CURRICULUM VITAE ANARGYROS KATSAMPEKIS

Size: px

Start display at page:

Download "CURRICULUM VITAE ANARGYROS KATSAMPEKIS"

Buck Gregory
5 years ago
Views:

1 CURRICULUM VITAE ANARGYROS KATSAMPEKIS PERSONAL INFORMATION 1. Date of birth: February 25, Citizenship: Greek 3. address: 4. Personal page: EDUCATION 1999, July: B.Sc. in Mathematics, University of Ioannina, Greece. 2001, November: M.Sc. in Mathematics, University of Ioannina, Greece. Dissertation: Theory and Applications of Gröbner Bases. Advisor: Professor Apostolos Thoma. 2006, March: Ph.D. in Mathematics, University of Ioannina, Greece. Thesis: Arithmetical rank and toric varieties. Advisor: Professor Apostolos Thoma. EMPLOYMENT : Visiting Lecturer, Department of Mathematics and Statistics of the University of Cyprus : Temporary Lecturer, Department of Mathematics of the University of the Aegean. Fall 2009: Temporary Lecturer, Department of Mathematics of the University of the Aegean. Spring 2010: Temporary Lecturer, Department of Mathematics of the Aristotle University of Thessaloniki. October-December 2010: Invited Professor, Department of Mathematics of the University of Extremadura (Badajoz, Spain). Invitation from the research team GADAC (Differential Algebraic Geometry. Computational Algebra). Fall 2011: Temporary Lecturer, Department of Regional Economic Development of the University of Central Greece. 01/10/ /09/2013: ERCIM/Marie Curie Post-Doctoral Fellow at Centrum Wiskunde and Informatica (CWI), Amsterdam (Holland). Research group: Networks and Optimization. Scientific coordinator: Monique Laurent. RESEARCH INTERESTS Commutative Algebra. Algebraic Geometry. 1

2 Computational Algebra. Algebraic Combinatorics. Graph Theory. PUBLICATIONS 1. A. Katsabekis (Katsampekis) and A. Thoma. Toric Sets and Orbits on Toric Varieties, Journal of Pure and Applied Algebra 181 (2003), A. Katsabekis (Katsampekis). Projections of cones and the arithmetical rank of toric varieties, Journal of Pure and Applied Algebra 199 (2005), A. Katsabekis (Katsampekis), M. Morales and A. Thoma. Stanley-Reisner rings and the radicals of lattice ideals, Journal of Pure and Applied Algebra 204 (2006), A. Katsabekis (Katsampekis) and A. Thoma. Matchings in simplicial complexes, circuits and toric varieties, Journal of Combinatorial Theory, Series A, 114 (2007) A. Katsabekis (Katsampekis) and A. Thoma. Parametrizations of toric varieties over any field, Journal of Algebra 308 (2007), H. Charalambous, A. Katsabekis (Katsampekis) and A. Thoma. Minimal systems of binomial generators and the indispensable complex of a toric ideal, Proceedings of the American Mathematical Society 135 (2007), A. Katsabekis (Katsampekis) and A. Thoma. Specializations of multigradings and the arithmetical rank of lattice ideals, Communications in Algebra 38 (2010), A. Katsabekis (Katsampekis). Arithmetical rank of toric ideals associated to graphs, Proceedings of the American Mathematical Society 138 (2010), A. Katsabekis (Katsampekis), M. Morales and A. Thoma. Binomial generation of the radical of a lattice ideal, Journal of Algebra 324 (2010), A. Katsabekis (Katsampekis) and I. Ojeda. An indispensable classification of monomial curves in A 4 (K), submitted, arxiv: A. Katsabekis (Katsampekis). On the binomial arithmetical rank of lattice ideals, submitted, arxiv: A. Katsabekis (Katsampekis). A note on ideals generated by diagonal 2-minors, submitted. CITATIONS Article 1 1. E. Reyes. Toric ideals and affine varieties, blowup algebras and combinatorial optimization problems, Ph.D. Thesis, Cinvestav-IPN, M. Sahin. Complete intersection monomial curves and non-decreasing Hilbert functions, Ph.D. Thesis, Bilkent University, 2008, available at 3. D. Cox, J. Little and H. Schenck. Toric Varieties, Volume 124 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, S. Lin and B. Sturmfels. Polynomial relations among principal minors of a 4 4-matrix, Journal of Algebra 322 (2009),

3 5. M. Sahin. Hilbert basis of the Lipman semigroup, C. R. Acad. Sci. Paris, Ser. I 348 (2010), J. Rauh, T. Kahle and N. Ay. Support sets in exponential families and oriented matroid theory, International Journal of Approximate Reasoning 52 (2011), I. Bermejo and I. García-Marco. Complete intersections in simplicial toric varieties, arxiv: Article 2 8. M. Barile. Almost set-theoretic complete intersections in characteristic zero, Collectanea Mathematica 58 (2007), M. Barile. On toric varieties which are almost set-theoretic complete intersections, Journal of Pure and Applied Algebra 207 (2006), M. Barile. Certain minimal varieties are set-theoretic complete intersections, Communications in Algebra 35 (2007), M. Barile. On a special class of simplicial toric varieties, Journal of Algebra 308 (2007), M. Barile. On binomial set-theoretic complete intersections in characteristic p, Revista Matemática Complutense 21 (2008), K. Eto. Set theoretic complete intersection lattice ideals in monoid rings, Journal of Algebra 299 (2006), K. Eto. The monomial curves associated with balanced semigroups are set-theoretic complete intersections, Journal of Algebra 319 (2008), M. Sahin. Producing complete intersection monomial curves in N-space, Proceedings of the American Mathematical Society 137 (2009), M. Sahin. Complete intersection monomial curves and non-decreasing Hilbert functions, Ph.D. Thesis, Bilkent University, M. Hamm. Die verselle Deformation zyklischer Quotientensingularitäten: Gleichungen und torische Struktur, Dissertation zur Erlangung des Doctorgrades, Hamburg 2008, available at M. Sahin. On Symmetric Monomial curves in P 3, Turkish J. Math. 32 (2008), K. Eto. Almost complete intersection lattice ideals, Report of Researches Nippon Institute of Technology 35 (2005), Article M. Barile. On a special class of simplicial toric varieties, Journal of Algebra 308 (2007), Article M. Sahin. Complete intersection monomial curves and non-decreasing Hilbert functions, Ph.D. Thesis, Bilkent University,

4 22. R. Villarreal. Combinatorial Optimization Methods in Commutative Algebra, available at C. Renteria, A. Simis and R. Villarreal. Algebraic methods for parameterized codes, Finite Fields and Their Applications 17 (2011), J. Rauh, T. Kahle and N. Ay. Support sets in exponential families and oriented matroid theory, International Journal of Approximate Reasoning 52 (2011), B. Sturmfels and V. Welker. Commutative Algebra of Statistical Ranking, Journal of Algebra 361 (2012), J. Rauh. Finding the maximizers of the information divergence from an exponential family, Ph.D. dissertation, Universität Leipzig, 2011, available at Article C. Tatakis. Toric ideals and Graph Theory in Combinatorial Commutative Algebra, Ph.D. Thesis, Ioannina I. Ojeda and A. Vigneron-Tenorio. Indispensable binomials in semigroup ideals, Proc. Amer. Math. Soc. 22 (2010), no. 3, I. Ojeda and A. Vigneron-Tenorio. Simplicial complexes and minimal free resolution of monomial algebras, Journal of Pure and Applied Algebra 214 (2010), P. A. García-Sánchez and I. Ojeda. Uniquely presented finitely generated commutative monoids, Pacific J. Math. 248 (2010), no. 1, I. Ojeda. Indispensable binomials in semigroup ideals, A talk in the Iberian meeting on numerical semigroups, Granada 2010, available at imns2010/slides/ojeda.pdf 32. A. Takemura. Minimality Properties of Markov Bases and Normality of Semigroups, A talk in the Algebraic Statistical Models Workshop, SAMSI North Carolina, available at G. Kaya, P. Mete and M. Sahin. Toric ideals of simple surface singularities, Preprint J. I. García-García, M. A. Moreno-Frias and A. Vigneron-Tenorio. On the decomposable semigroups and their applications in Algebraic Statistics, Journal of Symbolic Computation (to appear), arxiv: E. Gross and S. Petrovic. A combinatorial degree bound for toric ideals of hypergraphs, arxiv: S. Aoki, H. Hara and A. Takemura. Markov Bases in Algebraic Statistics, Springer Series in Statistics, Volume 199, Article P.A. García Sánchez, I. Ojeda and J.C. Rosales. Affine semigroups having a unique Betti element, Journal of Algebra and its Applications 12 (2013), no. 3, , 11 pp. Article E. Reyes, C. Tatakis and A. Thoma. Minimal generators of toric ideals of graphs, Advances in Applied Mathematics 48 (2012),

5 39. P.A. García Sánchez, I. Ojeda and J.C. Rosales. Affine semigroups having a unique Betti element, Journal of Algebra and its Applications 12 (2013), no. 3, , 11 pp. 40. I. Gitler, E. Reyes and J. A. Vega. Complete Intersection Toric Ideals of Oriented Graphs and Chorded-Theta Subgraphs, Journal of Algebraic Combinatorics (to appear), arxiv: Article H. Lopez and R. Villarreal. Complete intersections in binomial and lattice ideals, arxiv: I. Bermejo, I. García-Marco and E. Reyes. Complete intersection graphs, arxiv: Article L. O Carroll and F. Planas-Vilanova. The primary components of positive critical binomial ideals, Journal of Algebra 373 (2013), TEACHING EXPERIENCE Spring 2004: Linear Algebra II (teaching assistant). Fall 2004: Linear Algebra I (teaching assistant). Fall 2004: Algebraic Structures I (teaching assistant). Spring 2005: Gröbner Bases (teaching assistant). Fall 2007: Introductory Mathematics I. Spring 2008: Linear Algebra I. Fall 2008: Linear Algebra and Analytic Geometry. Spring 2009: Galois Theory Spring 2009: Cryptography. Fall 2009: Sets and numbers. Spring 2010: General Mathematics II. Fall 2011: Mathematics I. E-NOTES (in GREEK) Mathematics I, available at id=230 PROFESSIONAL SERVICE Reviewer for Math. Reviews. Reviewer for Zentralblatt MATH. I have written more than 40 reviews. Reviewer for 1 proposal submitted to the Portuguese Foundation for Science and Technology (FCT). Referee for the journal Discrete Mathematics (2013). 5

6 SCHOLARSHIPS Undergraduate scholarship of the National Scholarship Foundation of Greece (1998). Graduate scholarship of the National Scholarship Foundation of Greece (2000). Scholarship of the European Union in the framework of the program Transport of new ideas in the organization and research of the section of Algebra and Geometry ( ). Scholarship of the European Union in the framework of the program Heraklitos of the Operational Program for Education and Initial Vocational Training of the 3rd Community Support Framework of the Hellenic Ministry of Education ( ). Scholarship of the European Union in the framework of the program Pythagoras of the Operational Program for Education and Initial Vocational Training of the 3rd Community Support Framework of the Hellenic Ministry of Education ( ). The research visit in Badajoz was financed by the Plan Propio 2010 of the University of Extremadura. ERCIM Alain Bensoussan Fellowship (October 2012 to September 2013), co-funded by the European Commission under the FP7 Marie Curie action named ABCDE. TALKS AND POSTERS 1. October 2004; 5th Panhellenic Conference in Algebra and Number Theory, Ioannina (Greece), conference talk (30 minutes). 2. August 2005; Euroconference on Algebraic and Geometric Combinatorics, Anogia (Crete), conference talk (30 minutes). 3. June 2006; 6th Panhellenic Conference in Algebra and Number Theory, Thessaloniki (Greece), conference talk (30 minutes). 4. August 2007; Workshop on Combinatorics and Commutative Algebra II, Thessaloniki (Greece), workshop talk (40 minutes). 5. December 2007; Department of Mathematics and Statistics of the University of Cyprus, Nicosia (Cyprus), seminar talk (1 hour). 6. August 2008; Pragmatic 2008, Free resolutions and Hilbert series: algebraic, combinatorial and geometric aspects, Catania (Italy), workshop talk (30 minutes). 7. January 2009; Department of Mathematics of the University of the Aegean, Karlovassi Samos (Greece), seminar talk (1 hour). 8. April 2009; Department of Mathematics of the University of Athens, Athens (Greece), seminar talk (1 hour). 9. June 2010; Department of Mathematics of the Aristotle University of Thessaloniki, Thessaloniki (Greece), seminar talk (1 hour). 10. June 2010; Working group: Castelnuovo-Mumford regularity and Toric Varieties, IUFM Lyon and Institut Fourier Grenoble (France), 2 invited talks (1 hour each). 11. November 2010; Department of Mathematics of the University of Extremadura, Badajoz (Spain), seminar talk (1 hour). 6

7 12. November 2010; Toric Geometry Seminar (Combinatorial Commutative Algebra, Optimization and Statistics), Jarandilla de la Vera (Cáceres, Spain), invited conference talk (1 hour). 13. February 2011; Centennial Congress of the Spanish Royal Mathematical Society R.S.M.E. 2011, Ávila (Spain), presentation of a poster. 14. October 2012; ABCDE Seminar II, Inria, Sophia Antipolis (France), short presentation. 15. January 2013; PNA 1 working group Algebra and Combinatorics, Centrum Wiskunde and Informatica, Amsterdam (Netherlands), seminar talk (2 hours). 16. February 2013; Algebraic Geometry Seminar, Department of Applied Mathematics I of the Universitat Politecnica de Catalunya, Barcelona (Spain), seminar talk (1 hour). 17. April 2013; MIMUW Algebraic Geometry Seminar, Faculty of Mathematics, Informatics and Mechanics, Warsaw (Poland), seminar talk (2 hours). CONFERENCES AND WORKSHOPS ATTENDED 1. Lisbon Conference on Commutative Algebra, Lisbon-Portugal, th Panhellenic Conference in Algebra and Number Theory, Ioannina (Greece), Euroconference on Algebraic and Geometric Combinatorics, Anogia (Crete), th Panhellenic Conference in Algebra and Number Theory, Thessaloniki, Workshop on Combinatorics and Commutative Algebra II, Thessaloniki, Pragmatic 2008, Free resolutions and Hilbert series: algebraic, combinatorial and geometric aspects, Catania (Italy), International School on Combinatorics Pilar Pisón-Casares, Sevilla (Spain), Working group: Castelnuovo-Mumford regularity and Toric Varieties, IUFM Lyon and Institut Fourier Grenoble (France), Toric Geometry Seminar (Combinatorial Commutative Algebra, Optimization and Statistics), Jarandilla de la Vera (Cáceres, Spain), Centennial Congress of the Spanish Royal Mathematical Society R.S.M.E. 2011, Ávila (Spain), ABCDE Seminar II, Inria, Sophia Antipolis (France), October Intercity Number Theory Seminar, Eindhoven (Holland), November th Semidefinite Programming Days, CWI (Holland), March CWI Lexures: Discrete Mathematics and Optimization, CWI (Holland), 25 April Syzygies in Berlin, Berlin (Germany), May RISC/Intercity Number Theory Seminar, CWI (Holland), June Combinatorial Structures, Osnabrück (Germany), July Conference on Algebraic Geometry, Amsterdam (Holland), July

8 RESEARCH VISITS October-December 2010: 2 months visit at University of Extremadura (Badajoz, Spain). Host: Prof. Ignacio Ojeda. February 2013: 1 week visit at Universitat Politecnica de Catalunya (Barcelona, Spain). Host: Prof. Francesc Planas. April 2013: 1 week visit at Faculty of Mathematics, Informatics and Mechanics, Warsaw (Poland). Host: Prof. Jaroslaw Wisniewski. LANGUAGES Greek: native. English: fluent. 8

arxiv:math/ v1 [math.ac] 11 Jul 2006

arxiv:math/ v1 [math.ac] 11 Jul 2006 arxiv:math/0607249v1 [math.ac] 11 Jul 2006 MINIMAL SYSTEMS OF BINOMIAL GENERATORS AND THE INDISPENSABLE COMPLEX OF A TORIC IDEAL HARA CHARALAMBOUS, ANARGYROS KATSABEKIS, AND APOSTOLOS THOMA Abstract. Let