László Székely



Education
C.Sc.  Mathematics  Hungarian Academy of Sciences  1987 
Ph.D.  Mathematics  Eötvös University, Budapest  1983 
M.S.  Mathematics  Eötvös University, Budapest  1980 
Experience
1996 – Present  Professor  Department of Mathematics, University of South Carolina 
2005 – 2007  Interim Director  Industrial Mathematics Institute, Univ. of South Carolina 
2002 – 2003  Visiting Fellow  National Center for Biotechnology Information, Bethesda MD 
1994 – 1996  Director  Institute of Mathematics I, Eötvös University, Budapest 
1992 – 1993  Visiting Assoc. Professor  University of New Mexico, Albuquerque 
1991 – 1996  Senior Associate Professor  Eötvös University, Budapest 
1991 – 1992  Alexander von Humboldt Fellow  Rheinische FriedrichWilhelms Universität, Institu für Ökonometrie und Operations Research, and Institut für Diskrete Mathematik, Bonn, Germany 
1990  Visitor  Memphis State University, TN 
1988 – 1990  Visiting Assoc. Professor  University of New Mexico, Albuquerque 
1986 – 1987  Postdoctoral Fellow  University of Auckland, New Zealand 
1984 – 1991  Associate Professor  Eötvös University, Budapest 
1982 – 1984  Research Fellow  József Attila University, Szeged 
Research
Research Interests
My primary research areas are combinatorics and graph theory, and their applications to geometry, computer science and biology. In particular:
 Combinatorial geometry: Erdos type problems in geometry, density of sets without certain distances, maximum number of unit distances or minimum number of distinct distances in finite point sets, SzemerediTrotter type theorems;
 Graph drawing: crossing numbers of graphs, applications of crossing numbers of graphs to discrete geometry, graph drawing algorithms on surfaces, books, etc., approximation algorithms for crossing number problems;
 Phylogeny reconstruction: stochastic models of the evolution of biomolecular sequences, identifiability conditions for reconstructible past, polynomial time algorithms for phylogeny reconstruction, the length of biomolecular sequences necessary for phylogeny reconstruction for all methods and for particular methods, FourierHadamard transform;
 Discrete probability: stochastic models for biomolecular sequence evolution, derandomization of randomized algorithms for graph drawing, Lovasz Local Lemma;
 Design and analysis of algorithms: algorithms for graph drawing, approximation algorithms for crossing number problems, algorithms for phylogeny reconstruction;
 Combinatorial optimization: the multiway cut problem, integral uniform multicommodity flow problem;
 Extremal problems (graphs and set systems): ErdosKoRado type theorems, Sperner and LYM type theorems, extremal graph theory
Current Projects
 NSF DMS 1600811 "Extremal and Probabilistic Combinatorics with applications II," (20162019) investigates basic extremal problems and properties random structures, in particular extremal set theory and use of the Lovasz Local Lemma, and applications of discrete mathematics to phylogenetics, networks, and other areas of sciences.
 NSF DMS 1743625 "NSFCBMS Conference on Additive Combinatorics from a Geometric Viewpoint", conference to be held on USC Columbia campus, May 2025, 2018.
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Teaching Activities
Current Courses
On sabbatical leave.
Previous Courses
 Math 122  Calculus for Business Administration and Social Sciences
 Math 141  Calculus I
 Math 142  Calculus II
 Math 241  Vector Calculus
 Math 374  Discrete Structures
 Math 570  Discrete Optimization
 Math 574  Discrete Mathematics I
 Math 774  Discrete Mathematics
 Math 775  Discrete Mathematics II
 Math 778B  Selected Topics: The Linear Algebra Method in Combinatorics
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Honors and Other Special Scientific Recognition
 "People’s Republic Scholar" 1978–79 and 1979–80
 "Alexander von Humboldt Fellow", 1991–92, 2010
 "Doctor of the Hungarian Academy of Sciences", 1998
 "Russell Research Award", University of South Carolina, 2007
 Elsevier "Top Cited Paper in Adv. Appl. Math. Award" 2010 (for the paper L. A. Szekely and Hua Wang, On subtrees of trees, Adv. Appl. Math. 34, (2005), 138155.)
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5 Selected Publications
 H. Aydinian, E. Czabarka, L. A. Szekely, Mixed orthogonal arrays, kdimensional Mpart Sperner multifamiles and full multitransversals, in: Information Theory, Combinatorics, and Search Theory (in Memory of Rudolph Ahlswede), eds. H. Aydinian, F. Cicalese, C. Deppe, Lecture Notes in Computer Science 7777, 2013, SpringerVerlag, 371401.
 M. A. Steel, L. A. Szekely, E. Mossel, Phylogenetic information complexity: is testing a tree easier than finding it? J. Theor. Biology 25(2009), 95102.
 P. L. Erdos, M. A. Steel, L. A. Szekely, and T. J. Warnow, A few logs suffice to build (almost) all trees I, Random Structures and Algorithms 14(1999)(2), 153184.
 L. A. Szekely, Crossing numbers and hard Erdos problems in discrete geometry, Combinatorics, Probability, and Computing 6(3)(1997), 353358.
 F. Shahrokhi, O. Sykora, L. A. Szekely and I. Vrto, The crossing number of a graph on a compact 2manifold, Adv. Math. 123, (1996), 105119.
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IMI Preprints and Seminars
Go to the list of 26 preprints and 8 seminars by László Székely.BACK TO TOP