Invited conference talks

**Coding and decoding in graphs and linear orderings**, joint work with J. Knight and S. Vatev, plenary talk at the Higher Recursion Theory and Set Theory, in celebration of the research work of Professors Theodore A. Slaman and W. Hugh Woodin, Singapore, 2019, May 25-June14.**Cototal enumeration degrees and the skip operator**, joint work with Uri Andrews, Hristo Ganchev, Rutger Kuyper, Steffen Lempp, Joseph Miller and Mariya Soskova, plenary talk at the Aspects of Computation, in celebration of the research work of Professor Rod Downey, Workshop on Classical Computability Theory, Singapore, Institute for Mathematical Science, 2017, September 4-8. Video**Structural properties of spectra and co-spectra**, plenary talk at the Workshop in Computability theory, Ghent University, Ghent, 2016, May 30-June 1.**Some applications of Markers extensions for a sequence of structures**, with Stefan Vatev and Alexander Terziivanov, special session talk at the AMS-Spring Eastern Sectional Meeting, Georgetown University, Washington DC, 2015, March 7-8.**A parallel between classical computability theory and effective definability in abstract structures**, plenary talk at the Workshop in Computability theory, 2014, Charles University, Praga, 2014, July 3-4.**Omega-degree spectra**, invited talk at Buenos Aires Semester in Computability, Complexity and Randomness, Buenos Aires, 2013, February 6.**Enumeration Degree Spectra**, special session talk at The Incomputable, a workshop of the 6-month Isaac Newton Institute programme - "Semantics and Syntax: A Legacy of Alan Turing", Kavli Royal Society International Centre, Chicheley Hall, 2012, June 11-16.**Conservative extensions and the jump of a structure**, with Ivan Soskov and Stefan Vatev, invited talk at Semantics and Syntax: A Legacy of Alan Turing (SAS), Isaac Newton Institute for Mathematical Science, Cambridge, 2012, June 7. Video**Enumeration Degree Spectra**, invited talk at Conference on Definability in Computable Structures, Chicago university, 2012, May 12-13.**Partial Degree Spectra**, with Ivan Soskov, special session talk at the 2012 AMS Spring Eastern Sectional Meeting, George Washington University, Washington DC, 2012, March 17-18.**Degree spectra and conservative extensions of abstract structures**, plenary talk at the First session of the Workshop in Computability theory, 2011, University of San Francisco, co-located with 2011 ASL North American Annual Meeting, San Francisco, 2011, March 22-23.**Computability**,**Reducibility**,**Degree Spectra**lectures at First International Istanbul Graduate Summer School in Logic - Modal Logic and its Applications, Istanbul Kultur University, Istanbul, 2010, August 9-14. ,,**Enumeration Degree Spectra of Abstract Structures**, plenary talk at the Second session of the Workshop in Computability theory, 2010, University of Chicago Center in Paris, July 23-24.**Computability and degree spectra of structures**, in Bulgarian, Kliment lecture at the FMI Mathematical Seminar, Sofia university, 2005, November 24.

Contributed conference talks

**Effective coding and decoding in graphs and linear ordering**, National Coding Theory Workshop "Professor Stefan Dodunekov", Chiflika, 2019, November 21-24.**Effective coding and decoding structures**, Logic Colloqium 2019, Prague, 2019, August 10-16.**Coding in graphs and linear orderings**, Spring Science Session "130 years Faculty of Mathematics and Informatics", Sofia, 2019, March 16.**Structural properties of the cototal enumeration degrees**, LC2017, Stockholm, 2017, August 14-20.**Structural properties of spectra and omega-spectra**, CiE2017, Turku, 2017, June 12-16.**Generalization of the notion of jump sequence of sets for sequences of structures**, with Stefan Vatev and Alexander Terziivanov, PLS10, Samos, 2015, June 11-15.**A parallel between classical computability theory and effective definability in abstract structures. The last paper of Ivan Soskov**, Conference in memory of Ivan Soskov, Gjuletchica, 2014, September 19-22.**Degree spectra of sequences of structures**, LC2014, Vienna, 2014, August 14-19.**Joint Spectra and Relative Spectra of structures**, CiE2014, Budapest, 2014, June 23-27.**Quasi-minimal degrees for degree spectra of structures**, Spring scientific session of FMI, Sofia, 2013, March 16.**A note of omega-jump-inversion of degree spectra of structures -- Ivan Soskov's talk**, CiE2013, Milan, 2013, July 1-5.**Degree spectra and conservative extensions of abstract structures**, with Ivan Soskov and Stefan Vatev, Malcev's meeting, Novosibirsk, 2011, October 11-14.**Enumeration degree spectra**, with Ivan Soskov, Scientific session on the occasion of 120 years FMI, Sofia, 2009, October 24.**Some applications of the Jump Inversion Theorem for the Degree Spectra**, with Ivan Soskov, CiE2009, Heidelberg, 2009, July 19-24.**Applications of jump inversion theorem for degree spectra of structures**, with Ivan Soskov, in Bulgarian, Spring scientific session of FMI, Sofia, 2009, March 28.**Properties of omega-degree spectra**, LC2006 Bern, 2008, July 3-8.**Omega-degree spectra**, CiE2008, Athens, 2008, June 15-20.**A theorem of jump inversion for degree spectra of structures**, with Ivan Soskov, in Bulgarian, Spring scientific session of FMI, Sofia, 2008, March 29.**Omega spectra**, with Stefan Vatev, in Bulgarian, Spring scientific session of FMI, Sofia, 2008, March 29.**Jump Spectra of abstract structures**, with Ivan Soskov PLS6, Volos, 2007, July 5-8.**A Jump Inversion Theorem for the Degree Spectra**CiE2007, Siena, 2007, June 18-23.**Properties of Relative spectra**LC2006, Nijmegen, 2006, July 27-August 2.**Relativized Degree Spectra**, CiE2006, Swansea, 2006, June 30-July 5.**Minimal Pairs and Quasi-Minimal degrees for Joint Spectra**, LC2005,, Athens, 2005, July 28-August 3.**Properties of the Joint Spectra of sequence of structures**, PLS5, Athens, 2005, July 25-28.**Minimal Pairs and Quasi-Minimal Degrees for the Joint Spectra of Structures**, CiE2005, Amsterdam, 2005, June 8-12.

Seminar talks

**Coding and decoding in classes of structures**, joint work with J. Knight and S. Vatev,

invited talk at the UW Logic Seminar, University of Wisconsin, Madison, 2020, February 4.**Strong Jump Inversion**, joint work with W. Calvert, A. Frolov, V. Harizanov, J. Knight, C. McCoy, and S. Vatev, invited talk at the Midwest Computability Seminar, University of Chicago, Chicago, 2018, October 9.**Strong Jump Inversion for abstract structures**, joint work with W. Calvert, A. Frolov, V. Harizanov, J. Knight, C. McCoy, and S. Vatev, invited talk at the Logic Seminar at Leeds University, Leeds 2018, August 29.**Properties of degree spectra, co-spectra and omega co-spectra**, invited talk at the Logic Seminar at Notre Dame University, South Bend, IN, 2018, May 1.**Structural properties of spectra and omega-spectra**, invited talk at the Logic Seminar at George Washington University, Washington, DC, 2018 March 22.**Cototal enumeration degrees**, invited talk at the Siena University Logic Seminar, Siena, 2017, June 28.**Enumeration Degree Spectra**, Southern Wisconsin Logic Seminar, University of Madison, Wisconsin, 2016, February 9.**The alpha-jump inversion theorem for spectra of structures**, Seminar Logic and Analysis, Ghent University, 2015, September 16.**Omega jump inversion for degree spectra of structures**, One of the last papers of Ivan Soskov, Computability Seminar, Siena University, 2015, June 19.**Joint Spectra and Relative Spectra of structures**, Notre Dame Logic Seminar, Notre Dame 2014, March 26.**A note of omega jump inversion for degree spectra of structures**, One of the last papers of Ivan Soskov, UC Berkley Recursion Theory Seminar, UC Berkley, 2013, September 16.**Enumeration Degree Spectra and Omega Degree Spectra of Abstract Structure**, with Ivan Soskov, Computability Seminar, Siena University, 2010, May 16.**Enumeration Degree Spectra of Abstract structures**, with Ivan Soskov, Leeds Computability Seminar, Leeds University, 2010, February 23.**A Jump Inversion Theorem for the Degree Spectra**, Research Institute for Symbolic Computations, Johannes Kepler University Linz, 2008, May 5.**Degree Spectra of Structures**, Leeds Logic Seminar 2006, Leeds, 2006, July 12.