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Dr.rer.nat.habil. Gohar Flad-Harutyunyan

Technische Universität München
Zentrum Mathematik - M7
Boltzmannstraße 3
85747 Garching

Raum: 03.08.021
Tel.: +49-89-289-17945
eMail: harutyunma.tum.de

Verheiratet mit Heinz-Jürgen Flad; Zwei Kinder: Manuel-Narek und Mariam (geb. 18.05.2012)

Research Interests

Theses

  • Boundary value problems on singular manifolds and on the complex plane, Habilitation (cumulative), FU Berlin, 2007
  • Uniform-tangential approximation by lacunary power series and quasypolynomials, Dissertation, YSU, 1996
  • An example of tangential meromorphic approximation, Diploma Thesis, YSU, 1990

Publications

Books
  • G. Harutyunyan, B.-W. Schulze, Elliptic Mixed, Transmission, and Singular Crack Problems. EMS Tracts in Mathematics Vol. 4, European Math. Soc. Publ. Hause Zürich, 2008, Book, 777 pages

Applications of singular analysis to quantum many-particle models in chemistry
  • H.-J. Flad, G. Flad-Harutyunyan, Singular Analysis of RPA diagrams in coupled Cluster theory (submitted)
  • H.-J. Flad, G. Flad-Harutyunyan, B.-W. Schulze, Ellipticity of the quantum mechanical Hamiltonians: Corner singularity of the helium atom (submitted)
  • H.-J. Flad, G. Flad-Harutyunyan, B.-W. Schulze, Explicit Green operators for quantum mechanical Hamiltonians. II. Edge type singularities of the helium atom (submitted)
  • H.-J. Flad, G. Harutyunyan, B.-W. Schulze, Asymptotic Parametrices of Elliptic Edge Operators. Journal of Pseudo-Differential Operators and Applications, Vol. 7, Issue 3 (2016), 321-363
  • H.-J. Flad, G. Harutyunyan, B.-W. Schulze, Singular analysis and coupled cluster theory. Phys. Chem. Chem. Phys., Vol. 17 (2015), 31530-31541
  • H.-J. Flad, G. Harutyunyan, Ellipticity of quantum mechanical Hamiltonians in the edge algebra. Discrete and continuous dynamical systems, Supplement 2011, 420-429
  • H.-J. Flad, G. Harutyunyan, R. Schneider, B.-W. Schulze, Explicit Green operators for quantum mechanical Hamiltonians, I. The hydrogen atom. Manuscripta Mathematica, Vol. 135, No 3-4, 2011, 497-519

Approximation on the complex plane
  • A. Danielyan, G. Harutyunyan, On a subclass of approximable functions on closed subsets, Computational Methods and Function Theory, Vol. 11, No 1, 2011, 123-133
  • G. Harutyunyan, On uniform tangential approximation by lacunary power series. In European Women in Mathematics: Proceedings of the 13th general Meeting, eds Hobbs, C. and Paycha, S., World Scientific Publishing Co., 2010, 131-142
  • G. Harutyunyan, Tangential approximation by meromorphic functions, General Mathematics. Vol. 13, No 3, 2005, 3-14
  • G. Harutyunyan, Quasypolynomials in a subspace of continuous functions, Izv. Nationalnoi Akademii Nauk Armenii. Matematika. (Russian). J. Contemp. Mathematical Analysis (English). Vol. 35, No 3, 2000, 21-32
  • G. Harutyunyan, On uniform approximation by quasipolynomials with coefficients from a given set. Dep. In Arm. NIINTI 3, 1995.
  • G. Harutyunyan, V. Martirosian, On uniform tangential approximation by lacunary power series on Carleman sets. Izv. Nationalnoi Akademii Nauk Armenii. Matematika. (Russian). J. Contemp. Mathematical Analysis (English). Vol. 30, No 4, 1995, 68-75
  • G. Harutyunyan, V. Martirosian, On uniform tangential approximation by lacunary power series on curves in the complex plane. Izv. Nationalnoi Akademii Nauk Armenii. Matematika. (Russian). J. Contemp. Mathematical Analysis (English). Vol. 28, No 3, 1993, 31-39

Operators on the complex plane
  • A. Harutyunyan, G. Harutyunyan, Holomorphic Besov Spaces in the Polydisc and Bounded Toeplitz Operators. Analysis 99, 2010, 1001-1017
  • H. Begehr, G. Harutyunyan, Neumann problem for the Beltrami operator and for some second order operators. Complex Variables and Elliptic Equations. Vol. 54, No 12, 2009, 1129-1150
  • G. Harutyunyan, Boundary value problems for Beltrami operator, Complex Variables. Vol. 52, No 6, 2007, 475-484
  • G. Harutyunyan, On the Bitsadze operator, Izv. Nationalnoi Akademii Nauk Armenii. Matematika. (Russian). J. Contemp. Mathematical Analysis (English). Vol. 41, No 4, 2006, 36-41
  • H. Begehr, G. Harutyunyan, Complex boundary value problems in a quarter plane. Complex Analysis and Applications; Proc. 13. Intern. Conf. Finite or Infinite Complex Analysis and Appl., Shantou, China, 2005. Eds. Y. Wang, S. Wu, H. Wulan, L. Yang. World Sci., New Jersey, 2006, 1-10
  • H. Begehr, G. Harutyunyan, Robin boundary value problem for the Poisson equation. Journal of Analysis and Applications. Vol. 4, No 3, 2006, 201-213
  • S.A. Abdumanaroy, H. Begehr, G. Harutyunyan, A.B. Tungatarov, Four boundary value problems for the Cauchy-Riemann equation in the quarter plane. Eurasian Math. J., No 2, 2005, 12-23. Proceedings of the 5th International ISAAC Congress, 1137-1147
  • H. Begehr, G. Harutyunyan, Robin boundary value problem for the Cauchy-Riemann operator. Complex Variables. Vol. 50, No 15, 2005, 1125-1136

Singular analysis
  • G. Harutyunyan, An example on asymptotic on manifolds with corners. Armen. J. Math. Vol. 3, No 1, 2010, 1-13
  • G. Harutyunyan, B.-W. Schulze, Boundary value problems in weighted edge spaces. Contemporary Mathematics. Vol. 455, 2008, 151-167
  • N. Dines, G. Harutyunyan, B.-W. Schulze, Mixed Boundary Value Problems and Parametrices in the Edge Calculus. Bulletin des Sciences Mathematiques. Vol. 131, No 4, 2007, 325-360
  • G. Harutyunyan, Conormal symbols of mixed elliptic problems with singular interfaces. Izv. Nationalnoi Akademii Nauk Armenii. Matematika (Russian). J. Contemp. Mathematical Analysis (English). Vol. 41, No 4, 2006, 42-60
  • G. Harutyunyan, B.-W. Schulze, Mixed Problems and Edge Calculus: Symbolic Structures. Rendiconti del Seminario Matematico dell' Universita'e del Politecnico di Torino. Vol. 64, No 2, 2006, 159-198
  • G. Harutyunyan, B.-W. Schulze, The Zaremba problem with Singular Interfaces as a Corner Boundary Value Problem. Potential Analysis. Vol. 25, No 4, 2006, 327-369
  • G. Harutyunyan, B.-W. Schulze, The relative Index for Corner Singularities. Integral Equations and Operator Theory. Vol. 54, No 3, 2006, 385-426
  • G. Harutyunyan, B.-W. Schulze, Boundary problems with meromorphic symbols in cylindrical domains. Mathematical Methods in the Applied Sciences. Vol. 28, Issue 15, 2005, 1829-1845
  • G. Harutyunyan, B.-W. Schulze, Parametrices of Mixed Elliptic Problems. Math. Nachr., Vol. 277, 2004, 56-82
  • G. Harutyunyan, B.-W. Schulze, Reduction of orders in Boundary Value Problems without the Transmission property. The Mathematical Society of Japan. Vol. 56, No 1, 2004, 65-68
  • G. Harutyunyan, B.-W. Schulze, An algebra of boundary symbols. Izv. Natinalnoi Akademii Nauk Armenii. Matematika (Russian). J. Contemp. Mathematical Analysis (English). Vol. 37, No 4, 2002, 15-30

Positions

  • 01.09.1993 - 31.07.2004: University Lecturer, YSU (Armenia)
  • 01.08.2004 - 31.01.2005: visiting scientist, University of Potsdam
  • 01.02.2005 - 31.12.2005: visiting scientist, FU Berlin
  • 01.04.2006 - 31.05.2011: Assistant Professor, CvO University of Oldenburg
  • 01.06.2011 - 31.05.5015: member of scientific staff, TU Belin ( May 2012 - May 2015 Mutterschutz bzw. Elternzeit)
  • 01.06.2015 - present: member of scientific staff, TU Munich

Grants

  • 01.10.1997-31.12.1998 DAAD (University of Potsdam)
  • 01.04.2001-30.06.2001 DFG (University of Potsdam)
  • 01.10.2001-30.09.2002 Stiftung des Abgeordnetenhauses von Berlin (FU Berlin)
  • 01.10.2002-31.12.2002 DFG (University of Potsdam)
  • 01.01.2006-31.03.2006 DFG (University of Potsdam)

Awards

  • Certificate for excellent teaching (CvO University of Oldenburg, faculty of informatics, SS 2007)
  • Shahinyan award for excellent performance in academic studies (YSU, for 4 Semesters)

Teaching

FU Berlin (2008-2012)
  • Proseminar/Seminar zur Analysis (WS 2011/2012)
  • Block-Seminar "Satz von Mergelyan" (SS 2010)
  • Block-Seminar "Gleichmässige-tangentielle Approximation im Komplexen" (WS 2008/2009)

Carl von Ossietzky Universität Oldenburg (April 2006-Mai 2011)

Vorlesungen und Übungen
  • Analysis (I-III)
  • Mathematik I (Analysis für Informatiker)
  • Funktionalanalysis
  • Partielle Differentialgleichungen
  • Differentialgeometrie

Seminare
  • Forschungsseminar "Approximationen im Komplexen"
  • Forschungsseminar "b-Calculus" (with D. Grieser)
  • Forschungsseminar "Differentialformen und der Satz von Stokes" (with D. Grieser)
  • Forschungsseminar "Pseudo-differential Calculus" (with D. Grieser)
  • Forschungsseminar "Randwertprobleme in der komplexen Ebene"
  • Forschungsseminar "Spektraltheorie unbeschränkter Operatoren" (with D. Grieser)
  • Forschungsseminar "Spektraltheorie des Laplace Operators" (with D. Grieser)
  • Proseminar "Analysis" (with D. Grieser)

Staatliche Universität Jerewan (September 1993 - Juli 2004)

Vorlesungen und Übungen
  • Analysis
  • Funktionalanalysis
  • Analytische Geometrie

Seminare
  • Approximationstheorie
  • Konvexe Analysis
  • Transformationsformel
  • Randwertprobleme

Leitung mehrerer Abschlussarbeiten