The complete intersection discrepancy of a curve,  Algebraic Geometry Seminar, University of Chicago, April 14, 2025.

A Plücker formula and equisingularity for projective curves, Inria Centre at Université Côte d'Azur, March 25, 2025.

A Plücker formula and equisingularity for projective curves, Séminaire de singularités à Lille, February 25, 2025. 

A Plücker formula and equisingularity for curves, Universidad Politecnica de Madrid,  Seminario del Grupo de Investigacion Geometrıa y sus aplicaciones, January 23, 2025. 

The complete intersection discrepancy of a curve, 18th International Workshop on Complex and Real Singularities, Valencia, July 21-26, 2024.

The complete intersection discrepancy of curves, Un día singular: Jornada en Teoría de Singularidades, Universidad Complutense Madrid, June 18, 2024. 

The Milnor number of a smoothable curve, Séminaire sur les Singularités, IMJ-PRG, 13 February, 2024.

Stratified Morse theory and the critical locus of a linear functional, International Center for Mathematical Sciences-Sofia, January, 2024.

Bi-Lipschitz equivalence of quasi-ordinary singularities, Séminaire sur les Singularités, IMJ-PRG, 25 May, 2022.

Relative Normalization,  AMS Special Session on Commutative Algebra and Connections with Algebraic Geometry, Purdue University, March 2022.

The evolving notion of multiplicity, Invited Address at the Fifty First Spring Conference of the Union of Bulgarian Mathematicians, Tryavna, Bulgaria, April 2022.

The evolving notion of multiplicity,  A conference in honor of Steven Kleiman's 80th birthday, IMPA, Rio de Janeiro, March 2022. 

The special fiber of a conormal space, Iberoamerican Webinar in Singularity Theory, January 2022. 

A valuation theorem for Noetherian rings, Algebra and Logic Seminar, IMI-BAS, January 2022. 

Rigidity and Generalized Smoothability, International Conference Geometry and Homological Mirror Symmetry, Sochi, December 2021. 

Algebraic theory of continuity for meromorphic functions on a complex analytic variety, Metric Geometry of Singularities, University of Chicago Center in Paris, June 2021. 

Rigidity in dimension 2, Reunion annuelle du GDR singularites et applications, Universite de Paris, November 2020.

Generalized smoothability, Algebraic Theory of Singularities, IMPA, Rio de Janeiro, March 2020.

Algebraic theory of continuity for meromorphic functions, Deparment of Analysic, Geometry and Topology Seminar, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, December 2019.

Lipschitz geometry and Zariski equisingularity, Hyperplane Arrangements and Singularities. Memorial Conference for Stefan Papadima, University of Tokyo, December 2019.

Algebraic theory of continuity for meromorphic functions, Algebraic geometry seminar, University of Chicago, November 2019.

Generalized Smoothability, Algebraic geometry and commutative algebra seminar, Notre Dame, November 2019.

Equisingularity and generalized smoothability, Algebraic geometry seminar, Purdue, October 2019.

Lipschitz geometry and Zariski equisingularity, Geometry and Topology Seminar, University of Chicago, October 2019.

Generalized smoothability, Singularities Seminar, IMJ-PRG, Paris, September 2019.

Lipschitz geometry of quasi-ordinary singularities, Singularities Seminar, Institut Mathematique de Marseille, Aix-Marseille Universite, Marseille, France, September 2019.

Generalized Smoothability, Non-isolated singularities and derived geometry, a celebration of David Massey's 60th birthday, UNAM, Cuernava, Mexico, August 2019.

Thom's transversality and generalized smoothability, IMPA, Rio de Janeiro, July, 2019.

Local volumes, equisingularity, and generalized smoothability, Northwestern University Algebraic Geometry Seminar, May, 2019.

Local volumes, equisingularity, and generalized smoothability, UIC Algebraic Geometry Seminar, May, 2019.

Asymptotics of intersection numbers and deficient conormal singularities, 15th International workshop on real and complex singularities, Sao Carlos, Brazil, 23rd July, 2018, Satellite Conference of the ICM.

Deformations of isolated singularities and local volumes, Singularities Seminar, IMJ-PRG, Paris, Nov. 2017.

Deformations of isolated singularities and local volumes, Route 81 Conference, Cornell University, Ithaca, Oct. 2017.

Restricted local volumes and deformation theory, University of Chicago, Algebraic Geometry Seminar, October 25th, 2016.

Restricted local volumes and deformation theory, World Wide Center of Mathematics, October 21st, 2016, youtube video available here

Local volumes and deformations, Interactions in Geometry - international conference in honor of Johan Davidov and Oleg Mushkarov, Bulgarian Academy of Sciences, Sofia, August, 2016.

Local volumes and equisingularity theory, Geometry, Algebra, Combinatorics and Singularities Seminar, Northeastern University, February 2016.

Local volumes and equisingularity theory, Algebraic Geometry Seminar, Princeton University, October 2015.

Deformation theory of multiplicities and applications, Instituto Nacional de Matematica Pura e Aplicada (IMPA), Rio de Janeiro, Brazil, June, 2015.

The epsilon multiplicity and polar varieties, 13th International workshop on real and complex singularities, Sao Carlos, Brazil, August, 2014.

The epsilon multiplicity and polar varieties, Maurice Auslander Distinguished Lectures and International Conference, Woods Hole, USA,May, 2014.

John Milnor and his contribution to differential topology and singularity theory, National colloquium of mathematics, Bulgarian Academy of Sciences, November 2011.

Equisingularity Theory - History and New Developments National colloquium of mathematics, Bulgarian Academy of Sciences, May 2008.

Equisingularity theory of complex analytic families, Steklov Mathematical Institute, Department of Algebra Seminar, Russian Academy of Sciences, December 2008.

Local solvability of diagonal forms in many variables, New Trends in Mathematics and Informatics 60 years Institute of Mathematics and Informatics, BAS, July 2007.

Density problems and Artin's conjecture on the primitive roots, Special Seminar, Institute of Mathematics and Informatics, BAS, May 2004.