Institut für Mathematik


Prof. Dr. Anna Beliakova

Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich

Tel.: +41 44 635 58 91
Fax: +41 44 635 57 06
Büro: Y27J18
Niedrigdimensionale Topologie
Iva Kabosch

+41 44 635 58 51



  • University Basel, Mathematics, Habilitation, Title: Quantum invariants of 3-manifolds, 2003
  • FU Berlin, Ph.D. Physics, Advisor: Prof. R. Schrader, Thesis: Topological quantum field theories and invariants of graphs, 1994
  • Belorussian State University, M.S. in Physics with distinction, 1990


  • I-MATH, University of Zurich, Professor, 2010-present
  • I-MATH, University of Zurich, SNF-Professor, 2004-2010
  • Mathematical Institute, University of Basel, 1998-2004
  • Mathematical Institute, University of Bern, 1996-1998
  • IMRA Strasbourg, DFG Fellowship, 1995-1996

Vorlesungen & Seminare

Quantum link invariants and their categorification

Exercises Quantum link invariants and their categorification


A. Beliakova, M. Hogancamp, K. Putyra, S. Wehrli
On the functoriality of sl(2) tangle homology
arXiv:1903.12194 PDF  

A. Beliakova, Ch. Blanchet, A. Gaynutdinov
Modified trace is a symmetrised integral
arXiv:1801.00321 PDF  

A. Beliakova, Ch. Blanchet, N. Geer
Logarithmic Hennings invariants for restricted quantum SL(2)
Algebraic & Geometric Topology 18 (2018), pp. 4329-4358 PDF  

A. Beliakova, K. Putyra, S. Wehrli
Quantum Link Homology via Trace Functor I
Inventiones mathematicae, Volume 215, Issue 2 (2019), pp. 383–492 PDF  

A. Beliakova, K. Habiro, A. Lauda, B. Webster
Current algebras and categorified quantum groups
J. Lond. Math. Soc. (2) 95 (2017), no. 1, pp. 248-276 PDF  

A. Beliakova, Ch. Blanchet, E. G. Contreras
Spin Modular Categories
Quantum Topology, Volume 8, Issue 3 (2017), pp. 459–504 PDF  

A. Beliakova, K. Habiro, A. Lauda, M. Zivkovic
Trace decategorification of categorified quantum sl(2)
Math. Annalen 367 (2017), no. 1-2, 397-440 PDF  

A. Beliakova, K. Habiro, A. Lauda, B. Webster
Cyclicity for categorified quantum groups
Journal of Algebra, Volume 452 (2016), pp. 118-132 PDF  

A. Beliakova, K. Habiro
A categorification of the ribbon element in quantum sl(2)
arXiv:1304.7585 PDF  

A. Beliakova, B. Cooper
Steenrod Structures on Categorified Quantum Groups
Fund. Math. 241 (2018), pp.179-207 PDF  

A. Beliakova, Z. Guliyev, K. Habiro, A. Lauda
Trace as an alternative decategorification functor
Acta Mathematica Vietnamica: Volume 39, Issue 4 (2014), Page 425-480 PDF  

A. Beliakova, A. Lauda
Categorified quantum sl(2) is an inverse limit of flag 2-categories
Transformation Groups: Volume 19, Issue 1 (2014), Page 1-26 PDF  

A. Beliakova, Q. Chen, T. Le
On the integrality of Witten-Reshetikhin-Turaev 3-manifold invariants
Quantum Topology, Volume 5, Issue 1, 2014, pp. 99–141 PDF  

A. Beliakova, M. Khovanov, A. Lauda
A categorification of the Casimir of quantum sl(2)
Advances in Mathematics, Volume 230, Issue 3 (2012), 1442-1501   

A. Beliakova, T. Le
On the unification of quantum 3-manifold invariants
Introductory Lectures on Knot Theory (L. H. Kauffman, S. Lambropoulou, S. Jablan, J. H. Przytycki, eds.), vol. 46, World Scientific, New Jersey-London-Singapore-Beijing-Shanghai-Hong Kong-Taipei-Chennai, 2012, pp. 1-21 PDF  

A. Beliakova, I. Bühler, T. Le
Unified SO(3) quantum invariant for rational homology 3-Spheres
Inventiones, Volume 185, Issue 1 (2011), Page 121-174 PDF  

A. Beliakova, E. Wagner
On link homology theories from extended cobordisms
Quantum Topol. 1 (2010), 379–398 PDF  

A. Beliakova
On simplification of combinatorial link Floer homology
Journal of Knot Theory Ram., Oberwolfach Proceedings 3 (2010) 1-19 PDF  

A. Beliakova, Ch. Blanchet, T. Le
Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion
Fund. Math., 201 (2008) 217-239 PDF  

A. Beliakova, S. Wehrli
Categorification of the colored Jones polynomial and Rasmussen invariant of links
Canad. J. Math., 60 (2008) 1240-1266 PDF  

A. Beliakova, T. Q. Le
Integrality of quantum 3-manifold invariants and rational surgery formula
Compositio Mathematica, vol. 143, Issue 06 (2007), 1593-1612 PDF  

A. Beliakova
Geometric construction of spinors in orthogonal modular categories
Alg. & Geom. Topology, vol. 3 (2003), 969-992 PDF  

A. Beliakova, Ch. Blanchet
Modular categories of types B, C and D
Comment. Math. Helv., vol. 76 (2001), 467-500 PDF  

A. Beliakova, Ch. Blanchet
Skein construction of idempotents in Birman-Murakami-Wenzl algebras
Math. Annalen, vol. 321 (2001), 347-373 PDF  

A. Beliakova, N. Habegger
The Casson-Walker-Lescop invariant as a quantum 3-manifold invariant
J. of Knot Theory and its Ramifications, vol. 9 (2000), 459-470 PDF  

A. Beliakova, A. Schumakovich
Aufloesung mathematischer Knoten,
Uni Nova, vol. 87 (2000), 45-50 PDF  

A. Beliakova
Refined invariants and TQFT's from Homfly skein theory
J. of Knot Theory and Its Ramifications vol. 8 (1999), 569-587 PDF  

A. Beliakova
Spin topological quantum field theories
Int. J. of Math. vol. 9 (1998), 129-152 PDF  

A. Beliakova, B. Durhuus
On the relation between two quantum group invariants of 3-cobordisms
J. Geom. Phys. vol. 20 (1996), 305-317 PDF  

A. Beliakova, B. Durhuus
Topological quantum field theory and invariants of graphs for quantum groups
Comm. Math. Phys. vol. 167 (1995), 395-429 PDF  


Prof. Dr. Christian Blanchet, Université Paris 7 (France)
03.12.19 - 12.12.19Beliakova, Anna
Prof. Dr. Christian Blanchet, Université Paris 7 (France)
07.10.19 - 16.10.19Beliakova, Anna
Dr. Paul Wedrich, Imperial College London (London)
Talk: Invariants of 4-manifolds from Khovanov-Rozansky link homology
24.09.19 - 27.09.19Beliakova, Anna
Dr. Azat Gainutdinov, University of Hamburg (Hamburg)
03.09.19 - 06.09.19Beliakova, Anna
Prof. Dr. Christian Blanchet, Université Paris 7 (France)
22.07.19 - 26.07.19Beliakova, Anna
Dr. Azat Gainutdinov, University of Hamburg (Hamburg)
22.07.19 - 25.07.19Beliakova, Anna
Dr. Louis-Hadrien Robert, Université de Genève (Genève)
14.07.19 - 19.07.19Beliakova, Anna
Dr. Emmanuel Wagner, Université de Bourgogne (Dijon)
14.07.19 - 19.07.19Beliakova, Anna
Prof. Dr. Daniel López, Université de Paris (Paris)
16.06.19 - 22.06.19Beliakova, Anna
Dr. Marco Mackaay, Universidade do Algarve - Portugal (Faro)
16.06.19 - 22.06.19Beliakova, Anna
Prof. Dr. Vaughan F.R. Jones, UC Berkeley (Berkeley)
Talk: What on earth is going on with subfactors?
20.05.19 - 22.05.19Beliakova, Anna
Prof. Dr. Christian Blanchet, Université Paris 7 (France)
29.04.19 - 03.05.19Beliakova, Anna
Dr. Azat Gainutdinov, University of Hamburg (Hamburg)
29.04.19 - 03.05.19Beliakova, Anna
Dr. Emmanuel Wagner, Université de Bourgogne (Dijon)
Talk: Talk II: gl_0 knot homology
03.04.19 - 05.04.19Beliakova, Anna
Dr. Azat Gainutdinov, University of Hamburg (Hamburg)
25.03.19 - 28.03.19Beliakova, Anna
Dr. Louis-Hadrien Robert, Université de Genève (Genève)
Talk: Talk I: gl_0 knot homology
18.03.19 - 19.03.19Beliakova, Anna
Dr. Laurant Szegedy, Universität Hamburg (Hamburg)
Talk: Topological field theory on r-spin surfaces and the Arf invariant
18.03.19 - 20.03.19Beliakova, Anna
Dr. Azat Gainutdinov, University of Hamburg (Hamburg)
25.02.19 - 28.02.19Beliakova, Anna


SwissMAP Conference Algebraic Structures in Topology and Geometry, Riederalp, Switzerland, January 14-19, 2018
Women in Topology and Geometry , together with Anton Alekseev and Maria Podkopaeva, Zurich, Switzerland, June 14-16, 2017
SwissMAP conference Geometry and Topology , Engelberg, Switzerland, January 24-29, 2016
Conference: Categorification in Algebra, Geometry and Physics, Cargèse, Corsica, May 4-8, 2015
SwissMAP Geometry & Topology conference, Engelberg, Switzerland, January 18-23, 2015
SwissMAP Summer school 2015, Engelberg, Switzerland, September 2-4, 2015
Second SwissMAP Geometry & Topology conference, Les Diablerets, Switzerland, June 22-26, 2015
SwissMAP Summer school 2015, Les Diablerets, Switzerland, August 24-27, 2014
International Conference Quantum Topology and Hyperbolic Geometry, Nha Trang, Vietnam, May 13-17, 2013
International Conference Swiss Knots 2011, Gwatt, Switzerland, May 22-27, 2011
Joint Meeting of the American Mathematical Society, Deutsche Mathematische Vereinigung and Oesterreichische Mathematische Gesellschaft, Special Session on "Quantum Knots Invariants", Mainz, Germany, June 16-19, 2005


AMS, International Meeting 2015, Porto, Portugal, June 10- 13, 2015
Séminaire Kervaire: Winter School in Mathematical Physics, Les Diablerets, Switzerland, January 11-16, 2015
Conference on Knot Theory and Its Applications to Physics and Quantum Computing, UT Dallas, January 6-9, 2015