Institut für Mathematik

People

Prof. Dr. Anna Beliakova

Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich

E-Mail:
Tel.: +41 44 635 58 91
Fax: +41 44 635 57 05
Büro: Y27J18
Arbeitsfelder:
Niedrigdimensionale Topologie
Sekretariat:
E-Mail:
Tel.
Gerda Schacher

+41 44 635 58 51

Vita

Education

  • 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


Employment

  • 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
HS 18

Vorlesungen & Seminare


Vorlesungen
Introduction to representation theory
Mo
13.00-14.45
Mi
15.00-17.00

Exercises Introduction to representation theory
Mo 8-10h im 27-H-28 ausser KW9: dann Do 15-17 im 27-H-25

Publikationen

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  

Gäste


2019201820172016201520142013201220112010Alle
GästeAufenthalt
Prof. Dr. Kazuo Habiro, RIMS (Kyoto)
11.12.11 - 21.12.11Beliakova, Anna
Dr. Benjamin Cooper, Universität Zürich (Zürich)
16.07.11 - 18.07.11Beliakova, Anna
Prof. Dr. Slava Krushkal, University Virginia (Charlottesville)
16.07.11 - 31.07.11Beliakova, Anna
Dr. Marko Zivkovic, Universität Zürich (Zürich)
06.06.11 - 09.06.11Beliakova, Anna
Prof. Dr. Kazuo Habiro, RIMS (Kyoto)
28.05.11 - 04.06.11Beliakova, Anna
Prof. Dr. Mikhail Khovanov, Columbia University (New York)
28.05.11 - 29.05.11Beliakova, Anna
Prof. Dr. Jozef Przytycki, George Washington University (Washington)
28.05.11 - 29.05.11Beliakova, Anna
Sakie Suzuki, Kyoto University (Kyoto)
28.05.11 - 04.06.11Beliakova, Anna
Prof. Dr. Mikhail Khovanov, Columbia University (New York)
20.05.11 - 22.05.11Beliakova, Anna
Dror Bar-Natan, University of Toronto (Toronto, Ontario, Canada)
19.05.11 - 22.05.11Beliakova, Anna
Sabin Cautis, Columbia University (New York)
Talk: Categorified Heisenberg actions on Hilbert schemes
10.05.11 - 18.05.11Beliakova, Anna
Aaron Lauda, Columbia University (New York)
Talk: From partial flag varieties to categorified quantum groups
Talk: The nilHecke algebra and categorified quantum sl2
Talk: Beyond the nilHecke algebra: categorifying Kac-Moody algebras
05.05.11 - 22.05.11Beliakova, Anna
Dr. Nicolas Libedinsky, Albert-Ludwigs Universität Freiburg (Freiburg )
Talk: Soergel bimodules
17.04.11 - 19.04.11Beliakova, Anna
Prof. Dr. Thang Le, School of Mathematics, Georgia Inst. of Technology (Georgia)
20.03.11 - 21.03.11Beliakova, Anna
Prof. Dr. Gwénaël Massuyeau, IRMA - Strasbourg (Strasbourg)
Talk: Equivalence relations on 3-manifolds defined by the lower central series of the Torelli group
16.03.11 - 17.03.11Beliakova, Anna
Prof. Dr. Kazuo Habiro, RIMS (Kyoto)
Talk: Quantum fundamental groups and quantum representation varieties for 3-manifolds
16.01.11 - 13.02.11Beliakova, Anna