IST Austria (Institute of Science and Technology Austria)

392 14343Position ID: ISTAustria-POSTDOCHAUSELLEMESHKO [#14343]
Position Title: Postdoctoral position in the Hausel and Lemeshko groups at IST Austria
Position Type: Postdoctoral
Position Location: Klosterneuburg, Lower Austria 3400, Austria [map]
Subject Areas: Mathematical Physics, Topology, Theoretical Physics, Physics of Cold atoms, Condensed Matter Theory
Application Deadline: (posted 2019/08/28, listed until 2019/11/15)
Position Description:    

There is a postdoctoral opening in the groups of Prof. Tamas Hausel and Prof. Mikhail Lemeshko at the Institute of Science and Technology (IST) Austria. The Hausel group works on geometry, topology, and arithmetic of moduli spaces arising in supersymmetric quantum field theories, representation theory of quivers, finite groups, Lie and Hecke algebras. The Lemeshko group works at the interface of theoretical condensed-matter, chemical, and AMO physics. 

In a recent collaborative work [1], we have presented an approach to interacting quantum many-body systems based on the notion of quantum groups, also known as q-deformed Lie algebras. In particular, we have shown that if the symmetry of a free quantum particle corresponds to a Lie group G, in the presence of a many-body environment this particle can be described by a deformed group, G_q. Crucially, the single deformation parameter, q, contains all the information about the many-particle interactions in the system.

[1] E. Yakaboylu, M. Shkolnikov, and M. Lemeshko, "Quantum groups as hidden symmetries of quantum impurities", Phys. Rev. Lett. 121, 255302 (2019);
Preprint: arXiv:1809.00222

Our objectives are to:
  • Investigate the presence of quantum group symmetries for quasiparticles
  • Explain the conditions under which quasiparticles can be created
  • Deduce integrability of the corresponding models
  • Discover the meaning of exotic representations of quantum groups 
We are looking for strongly motivated candidates experienced in quantum groups, representations, and mathematical physics and having basic knowledge of quantum mechanics, and quantum many-body systems. The postdoc must have a two-fold background necessary to efficiently communicate with both mathematicians and physicists working in the Hausel and Lemeshko groups. Expertise in designing numerical experiments would be an advantage. The position is offered for 1 + 2 years, with a starting date on or before January 1, 2020. Highly qualified applicants are also encouraged to apply for the ISTplus fellowship.  

Please provide your CV with a publications list, a cover letter, and a minimum of 3 letters of recommendation.

PLEASE SEND YOUR DOCUMENTS DIRECTLY TO PROF. MIKHAIL LEMESHKO (mikhail.lemeshko@ist.ac.at) AND/OR TO DR. ENDERALP YAKABOYLU (enderalp.yakaboylu@ist.ac.at). You can provide a list of references that can be asked for a letter of recommendation, instead of arranging for the actual letters to be sent. Also, do not hesitate to contact us if you have any questions.

 

About IST Austria:

The Institute of Science and Technology Austria (IST Austria) is a young growing international institute dedicated to basic research and graduate education in the natural and mathematical sciences. The institute is located in Klosterneuburg, in a close proximity to Vienna (~20 minutes). The institute has a vibrant research atmosphere, promotes international open culture, and provides competitive compensation and numerous benefits. The official working language at IST is English.


Application Materials Required:
Submit the following items online at this website to complete your application:
And anything else requested in the position description.

Further Info:
https://ist.ac.at/
 
Am Campus 1
3400 Klosterneuburg
AUSTRIA

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