Representation theory of finite dimensional algebras

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1 Gustavo Jasso Doctor of Philosophy Mathematik Zentrum, Universität Bonn Endenicher Allee 60, D Bonn, Germany +49 (0) Last update: January 20, 2016 Full name Biographical information Gustavo Jasso Ahuja Birth date March 18, 1987 Hometown Nationality 2014 Present Guadalajara, Mexico Mexican Research interests Representation theory of finite dimensional algebras (Higher) Auslander Reiten theory Silting, tilting and -tilting theory Categorifications of cluster algebras Homological algebra and its generalizations Abelian, exact and triangulated categories d-abelian, d-exact and (d + 2)-angulated categories Enhancements of triangulated categories and (d + 2)-angulated categories Employment Postdoc, Hausdorff Center for Mathematics, Universität Bonn. Mentor: Prof. Dr. Jan Schröer. Starting date: October 1, Research assistant, Graduate School of Mathematics, Nagoya University Teaching assistant, Facultad de Ciencias, Universidad Nacional Autónoma de México (FC-UNAM). Course: Linear algebra I, fall semester (in Spanish). I lectured one hour per week, solved problems and taught algorithms. Education Doctor of Philosophy (Mathematical Science), Nagoya University. Thesis title: On -tilting theory and higher Auslander Reiten theory. Supervisor: Prof. Dr. Osamu Iyama. Degree obtained on September 29, Master of Science degree in mathematics (with honorific mention), Universidad Nacional Autónoma de México (UNAM). Thesis title: El crecimiento de un álgebra de conglomerados de tipo tubular. Supervisors: Prof. Dr. Michael Barot and Prof. Dr. Christof Geiß. GPA: 9.87/10. 1/5

2 Undergraduate degree in mathematics (with honorific mention), Universidad Nacional Autónoma de México (UNAM). Thesis title: Álgebras de Lie de tipo afín extendido y formas cuadráticas. Supervisor: Prof. Dr. Michael Barot. GPA: 9.84/10. Academical distinctions 2015 Postdoc fellowship, Institut Mittag-Leffler. For participating in the program Representation Theory during the period March 22 May 22, Scholarship for foreign studies (Ph.D. program), Consejo Nacional de Ciencia y Tecnología (CONACyT), Mexico Scholarship for the M.Sc. program in mathematics, Consejo Nacional de Ciencia y Tecnología (CONACyT), Mexico Sotero Prieto Award, Sociedad Matemática Mexicana. Awarded to the best undergraduate thesis in mathematics presented at a Mexican institution between June 2009 and May 2010 (three theses were recognized) PAPIIT Scholarship CB-2007/81948, Universidad Nacional Autónoma de México (UNAM) Student fellow, Instituto de Matemáticas, Universidad Nacional Autónoma de México (IM-UNAM). Aug 2015 Nov 2010 Academical work Examiner (Prüfer) for Master s thesis in mathematics, Representation Theory of Polyquivers by Vanessa Katharina Gierse (supervised by Prof. Dr. Jan Schröer), Universität Bonn. Festival Matemático del Instituto de Matemáticas, Member of the Organizing Committee. The festival took place at a public square in Mexico City. The event s main goal was to raise public awareness of mathematics, and thus it featured activities for people of all ages Social service for the undergraduate program in mathematics, Facultad de Ciencias, Universidad Nacional Autónoma de México (FC-UNAM). Translation to the English language of the book Un paseo por Hiperbolia written by Michael Barot, edited by the Sociedad Matemática Mexicana (the translation is unpublished). Nov 2015 Sep Research visits Duration: One month. Instituto de Matemáticas, Universidad Nacional Autónoma de México (IM-UNAM). Hosts: Prof. Dr. Christof Geiß and Prof. Dr. Octavio Mendoza. Duration: One month. Duration: One week and a half. Norges teknisk-naturvitenskapelige universitet (NTNU). Hosts: Prof. Dr. Petter Bergh and Dr. Marius Thaule. Duration: One week. 2/5

3 Jan 2015 Duration: Two weeks. List of publications Preprints [1] Laurent Demonet, Osamu Iyama, and Gustavo Jasso. -rigid finite algebras and g-vectors. arxiv: , Accepted for publication [1] Gustavo Jasso. n-abelian and n-exact categories. Math. Z. Published Jan 2015 Nov 2015 [1] Petter Bergh, Marius Thaule, and Gustavo Jasso. Higher n-angulations from local rings. J. Lond. Math. Soc. (2), 2, jan [2] Gustavo Jasso. 2 -stable tilting complexes over weighted projective lines. Adv. Math., 273:1 31, [3] Gustavo Jasso. Reduction of -tilting modules and torsion pairs. Int. Math. Res. Not. IMRN, [4] Gustavo Jasso. The extended affine Lie algebra associated with a connected non-negative unit form. J. Algebra, 409: , [5] Michael Barot, Christof Geiß, and Gustavo Jasso. Tubular cluster algebras II: Exponential growth. J. Pure Appl. Algebra, 217(10): , Talks in conferences, workshops and seminars Title: Higher Nakayama Algebras (scheduled). Title: A short proof of the defect formula for d-exact sequences. Nov 2015 Seminar: Fukaya Categories and Related Topics, Universität Bonn, Bonn, Germany. Title: A1-categories, part III: triangulated A1-categories. Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico, planned. Title: Reducción de módulos -inclinantes. Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico. Title: Una introducción a la teoría -inclinante. Workshop Preprojective Algebras Interacting with Singularities, Cohen-Macaulay Modules and Weighted projective Spaces, BIRS/Casa Matemática Oaxaca, Oaxaca, Mexico. Title: Higher Nakayama Algebras Jornadas de Álgebra 2015, Instituto de Matemáticas, Universidad Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico, planned. Title: From G-sets to dg modules. 3/5

4 Sep 2015 Aug 2015 Mar 2015 Mar 2015 Jan 2015 Dec 2014 Nov 2014 Oct 2014 Oct 2014 Aug 2014 Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico. Title: Sobre algunas generalizaciones en álgebra homológica I y II. BIREP Summer School on Koszul Duality, Hotel Waldcafé Jäger, Bad Driburg, Germany. Title: Koszulity and the Hilbert series of preprojective algebras, after Pavel Etingof and Ching-Hwa Eu. Title: Higher Nakayama Algebras. Workshop: Silting theory and related topics, Università degli Studi di Verona, Verona, Italy. Title: -rigid finite algebras. Advances in Representation Theory of Algebras (ARTA), Centro de Investigación en Matemáticas, A.C. (CIMAT), Guanajuato, Mexico. Title: From higher Auslander Reiten theory to higher homological algebra. Seminar, Norges teknisk-naturvitenskapelige universitet (NTNU), Trondheim, Norway. Title: Frobenius d-exact categories. Title: -rigid finite algebras. Higher Seminar in Mathematics/Applied Mathematics, Mälardalens högskola, Västerås, Sweden. Title: Cluster algebras. Tell us about... Seminar, Institut Mittag-Leffler, Djursholm, Sweden. Title: An introduction to -tilting theory. Maurice Auslander International Conference, Woods Hole Oceanographic Institute, Woods Hole MA, USA. Title: The d-abelian property of d-cluster-tilting subcategories. Research Seminar, Nagoya University, Nagoya, Japan. Title: Higher Auslander Reiten theory, revisited. Title: An introduction to -tilting theory I and II. Homological Interactions between Representation Theory and Singularity Theory, University of Edinburgh, Edinburgh, Scotland. Title: Towards higher homological algebra. Reading Seminar: Geometric Invariant Theory and Nakajima s Quiver Varieties, Max-Planck-Institut für Mathematik, Bonn, Germany. Title: Quiver moduli, after Alastair King. BIREP Seminar, Universität Bielefeld, Bielefeld, Germany. Title: n-abelian categories. Title: n-abelian categories. XVI International Conference on Representations of Algebras and Workshop, Tsinghua Sanya International Mathematics Forum, Sanya, China. Title: n-abelian categories and n-exact categories. 4/5

5 Nov 2013 Oct 2013 Jul 2013 Jun 2013 Sep 2012 Aug 2012 May 2012 Mar 2012 Nov 2011 Aug 2011 Nov 2010 Aug 2010 Jun 2010 Perspectives of Representation Theory of Algebras. Conference honoring Kunio Yamagata on the occasion of his 65th birthday, Nagoya University, Nagoya, Japan. Title: On the simplicial complex associated with support -tilting modules. Oberwolfach Seminar: Cluster Algebras and Representation Theory, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. Title: -tilting theory. Nagoya cluster algebras seminar, Graduate School of Mathematics, Nagoya University, Nagoya, Japan. Title: Skewsymmetric cluster algebras and their categorifications. 16th Workshop on Represenation Theory of Algebraic Groups and Quantum Groups, Goura, Japan. Title: Reduction of -tilting modules and torsion classes. 45th Symposium in Ring Theory and Representation Theory, Shinshuu University, Matsumoto, Japan. Title: Cluster-tilted algebras of canonical type and quivers with potentials. XV International Conference on Representations of Algebras and Workshop, Bielefeld University, Bielefeld Germany. Title: -tilting reduction. 15th Workshop on Represenation Theory of Algebraic Groups and Quantum Groups, Nagano, Japan. Title: Cluster-tilted algebras of canonical type and quivers with potential. Research Seminar in Representation Theory, Graduate School of Mathematics, Nagoya University, Nagoya, Japan. Title: 2-Representation-finite quasi-canonical algebras. Representation Theory Seminar, Graduate School of Mathematics, Nagoya University, Nagoya, Japan. Title: The growth of a cluster algebra of tubular type. Segundo Aquelarre Matemático, Facultad de Ciencias, Universidad Nacional Autónoma de México (FC-UNAM), Mexico City, Mexico. Title: Abstracción sin sentido o teoría de categorías. Student Fellows Seminar, Instituto de Matemáticas, Universidad Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico. Title: Hay una única manera de hacer álgebra lineal. XIV International Conference on Representations of Algebras and Workshop, Tokyo, Japan. Title: The extended affine Lie algebra associated with a connected non-negative unit form. Joint Seminar Morelia Mexico City on Representation Theory of Algebras, Instituto de Matemáticas, Universidad Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico. Title: Álgebras de Lie de tipo afín extendido. Languages Spanish, native language. Nov 2010 English, fluent in speaking, reading and writing, TOEFL ibt: 114/120. 5/5