Enumerative geometry and quantum integrable systems, Harmonic Analysis Seminar, LSU, December 6, 2017. |

Quantum equivariant K-theory and integrability, Enumerative Geometry Seminar, Columbia University, May 8, 2017. |

Quantum Equivariant K-theory and Quantum Spin Chains, University of California, Davis, QMAP Seminar, March 17, 2017. |

Generalized Teichmueller Spaces, Spin Structures and Ptolemy Transformations
(pdf), Louisiana State University, February 6, 2017. |

Generalized Teichmueller Spaces, Spin Structures and Ptolemy Transformations,
Special Mathematics Colloquium, University of Arizona, February 2, 2017. |

Generalizations of Teichmueller space Department Mathematics & Statistics, University of Massachusetts Amherst, December 15, 2016. |

Generalizations of Teichmueller Space Special Department of Mathematics Colloquium, Purdue University, December 6, 2016. |

Super-Teichmueller spaces and new cluster transformations, Geometry, Physics and Representation theory seminar, Northeastern University, December 1, 2016. |

Penner coordinates on super-Teichmueller spaces
(abstract),
Cluster Algebras Seminar, University of Notre Dame, November 7, 2016. |

Penner coordinates on super-Teichmueller spaces (pdf), Representation Theory, Geometry, Combinatorics (RTTG) Seminar, UC Berkeley, October 28, 2016. |

"N=1 and N=2 Super-Teichmueller theory",
Cluster Algebras Seminar, University of Connecticut, October 7, 2016. |

"Einstein field equations, Courant algebroids and Homotopy algebras"
(pdf), Geometric Structures Laboratory, The Fields Institute for Research in Mathematical Sciences, September 27, 2016. |

"Super-Teichmueller theory", Symplectic Seminar, University of Toronto, September 26, 2016. |

"Homotopy Gerstenhaber algebra as a hidden structure within Einstein equations",
Centre for Quantum Geometry of Moduli Spaces, Aarhus University, June 30, 2016. |

"Super-Teichmueller theory" , Centre for Quantum Geometry of Moduli Spaces, Aarhus University, June 28, 2016. |

"Einstein equations, Beltrami-Courant differentials and
Homotopy Gerstenhaber algebras",
University of Nottingham, May 25-27, 2016. |

"Coordinates on the decorated super-Teichmueller spaces", Algebra and Combinatorics Seminar, North Carolina State University, April 18, 2016. |

"New cluster transformations and super-Teichmueller spaces", Physically Inspired Mathematics Seminar, The Universitety of North Carolina at Chapell Hill, April 15, 2016. |

"Towards the continuous analogue of Kazhdan-Lusztig correspondence"
(video,
pdf), Workshop Vertex Algebras and Quantum Groups (16w5070) Banff International Research Station, Canada, February 7-12, 2016. |

"Einstein equations, Beltrami-Courant differentials and
Homotopy Gerstenhaber algebras"
(pdf), University of Pennsylvania, December 11, 2015. |

"On the Decorated Super-Teichmueller Spaces" , Math-Physics Joint Seminar, University of Pennsylvania, November 19, 2015. |

"Decorated Super-Teichmueller theory" Columbia University, New York, November 9, 2015. |

"Decorated Super-Teichmueller Space", Lie Groups Quantum Mathematics Seminar, Rutgers University, November 6, 2015. |

"Superopers and their properties", Int.Conf. Representation Theory and Related Topics, University of Connecticut, USA, May 11-12, 2015. |

"Beltrami-Courant Dierentials and Homotopy
Gerstenhaber algebras" (pdf) The 30th International Colloquium on Group Theoretical Methods in Physics, Ghent University in Ghent, Belgium, 14-18 July, 2014. |

"Superopers on Supercurves" (pdf), 567th WE-Heraeus Seminar "Integrable Lattice Models and Quantum Field Theories", Physikzentrum Bad Honnef, Germany, June 28 - July 2, 2014. |

"Sigma Models and Beltrami-Courant Differentials",
Mathematics Colloquia and Seminars, String Theory, University of California, Davis, USA, May 27, 2014. |

"Towards the unitary representations of affine sl(2,R)", Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University in the city of New York, USA, April 25, 2014. |

"Continuous series of affine sl(2,R), modular double of quantum group and all that"
, Institut des Hautes Etudes Scientifiques, Séminaire de Mathématiques, Serie de "Courts Exposes", Mardi 1er avril 2014. |

"Generalized Beltrami differentials, homotopy Gerstenhaber algebras and
sigma-models", Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University in the city of New York, USA, February 21, 2014. |

"On the continuous series for affine sl(2,R)", Emmy-Noether-Seminar, Emmy-Noether Zentrum, Department Mathematik, Friedrich-Alexander Universität Erlangen-Nürnberg, Germany, February 7, 2014. |

"Continuous series of affine sl(2,R) and beyond", Institute for Theoretical Physics, University of Cologne, Germany, January 16, 2014. |

"Generalized Beltrami differentials and homotopy Gerstenhaber algebras", Higher Differential Geometry Seminar, Max Planck Institute for Mathematics, Bonn, Germany, December 11, 2013. |

"Superopers on Supercurves", Working Group Algebra, Geometry and Quantization, University of Luxembourg, December 3, 2013. |

"On the construction of the continuous series of affine sl(2,R)", MPI-Oberseminar, Max Planck Institute for Mathematics, Bonn, Germany, November 7, 2013. |

"Conformal invariance for sigma models, Courant algebroids and homotopy algebras", Workshop Higher Geometric Structures along the Lower Rhine III, Utrecht University, The Netherlands, October 17-18, 2013. |

"Lian-Zuckerman homotopy algebras, Courant/Vertex algebroids and beta-functions of string theory", Columbia Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University, New York, October 28, 2011. |

"Loop ax+b group, gamma-function and modular double", Columbia Informal Categorification and Representation Theory Seminar, Columbia University, New York, October 27, 2011. |

"Quantum group as semi-infinite cohomology", Columbia Informal Categorification and Representation Theory Seminar, Columbia University, New York, October 25, 2011. |

"Homotopy Relations for Topological VOA", (slides) AMS Sectional Meeting, Cornell University, Ithaca, NY, September 10-11, 2011. |

Lectures: "Introduction to Vertex Operator Algebras",
"Vertex Algebroids", "Relation of VOA to the chiral algebras of Beilinson and Drinfeld", "Fusion tensor category for representations of affine Lie algebras", Columbia University, New York, July 6-9, 2011. |

"Homotopy relations for topological vertex operator algebras. Pt. 2", Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, June 16, 2011 (1124.pdf). |

"Homotopy relations for topological vertex operator algebras", Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, June 9, 2011 (1123.pdf). |

"N=4 Supersymmetric Yang-Mills theory as a harmonic oscillator of XXI century", Graduate Student Seminar, Yale University, New Haven, CT, April 15, 2011 (1116.pdf). |

"Homotopy BV algebras, Courant algebroids and String Field Theory",
(slides), AMS Sectional Meeting, Richmond, VA, November 6-7, 2010. |

"Homotopy Algebras in their Applications in Geometry and Physics", Graduate Student Seminar, Yale University, New Haven, CT, February 12, 2010 (962.pdf). |

"From Lian-Zuckerman Algebras to the Algebraic Structure of Classical Field Equations", Lie Group/Quantum Mathematics Seminar, Rutgers University, January 29, 2010. |

"Twistor formalism for 10d super Yang-Mills and the Berkovits complex", Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, May 27, 2009 (867.pdf). |

"The Berkovits complex and super-Yang-Mills", Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, May 21, 2009 (866.pdf). |

"Algebraic structures related to D=10 N=1 SUSY Yang-Mills theory", Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, April 23, 2009 (862.pdf). |

"Field Equations from Homotopy Algebras of CFT",
(slide), "Braided Vertex Algebras, Semi-infinite Cohomology and Quantum Group", (slide), AMS Sectional Meeting, Raleigh, NC, USA, April 4-5, 2009. |

"Berezin Integral, Equivariant Cohomology and Mathai-Quillen Formalism", Graduate Student Seminar, Yale University, New Haven, CT, October 31, 2008 (811.pdf). |

Special Minicourse "Homotopy Structure of Gauge Theory", Simons Center For Geometry And Physics, Stony Brook University, Stony Brook, NY, March 20-21, 2008. |

"BRST, CFT and Classical Field Equations", Math-Physics Joint Seminar, University of Pennsylvania, Philadelphia, PA, February 29, 2008. |

"Gauge Theory and Homotopy Lie Algebra", Deformation Theory Seminar, University of Pennsylvania, Philadelphia, PA, February 27, 2008. |

"Gauge Theories and Homotopy Lie Algebras", Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, January 31, 2008 (728.pdf). |

"BV Yang-Mills as a Homotopy Chern-Simons", informal lunch seminar of Particle Theory Group, Yale University, New Haven, CT, December 6, 2007. |

"Representations of quantum superalgebras and integrable structures of superconformal field theory", Seminar on Department of High Energy and Elementary Particles Physics, Physics Faculty, St. Petersburg State University, Russia, May 22, 2007. |

"CFT and representations of quantum (super)algebras: quantization of (super)KdV hierarchies", Seminar"Geometry, Symmetry and Physics", Yale University, New Haven, CT, November 30, 2006 (553.pdf). |

"Quantum Toda-mKdV Hierarchies Based on Lie Superalgebras & On the First Order Formalism in String Theory", High energy theory special seminar, Weizmann Institute of Science, Israel, May 18, 2005. |

"Integrability of Superconformal Field Theory and SUSY N=1 KdV", Cargèse Summer School "String Theory: from Gauge Interactions to Cosmology", Cargèse, France, June 7 - 19, 2004. |

"Classical and Quantum Inverse Scattering Methods for Integrable Systems with
Additional Symmetries: the Super-KdV Equation", GAMM 75th Annual Meeting, Dresden, Germany, 21-27 March, 2004. |

"Quantum inverse scattering method and Conformal field theories", International V. A. Fock School for Advances of Physics, XIIth session, St.Petersburg, Russia, 20 - 25 October 2003. |

"Supersymmetric KdV model: classical case and quantization"
(introduction ps;
main part ps), Int.Conf. "Mysteries, Puzzles and Paradoxes in Quantum Mechanics", September 1-5, 2003, Garda Lake, Italy, September 1-5, 2003. |

"Supersymmetric extensions of the KdV equations, Drinfeld-Sokolov
reduction and inverse scattering" (ps), Int.Conf. "Patterns and Waves: Theory and Applications", St.Petersburg, Russia, July 8 - 12, 2002. |