Curriculum Vitae of Hop D. Nguyen

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1 of Fakultät für Mathematik, Otto-von-Guericke Universität Magdeburg, Universitätsplatz 2, Magdeburg, Germany. Website: EDUCATION Ph.D. in Mathematics, University of Osnabrück, Germany. Advisor: Tim Römer Bachelor in Mathematics, Hanoi University of Science, Vietnam. Advisor: Ngô Viêt Trung. RESEARCH INTERESTS Commutative Algebra, Homological Algebra and their interactions with Combinatorics and Algebraic Geometry. POSITIONS 2017 Oct.. Postdoc at Otto-von-Guericke Universität Magdeburg Oct Sep. Postdoc at the University of Genoa, supported by a Marie Curie fellowship of the Istituto Nazionale di Alta Matematica (INdAM) Teaching assistant, Friedrich Schiller University of Jena and University of Osnabrück Postdoctoral researcher, supervised by Prof. Aldo Conca, University of Genoa. REFEREED PUBLICATIONS [12] and Thanh Vu, On the asymptotic behavior of the linearity defect, to appear in Nagoya Math. J., doi.org/ /nmj [11], The absolutely Koszul property of Veronese subrings and Segre products, J. Pure Appl. Algebra 222 (2018), no. 8, [10] and Thanh Vu, Linearity defect of edge ideals and Fröberg s theorem, J. Algebr. Combin. 44 (2016), [9], Notes on the linearity defect and applications, Illinois J. Math. 59 (2015),

2 [8], Regularity bounds for complexes and their homology, Math. Proc. Cambridge Phil. Soc. 159 (2015), [7] Aldo Conca, Srikanth B. Iyengar, and Tim Römer, Absolutely Koszul algebras and the Backelin-Roos property, Acta. Math. Vietnam. 40 (2015), [6] and Thanh Vu, Regularity over homomorphisms and a Frobenius characterization of Koszul algebras, J. Algebra 429 (2015), [5], Phong D. Thieu, and Thanh Vu, Koszul determinantal rings and 2 e matrices of linear forms, Michigan Math. J. 64 (2015), [4] and Neil Epstein, Algebra retracts and Stanley-Reisner rings, J. Pure Appl. Algebra 218 (2014), [3], On the Koszul property of toric face rings, J. Commut. Algebra 6, no. 2 (2014), [2], Seminormality and local cohomology of toric face rings, J. Algebra 371 (2012), [1] Cristina Bertone,, and Kathrin Vorwerk, The cone of Hilbert functions of squarefree modules, Le Matematiche 67 (2012), PREPRINTS/SUBMITTED PAPERS [5] and Thanh Vu, Homological invariants of powers of fiber products, submitted (2018), [4] H. Tài Hà,, Ngô V. Trung and Trân N. Trung, Symbolic powers of sums of ideals, submitted (2018), arxiv.org/abs/ [3] Aldo Conca,, and Thanh Vu, Products of ideals of linear forms in quadric hypersurfaces, submitted (2017), arxiv.org/abs/ [2] and Thanh Vu, Powers of sums and their homological invariants, submitted (2017), arxiv.org/abs/ [1] and Ngô V. Trung, Depth functions of symbolic powers of homogeneous ideals, Preprint (2017). REFEREEING WORK Referee for Pacific Journal of Mathematics, Journal of Algebra, Mathematica Scandinavica (quick opinion), Communications in Algebra, Journal of Algebra and its Applications (2 ), Springer s volume Bridging Algebra, Geometry, and Topology, Vietnam Journal of Mathematics. 2

3 Reviewing papers for Mathematical Reviews since 2014 Dec. Reviewed papers for Zentralblatt MATH from 2012 Jun. to 2015 Sep. TEACHING EXPERIENCE VISITS Teaching assistant for Mathematical Foundations (in English) and Toric geometry (in German) (WS 2017/18), Otto-von-Guericke Universität Magdeburg. Delievered four 2-hour lectures in an advanced course for graduate students of University of Genoa (WS 2016/17). The topic is Free resolutions and products of ideals. Teaching assistant for Algebraic Topology (in German, WS 2014/15), Friedrich Schiller University of Jena. Teaching assistant for Theory of Functions (in German, SS 2015), Elements of Discrete Geometry (in German, SS 2012), University of Osnabrück Aug. Sep. (1 week), Philipps Universität Marburg Aug. (1 week). University of Osnabrück Apr. May (3 weeks). Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi, Vietnam Mar. (1 month). Department of Mathematics, University of Nebraska-Lincoln, USA. Invited by Prof. Luchezar Avramov Jul. (1 week), 2011 Mar. (2 weeks). Department of Mathematics, University of Genoa, Italy. Granted by the German-Italian cooperative Vigoni project. INVITED PRESENTATIONS AT SEMINARS AND CONFERENCES 2018 Mar Powers and symbolic powers of ideals. Four one-hour lectures at CIMPA School on Combinatorial Commutative Algebra, CIIT Lahore Pakistan Nov. 21. Free resolutions of edge ideals. Seminar of the Institute for Algebra and Geometry, Otto-von-Guericke Universität Magdeburg, Germany. 3

4 Oct Absolutely Koszul algebras. Workshop on Commutative Algebra, honoring Peter Schenzel s 60th birthday, Osnabrück. Sep Vanishing of maps of Tor and powers of ideals. International Conference on Commutative Algebra and its interaction to Combinatorics, Discrete Geometry and Singularity Theory. Honoring Le Tuan Hoa s 60th birthday. Hanoi & Ha Long (Vietnam). Sep Products of ideals of linear forms in quadric hypersurfaces. School and workshop on syzygies, Trento (Italy) Aug. 4. Splitting powers of sums. Oberseminar Algebra, Universität Osnabrück. Jul Powers of mixed sums and their linearity defect (Poster presentation). Conference Commutative Algebra and its Interactions with Algebraic Geometry: Tight Closure, Linkage, and Syzygies. Honoring the 65th birthday of Craig Huneke, Ann Arbor, Michigan. Apr. 28. Powers of ideals: the case of mixed sums. Commutative Algebra Seminar, Vietnam Institute for Advanced Study in Mathematics, Hanoi. Apr. 20. Linearity defect of edge ideals. Algebra and Number Theory Seminar, Hanoi Institute of Mathematics, Hanoi. Apr. 19. Linearity defect and Betti splittings. Commutative Algebra Seminar, Vietnam Institute for Advanced Study in Mathematics, Hanoi. Mar. 2. Componentwise linearity of some intersection of ideals. Algebra and Geometry Seminar, University of Genoa Oct Linearity defect of edge ideals and Fröberg s theorem (Poster presentation). Workshop Combinatorial and Experimental Methods in Commutative Algebra and Related Fields, Universität Osnabrück. Jun. 30. Linearity defect of edge ideals. Oberseminar Algebra, Universität Osnabrück. 4

5 Mar. 30. Good and bad behaviour of the linearity defect. Commutative Algebra Seminar, University of Nebraska-Lincoln. Mar Linearity defect and absolutely Koszul algebras. Workshop Commutative Algebra and related topics, University of Kansas, Lawrence. Mar. 12. Regularity bounds for complexes and their homology. Commutative Algebra Seminar, University of Nebraska-Lincoln. Feb Linear resolutions over quadratic hypersurfaces (contributed talk). Workshop Homological bonds between Commtative Algebra and Representation Theory, Centre de Recerca Mathemàtica, Barcelona Apr. 22. Absolutely Koszul algebras. Oberseminar Algebra/Zahlentheorie, Friedrich-Schiller-Universität Jena. Jan Algebraic properties of linear sections of rational normal scrolls. Genova-Torino-Milano seminar Some Topics in Commutative Algebra and Algebraic Geometry, Politecnico di Milano Jul Algebra retracts and Stanley-Reisner rings. Conference on Combinatorial Structures in Algebra and Topology, Osnabrück. Jun Koszul algebras and the Frobenius endomorphism (contributed talk). EACA s Second International School On Computer Algebra and Applications, Valladolid. May 22. Koszul algebras defined by matrices of linear forms. Seminario post-doc INdAM, University of Genoa. Mar. 13. Koszul algebras and Frobenius endomorphisms. Seminario post-doc INdAM, University of Genoa. Jul. 3. Algebra retracts of Stanley-Reisner rings. Seminario di Algebra e Geometria, University of Genoa and before 2011 Dec. 6. Koszul property of toric face rings. Graduiertenkolleg Seminar, Institute of Mathematics, Osnabrück Mar. 25. Some remarks on toric face rings. Seminario di Algebra e Geometria, University of Genoa. 5

6 2010 Dec. 14. The upper bound conjecture for simplicial spheres (expository talk). Graduiertenkolleg Seminar, Institute of Mathematics, Osnabrück May 19. Castelnuovo-Mumford regularity of a class of toric rings with isolated singularity. Graduiertenkolleg Seminar, Institute of Mathematics, Osnabrück. CONFERENCES ATTENDED 2017 Nov. 30 Dec. 2. Algebraic methods in statistics, Osnabrück May Workshop Ordinary and symbolic powers of ideals, Banff International Research Station of Casa Matemática Oaxaca, Mexico (participation by invitation only) Oct Incontro di Algebra Commutativa, Genova May Normaliz Workshop, Osnabrück Sep Meeting on combinatorial commutative algebra 2014, Trentino Jul Commutative algebra and its interactions with algebraic geometry, CIRM, Luminy Nov Oberwolfach Seminar Cohen-Macaulay Modules, Surface Singularities and McKay Correspondence, Oberwolfach Jun. 20 Jul. 9. Summer school PRAGMATIC Graded algebras and modules - properties and invariants, Catania Jun. 4. Conference Bochum Düsseldorf Osnabrück Algebra und Geometry, Osnabrück Apr Mini Colloquium Algebraic and Stochastics Methods in Convex Geometry, Osnabrück Jun. 26 Jul. 2. Mathematics Research Communities in Commutative Algebra, American Mathematical Society, Utah Oct Workshop Combinatorial structures in algebra and topology, Osnabrück Jul. 11. Conference Bochum Düsseldorf Osnabrück Algebra und Geometry, Bochum Jun Summer school Computer algebra and syzygies, Nordfjordeid (Norway). 6

7 2007 Dec. 3. Japan Vietnam joint seminar on Commutative Algebra, Hanoi (Vietnam). PERSONAL is a native Vietnamese who was born on 21/12/1986 in Nam Dinh. His language proficiency includes English (fluent), German (good reading and speaking skills) and Italian (beginner). 7

Linquan Ma. Contact Information

Linquan Ma. Contact Information Linquan Ma Contact Information Research Interests Department of Mathematics Phone: +1 765 49-41956 Purdue University E-mail: ma326@purdue.edu 150 N. University Street lquanma1019@gmail.com West Lafayette,