Curriculum Vitae
Henrik Shahgholian
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Name
Address (home)
Address (office)
Phone
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E-mail
Website
Date/place of birth
Nationality
Civil status
Spoken Languages
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Henrik
Shahgholian
Sörgårdsvägen 60, 163 52 Spånga, Stockholm
Math. Dept., The Royal Inst. of Technology,
100 44, Stockholm, Sweden
46-8-58176837 (home) 46-8-7906754 (office) 46-736500209
(cell)
46-8-7231788
henriksh@math.kth.se
http://www.math.kth.se/~henriksh
Dec. 16, 1960,
Tehran
Swedish, former Iranian.
Married, two children (born 85, 89)
Swedish, English, Armenian, Persian
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Academic History
Positions
v
Jan 2001-current
Full Professor at The Royal
Institute of Technology, Stockholm,
Sweden,
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1998-2001
Associate Professor, The Royal Institute
of Technology, Stockholm, Sweden
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1991-1998
Lecturer, The Royal Institute
of Technology, Stockholm, Sweden
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1987-1991
Doctoral student at The Royal
Institute of Technology, Stockholm,
Sweden
Supervisor: H. S. Shapiro,
Research
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Free boundary problems (Regularity theory,
Convexity), partial diff. eq., potential theory,
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Recent interests: Numerical PDE in FBP, Applied
and industrial FBP, Mathematical Finance, Homogenization, Stochastic partial
differential equations.
Publications
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Total of 60 publications
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Planned book with N. Uraltseva and A. Petrosyan (Regularity
of Free Boundaries)
Commissions:
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Local representative for Swedish Math. Society
at KTH 1992{2000.
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SEFI math working group at KTH 1993-1999.
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Thesis Committee: Sara Maad (Uppsala), Erik Ekström (Uppsala), Peter
Rand (Linköping), Per-Olov Åsen (KTH)
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Assoc. Editor: Bulletin of the Iranian Mathematical Society, 2001-2007,
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Iranian International Journal of Science,
Complex variables and elliptic equations,
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Review: AMS Review, Featured Review for AMS,
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Referee: Indiana
Univ., J.; Arkiv Mat., Acta Math.; SIAM J., The
Royal Soc.,
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J.
Convex Anal., Bul. Iranian Math. Soc., Jour. Diff. Eq., J. Anal. App.,
EJDE, Adv. Math., AJM, Free boundary and interfaces,
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Responsible for the Mathematics grant at STIN (The
Swedish Foundation for International Corporation in Research and Higher
Education).
Grants and Budgets
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STINT grant for collaboration with UT, Austin, Univ.
of Chicago, Purdue,
2004-2008
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ESF grant for scientific exchange 2004-2008
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Swedish Research Council 2006-2009,
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The Royal
Swedish Academy
of Sciences for collaboration with Armenia
and St. Petersburg
university 2007, several years in raw
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Göran Gustafsson Foundation’s grant, several years in raw
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Carl-Trygger Foundations grant 98, 99.
Organizational
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Member of the scientific committee for Nonlinear
Potential theory and PDE, program at Mittag-Leffer Inst. 1999-2000,
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Chair of the PESC-program GLOBAL (2004-2009) for
the European Science Foundation,
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Scientific leader of a thematic program Nonlinear Analysis at Wolfgang Pauli
Inst, Vienna,
Year 2005,
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Scientific leader of a thematic program
Random Phenomena in Partial
Differential Equations at Wolfgang Pauli Inst, Vienna, Year 2007
Teaching
Undergraduate
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Conference attendance at Chalmers Feb. 1991,
Chicago Oct.1992, Eindhoven April 1993, Prague July 95, Bratislava
June 97.
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Compendium: in Linear Algebra (with K.
Johansson).
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Reports: 3 reports (Swedish) about computer as a
tool in teaching mathematics
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Computer-courses: 40-h (fall-92) Maple in
Calculus, several computer labs
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Interactive teaching: Calculus for students at
IT univ., specially designed course for students, using computer technology
(2001-2002).
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Master projects: several master projects in
Mathematics and applications
Graduate
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Courses: Numerical PDE, Nonlinear PDE,
Mathematical physics, Industrial mathematics, A PDE approach to Mathematical
Finance, Crash course in Analysis, Free boundary problems.
Presentations
Invited addresses
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Sofia,
Oct. 90: Inverse problems in potential theory,
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Pont a Mousson (France), June 91: Elliptic and
parabolic problems,
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Lisbon,
Sept. 91: Mathematical topics in °uid mechanics,
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Toledo, June 93:
Free boundary problems, Capri, Sept. 94:
Elliptic
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and parabolic PDE; Zakopane (Polen) June 95:
Free boundary problems,
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FBP 2000 in St. Etian (France), 3d
ECM, Barcelona 2000.
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Berlin:
August 2001.
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Spanish American meeting, 2003
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Symposium on Analysis and PDEs, Purdue University,
June 7-10, 2004
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Regularity and singularities in shape
optimization and free boundaries, Oct. 21-23, 2004.
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ICIAM07: mini symposium on free boundaries.
Seminar talks
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Fall 92, University of Michigan; Spring 92, & Spring 94,
University
v
of Uppsala;
Summer 94, Sharif Univ. Tehran; Summer 95, Summer school
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in quasi-conformal mappings, France; Summer
95, FBP'95 in Zakopane,
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Spring 98, UT Austin, Spring 99 UCSB, 3-d
European meeting 2000,
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Workshop: FBP 2000, France September 2000, Umeºa Nov. 2000,
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MIT, UT Austin, and USC Dec.
2000, Tokyo
Feb. 2001, and 2002,
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Jyväskylä Feb. 2001, UCSB, UCSD Jan. 2002, Vienna (May 2002),
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Yerevan (Sept.
2002), Cologne
(Jan 2003), Lisabon (Jan. 2003)
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Technical
Univ. of Iran
Feb. 2004, Vienna
(Pauli Inst.) March 2004,
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Wichita State
Univ. March 2004; Vienna,
WPI: Oct. 2004,
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Max Planck Inst., May 2005.
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Univ.
of Chicago: Nov. 2005,
October 2007,
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Purdue Univ. Oct 2007.
Seminar arrangements
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Potential Analysis seminar 1989-2002,
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Analysis and its applications 2003-2006
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PDE seminars (once a month) joint with SU, 2006-
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PDF (Finance seminars) seminars (joint with Uppsala University) 2006-
Conference/workshop arrangements
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One-day conference in honor of H.S. Shapiro May
14, 1993
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Workshop on irregular free boundaries, Stockholm 23-26 May 1996
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Workshop on regularity of free boundaries, Stockholm Feb. 2000
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Workshop in Nonlinear Analysis (May 2002, Schrödinger
Inst.),
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Nonlinear PDE (Jan 2003, Lisabon),
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Geometric aspects in PDE (June 2003 in Stockholm),
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Mathematics in Armenia
(Sept. 2003, Yerevan).
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Geometric and Global Properties in PDE with
applications, Stockholm,
June 2003
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Global and Geometric Aspects in Nonl. PDE, Armenia,
October 6-12, 2004
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International Workshop on Nonlinear PDE, IPM,
Teheran, Dec. 5-16, 2004
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Classics in PDE, Stockholm, June 2005
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PDE and Mathematical Finance, Stockholm, August 2005
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Rolf Schock Prize meeting, Stockholm October 2005
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Session organizer in FBP05, Coimbra, Portugal,
March 13, 2006. KTH Stockholm.
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Potential
Theory and Applications, A conference in honor of Björn Gustafsson's 60th birthday. October 15-17 2007. KTH, Stockholm.
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2nd workshop on PDE and Finance , August 20-23,
2007 KTH, Stockholm
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Workshop on PDE & Biology , July 9-11, 2007
KTH, Stockholm.
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Free Boundary Problems, Theory and Applications , June 13-20
2008, KTH, Stockholm.
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Summer
School: Nonlinear analysis and Geometric PDE, Armenia, June 15-26, 2008
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Nordic-Russian Symposium in Honor of Vladimir
Maz’ya, 25--27 August 2008
Visiting Positions
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IPM research center, Tehran, July-Aug, 94;
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Univ.
of Franche-Comte, Besancon, France,
June 95;
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IPM research center, Feb.-May , 1996
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Univ.
of Texas at Austin, Jan-May
1998,
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Univ of Tehran,
July-August 98,
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Univ.
of California Santa Barbara, Spring 99.
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Univ. of Nancy Inst. Henri Poincare July 2000
Doctoral Students
Current
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T. Arnarson (started Sept. 2003)
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Erik Lindgren (started July 2004)
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Farid Bozorgnia (started Sept. 2004)
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Anders Edquist (started January 2005)
Previous
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F. Bahrami (Univ. of Tehran, finished 1998 as
second adviser)
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H.
Hosseinzadeh (Kerman Univ. finished 1998)
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Petrosyan (fnished 2000, Royal Inst. of Techn. )
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N. Matevosyan (finished 2003, Royal Inst. of
Techn. )
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Karakhanyan (finished 2004, Royal Inst. of
Technology)
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J. Andersson (finished 2005, Royal Inst. of
Technology)
Selected publications
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Existence and geometric properties of solutions
of a free boundary problem in potential theory, joint work with B. Gustafsson, J.
Reine Angew. Math. 473 (1996), 137-179.
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Existence of classical solutions to a free
boundary problem for the p-Laplace operator: the exterior convex case. Joint
with A. Henrot J. Reine Angew. Math. 521 (2000), 85-97
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Regularity of a free boundary for viscosity
solutions of nonlinear elliptic equations. Joint with K. Lee Comm. on Pure and
Applied Mathematics, Vol. LIV, 0001-0014 (2001).
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Regularity properties of a free boundary near
contact points with the fixed boundary, Joint with N. Uraltseva, Duke Math. J.
116 (2003), no. 1, 1-34 24)
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Regularity of a free boundary in potential
theory, Joint with L. Caffarelli and L. Karp, Annals of Math. (2) 151 (2000),
no. 1, 269-292.
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The one-phase free boundary problem for the
p-Laplacian with non-constant Bernoulli boundary condition, joint with A.
Henrot. Trans. Amer. Math. Soc. 354 (2002), no. 6, 2399-2416.
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C1,1-regularity in semilinear elliptic problems,
Comm. Pure Appl. Math. 56 (2003), no. 2, 278-281.
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Regularity of the free boundary arising in
superconductivity, (joint with L. Caffarelli, and J. Salazar). Arch. Ration.
Mech. Anal. 171 (2004), no. 1, 115-128.
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Regularity of a free boundary in parabolic
potential theory, (Joint with L. Caffarelli, A. Petrosyan). Jour. Amer. Math.
Soc.17 (2004), no. 4, 827-869)
v
The Two-Phase Membrane Problem -an
Intersection-Comparison Approach to the Regularity at Branch Points, Joint with
G.S. Weiss, Adv. Math. 205 (2006),
no. 2, 487—503.
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Geometric and energetic criteria for the free
boundary regularity in an obstacle-type problem, Joint with A. Petrosyan,
American Journal of Mathematics, in Press
v
The two-phase membrane problem- regularity of
the free boundary in higher dimensions, Joint with N. Uraltseva and G.S. Weiss,
Int. Math.
Res. Not. IMRN
2007, no. 8
SEFI = Societe Europeenne Pour la Formation Des Ingenieurs
KTH = Kungliga Tekniska Högskolan (Royal Inst. of Technology)
