Talks and Presentations

q-Opers and applications,
Algebra Seminar, University of Oregon, Eugene, USA, November 14, 2023.
Geometric wonders of classical and quantum integrable systems (slides pdf),
Colloquium, University of Oregon, Eugene, USA, November 13, 2023.
"Quantum/classical duality and geometry" (slides pdf),
AMS Special Session on Categorical Representations, Quantum Algebra, and Related Topics, University of South Alabama, USA, 13-18 October, 2023.
"Geometric realisations of Bethe equations",
Mini-course, CIME Summer school, "Enumerative geometry, quantisation and moduli spaces", Cetraro, Italy, 4-8 September, 2023.
"Super-Teichmueller spaces: coordinates and applications" (slides pdf, video),
Simons Center for Geometry and Physics, Workshop: SuperGeometry and SuperModuli: March 27, 2023.
"Geometric wonders of classical and quantum integrable systems" (slides pdf),
Department Colloquium, Department of Mathematics, University of California San Diego, January 30, 2023.
"Geometric wonders of classical and quantum integrable systems",
Department of Mathematics, Rutgers University, December 22, 2022.
"Bethe ansatz in the geometric setting" (video, slides),
Simons Program: Integrability, enumerative geometry and quantization, Simons Center for Geometry and Physics, USA, September 2,2022.
"ħ-opers and the geometric approach to the Bethe ansatz" (slides pdf),
Simons workshop "From Representation Theory to Mathematical Physics and Back", Simons Center for Geometry and Physics, USA, May 31 - June 4, 2022.
"Super-Teichmueller spaces and Penner coordinates",
Colloquia, the University of Toledo, USA, April 8, 2022.
"On q-Langlands correspondence, Bethe equations, and Applications",
AMS Special Session on Integrability, Symmetry and Physics IV, Purdue University, USA, March 27, 2022.
"Hyperbolic supergeometry and super-Teichmüller spaces" (video),
Supergeometry and Bracket Structures in Mathematics and Physics, The Fields Institute, Canada, March 21, 2022.
"Spin chains and geometric structures",
"Integrable Probability, Classical and Quantum Integrability" (PIICQ), France, February 28, 2022.
"q-opers and the geometric approach to the Bethe ansatz equations" (slides pdf),
"Quantum Curves, Integrability and Cluster Algebras", MATRIX Institute, The University of Melbourne, Australia, December 17, 2021.
"q-Opers and Applications",
AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, the University of South Alabama, USA, November 20, 2021.
"q-Opers, QQ-Systems, and Bethe Ansatz",
Informal Mathematical Physics Seminar, Columbia University in the city of New York, USA, November 17, 2020.
"Hyperbolic supergeometry, super-Teichmueller spaces, and applications" (slides pdf),
"Teichmueller Theory: Classical, Higher, Super and Quantum", Centre International de Rencontres Mathematiques - Marseille Luminy, Marseille, France, October 8, 2020.
Super-Teichmueller spaces: an introduction and some results,
Moduli Spaces seminar, School of Mathematics and Statistics at the University of Melbourne, Australia, September 23, 2020.
"Geometry of Bethe Equations and q-Opers", (notes, stream)
Informal string-math seminar (online), University of California, Berkeley, USA, June 8, 2020.
Workshop "Emergent Geometries from Strings and Quantum Fields",
The Galileo Galilei Institute for Theoretical Physics, Ferenze, Italy, April 27 - May 8, 2020.
"A geometric view of the Bethe ansatz equations: q-opers"
AMS Sectional Meeting, 1157, Special Session on Integrability, Symmetry and Physics, Purdue University, West Lafayette, IN, April 4-5, 2020.
"Super-Teichmueller spaces: old and new results" (pdf)
University of Virginia, Geometry seminar, USA, February 25, 2020.
"Super-Teichmueller spaces and all that",
Department of High Energy and Particles Physics, St. Petersburg State University, Russia, December 24, 2019.
"The Bethe ansatz from geometry"
MS Seminar (Mathematics - String Theory), Kavli Institute for the Physics and Mathematics of the Universe (IPMU), Tokyo, Japan, December 5, 2019.
"Homotopy Gerstenhaber algebras, Courant algebroids, and Field Equations" (pdf),
Tuesday Seminar on Topology, University of Tokyo, Japan, December 3, 2019.
Lectures: "Introduction to the theory of super Riemann surfaces", "N = 1 and N = 2 super-Teichmueller theory", "Super-Teichmueller theory: some recent results";
Workshop "Super-Riemann surfaces and related topics", University of Tokyo, Japan, December 2-4, 2019.
"q-opers, QQ-systems, and q-Langlands correspondence",
Physically inspired mathematics seminar, The University of North Carolina at Chapel Hill, USA, November 15, 2019.
"The geometric meaning of Bethe equations" (pdf),
Special Session on Geometric Methods in Representation Theory, II; AMS Fall Western Sectional Meeting, University of California, Riverside, USA, November 9, 2019.
"Decorated super-Teichmueller spaces and super-Ptolemy relations" (pdf),
Special Session on Canonical Bases, Cluster Structures and Non-commutative Birational Geometry, I; AMS Fall Western Sectional Meeting, University of California, Riverside, USA, November 9, 2019.
"Super-Teichmueller spaces and related structures",
Subfactor Seminar, Vanderbilt University, Nashville, USA, October 4, 2019.
"Super Teichmüller Space and the McShane Identity",
Séminaire de Mathématiques, IHES, France, July 17, 2019.
"Field Equations, Homotopy Gerstenhaber Algebras and Courant Algebroids" (pdf),
Representation Theory and Mathematical Physics Seminar, UC Berkeley, USA, April 16, 2019.
"Quantum integrable systems via quantum K-theory" (pdf),
Math-Physics Joint Seminar, University of Pennsylvania, USA, March 14, 2019.
"Hidden Homotopy Symmetries of Einstein Field Equations" (pdf),
Informal Geometry and Topology Seminar, Louisiana State University, USA, February 6, 2019.
"Super-Teichmüller Spaces, Spin Structures, Penner Coordinates, and Applications", (pdf)
Special Seminar, Columbia University in the city of New York, USA, February 1, 2019.
"Thoughts on Supermoduli",
Harmonic Analysis Seminar, Louisiana State University, USA, November 8, 2018.
"Super-Teichmüller spaces and related structures" (pdf),
Workshop at Oberwolfach " New Trends in Teichmüller Theory and Mapping Class Groups", Germany, September 2-8, 2018.
" Super-Teichmueller spaces and related structures",
Thematic Program on Teichmüller Theory and its Connections to Geometry, Topology and Dynamics,
The Fields Institute for Research in Mathematical Sciences, Toronto, Canada, July 17, 2018.
"Super-Teichmueller Theory",
University of California, Davis, QMAP Seminar, USA, April 6, 2018.
"Quantum Integrable Systems and Enumerative Geometry",
Colloquium, Michigan State University, USA, February 5, 2018.
"Enumerative geometry and quantum integrable systems",
Harmonic Analysis Seminar, Louisiana State University, USA, 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, USA, March 17, 2017.
"Generalized Teichmueller Spaces, Spin Structures and Ptolemy Transformations" (pdf),
Louisiana State University, USA, February 6, 2017.
"Generalized Teichmueller Spaces, Spin Structures and Ptolemy Transformations",
Special Mathematics Colloquium, University of Arizona, USA, February 2, 2017.
"Generalizations of Teichmueller space"
Department Mathematics & Statistics, University of Massachusetts Amherst, USA, December 15, 2016.
"Generalizations of Teichmueller Space"
Special Department of Mathematics Colloquium, Purdue University, USA, December 6, 2016.
"Super-Teichmueller spaces and new cluster transformations",
Geometry, Physics and Representation theory seminar, Northeastern University, USA, December 1, 2016.
"Penner coordinates on super-Teichmueller spaces" (abstract),
Cluster Algebras Seminar, University of Notre Dame, USA, November 7, 2016.
"Penner coordinates on super-Teichmueller spaces" (pdf),
Representation Theory, Geometry, Combinatorics (RTTG) Seminar, UC Berkeley, USA, October 28, 2016.
"N=1 and N=2 Super-Teichmueller theory",
Cluster Algebras Seminar, University of Connecticut, USA, October 7, 2016.
"Einstein field equations, Courant algebroids and Homotopy algebras" (pdf),
Geometric Structures Laboratory, The Fields Institute for Research in Mathematical Sciences, Canada, September 27, 2016.
"Super-Teichmueller theory",
Symplectic Seminar, University of Toronto, Canada, 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.
"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 .
"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 .
"The Berkovits complex and super-Yang-Mills",
Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, May 21, 2009 .
"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 .
"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 .
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.
"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.
"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.

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