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Ph.D. Thesis
SÁNDOR ZOLTÁN NÉMETH
CURRICULUM VITAE
Personal Data
- Name: Sándor Zoltán Németh
- Date of birth: 10 June 1968
- Place of birth: Cluj-Napoca, Romania
- Marital status: Married
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Mailing address:
School of Mathematics,
University of Birmingham,
Watson Building, Edgbaston, B15 2TT,
Birmingham, United Kingdom
- Phone: +44-121-414-6404
- Fax: +44-121-414-3389
- E-mail: s [dot] nemeth [at] mat [dot] bham [dot] ac [dot] uk
Education
- 1975–1983: Báthory István primary-school, Cluj-Napoca, Romania
- 1983–1987: Báthory István high-school, Cluj-Napoca, Romania
- 1988–1993: Mathematics student, Faculty of Mathematics and Computer-Science, Babes-Bolyai University, Cluj-Napoca, Romania
- July 1993: Graduation as chief of promotion (Equivalent to MSc in Mathematics)
- 1995–1998: Ph.D. student in Mathematics, Eötvös Loránd University, Budapest, Hungary
- May 1999: Defense of Ph.D. dissertation, qualification Summa Cum Laude in Mathematics
- Title of Ph.D. thesis: Geometric aspects of Minty-Browder monotonicity
Employment Record
- 1993–1995: Teaching Assistant, Chair of Geometry, Babeș–Bolyai University, Cluj-Napoca, Romania
- 1999–2005: Senior Researcher, Laboratory of Operations Research and Decision Systems, Hungarian Academy of Sciences
- 2001 autumn term: External Lecturer, School of Mechanical Engineering, University of Birmingham
- 2002–2003: Honorary Research Fellow, School of Computer Science, University of Birmingham
- From 1st September 2005: Lecturer; From 1st October 2013: Associate Professor, School of Mathematics, University of Birmingham
Scholarships and Awards
- 1989: 3rd prize at the university's Olympiad
- 1989: 2nd prize at the university's Scientific Student Conference
- 1992/93: Tempus scholarship, The University of Edinburgh, Scotland, U.K.
- 1995–1998: Scholarship of the Hungarian Ministry of Education
- 1998–2001: Bolyai János fellowship of the Hungarian Academy of Sciences
- 2000: Farkas Gyula prize for Applied Mathematics, Bolyai János Mathematical Society
Other achievements
- Associate Editor (Member of the Editorial Board) for the Journal of Optimization Theory and Applications
- Stream organizer for the Mathematical Programming Stream of the EURO XXI Conference, Reykjavík, Iceland, July 2–5, 2006
- Session Chair for the Complementarity Problems and Equilibrium Session, Mathematical Programming Stream, EURO XXI Conference, Reykjavík, 2006
- Invited talk, EURO XXI Conference, Reykjavík, 2006 (G. Isac and S. Z. Németh)
- Stream organizer, EURO XXII Conference, Prague, July 8–11, 2007
- Session Chair, Variational Inequalities and Complementarity Problems Session, EURO XXII Conference, Prague, 2007
- Invited talk, EURO XXII Conference, Prague, 2007 (G. Isac and S. Z. Németh)
- Stream organizer, EURO XXIV Conference, Lisbon, July 11–14, 2010
- Session Chair, Complementarity Problems, Variational Inequalities and Equilibrium Session, EURO XXIV Conference, Lisbon, 2010
- Invited talk, EURO XXIV Conference, Lisbon, 2010 (S. Z. Németh)
- Stream organizer, EURO XXV Conference, Vilnius, Lithuania, July 8–11, 2012
- Stream organizer, EURO XXVI Conference, Rome, Italy, July 1–4, 2013
- Session Chair for the Complementarity Problems and Variational Inequalities 1 Session, EURO XXVI Conference, Rome, 2013
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Invited talk for the EURO XXVI Conference, Rome, Italy, July 1–4, 2013
(S. Z. Németh: Extended Lattice Operations and Isotone Projection Sets,
Complementarity Problems and Variational Inequalities 1 Session,
Mathematical Programming Stream)
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Stream organizer for the Mathematical Programming Stream of the EURO XXVII
Conference, Glasgow, UK, July 12–15, 2015
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Session Chair for the Complementarity Problems, Variational Inequalities
and Equilibrium Session, Mathematical Programming Stream, EURO XXVII
Conference, Glasgow, UK, July 12–12, 2015
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Invited talk for the EURO XXVII Conference, Glasgow, UK, July 12–15, 2015
(S. Z. Németh: The extended Lorentz cone — a tool for solving equilibrium
problems, Complementarity Problems, Variational Inequalities and
Equilibrium Session, Mathematical Programming Stream)
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Stream organizer for the Mathematical Programming Stream of the EURO XXVIII
Conference, Poznań, Poland, July 3–6, 2016
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Session Chair for the Complementarity Problems, Variational Inequalities
and Equilibrium Session, Mathematical Programming Stream, EURO XXVIII
Conference, Poznań, Poland, July 3–6, 2016
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Invited talk for the EURO XXVIII Conference, Poznań, Poland, July 3–6, 2016
(S. Z. Németh: Pursuing cones, convex sets and mappings with good
order-preserving properties, Complementarity Problems, Feasibility and
Equilibrium Session, Nonlinear Programming Stream)
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Stream organizer for the “Nonlinear Programming: Theory” Stream of the EURO
XXIX Conference, Valencia, Spain, July 8–11, 2018
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Session Chair for the Convexity on Riemannian Manifolds, Feasibility and
Equilibrium Session, “Nonlinear Programming: Theory” Stream, EURO XXIX
Conference, Valencia, Spain, July 8–11, 2018
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Invited talk for the EURO XXIX Conference, Valencia, Spain, July 8–11, 2018
(S. Z. Németh: On the spherical convexity of quadratic functions, Convexity
on Riemannian Manifolds, Feasibility and Equilibrium Session, “Nonlinear
Programming: Theory” Stream)
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Stream organizer for the “Mathematical Programming” Stream of the EURO XXX
Conference, Dublin, Ireland, June 23–26, 2019
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Session Chair for the “Optimization and Equilibrium Problems on Riemannian
Manifolds” Session, “Mathematical Programming” Stream, EURO XXX Conference,
Dublin, Ireland, June 23–26, 2019
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Invited talk for the EURO XXX Conference, Dublin, Ireland, June 23–26, 2019
(S. Z. Németh:
On the spherical quasi-convexity of quadratic functions on spherical
self-dual convex sets
,
Optimization and Equilibrium Problems on Riemannian Manifolds Session,
Mathematical Programming Stream)
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Programme Committee member and organizer of two streams (“Complementarity
Problems, Variational Inequalities and Related Topics” & “Optimization on
Manifolds”) for the EUROpt 2023 Conference in Budapest, Hungary,
August 23–25, 2023
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Session Chair of the “Convexity on Manifolds and Metric Spaces” Session,
“Optimization on Manifolds” Stream, EUROpt 2023 Conference in Budapest,
Hungary, August 23–25, 2023
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Invited talk for the EUROpt 2023 Conference in Budapest, Hungary,
August 23–25, 2023 (S. Z. Németh: Convexity of non-homogeneous functions on
the hyperbolic space, “Convexity on Manifolds and Metric Spaces” Session,
“Optimization on Manifolds” Stream)
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Stream organizer for the “Optimization on Geodesic Metric Spaces: Smooth
and Nonsmooth” Stream of the EURO XXXIII Conference, Copenhagen, Denmark,
June 30 – July 3, 2024
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Session Chair for the “Optimization on Manifolds” Session, “Optimization on
Geodesic Metric Spaces: Smooth and Nonsmooth” Stream of the EURO XXXIII
Conference, Copenhagen, Denmark, June 30 – July 3, 2024
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Invited talk for the EURO XXXIII Conference in Copenhagen, Denmark,
June 30 – July 3, 2024 (S. Z. Németh: On projection mappings and the
gradient projection method on hyperbolic space forms, “Optimization on
Manifolds” Session, “Optimization on Geodesic Metric Spaces: Smooth and
Nonsmooth” Stream)
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November 10–18, 2007 and March 18–24, 2002: Research visit and invited talk
to the School of Mathematics and Computer Science, Royal Military College
of Canada, Kingston, Ontario
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December 6, 2007: Invited talk to the School of Computing and Mathematical
Sciences, University of Greenwich
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January 24, 2012: Invited talk to the School of Mathematics, Statistics and
Actuarial Science, University of Kent
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Refereeing papers for several international journals (Journal of
Optimization Theory and Applications, Journal of Global Optimization,
Journal of Mathematical Analysis and Applications, Acta Mathematica
Hungarica, Studia Sci. Math. Hungarica, etc.)
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Invited talk to the AMS Sectional Meeting, Special Session on Optimization
and Related Topics, University of Maryland, Baltimore MD, USA, March 29–30,
2014
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Invited talks to Federal University of Rio de Janeiro and Federal
University of Goiás, Brazil, August 2014
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Book reference for Springer (G. Isac: Leray–Schauder Type Alternatives,
Complementarity Problems and Variational Inequalities, 2006)
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Book reference for Elsevier (I. V. Konnov: Equilibrium Models and
Variational Inequalities, 2007)
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Book reference for Cambridge University Press (N. Boumal: An Introduction to Optimization on Smooth Manifolds, 2023)
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Several other contributed and invited talks at international conferences and
workshops
Teaching Experience
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1993/94–1994/95: Classes in Synthetic, Analytic, Projective and Differential
Geometry, Babes-Bolyai University, Cluj
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1997/98: Classes in Descriptive, Absolute and Convex Geometry, Eötvös
Loránd University, Budapest
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1999/00–2000/01: Classes in Multicriteria Decision Software, Budapest
University of Economic Sciences
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2001/02: Lectures in Intelligent Tools, School of Mechanical Engineering,
The University of Birmingham
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2005/06–2006/07: Lectures in Nonlinear Programming, School of Mathematics,
The University of Birmingham, U.K.
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2005/06–2007/08: Lectures in Operations Management, School of Mathematics,
The University of Birmingham, U.K.
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2005/06–2007/08: Joint Lectures in Impact of Mathematics (20%), School of
Mathematics, The University of Birmingham, U.K.
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2006/07: Joint Lectures in Research Frontiers in Management Mathematics
(50%), School of Mathematics, The University of Birmingham, U.K.
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2008/09: Research Frontiers in Management Mathematics, School of
Mathematics, The University of Birmingham, U.K.
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2006/07–2007/08, 2009/10, 2011/12–2025/26: Heuristic Optimisation, School of
Mathematics, The University of Birmingham, U.K.
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2007/08–2010/11, 2012/13–2025/26: Multicriteria Decision Making, School of
Mathematics, The University of Birmingham, U.K.
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2009/10–2011/12: Mathematical Finance, School of Mathematics, The
University of Birmingham, U.K.
Professional Experience
- Nonlinear Analysis (36 years)
- Differential Geometry (32 years)
- Optimisation (27 years)
- Multicriteria Decision Problems (27 years)
- Artificial Intelligence (25 years)
- Fluid Mechanics (1 year)
Participation in Projects
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The efficiency of the Tender for Developing the Economy (on behalf of the
Hungarian Ministry of Economic Affairs), November 1999
Publications
- 1 book
- 4 book chapters
- 79 articles in Optimisation, Nonlinear Analysis, Multicriteria Decision Problems, Differential Geometry, Linear Algebra, Artificial Intelligence, Fluid Mechanics, Elementary Geometry
- 74 journal articles
- 2 periodical articles
- 3 conference proceeding articles
Language Skills
- Hungarian (native or bilingual proficiency)
- Romanian (native or bilingual proficiency)
- English (full professional proficiency)
- Portuguese (professional proficiency)
- Spanish (limited working proficiency)
- Italian (limited working proficiency)
- French (elementary proficiency)
- Catalan (elementary proficiency)
Research Interests
OPTIMISATION ON RIEMANNIAN MANIFOLDS
- Generalised convexity and generalised monotonicity
- Optimisation and equilibrium problems
- Singularities of vector fields
- Algorithms
ORDERED VECTOR SPACES
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Projection onto cones and applications
(details).
Highly recommended PhD topic — see items 1, 5 and 7 on
this page.
Contact me if you wish to do a PhD.
Applications: regression, image reconstruction, pattern recognition, portfolio optimisation, quadratic programming, complementarity, non-negative solutions of linear systems etc.
- Latticially ordered Euclidean and Hilbert spaces
EQUILIBRIUM SYSTEMS
- Applications of nonlinear analysis, topological methods and ordered vector spaces to fixed point theorems, surjectivity theorems, nonlinear spectral theory, variational inequalities, nonlinear complementarity problems and integral equations
MULTICRITERIA DECISION PROBLEMS
- Stability of decision models
- global optimisation methods
- genetic programming methods
- Axiomatic foundation
ARTIFICIAL INTELLIGENCE
- Genetic programming
- diversity of genetic programs
- limitation of code growth
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Curriculum Vitae
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Ph.D. Thesis