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Mathematics (Geometry, Topology, Representation Theory, Algebraic Combinatorics)● OpenPreview

University Assistant (Predoctoral) in Geometry and Topology

Join a dynamic research group at the University of Vienna to advance the study of moduli spaces, representation theory, and algebraic combinatorics.

Best for:Best for mathematicians with a strong background in geometry, topology, or related fields, eager to contribute to interdisciplinary research and pursue a PhD in a collaborative academic setting.

University of Vienna · Vienna, Austria · R1 · First-stage researcher
More professors at University of Vienna
geometry and topology of moduli spacesrepresentation theoryalgebraic combinatoricsknot invariantsinterdisciplinary mathematical applications
Deadline
Nov 12, 2026
29 days
Funding
Salaried
€3.8k/mo
Start date
2026-12-01 (flexible, negotiable)
Fixed-term
Location
Vienna
Austria

Overview

This position offers a predoctoral university assistant role at the University of Vienna’s Faculty of Mathematics, focusing on cutting-edge research in the geometry and topology of moduli spaces. The successful candidate will collaborate with Professor Anton Mellit’s team, contributing to interdisciplinary projects bridging representation theory, algebraic combinatorics, and knot invariants. The role involves active participation in research, teaching, and administrative duties, with a strong emphasis on independent research and academic excellence. The position is ideal for motivated mathematicians seeking to pursue a PhD while engaging in a vibrant, international research environment. The contract spans four years, with a flexible start date from December 2026.

predoctoral positionmathematics PhDgeometry and topologymoduli spacesrepresentation theoryalgebraic combinatoricsknot theoryacademic research

What you'll do

  • Conduct independent and collaborative research on geometry and topology of moduli spaces, representation theory, algebraic combinatorics, and knot invariants under the supervision of Professor Anton Mellit.
  • Develop original research solutions and contribute to ongoing projects within the research group.
  • Participate in international scientific collaborations, conferences, and workshops to present research findings.
  • Assist in teaching and administrative tasks, including holding courses, supervising students, and contributing to institute administration.
  • Actively engage in the Vienna School of Mathematics and participate in its academic activities and group meetings.
  • Submit a dissertation agreement within 12–18 months of starting the position.

Requirements

Degree required: Completed Master’s degree in Mathematics or a related quantitative field; final certificate must be provided before contract commencement.

Degree offered: PhD

Language: English; proficiency at a level suitable for academic research and international collaboration (no specific test score mentioned).

Instruction: English

Required skills
  • Strong mathematical background in geometry, topology, representation theory, or algebraic combinatorics.
  • Proven potential for independent research and academic excellence.
  • Excellent command of English (written and spoken) for international collaboration and communication.
  • Ability to integrate into an interdisciplinary research team and contribute constructively to group dynamics.
  • Experience or interest in knot theory and its applications.
Nice to have
Prior research experience in moduli spaces or related mathematical fields.Publications or presentations in peer-reviewed conferences or journals.Familiarity with computational tools or software relevant to mathematical research.
Eligibility
  • No specific nationality or residency restrictions mentioned.
  • No age limits or prior experience caps specified.

Funding & terms

Type
Salaried
Amount
€3.8k/mo
Duration
4 years (with initial 1.5-year probationary period, extendable to 4 years if not terminated)
Programme
University of Vienna
University of Vienna

How to apply

Deadline: 2026-11-12

Applicants must submit a letter of motivation, academic CV, summary of prior research activities and future research interests (max. 2 pages), a copy of their Master’s thesis (or draft if not completed), a list of publications and presentations (if applicable), a notification of completed Master’s/Diploma degree, and two letters of reference. References should be sent directly to anton.mellit@univie.ac.at, mentioning the applicant’s name and job ID 5204.

Documents required
  • Letter of motivation
  • Academic curriculum vitae
  • Summary of prior research activities and future research interests (max. 2 pages)
  • Copy of Master’s thesis or draft (if not completed)
  • List of publications and presentations (if applicable)
  • Notification of completed Master’s/Diploma degree
  • Two letters of reference (sent directly to supervisor)
✉Apply by email

Contact

Anton Mellit· Professor

anton.mellit@univie.ac.at

AM
Prof.
Anton Mellit
Faculty of Mathematics
Lab
Institute of Mathematics, Research Group of Anton Mellit
University of Vienna
Austria
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