer’s taxes must be deducted). The beginning of employment: October 1, 2019 or earlier (the exact date will be arranged with the successful candidate).

It is expected that the post-doc will actively conduct research in the area related to the research grant, take active part in meetings of the research group and look after PhD students and students.

The main place of work will be in the town of Toruń.

The ideal candidate (female or male) holds a PhD in mathematics, computer science or physics and has knowledge and skills in combinatorics (especially algebraic, enumerative and asymptotic combinatorics), representation theory, probability theory, random matrix theory, Voiculescu’s free probability. Non-ideal candidates are also welcome.

Submissions. Applications containing:
  • CV; in the case of candidates who do not yet have a PhD degree - information about the planned defense date,
  • description of scientific interests,
  • description of scientific achievements, awards and distinctions,
  • list of publications,
  • a few words (but no more than one page) on the subject: why do I apply?
  • contact to two people who are ready to present recommendation letters,
should be sent by May 3, 2019 to the the grant director  psniady@impan.pl

The candidates may be asked to participate in an interview with the members of the hiring committee.

Formal requirements and legal notes. In order to be eligible, the candidate must have obtained a doctoral degree not earlier than 7 years before the year of employment in the project. This period does not include breaks related to parental leave or sickness benefits. In the case of women, the indicated 7-year period can be extended by 18 months for each born or adopted child.

For more details see
https://www.ncn.gov.pl/sites/default/files/pliki/uchwaly-rady/2017/uchwala56_2017-zal1.pdf page 59.
details of the call in English
details of the call in Polish


research jobs in IMPAN Toruń

as a part of a research project in:

  • combinatorics,
  • algebraic combinatorics, enumerative combinatorics, asymptotic combinatorics,
  • representation theory,
  • asymptotic representation theory,
  • random matrix theory,
  • Voiculescu's free probability theory,
  • mathematical phycics,

there is a number of open research jobs:

  • scholarships for BSc / MSc students,
  • post-doc position,

Dynamic asymptotic combinatorics: project summary

[for a version of the summary with beautiful pictures see the PDF below with the full project documentation] 

Many combinatorial structures can be viewed as discrete versions of continuous geometric objects such as ‘surfaces’ or ‘shapes’. Good examples to keep in mind are provided by Young diagrams, Young tableaux as well as by alternating sign matrices. It is then natural to ask about the asymptotic behavior of these discrete shapes and surfaces as the size tends to infinity. In many cases, the shape of the typical random element approaches a continuous limit. In such a case we say the model has a “limit shape”. It should be stressed that such questions concerning the limit shape are usually formulated in the probabilistic setup in which the considered class of combinatorial objects is equipped with some natural probability measure.

Many combinatorial structures can be naturally equipped with some sort of dynamics which gives rise to the questions about existence of some “dynamic limit shape” which is in our focus. A good concrete example to keep in mind is the celebrated Schützenberger’s jeu de taquin: from the initial standard Young tableau one removes the south-west corner box (which contains the number 1, see Figure 2a); in this way an empty cell (hole) is created. We either slide down the box directly above the hole or we slide left the box directly right to the hole, choosing the box which carries a smaller number. We continue the sliding; in this way the empty cell moves successively towards the boundary of the tableau, see Figure 2b. Sample questions about the dynamical limit shape might be: is there some typical trajectory along which the sliding occurs? Suppose we iterate the above jeu de taquin transformation; does this discrete model of draining a two-dimensional sandpile converge to some hydrodynamic limit?

The goal of this research proposal is to investigate the asymptotics of large random combinatorial structures and their limit shapes and to investigate their connection to (asymptotic) representation theory, random matrix theory, Voiculescu’s free probability theory, ergodic theory, statistical mechanics and mathematical physics. Special attention will be given to dynamical aspects of such asymptotic behavior, in particular to trajectories of particles and trajectories of second class particles from the interacting particle systems, dynamical transformations of large combinatorial structures and their hydrodynamic limits. Specific examples which we have in mind are concentrated in (but not limited to) the class of combinatorial objects related to algebraic combinatorics and representation theory such as random Young diagrams and tableaux as well as combinatorial algorithms such as Robinson–Schensted–Knuth algorithm and multidimensional Pitman transform as well as Schützenberger’s jeu de taquin, promotion and evacuation.

details

the jobs are open in the beautiful medieval town of Toruń

the positions are funded by a "Dynamic asymptotic combinatorics" grant MAESTRO-ST of National Center of Science

the details of the grant proposal are available here (hint: have a look on page 24) 

if you are interested, please contact me directly by email