Alina Iacob. Book: Gorenstein homological algebra, Taylor and Francis Group CRC Press, ISBN , published July 2018.


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1 Alina Iacob Department of Mathematical Sciences Georgia Southern University Statesboro, GA Tel: (912) Education University of Kentucky, Lexington, KY Ph.D. in Mathematics August 2005 GPA: 4.00 Advisor: Professor Edgar E. Enochs University of Bucharest, Romania BA in Mathematics June 1992 Research Interests Homological Algebra, Commutative Algebra. Publications Book: Gorenstein homological algebra, Taylor and Francis Group CRC Press, ISBN , published July Journal articles: 1. Generalized Tate cohomology, Tsukuba Journal of Mathematics, 29(2): , Balance in generalized Tate cohomology. Communications in Algebra, 33(6): , Remarks on balance in generalized Tate cohomology, Archiv der Mathematik, 85(4): , with E.E. Enochs: The ℵ 1 product of DGinjective complexes, Proceedings of the Edinburgh Mathematical Society, 49(2): , Direct sums of exact covers of complexes, Mathematica Scandinavica, 98(2): , Absolute, Gorenstein, and Tate torsion modules, Communications in Algebra, 35(5): , 2007.
2 7. with E.E. Enochs, S. Estrada, and J.R. García Rozas: Gorenstein quivers, Archiv der Mathematik, 88(3): , with E.E. Enochs and O.M.G. Jenda: Closure under Transfinite Extensions, Illinois Journal of Mathematics, 51(2): , with E.E. Enochs, and S. Estrada: Rings with finite Gorenstein global dimension, Mathematica Scandinavica, 102(1):4558, with S.B. Iyengar: Homological dimensions and regular rings, Journal of Algebra, 322(10): , This paper is ranked no. 1 in the list of Science Direct TOP25 Hottest Articles October September 2010 Academic Year, Journal of Algebra ( 11. DGinjective covers, #injective covers, Communications in Algebra, 39(5): , Gorenstein flat dimension of complexes, Journal of Mathematics of Kyoto University, 49(4): , with E.E. Enochs, D. Bravo, O.M.G. Jenda and J. Rada Cotorsion pairs in C(R Mod), Rocky Mountain Journal of Mathematics, 42(6): , with E. E. Enochs and S. Estrada Cotorsion pairs, model structures and adjoints in homotopy categories, Houston Journal of Mathematics, 40(1): 4361, with E. E. Enochs and S. Estrada Gorenstein projective and flat complexes over noetherian rings, Mathematische Nachrichten, 285(7): , with E.E. Enochs and S. Estrada Balance with unbounded complexes, Bulletin of the London Mathematical Society, 44(3): , with E.E. Enochs and S. Estrada Gorenstein injective projective and flat (pre)covers, Acta Mathematica Universitatis Comenianae, 83(2): , with E.E. Enochs Gorenstein injective covers and envelopes over noetherian rings, Proceedings of the American Mathematical Society, 143:5 12, 2015 (published electronically on August 18, 2014). 19. Gorenstein flat preenvelopes, Osaka Journal of Mathematics, 52: , with E.E. Enochs, S. Estrada and S. Odabasi: Gorenstein projective resolvents, Communications in Algebra, 44(9): , Gorenstein injective covers and envelopes over rings that satisfy the Auslander condition, Acta Mathematica Universitatis Comenianae, 85(1): , Gorenstein injective envelopes and covers over two sided noetherian rings, Communications in Algebra, 45(5): , with S. Estrada and S. Odabasi Gorenstein flat and projective (pre)covers, Publicationes Mathematicae, 91 (12), pp , 2017.
3 24. with L. Chrisensen and S. Estrada: A Zariskilocal notion of Ftotal acyclicity for complexes of sheaves, Quaestiones Mathematicae, 40 (2), pp , with S. Estrada and K. Yeomans: Gorenstein projective precovers, Mediterranean Journal of Mathematics, 14:33, with S. Estrada: Gorenstein injective sheaves, Frontiers of Mathematics in China, 12(1): 8795, with S. Estrada and X. Fu: Totally acyclic complexes, Journal of Algebra, 470: , Gorenstein projective precovers, chapter in Trends in Mathematics, Research Perspectives CRM Barcelona, Vol. 5, Extended Abstracts Spring 2015: Interactions between Representation Theory, Algebraic Geometry and Commutative Algebra, pp , with D. Bravo and S. Estrada: F P n injective and F P n flat covers and preenvelopes, and Gorenstein ACflat covers, 40(2), pp , Awards/Grants/Research Stays Research stay (the Research in Pairs program) at the Centro Internazionale per la Ricerca Matematica, Trento, Italy, July 1829, Research stay (the Research in Pairs program) at the Centre International de Rencontres Mathematiques, Luminy, France, June 5 16, Research stay (the Research in Pairs program) at the Mathematische Forschunginstitut Oberwolfach, Germany, June 518, Research stay (Research in Teams workshop) at the Banff International Research Station, Canada, May 2229, National Science Foundation Grant DMS for organizing An International Conference in Homological Algebra at the University of Kentucky, July 22 24, 2015; continuation to organize the conference Homological Methods in Algebraic Structures, at Georgia Southern University, May 13 14, Start date 06/01/2015, End date 05/31/2017. Principal Investigator ($22,000 grant). Research Visit Grant from the Centre de Recerca Matematica, Barcelona, Spain, to participate in the research program on Interactions between Representation Theory, Algebraic Topology and Commutative Algebra, January 7  June 30, The grant covers lodging in the Vila Universitaria, Centre de Recerca Matematica, Barcelona, Spain. Fundacion Seneca (Spain) Grant for the project Relative homological algebra and its applications (reference code 18934/JLI/13) CoPI, July 1, 2014 June 30, 2016; Total amount: EUR (The PI is Sergio Estrada, University of Murcia, Spain) Georgia Southern University Faculty Research Award, Summer 2013 ($3,500 grant)
4 Summer Research Initiative Award, UNC, Wilmington, Summer 2006 ($3,500 grant) Student Travel Support from the Graduate School Fellowship Office, University of Kentucky: Fall 2004 ($400). Royster TA Award for the academic year, University of Kentucky ($500). Enochs Graduate Scholarship for Algebra for the academic year, University of Kentucky ($1,000). Kentucky Opportunity Fellowship for the academic year, University of Kentucky ($15,000). University Graduate Student Development Award for the academic year, University of Kentucky ($500). University of Kentucky Teaching Assistantship (August May 2005) Teaching Experience Professor, Department of Mathematical Sciences, Georgia Southern University, 2016 Associate Professor (tenured), Department of Mathematical Sciences, Georgia Southern University, Assistant Professor, Department of Mathematical Sciences (tenuretrack), Georgia Southern University Assistant Professor, Department of Mathematics and Statistics, University of North Carolina Wilmington (tenuretrack) Teaching Assistant, Department of Mathematics, University of Kentucky, Lexington, KY Instructor, Department of Mathematics, Academy of Economics Studies, Bucharest, Romania Teacher, High School, Bucharest, Romania Classes taught
5 Graduate: Modern Algebra I and II (at UNC Wilmington), Abstract Algebra I and II (at Georgia Southern University) Undergraduate: Trigonometry, Geometry for middle school teachers, Matrix Theory, Calculus (I, II, and III), Intermediate Algebra, College Algebra, Basic Calculus (I and II), Precalculus, Discrete Mathematics, Elementary Linear Algebra, Intermediate Linear Algebra, Mathematical Structures, Modern Algebra I and II. Conferences and seminars International Conference on Ring Theory and Applications, Faculty of Sciences, Mohammed V University in Rabat, Morocco, July 2 5, Plenary Talk: Totally acyclic complexes, July 4, AMS Meeting #1138: Vanderbilt University, Nashville, TN April 1415, Talk: F P n injective and F P n flat covers and preenvelopes, and Gorenstein ACflat covers. AMS Meeting #1136: Ohio State University, Columbus OH, March 16 18, Talk: F P n injective and F P n flat covers and preenvelopes, and Gorenstein ACflat covers. University of Kentucky Graduate Alumni Day, February 23, Talk: Building a career in mathematics. Maurice Auslander Distinguished Lectures and International Conference 2017, April 26  May 1, 2017, Woods Hole Oceanographic Institute, Quissett Campus. Talk: Totally acyclic complexes, April 26, AMS Meeting #1126: College of Charleston, Charleston, South Carolina, March 1012, Talk: Totally acyclic complexes, March 10, University of Murcia  Department of Mathematics Algebra Seminar, University of Murcia, Spain. Talk: Totally acyclic complexes, July 18, Some Trends in Algebra, Prague 2015, Charles University in Prague, September 14, 2015 Talk: Gorenstein flat preenvelopes, September 1, An International Conference in Homological Algebra, University of Kentucky, Lexington KY, July 2224, 2015
6 Talk: Gorenstein projective precovers over GFclosed rings, July 23, The seventh China Japan Korea International Conference on Ring Theory, Zhejiang University of Technology, Hangzhou, China, July 17, 2015 Plenary Talk: Gorenstein projective precovers over GFclosed rings, July 4, The Eighth Congress of the Romanian Mathematicians, Iasi, Romania, June 26  July 1, Talk: Gorenstein projective precovers, June 27, University of Murcia  Department of Mathematics Algebra Seminar, University of Murcia, Spain. Talk: Gorenstein projective precovers, March 24, Workshop Homological bonds between Commutative Algebra and Representation theory, Centre de Recerca Matematica, Barcelona, Spain, February 1620, Talk: Gorenstein flat and projective (pre)covers, February 19, University of Kentucky  Department of Mathematics Algebra and Geometry Seminar, University of Kentucky, Lexington. Talk: Gorenstein projective precovers, February 4, Algebraic Structures and their Applications, Spineto, Italy, June 1620, Talk: TateBetti and TateBass numbers University of Murcia  Department of Mathematics Colloquium, University of Murcia, Spain, June 13, Talk: Gorenstein injective envelopes and covers. Gorenstein flat preenvelopes Union College Mathematics Conference, Union College Schenectady NY, November 1920, Talk: Gorenstein injective envelopes Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society in partnership with Simion Stoilov Institute of Mathematics of the Romanian Academy, 1 Decembrie University of AlbaIulia, Romania, June 2730, Talk: Gorenstein injective envelopes over noetherian rings Recent Trends in Rings and Algebras conference, University of Murcia, Spain, June 37, Talk: Gorenstein injective envelopes University of Almeria  Department of Mathematics Colloquium, University of Almeria, Spain, May 31, Talk: Gorenstein injective covers and envelopes Workshop on Gorenstein Homological Algebra, University of Science and Technology of China, May 2526, 2013, Hefei, China. Talk: Gorenstein injective envelopes and covers
7 Workshop on Representation Theory, Homological Algebra and Free Resolutions, MSRI, February 1116, Georgia Southern University  Mathematical Sciences Departmental Colloquium, Georgia Southern University, November 16, Talk: Gorenstein injective envelopes Connections for women; Joint Introductory Workshop: Cluster Algebras and Commutative Algebra, MSRI, August 22 24, University of Murcia, Department of Mathematics Colloquium, Talk: DGinjective complexes, Murcia, Spain (June, 26, 2011) Augusta State University, Mathematics Colloquium, Talk: A survey of covers, Augusta GA (October 8, 2010) Commutative Algebra in the Southeast National Meeting, Talk: Gorenstein flat complexes over noetherian rings, Georgia State University, Atlanta, GA. (September 2426, 2010) Colloquium Georgia Southern University Talk: Direct sums of DGinjective complexes, December 4, 2009 AMS Meeting 1051, Waco TX, October 1618, Talk A characterization of regular rings. Commutative Algebra Meeting in the Southeast, Columbia SC, September 1213, Talk: Homological dimensions and regular rings. Homotopy Theory and Applications, University of NebraskaLincoln, April 35, Georgia State University  University of South Carolina Algebra Regional Meeting, Georgia State University, Atlanta GA, September 13 14, Talk: Gorenstein flat dimension for complexes Commutative Algebra: Connections with Algebraic Topology and Representation Theory, University of NebraskaLincoln, May 1822, MAASE 87th Annual Meeting, The Citadel, Charleston SC, March 2829, Talk: Some topics in Gorenstein Homological Algebra University of South Carolina  Georgia State University Commutative Algebra Seminar, USC, Columbia SC, January 19, Talk: DGinjective covers, #injective covers University of South Carolina  Georgia State University Commutative Algebra Seminar, USC, Columbia SC, November 24, Talk: AvramovMartsinkovsky type exact sequences
8 Georgia Southern University  Mathematical Sciences Departmental Colloquium, Georgia Southern University, October 22, Talk: DGinjective complexes Advances in Algebra and Geometry Workshop, MSRI, April 28 May USCGSU Commutative Algebra Seminar, University of South Carolina, Columbia SC, April 14, Talk: Direct sums of DGinjective complexes. AMS Meeting: 2007 Spring Southeastern Section Meeting, Davidson NC, March 3 4, Talk: Absolute, Gorenstein, and Tate torsion modules. Route 81 Conference on Commutative Algebra and Algebraic Geometry, Syracuse University, Syracuse NY, September 16, Talk: On DGinjective complexes. AMS Meeting, Florida International University, Miami FL, April 2, Talk: Direct sums of exact covers of complexes. Mathematics & Statistics Seminar, UNC Wilmington, November 18, Talk: Direct sums of DGinjective complexes. AMS Meeting, Lubbock TX, April 8 10, Talk: Remarks on balance in generalized Tate cohomology. Joint Mathematics Meetings, Atlanta, January 5 8, Talk: Products of DGinjective complexes. Algebra and Geometry seminar, University of Kentucky, Department of Mathematics. Talk: Balance in generalized Tate cohomology, November, 2004 Abelian Groups, Rings and Modules Conference, in honor of Edgar E. Enochs. Auburn University, September 9 11, Joint Midwest Commutative Algebra and Geometry Conference, in honor of Joseph Lipman. Purdue University, May 17 21, Algebra and Geometry seminar, University of Kentucky, Department of Mathematics. Talk: Generalized Tate Cohomology, February, 2004 Topology seminar, University of Kentucky, Department of Mathematics. Talk: Generalized Tate Cohomology, December, 2003 Emerging Scholars Program Instructor Workshop. August 7 9, University of Texas at Austin, Professional activities Reviewer for Mathematical Reviews (since 2005)
9 Reviewer for Zentralblatt fur Mathematik (since 2010) Refereed papers for Acta Mathematica Scientia Algebra Colloquium Algebras and Representation theory Arabian Journal of Science and Engineering Communications in Algebra Czechoslovak Mathematical Journal Glasgow Mathematical Journal Matematicki Vesnik Mathematica Scandinavica Journal of Algebra Journal of Algebra and its Applications Journal of the Australian Mathematical Society Kyoto Journal of Mathematics Proceedings of the American Mathematical Society Proceedings of the London Mathematical Society Rocky Mountain Journal of Mathematics Turkish Journal of Mathematics Coorganizer (with Saeed Nasseh) of the AMS Special Session on Homological Methods in Commutative Algebra, at the AMS meeting at North Carolina State University, Raleigh, November 1314, Coorganizer (with Martha Abell, Sergio Estrada, Emil Iacob, David Stone, Sharon Taylor) of the conference Homological Methods in Algebraic Structures, Georgia Southern University, May Coorganizer (with Sergio Estrada, Tom Cheatham, Overtoun Jenda, and David Stone) of An International Conference in Homological Algebra, University of Kentucky, Lexington KY, July 2224, 2015.
10 PhD Committee Member for Sinem Odabasi; she succesfully defended her PhD Thesis (CartanEilenberg Categories, Purity and Gorenstein Projective Resolvents) on March 13th at the University of Murcia, Spain. Coorganizer (with Adela Vraciu) of the AMS Special Session on Homological Methods in Commutative Algebra (SS 6A) at the AMS Meeting at Georgia Southern University, Statesboro GA, March 1213, Local organizer (with Martha Abell, Frederic Mynard, SzeMan Ngai, Xiangdong Xie and Shijun Zheng) of the AMS Meeting at Georgia Southern University, March 1213, Coorganizer (with Edgar Enochs) of the AMS Special Session on Relative homological algebra (SS 11A) at the AMS meeting at the University of Kentucky, Lexington KY, March 2728, Organizer of the Mathematics and Statistics Seminar, UNC Wilmington, Master s Theses Directed Katelyn Yeomans Coggins: Gorenstein projective precovers in the category of modules, Georgia Southern University, Michael Fox: Gorenstein projective precovers, Georgia Southern University, Chasen Smith: On Gorenstein projective and Gorenstein flat modules, Georgia Southern University, Emily McLean: On Gorenstein injective modules, Georgia Southern University, Jonathan Crosby: Covering DG C complexes, Georgia Southern University, Service Member, Search Committee for the Associate Chair (Armstrong campus), Fall Member of the Search Committee (Mathematics), Chair Post Tenure Committee, Marshal in the Graduate Commencement December 2015 Member of the COSM Academic Excellence Committee ( ) Member of the Senate ( )
11 Member of the Search Committee, Georgia Southern University ( , , ) Marshal in the Graduate Commencement May 2013 Member of the Tenure and Promotion Committee, Georgia Southern University ( , , ) Alternate in the Senate ( ) Member of the Peer Review Committee, Georgia Southern University ( , ) COST Scholarship Committee member for the Scholars Day (Spring 2012) Course Coordinator for Calculus I, Georgia Southern University (Spring 2011) Member of the ODP Task force, Georgia Southern University (2010) Member of the Course and Curriculum Committee, Georgia Southern University ( ) Member of the Grants and Scholarships Committee, Georgia Southern University ( , (Chair), , , ) Member of the Colloquium Committee, Georgia Southern University ( , , , , ) Member of the Mathematics Tournament Committee, Georgia Southern University ( ) Member of the Hospitality Committee, Georgia Southern University ( ) Member of the Newsletter Board ( , ), Georgia Southern University Member of the Faculty Committee, UNC Wilmington ( , ) Organizer of the Mathematics & Statistics Seminar, UNC Wilmington ( , ) Member of the Library Committee, UNC Wilmington (chair ) Member of the Mathematics Interest Group, UNC Wilmington ( , ) Professional certificates Grad Didactic II, University of Bucharest, Romania, August Definitivatul, University of Bucharest, Romania, August 1994.