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Curriculum Vitae - Institute of Mathematics and Informatics Flipbook PDF

Curriculum Vitae Peter Dalakov Institute of Mathematics and Informaticswww.math.bas.bg/algebra/dalakov/ Bulgarian Academ

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Curriculum Vitae Peter Dalakov Institute of Mathematics and Informatics Bulgarian Academy of Sciences Acad. G.Bonchev Str., Block 8 Sofia 1113, Bulgaria

www.math.bas.bg/algebra/dalakov/ [email protected] [email protected]

Education PhD, Mathematics (May 2008)

MS, Nuclear & Particle Physics (July 2000)

University of Pennsylvania Philadelphia, PA Adviser: Prof.Tony Pantev Sofia University, Sofia, Bulgaria Adviser: Prof.Stefan Ivanov

Employment Research Associate

Postdoc/Research Associate Adjunct Assistant Professor Research Associate/researcher

Visiting Assistant Professor

Teaching Assistant

Researcher

Algebra & Logic Sector Institute of Mathematics & Informatics, BAS April 1, 2012 – present (on leave 2013) SISSA, Trieste, Italy December 2012 – December 2013 American University in Bulgaria, Fall 2012 Mathematical & Theoretical Physics Sector INRNE, BAS January 18, 2012 – March 31, 2012 September 05, 2011 – January 17, 2012 Department of Mathematics & Statistics, UMass–Amherst, Amherst, MA August 31,2008 – August 31, 2011. Department of Mathematics, University of Pennsylvania, Philadelphia, PA August 2002 – May 2008 Mathematical & Theoretical Physics Sector, INRNE, BAS 10.2001 – 06.2002, 09.2000 – 12.2000

Publications, Theses and Preprints •“Donagi–Markman cubic for the generalised Hitchin system”, U.Bruzzo, P.Dalakov, Int. J. Math, Volume 25, Number 2 (2014). (also appears as arXiv 1308.6788) • “On the L-infinity description of the Hitchin map”, Rend. Ist. Mat. Trieste, vol.46 (2014), p.1-17 (also appears as arXiv 1007.5309) • “A universal family of deformations for the uniformising Higgs bundle”, arXiv 1111.6457 •“Monodromy deformation of opers”, in preparation • “Higgs Bundles and Opers”, PhD Thesis, 2008 ProQuest AAI 3309421. • “Harmonic spinors of the Dirac operator of connection with torsion in dimension four”, P.Dalakov, S.Ivanov, Class. Quant. Grav. 18 (2001), pp.253-263. • “Eigenvalue Estimates for the Dirac Operator of Connections with Torsion”, MSc Thesis, Sofia University, 2000 (in Bulgarian).

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Service Organised Reading Seminar in Algebraic Geometry (IMI-BAS) with H.Iliev UMass Mathematical Physics Seminar Supervised Graduate Independent Study: Moment maps & Toric Varieties Independent Study: Mechanics on Coadjoint Orbits Independent Study: Algebraic Topology Served as Scientific secretary of the Algebra & Logic Sector, IMI-BAS

Fall ’12 Fall ’10 Spring ’11 Fall ’10, Spring ’11 Spring ’10 Sep–Dec ’12

Teaching Experience American University in Bulgaria, 2012 Introduction to Calculus

1 semester

UMass – Amherst, 2008 – 2011 Differential Geometry Multivariable Calculus Honours Multivariable Calculus Linear Algebra Undergraduate Complex Analysis

1 semester 3 semesters 2 semesters 3 semesters 1 semester

University of Pennsylvania, 2002 – 2008 Instructor for Calculus III Summer ’04 Instructor for Calculus IV Summer ’05, ’06, ’07 Teaching Assistant for Abstract Algebra 1 semester Teaching Assistant for Advanced Calculus 1 semester Teaching Assistant for Calculus III 6 semseters Teaching Assistant for Calculus I,II 3 semesters Grader : Geometry–Topology, Graduate Complex Analysis 1 semester Tutoring Center or Sunday Night Reviews 6 semesters As an instructor, I have been entirely responsible for the courses in question: preparing lectures, assignments, exams or projects and assigning grades. As a teaching assistant, I have been responsible for grading assignments, preparing recitations and quizzes, proctoring and grading exams.

Pedagogical Training Teaching Certificate Program: Center for Teaching and Learning, University of Pennsylvania, 2007 – 2008. Certificate in college teaching. TA training program: Department of Mathematics, University of Pennsylvania, August 2002 ITA training program: School of Arts and Sciences, University of Pennsylvania, June – August 2002

Grants, Fellowships and Awards • • • •

CERES–CEI Research Fellowship (FP 7, M.Curie Actions), 2012–2013 Research and Educational Support Fund Grant, UMass–Amherst, 2010 Stipend by the “Eureka” foundation for youth creativity 1994 – 1999 National Students’ Physics conference (Bulgaria), 1994 – first place

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Professional Memberships AMS: 2002 – present MAA: 2005 – 2012

Selected Talks • Special K¨ ahler geometry on the Hitchin base and Langlands duality, Higher structures in algebraic analysis, Padova, Italy, February 2014 • Donagi–Markman cubic for the generalised Hitchin system, VBAC conference, Trieste, Italy, June 2013 • Monodromy Deformations of opers, SWAGP 2013, Guanajuato, Mexico, January 2013 • K¨ ahler Quantisation and Hitchin’s Connection Lecture Course (20 talks), INRNE, Sofia, Bulgaria, February – July 2012 • A brief overview of non-abelian Hodge theory, IMI, BAS, Sofia, Bulgaria, January 2012 • Hitchin’s Equations and Moduli spaces of Higgs bundles 6 talks, INRNE, Sofia, Bulgaria, October-November 2011 • Deformations of the Hitchin section and DGLAs, ICTP, Trieste, Italy, July 2010 • Deformations of the uniformising Higgs bundle, ICMS, Edinburgh UK, June 2010 • Remarks on the deformation theory of certain systems of Hodge bundles, Valley Geometry seminar, Umass-Amherst, April 2010 • The Moduli Space of Special Lagrangian Submanifolds of a Calabi-Yau manifold, 3 talks, Mirror Symmetry Seminar, Umass-Amherst, October 2009 • Non-Abelian Hodge Theory and the Kapustin–Witten approach to Geometric Langlands, Math-Physics Seminar, INRNE, June 2009 • An introduction to moment maps and reduction, Reading Seminar in Algebraic Geometry, Umass–Amherst, February 2009 • Non-Abelian Hodge Theory, Opers and the Hitchin Section, 2 talks, Valley Geometry Seminar, UMass–Amherst, September 2008 • Kuranishi Spaces for Analytic DGLA’s, 2 talks, Deformation theory seminar, UMass– Amherst, September 2008 • A Short Walk in Non-Abelian Hodge Theory and the Kapustin–Witten Approach to Geometric Langlands, 4 talks, Sofia University, August 2008 • Higgs Bundles and Opers, Geometry Seminar, Boston University, February 2008 • Special K¨ ahler Geometry, student seminar on Mirror Symmetry, UPenn, December 2007 • Weight Systems and Matrix Factorisations, pre-colloquium talk, UPenn, January 2007 • Higgs Bundles and Opers, Conference on Vector Bundles and Moduli Spaces, Guanajuato, Mexico, December 2006 • Hermite-Einstein connections and stability, 3 talks, Stability Seminar, UPenn, June 2006 • Some Aspects of Non-Abelian Hodge Theory, GAeL XIV, Bedlewo, Poland, March 2006 • GIT Basics, 3 talks, Stability Seminar, UPenn, December 2005 • Mutations and Helices, Algebraic Geometry Bootcamp, Seattle, July 2005 • Monodromy of Variations of Hodge Structures, 3 talks, Student Algebra Seminar, UPenn, April 2005 • On the space of paths on a smooth manifold, variation formulas and Jacobi fields, Morse Theory Seminar, UPenn, July 2003

Conferences and Schools • Winter School & Workshop on Higher Structures in Algebraic Analysis, UNIPD, Padova, Italy, February 2014 • School on Moduli Spaces in Algebraic Geometry and Physics, U. Hamburg, Germany, August 2013

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• School & Workshop on Algebraic Geometry and Physics, CIMAT, Guanajuato, Mexico, January 2013 • Geometric Structures in Mathematical Physics, Golden Sands, Bulgaria, September 2011 • String-Math Conference, University of Pennsylvania, Philadelphia, June 2011 • Conference on Moduli Spaces and Moduli Stacks, Columbia U., NY, May 2011 • MIT Talbot Workshop on Non-Abelian Hodge Theory, Draper, Utah, May 2011 • Summer school and conference on Hodge theory and related topics, ICTP, Trieste, Italy, July 2010 • Hodge-theoretic reflections on the string landscape (workshop), Edinburgh, UK, ICMS, June 2010 • Algebraic Geometry, North-Eastern Series workshops: SUNY-SB, October 2009; UMassAmherst, April 2010; UConn, September 2010; MIT, April 2011 • Workshop on Modern Moduli Theory, MSRI, February 2009 • Conference on Algebro-Geometric Derived Categories and Applications, IAS, Princeton, March 2008 • Workshop on Gauge Theory and Representation Theory, IAS, Princeton, November 2007 • Workshop on Homological Mirror Symmetry and Applications II, IAS, Princeton, March 2007 • Workshop on Homological Mirror Symmetry and Applications I, IAS, Princeton, January 2007 • Conference on Moduli Spaces and Vector Bundles (P.Newstead’s 65), Guanajuato, Mexico, December 2006 • School on Vector Bundles, Gunajuato, Mexico, November 2006 • GAeL XIV, Bedlewo, Poland, March 2006 • Workshop on Algebraic Geometry and Physics, University of Pennsylvania, November 2005 • AMS Summer Research Institute in Algebraic Geometry, Seattle, August 2005 • Algebraic Geometry Bootcamp, Derived Categories Group, Seattle, July 2005 • Summer School in Noncommutative Geometry, ICTP, Trieste, Italy, August 2004 • Summer School in Particle Physics, ICTP, Trieste, Italy, June 1999

Personal Name: Dalakov, Peter Gueorgiev Nationality: Bulgarian Date of birth: 29 July 1975 Languages: English, Russian (fluent), Italian (basic)

References • Tony Pantev, University of Pennsylvania, email: [email protected] • Ugo Bruzzo, SISSA, email: [email protected] • Ron Donagi, University of Pennsylvania, email: [email protected] • Gueo Grantcharov, Florida International University, email: [email protected] • Eyal Markman, University of Massachusetts-Amherst, email: [email protected] • Antonella Grassi, University of Pennsylvania, email: [email protected] (teaching) • Farshid Hajir, University of Massachusetts-Amherst, email: [email protected] (teaching)