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 05
Büro: Y27J18
Niedrigdimensionale Topologie
Gerda Schacher

+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
FS 19

Vorlesungen & Seminare

Introduction to Algebraic Topology

Exercises Introduction to Algebraic Topology, Gr.1
Exercises Introduction to Algebraic Topology, Gr.2


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. Joel Kamnitzer, University of Toronto (Toronto)
Talk: Representation theory, geometric Langlands duality and categorification I
Talk: Representation theory, geometric Langlands duality and categorification II
Talk: Representation theory, geometric Langlands duality and categorification III
Talk: Representation theory, geometric Langlands duality and categorification IV
12.10.14 - 25.10.14Beliakova, Anna
Prof. Dr. Thang Le, School of Mathematics, Georgia Inst. of Technology (Georgia)
31.08.14 - 20.09.14Beliakova, Anna
Prof. Dr. Stephan Wehrli, Syracuse University (Syracuse, NY)
16.07.14 - 18.07.14Beliakova, Anna
Dr. Daniel Tubbenhauer, Universität Zürich (Zürich)
13.07.14 - 19.07.14Beliakova, Anna
Aaron Lauda, Columbia University (New York)
30.06.14 - 04.07.14Beliakova, Anna
Prof. Dr. Ben Webster, University of Virginia (Charlottesville)
13.05.14 - 17.05.14Beliakova, Anna
Prof. Dr. Grigory Mikhalkin, Université de Genève (Genève)
06.03.14 - 07.03.14Beliakova, Anna


Topologie de basse dimension, colloque en l'honneur de Christian Blanchet, Université Paris Diderot, Paris, June 11-12, 2019,  url
Quantum Topology and Hyperbolic Geometry Conference, Da Nang, May 27-31, 2019
Conference: Categorification and Higher Representation Theory, Institut Mittag-Leffler, Sweden, July 9-13, 2018, url
Homology Theories in Low Dimensional Topology, January, April, June 2017, Isaac Newton Institute, Cambridge, UK, url
SwissMAP General Meeting, September 11-14, 2016, Engelberg, Switzerland, url
Conference: KNOTS in Hellas 2016, July 17-23, 2016, Athens, Greece, url
SwissMAP site visit, June 2-3, ETH Zürich, Switzerland
Conference: In Memory of Robert Schrader, May 23, 2016, ETH Zürich, Switzerland, url
Third SwissMAP Geometry & Topology conference, January 25-29, 2016, Engelberg, Switzerland
Summer school 2015, September 2-4, 2015, Engelberg, Switzerland, url
Second SwissMAP Geometry & Topology conference, June 22-26, 2015, Les Diablerets, Switzerland, url
AMS, International Meeting 2015, June 10 to June 13, 2015, Porto, Portugal, url
Conference: Categorification in Algebra, Geometry and Physics, May 4 to May 8, 2015 at Cargèse, Corsica, url
First SwissMAP Geometry & Topology conference, January 18 to 23, 2015, Engelberg, Switzerland, url
Séminaire Kervaire: Winter School in Mathematical Physics - 2015, January 11 to January 16, 2015, Les Diablerets, url
Conference on Knot Theory and Its Applications to Physics and Quantum Computing, January 6 to January 9, 2015 at UT Dallas, url
Summer school, August 24 to August 27, 2014, Les Diabrelets, url