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Gustavo Jasso
Doctor of Philosophy
Mathematik Zentrum, Universität Bonn
Endenicher Allee 60, D-53115 Bonn, Germany
T +49 (0) 228 73 62234
B [email protected]
Í https://gustavo.jasso.info
Last update: January 20, 2016
Biographical information
Full name
Gustavo Jasso Ahuja
Birth date
March 18, 1987
Hometown
Guadalajara, Mexico
Nationality
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
2014–Present
Postdoc, Hausdorff Center for Mathematics, Universität Bonn.
Mentor: Prof. Dr. Jan Schröer.
Starting date: October 1, 2014.
2011–2014
2010
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
2011–2014
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, 2014.
2009–2011
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
2005–2010
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, 2015.
2011–2014
Scholarship for foreign studies (Ph.D. program), Consejo Nacional de Ciencia y
Tecnología (CONACyT), Mexico.
2010–2011
Scholarship for the M.Sc. program in mathematics, Consejo Nacional de Ciencia y
Tecnología (CONACyT), Mexico.
2010
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).
2009–2010
PAPIIT Scholarship CB-2007/81948, Universidad Nacional Autónoma de México
(UNAM).
2009–2011
Student fellow, Instituto de Matemáticas, Universidad Nacional Autónoma de
México (IM-UNAM).
Academical work
Aug 2015
Examiner (Prüfer) for Master’s thesis in mathematics, “Representation Theory of
Polyquivers” by Vanessa Katharina Gierse (supervised by Prof. Dr. Jan Schröer),
Universität Bonn.
Nov 2010
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.
2009
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).
Research visits
Nov 2015
Universität Stuttgart.
Host: Dr. Julian Külshammer.
Duration: One month.
Sep–Oct 2015
Instituto de Matemáticas, Universidad Nacional Autónoma de México (IM-UNAM).
Hosts: Prof. Dr. Christof Geiß and Prof. Dr. Octavio Mendoza.
Duration: One month.
Jul 2015
Universität Stuttgart.
Host: Dr. Julian Külshammer.
Duration: One week and a half.
Jun 2015
Norges teknisk-naturvitenskapelige universitet (NTNU).
Hosts: Prof. Dr. Petter Bergh and Dr. Marius Thaule.
Duration: One week.
2/5
Jan 2015
Universität Stuttgart.
Host: Dr. Julian Külshammer.
Duration: Two weeks.
List of publications
Preprints
[1]
Laurent Demonet, Osamu Iyama, and Gustavo Jasso. -rigid finite algebras and
g -vectors. arXiv:1503.00285, 2015.
Accepted for publication
[1]
Gustavo Jasso. n-abelian and n-exact categories. Math. Z.
Published
[1]
Petter Bergh, Marius Thaule, and Gustavo Jasso. Higher n-angulations from local
rings. J. Lond. Math. Soc. (2), 2, jan 2016.
[2]
Gustavo Jasso. 2 -stable tilting complexes over weighted projective lines. Adv.
Math., 273:1–31, 2015.
[3]
Gustavo Jasso. Reduction of -tilting modules and torsion pairs. Int. Math. Res.
Not. IMRN, 2014.
[4]
Gustavo Jasso. The extended affine Lie algebra associated with a connected
non-negative unit form. J. Algebra, 409:148–161, 2014.
[5]
Michael Barot, Christof Geiß, and Gustavo Jasso. Tubular cluster algebras II:
Exponential growth. J. Pure Appl. Algebra, 217(10):1825–1837, 2013.
Talks in conferences, workshops and seminars
Jan 2015
Oberseminar Darstellungstheorie, Universität Bonn, Bonn, Germany.
Title: Higher Nakayama Algebras (scheduled).
Nov 2015
Representation Theory Seminar, Universität Stuttgart, Stuttgart, Germany.
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.
Oct 2015
Seminario de teoría de representaciones, Instituto de Matemáticas, Universidad
Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico, planned.
Title: Reducción de módulos -inclinantes.
Oct 2015
Seminario de teoría de representaciones, Instituto de Matemáticas, Universidad
Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico.
Title: Una introducción a la teoría -inclinante.
Oct 2015
Workshop “Preprojective Algebras Interacting with Singularities, Cohen-Macaulay
Modules and Weighted projective Spaces”, BIRS/Casa Matemática Oaxaca, Oaxaca,
Mexico.
Title: Higher Nakayama Algebras
Oct 2015
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
Sep 2015
Seminario de teoría de representaciones, Instituto de Matemáticas, Universidad
Nacional Autónoma de México (IM-UNAM), Mexico City, Mexico.
Title: Sobre algunas generalizaciones en álgebra homológica I y II.
Aug 2015
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.
Jul 2015
Representation Theory Seminar, Universität Stuttgart, Stuttgart, Germany.
Title: Higher Nakayama Algebras.
Jul 2015
Workshop: Silting theory and related topics, Università degli Studi di Verona,
Verona, Italy.
Title: -rigid finite algebras.
Jun 2015
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.
Jun 2015
Seminar, Norges teknisk-naturvitenskapelige universitet (NTNU), Trondheim,
Norway.
Title: Frobenius d-exact categories.
May 2015
Oberseminar Darstellungstheorie, Universität Bonn, Bonn, Germany.
Title: -rigid finite algebras.
May 2015
Higher Seminar in Mathematics/Applied Mathematics, Mälardalens högskola,
Västerås, Sweden.
Title: Cluster algebras.
May 2015
‘Tell us about. . . ’ Seminar, Institut Mittag-Leffler, Djursholm, Sweden.
Title: An introduction to -tilting theory.
Mar 2015
Maurice Auslander International Conference, Woods Hole Oceanographic Institute,
Woods Hole MA, USA.
Title: The d-abelian property of d-cluster-tilting subcategories.
Mar 2015
Research Seminar, Nagoya University, Nagoya, Japan.
Title: Higher Auslander–Reiten theory, revisited.
Jan 2015
Representation Theory Seminar, Universität Stuttgart, Stuttgart, Germany.
Title: An introduction to -tilting theory I and II.
Dec 2014
Homological Interactions between Representation Theory and Singularity Theory,
University of Edinburgh, Edinburgh, Scotland.
Title: Towards higher homological algebra.
Nov 2014
Reading Seminar: Geometric Invariant Theory and Nakajima’s Quiver Varieties,
Max-Planck-Institut für Mathematik, Bonn, Germany.
Title: Quiver moduli, after Alastair King.
Oct 2014
BIREP Seminar, Universität Bielefeld, Bielefeld, Germany.
Title: n-abelian categories.
Oct 2014
Oberseminar Darstellungstheorie, Universität Bonn, Bonn, Germany.
Title: n-abelian categories.
Aug 2014
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
Nov 2013
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.
Oct 2013
Oberwolfach Seminar: Cluster Algebras and Representation Theory, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany.
Title: -tilting theory.
Jul 2013
Nagoya cluster algebras seminar, Graduate School of Mathematics, Nagoya University, Nagoya, Japan.
Title: Skewsymmetric cluster algebras and their categorifications.
Jun 2013
16th Workshop on Represenation Theory of Algebraic Groups and Quantum
Groups, Goura, Japan.
Title: Reduction of -tilting modules and torsion classes.
Sep 2012
45th Symposium in Ring Theory and Representation Theory, Shinshuu University,
Matsumoto, Japan.
Title: Cluster-tilted algebras of canonical type and quivers with potentials.
Aug 2012
XV International Conference on Representations of Algebras and Workshop, Bielefeld University, Bielefeld Germany.
Title: -tilting reduction.
May 2012
15th Workshop on Represenation Theory of Algebraic Groups and Quantum
Groups, Nagano, Japan.
Title: Cluster-tilted algebras of canonical type and quivers with potential.
Mar 2012
Research Seminar in Representation Theory, Graduate School of Mathematics,
Nagoya University, Nagoya, Japan.
Title: 2-Representation-finite quasi-canonical algebras.
Nov 2011
Representation Theory Seminar, Graduate School of Mathematics, Nagoya University, Nagoya, Japan.
Title: The growth of a cluster algebra of tubular type.
Aug 2011
Segundo Aquelarre Matemático, Facultad de Ciencias, Universidad Nacional
Autónoma de México (FC-UNAM), Mexico City, Mexico.
Title: Abstracción sin sentido o teoría de categorías.
Nov 2010
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.
Aug 2010
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.
Jun 2010
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